Model

Problem 1501

How do you use a number line to show the subtraction of two integers, say $a - b$ ?

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Problem 1502

In a survey of 100 traders selling fruits, find those selling only oranges and mangoes using a Venn diagram.

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Problem 1503

Graph the function $f(x)=x+5$ .

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Problem 1504

Graph the function $f(x)=x+5$ . Identify the points A, B, C, and D on the graph.

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Problem 1505

Find point $B$ on line segment $AC$ where $A(6,-6)$ , $C(-6,-2)$ , and $AB=\frac{3}{4}AC$ .

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Problem 1506

There are 5 more girls than boys at a party with 27 kids total. How many boys are there? Express girls in terms of boys.

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Problem 1507

What expression equals "2 times (a number + 3)"?

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Problem 1508

Find the expression for the area of a triangular attic floor with height $n \mathrm{yd}$ and base $6 \mathrm{yd}$ .

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Problem 1509

Find the equation of a line through $(3,4)$ with slope -2 using point-slope form: $y-4=[?](x-[])$ .

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Problem 1510

There are 2 more horses than cows in a field with 16 animals total. How many horses are there? Use $c$ for cows.

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Problem 1511

Find the equation in point-slope form for a line through $(2,5)$ with slope 3: $y - [5] = [3](x - [2])$ .

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Problem 1512

Find the slope-intercept equation of the line through points $(-1,10)$ and $(3,2)$ . $y=[?] x+$

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Problem 1513

Make ten to solve $8 + 9$ using a different approach.

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Problem 1514

Find the interior angle in terms of the exterior angle $x$ given the ratio of interior to exterior angles is $7:1$ .

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Problem 1515

שרטט את גרף הפונקציה $f(x)=2x - |x - 3|$ .

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Problem 1516

Determine the equation of the plane through points $A(1, 0, 0)$ , $B(0, -3, 1)$ , and $C(2, -2, 0)$ .

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Problem 1517

You have \ $3200 to invest in three funds with returns of$ 10\% $,$ 7\% $, and$ 5\%$. Invest twice as much in growth as in money market. How to allocate?

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Problem 1518

Graph the function defined by $f(x) = x + 5$ .

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Problem 1519

Berechnen Sie den effektiven Jahressatz für Lieferantenkredite mit 1,5\% Skonto in 3 Tagen oder 20 Tage netto.

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Problem 1520

Two identical cylinders of radius $R$ are melted into three smaller cylinders of radius $r$ and height $24 \mathrm{~cm}$ . Given that the base area of the larger cylinder is 9 times that of the smaller one:
(a) Express $R$ in terms of $r$ . (b) Find the height of the larger cylinder.

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Problem 1521

A store charges based on items bought. Jane paid \$15 for 4 items, George \$39 for 12. Find the cost for 22 items.

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Problem 1522

A hair salon charges a fixed \$25 for a haircut and \$15 for other services. Find the cost function and evaluate for 1 haircut and 3 services.

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Problem 1523

A salon charges \$2500 for a haircut and \$15 for each extra service. Find the cost for a haircut and 3 extra services.

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Problem 1524

Luke's concrete cost function for $x$ sq ft is $f(x)=3.5x+95$ . Choose the correct option from the given choices.

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Problem 1525

An appliance repair service charges a \ $75 fee plus \$55 per hour. What is the function$ f(h) $for hours$ \mathrm{h}$?
A. $f(h)=55 h+75$ B. $f(h)=75 h+55$ C. $f(h)=75 h-55$ D. $f(h)=55 h-75$

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Problem 1526

Graph the line given by the equation $y=x-2$ .

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Problem 1527

Can nonadjacent angles share vertex $A$ and arm $A B$ ? If yes, provide an example; if no, explain why.

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Problem 1528

A grocery store sells bananas and oranges. Oranges cost twice as much as bananas. They sold 65 oranges and 88 bananas for a total of \$ 109.
a. Write an equation for the price of a banana, $b$ , and an orange, $g$ .
b. Write an equation for the total sales in dollars: $65g + 88b = 109$ .
c. Find the price of one banana.

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Problem 1529

Find the equation for the road length $L$ after $D$ days if it starts at 47 miles and grows by 1 mile daily. Calculate $L$ after 12 days.

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Problem 1530

Find the equation in slope-intercept form for a line with slope -5 and y-intercept 3.

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Problem 1531

Jay has 10 baseball cards and buys 1 each month. Model the total cards after $n$ months: $C(n) = 10 + n$ .

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Problem 1532

Add how much water to $10 \mathrm{~mL}$ of $9 \%$ alcohol to make it $5 \%$ ? Answer in $\mathrm{mL}$ .

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Problem 1533

Graph the equation $y=2x^{2}-8$ and identify the $x$ -intercepts and $y$ -intercept.

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Problem 1534

Determine the line equation through the point $(-3,1)$ with a slope of $-2$ .

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Problem 1535

Find the equation of the line through $(-3,4)$ with an undefined slope.

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Problem 1536

Find the equation of the line passing through $(-1,-2)$ with a slope of $1$ .

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Problem 1537

Find the equation of the line through $(-5,-5)$ , parallel to $y=\frac{2}{5}x+4$ .

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Problem 1538

Find the equation of the line through $(4,1)$ that is perpendicular to $y=-\frac{4}{3}x+4$ .

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Problem 1539

Find the line equation in point-slope form through points $(-5,1)$ and $(3,1)$ .

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Problem 1540

A blue whale swims 2.5 miles in 5 minutes. Create a graph of distance vs. time. How far does it swim in 1 minute?

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Problem 1541

Help Milynn find the center of the next circle for her inscribed triangle. Consider previous circles, rules, and vertex positions.

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Problem 1542

Berechne die Wassermenge für 2dl Orangensaftkonzentrat, wenn auf 4dl Wasser 8cl Orangensaftkonzentrat kommen.

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Problem 1543

Scrivi l'equazione della retta $r$ che passa per $P(1, 0, -1)$ e è parallela ai piani $x+2y+z+3=0$ e $2x+y-z+1=0$ . $[x-1=-y=z+1]$

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Problem 1544

Ms. Warden wants \$20,000 in 4 years. How much to invest now at 8.5% annual interest, compounded semi-annually?

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Problem 1545

What factors convert $4 \mathrm{~km} / \mathrm{min}$ to meters per hour?

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Problem 1546

Find the equation in point-slope form of a line with slope $m=-3$ through the point $(8,2)$ .

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Problem 1547

Find the point-slope form of the line with slope $m=-3$ through the point $(5,3)$ . $y-[?]=\square(x-\square)$

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Problem 1548

Sharon's car gas tank holds 16.5 gal. How many liters can it hold? Use the conversion $1 \text{ gal} \approx 3.785 \text{ L}$ .

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Problem 1549

Find the equation in point-slope form of a line with slope $m=-5$ through the point $(4,-2)$ .

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Problem 1550

Find the equation of the line in point-slope form using the point $(-5,1)$ with slope $m=2$ . $y-1=2(x-[?])$

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Problem 1551

Rewrite the equation $9 x + 3 y = 12$ in function notation with $x$ as the independent variable.

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Problem 1552

Rewrite the equation $y - 6x - 9 = 0$ in function notation with $x$ as the independent variable.

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Problem 1553

Show three ways to represent the number 4.672 using a place-value chart with digits.

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Problem 1554

Find the perimeter of a rectangle with width $(7 h+3)$ cm and length $(8 h-4)$ cm.

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Problem 1555

Find the perimeter of a rectangle with width $(5 v-2 w)$ cm and length $(6 v+7 w)$ cm.

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Problem 1556

Find an equivalent ratio of apples to bananas given the ratio of 15:60.

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Problem 1557

Find the equation of a line through $(-4,4)$ that is perpendicular to $y=\frac{1}{2}x+2$ .

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Problem 1558

How can you use a scale drawing with scale $s$ to find an actual length $L$ ?

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Problem 1559

Convert $49\%$ to a decimal. How many places does the decimal point move? What is the decimal form?

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Problem 1560

A merchant mixes $x$ kg of tea at \ $72/kg with$ y $kg at \$97/kg for a mixture cost of \$82/kg. Find$ x:y$ and profit from 15 kg of tea P sold at \$120/kg.

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Problem 1561

Разделите отрезок $A B$ на 4 равные части.

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Problem 1562

Given $\log_{10} x = a$ , $\log_{10} y = b$ , $\log_{10} z = c$ , express: (i) $10^{2a-3}$ in terms of $x$ ; (ii) $10^{3b-1}$ in terms of $y$ ; (iii) $P = 10^{2a + \frac{b}{2} - 3c}$ in terms of $x, y, z$ ; (iv) $x y$ if $\log_{10} x = a$ , $\log_{10} y = b$ ; (v) $\frac{a^3}{b^2}$ in terms of $\log_{10} a = m$ , $\log_{10} b = n$ ; (vi) $10^{a}$ in terms of $x$ if $\log_{10} x = 2a$ ; (vii) $10^{2b+1}$ in terms of $y$ ; (viii) $P = 10^{3a - 2b}$ in terms of $x, y$ ; (ix) $72^x$ in terms of $y, z$ if $\log_2 y = x$ , $\log_3 z = x$ ; (x) $100^{2a-1}$ in terms of $x, y$ if $\log_2 x = a$ , $\log_5 y = a$ .

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Problem 1563

Colleen uses blue yarn $b$ and red yarn $r$ . What equation shows their proportional relationship? Options: (A) $b=\frac{2}{5} r$ , (B) $r=\frac{2}{5} b$ , (C) $b=\frac{2}{7} r$ , (D) $r=\frac{2}{7} b$ .

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Problem 1564

A restaurant gives $10\%$ of customers a discount coupon. Which model simulates this? A) Spinner, B) Dice, C) Cards, D) Random numbers?

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Problem 1565

In 2008, 345k girls played soccer and 458k in track. Rate: soccer +8k/yr, track +3k/yr.
a. Write equations for $y$ in terms of $x$ .
b. Show $(22.5, 525)$ is an approximate solution.

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Problem 1566

A train station parking garage has two plans: Plan A: R55 + R21 per day. Plan B costs given for days parked. Find the system of equations for total cost $C$ and days $n$ .

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Problem 1567

Graph the line given by the equation $y + 2 = 2(x + 1)$ . Select points on the graph and submit.

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Problem 1568

Given $m=4$ students, find the normalized feature $x_{2}^{(4)}$ for midterm score $=69$ using $x_{2}=(\text{midterm score})^2$ . Round to two decimal places.

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Problem 1569

Write 563235 in numerical form.

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Problem 1570

Yu Yan's triathlon: swim 0.5 miles in 25 min. Find avg. speed in miles/min and miles/hour. Write distance equations for swim and bike.

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Problem 1571

1) Find the expression for the sequence: -66, -132, -198, -264 with $n=1$ for the first term. $a_n=$
2) Find the expression for the sequence: 7, 14, 21, 28 with $n=1$ for the first term. $a_n=$

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Problem 1572

3) Find the expression for the sequence -65, -64, -63, ... and calculate the $78^{\text{th}}$ term, $a_{78}$ .
4) Write the expression for the sequence 55, 110, ... and determine the $92^{\text{nd}}$ term, $a_{92}$ .

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Problem 1573

A skateboarder slows from $21 \mathrm{~m/s}$ to rest at $-2.5 \mathrm{~m/s}^2$ . Find the stopping distance.

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Problem 1574

A car stops from $32 \mathrm{~m/s}$ with an acceleration of $-5 \mathrm{~m/s}^{2}$ . How far did it travel before stopping?

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Problem 1575

A bicyclist at $14 \mathrm{~m/s}$ accelerates at $2 \mathrm{~m/s^2}$ down a 20 m hill. Find her speed at the bottom.

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Problem 1576

Find the equation of the function when $y=\sin \theta$ is stretched by $\frac{3}{2}$ , reflected in the $y$ axis, and shifted up 3 units.

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Problem 1577

Find the equation of a line with slope $1/3$ that passes through the point $(-4, 8)$ in point-slope form.

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Problem 1578

Graph the line defined by the equation $y + 3 = -2(x - 4)$ .

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Problem 1579

Graph the function $y=\frac{1}{x+2}+2$ .

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Problem 1580

Model $4 + (-9)$ on the number line.

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Problem 1581

Create a system of equations with infinite solutions by graphing a line parallel to $y=-3x-4$ and provide its equation.

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Problem 1582

Create a linear equation that, with $y=\frac{5}{4} x-7$ , forms a system with no solutions.

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Problem 1583

Owen pays \ $20 for membership and \$1 per slice. How much for 18 slices? What’s the cost for$ x$ slices?

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Problem 1584

Camden's starting salary is \ $43000, increasing \$2000 each year. What will his salary be after 7 years and after$ t$ years?

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Problem 1585

Skriv tallene som decimaltal gange en ti'er potens: a) $5.600.000=$ b) $27.000.000=$ c) $0,000005=$ d) $0,0045=$ e) $3.000.000.000=$ f) $0,023=$

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Problem 1586

Find a possible formula for the exponential function described. $f(6)=63, \quad f(65)=18$
Round your answers to four decimal places. $f(x)=a b^{x}$ , where: $a=$ i $b=$ i

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Problem 1587

Javier read $\frac{7}{12}$ of a book on Saturday, and $\frac{4}{12}$ of the same book on Sunday. Which equation shows the fraction of the book that Javier read over the weekend? CLEAR CHECK $\frac{7}{12}+\frac{4}{12}=\frac{11}{12}$ $\frac{7}{12}-\frac{4}{12}=\frac{3}{0}$ $\frac{7}{12}+\frac{4}{12}=\frac{11}{24}$ $\frac{7}{12}-\frac{4}{12}=\frac{3}{12}$

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Problem 1588

Graph the following. 3) $y=\frac{2}{3} x-2$

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Problem 1589

Determine the rule of the exponential function in the form $y=a c^{x}$ that is represented in the table of values below. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\frac{8}{15}$ \\ \hline 0 & $\frac{2}{5}$ \\ \hline 1 & $\frac{3}{10}$ \\ \hline \end{tabular}

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Problem 1590

2 Multiple Choice 1 point
The spread of a virus through a community can be modeled with the logistic equation $\mathrm{P}(\mathrm{t})$ , where $t$ is time in weeks and $\mathrm{P}(\mathrm{t})$ represents the number of people infected with the virus. Suppose that 10 people originally have the virus, and the number of people infected is increasing approximately exponentially, with a continuous growth rate of 1.45 . It is estimated that, in the long run, approximately 4600 people will be infected. What is the logistic equation that could model this data? $P(t)=\frac{10}{\left(1+459 e^{-1.45 t}\right)}$ $P(t)=\frac{4600}{\left(1+1.45 e^{-10 t}\right)}$ $P(t)=\frac{4600}{1+10 e^{-1.45 t}}$ $P(t)=\frac{4600}{\left(1+459 e^{-1.45 t}\right)}$

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Problem 1591

Let $M=\left[\begin{array}{cc} 10 & 10 \\ -5 & -5 \end{array}\right]$
Find formulas for the entries of $M^{n}$ , where $n$ is a positive integer. Submit answer Next item

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Problem 1592

Graph the system below and write its solution. $\begin{array}{l} 2 x+y=-4 \\ y=-\frac{1}{2} x-1 \end{array}$

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Problem 1593

In the triangle, suppose that $m \angle V=(6 x-7)^{\circ}, m \angle W=(5 x-5)^{\circ}$ , and $m \angle X=x^{\circ}$ . (a) Write an equation to find $x$ . Make sure you use an " = " sign in your answer.
Equation: $\square$ $=\square$ (b) Find the degree measure of each angle. $\begin{array}{l} m \angle V=\square^{\circ} \\ m \angle W=\square^{\circ} \\ m \angle X=\square^{\circ} \end{array}$

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Problem 1594

Palt 1 of Points: 0.92 of 1
A simple random sample of size $n=12$ is drawn from a population that is normally distributed. The sample mean is found to be $\bar{x}=25.2$ and the sample standard deviation is found to be $s=6.6$ . Determine if the population mean is different from 28 at the $\alpha=0.10$ level of significance. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. (a) Determine the null and alternative hypotheses. $\mathrm{H}_{0}$ $\square$ $\square$ $\square$ $\mathrm{H}_{1}$ $\square$ $\square$ $\square$ (Type integers or decimals. Do not round.) kample Get more help Clear all Check answer

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Problem 1595

To encode and decode a message, first replace each letter of the alphabet with a positive integer using the followin scheme, thus rewriting the original message as numbers instead of words: \begin{tabular}{|l|l|l|l|l|l|} \hline $\mathrm{A}-1$ & $\mathrm{~F}-6$ & $\mathrm{~K}-11$ & $\mathrm{P}-16$ & $\mathrm{~V}-21$ & $\mathrm{Z}-26$ \\ \hline $\mathrm{~B}-2$ & $\mathrm{G}-7$ & $\mathrm{~L}-12$ & $\mathrm{Q}-17$ & $\mathrm{~V}-22$ & Blank-27 \\ \hline $\mathrm{C}-3$ & $\mathrm{H}-8$ & $\mathrm{M}-13$ & $\mathrm{R}-18$ & $\mathrm{~W}-23$ & \\ \hline $\mathrm{D}-4$ & $\mathrm{I}-9$ & $\mathrm{~N}-14$ & $\mathrm{~S}-19$ & $\mathrm{X}-24$ & \\ \hline $\mathrm{E}-5$ & $\mathrm{~J}-10$ & $\mathrm{O}-15$ & $\mathrm{~T}-20$ & $\mathrm{Y}-25$ & \\ \hline \end{tabular}
ENCODING: A one-to-one function can be used to encode a numerical message. For example, suppose you want to send the message MATH to a friend, and you have decided that the function $f(x)=3 x+4$ will be the encoding function. This function describes the procedure used to create the encoded message - in this case multiply by 3 and add 4. First change the letters to the corresponding numbers as shown above: 131208 Now use these numbers as the input values in $f(x)$ : $\begin{array}{l} f(13)=3(13)+4=43 \\ f(1)=7 \\ f(20)=64 \\ f(8)=28 \end{array}$
So the encoded message that you send to your friend is: 4376428

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Problem 1596

Write an expression for the length of the rectangle. (Hint: Factor the area binomial and recall that Area $=$ width $\cdot$ length.)
The length is $\square$

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Problem 1597

The price p (in dollars) and the quantity $x$ sold of a certain product satisfy the demand equation $x=-7 p+700$ . Answer parts (a) through (g). (a) Find a model that expresses the revenue R as a function of p . (Remember, $\mathrm{R}=\mathrm{xp}$ .) $R(p)=-7 p^{2}+700 p$ (Simplify your answer. Use integers or decimals for any numbers in the expression.) (b) What is the domain of R ? Assume that R is nonnegative. A. The domain is $\{p \mid 0 \leq p \leq 100\}$ . (Simplify your answers. Type integers or decimals.) B. The domain is the set of all real numbers. (c) What price p maximizes revenue? $p=\$$ (Simplify your answer. Type an integer or a decimal.)

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Problem 1598

Write an expression for the sequence of operations described below. raise $h$ to the 2nd power, then divide the result by 10
Do not simplify any part of the expression. $\square$

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Problem 1599

Write an expression for the sequence of operations described below. multiply 8 by $d$ , then triple the result
Do not simplify any part of the expression. $\square$ $\frac{\text { 重 }}{\text { ■ }}$ (听喅

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Problem 1600

Use the midpoint rule with the given value of $n$ to approximate the integral. $\int_{0}^{3} 3 e^{\sqrt{x}} d x, \quad n=6$
Find the width of each subinterval. $\square$ 0.5 - units
Find the midpoints of the subintervals where $x_{1}<x_{2}<\ldots<x_{6}$ . $\begin{array}{l} \bar{x}_{1}=0.25 \\ \bar{x}_{2}=75 \\ \bar{x}_{3}=1.25 \\ \bar{x}_{4}=1.75 \\ \bar{x}_{5}=2.25 \\ \bar{x}_{6}=2.75 \end{array}$
Approximate the integral. Round the answer to four decimal places. $M_{6}=\square \times$ .

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1 ...13 14 15 16 17 18 19 ...42

Model

Problem 1501

How do you use a number line to show the subtraction of two integers, say a−ba - ba−b?

Problem 1502

In a survey of 100 traders selling fruits, find those selling only oranges and mangoes using a Venn diagram.

Problem 1503

Graph the function f(x)=x+5f(x)=x+5f(x)=x+5.

Problem 1504

Graph the function f(x)=x+5f(x)=x+5f(x)=x+5. Identify the points A, B, C, and D on the graph.

Problem 1505

Find point BBB on line segment ACACAC where A(6,−6)A(6,-6)A(6,−6), C(−6,−2)C(-6,-2)C(−6,−2), and AB=34ACAB=\frac{3}{4}ACAB=43​AC.

Problem 1506

There are 5 more girls than boys at a party with 27 kids total. How many boys are there? Express girls in terms of boys.

Problem 1507

What expression equals "2 times (a number + 3)"?

Problem 1508

Find the expression for the area of a triangular attic floor with height nydn \mathrm{yd}nyd and base 6yd6 \mathrm{yd}6yd.

Problem 1509

Find the equation of a line through (3,4)(3,4)(3,4) with slope -2 using point-slope form: y−4=[?](x−[])y-4=[?](x-[])y−4=[?](x−[]).

Problem 1510

There are 2 more horses than cows in a field with 16 animals total. How many horses are there? Use ccc for cows.

Problem 1511

Find the equation in point-slope form for a line through (2,5)(2,5)(2,5) with slope 3: y−[5]=[3](x−[2])y - [5] = [3](x - [2])y−[5]=[3](x−[2]).

Problem 1512

Find the slope-intercept equation of the line through points (−1,10)(-1,10)(−1,10) and (3,2)(3,2)(3,2). y=[?]x+y=[?] x+y=[?]x+

Problem 1513

Make ten to solve 8+98 + 98+9 using a different approach.

Problem 1514

Find the interior angle in terms of the exterior angle xxx given the ratio of interior to exterior angles is 7:17:17:1.

Problem 1515

שרטט את גרף הפונקציה f(x)=2x−∣x−3∣f(x)=2x - |x - 3|f(x)=2x−∣x−3∣.

Problem 1516

Determine the equation of the plane through points A(1,0,0)A(1, 0, 0)A(1,0,0), B(0,−3,1)B(0, -3, 1)B(0,−3,1), and C(2,−2,0)C(2, -2, 0)C(2,−2,0).

Problem 1517

You have \3200toinvestinthreefundswithreturnsof3200 to invest in three funds with returns of 3200toinvestinthreefundswithreturnsof10\%,, ,7\%,and, and ,and5\%$. Invest twice as much in growth as in money market. How to allocate?

Problem 1518

Graph the function defined by f(x)=x+5f(x) = x + 5f(x)=x+5.

Problem 1519

Berechnen Sie den effektiven Jahressatz für Lieferantenkredite mit 1,5\% Skonto in 3 Tagen oder 20 Tage netto.

Problem 1520

Two identical cylinders of radius RRR are melted into three smaller cylinders of radius rrr and height 24 cm24 \mathrm{~cm}24 cm. Given that the base area of the larger cylinder is 9 times that of the smaller one:(a) Express RRR in terms of rrr. (b) Find the height of the larger cylinder.

Problem 1521

A store charges based on items bought. Jane paid \$15 for 4 items, George \$39 for 12. Find the cost for 22 items.

Problem 1522

A hair salon charges a fixed \$25 for a haircut and \$15 for other services. Find the cost function and evaluate for 1 haircut and 3 services.

Problem 1523

A salon charges \$2500 for a haircut and \$15 for each extra service. Find the cost for a haircut and 3 extra services.

Problem 1524

Luke's concrete cost function for xxx sq ft is f(x)=3.5x+95f(x)=3.5x+95f(x)=3.5x+95. Choose the correct option from the given choices.

Problem 1525

Problem 1526

Graph the line given by the equation y=x−2y=x-2y=x−2.

Problem 1527

Can nonadjacent angles share vertex AAA and arm ABA BAB? If yes, provide an example; if no, explain why.

Problem 1528

Problem 1529

Find the equation for the road length LLL after DDD days if it starts at 47 miles and grows by 1 mile daily. Calculate LLL after 12 days.

Problem 1530

Find the equation in slope-intercept form for a line with slope -5 and y-intercept 3.

Problem 1531

Jay has 10 baseball cards and buys 1 each month. Model the total cards after nnn months: C(n)=10+nC(n) = 10 + nC(n)=10+n.

Problem 1532

Add how much water to 10 mL10 \mathrm{~mL}10 mL of 9%9 \%9% alcohol to make it 5%5 \%5%? Answer in mL\mathrm{mL}mL.

Problem 1533

Graph the equation y=2x2−8y=2x^{2}-8y=2x2−8 and identify the xxx-intercepts and yyy-intercept.

Problem 1534

Determine the line equation through the point (−3,1)(-3,1)(−3,1) with a slope of −2-2−2.

Problem 1535

Find the equation of the line through (−3,4)(-3,4)(−3,4) with an undefined slope.

Problem 1536

Find the equation of the line passing through (−1,−2)(-1,-2)(−1,−2) with a slope of 111.

Problem 1537

Find the equation of the line through (−5,−5)(-5,-5)(−5,−5), parallel to y=25x+4y=\frac{2}{5}x+4y=52​x+4.

Problem 1538

Find the equation of the line through (4,1)(4,1)(4,1) that is perpendicular to y=−43x+4y=-\frac{4}{3}x+4y=−34​x+4.

Problem 1539

Find the line equation in point-slope form through points (−5,1)(-5,1)(−5,1) and (3,1)(3,1)(3,1).

Problem 1540

A blue whale swims 2.5 miles in 5 minutes. Create a graph of distance vs. time. How far does it swim in 1 minute?

Problem 1541

How do you use a number line to show the subtraction of two integers, say $a - b$ ?

Graph the function $f(x)=x+5$ .

Graph the function $f(x)=x+5$ . Identify the points A, B, C, and D on the graph.

Find point $B$ on line segment $AC$ where $A(6,-6)$ , $C(-6,-2)$ , and $AB=\frac{3}{4}AC$ .

Find the expression for the area of a triangular attic floor with height $n \mathrm{yd}$ and base $6 \mathrm{yd}$ .

Find the equation of a line through $(3,4)$ with slope -2 using point-slope form: $y-4=[?](x-[])$ .

There are 2 more horses than cows in a field with 16 animals total. How many horses are there? Use $c$ for cows.

Find the equation in point-slope form for a line through $(2,5)$ with slope 3: $y - [5] = [3](x - [2])$ .

Find the slope-intercept equation of the line through points $(-1,10)$ and $(3,2)$ . $y=[?] x+$

Make ten to solve $8 + 9$ using a different approach.

Find the interior angle in terms of the exterior angle $x$ given the ratio of interior to exterior angles is $7:1$ .

שרטט את גרף הפונקציה $f(x)=2x - |x - 3|$ .

Determine the equation of the plane through points $A(1, 0, 0)$ , $B(0, -3, 1)$ , and $C(2, -2, 0)$ .

You have \ $3200 to invest in three funds with returns of$ 10\% $,$ 7\% $, and$ 5\%$. Invest twice as much in growth as in money market. How to allocate?

Graph the function defined by $f(x) = x + 5$ .

Two identical cylinders of radius $R$ are melted into three smaller cylinders of radius $r$ and height $24 \mathrm{~cm}$ . Given that the base area of the larger cylinder is 9 times that of the smaller one:
(a) Express $R$ in terms of $r$ . (b) Find the height of the larger cylinder.

Luke's concrete cost function for $x$ sq ft is $f(x)=3.5x+95$ . Choose the correct option from the given choices.

Graph the line given by the equation $y=x-2$ .

Can nonadjacent angles share vertex $A$ and arm $A B$ ? If yes, provide an example; if no, explain why.

Find the equation for the road length $L$ after $D$ days if it starts at 47 miles and grows by 1 mile daily. Calculate $L$ after 12 days.

Jay has 10 baseball cards and buys 1 each month. Model the total cards after $n$ months: $C(n) = 10 + n$ .

Add how much water to $10 \mathrm{~mL}$ of $9 \%$ alcohol to make it $5 \%$ ? Answer in $\mathrm{mL}$ .

Graph the equation $y=2x^{2}-8$ and identify the $x$ -intercepts and $y$ -intercept.

Determine the line equation through the point $(-3,1)$ with a slope of $-2$ .

Find the equation of the line through $(-3,4)$ with an undefined slope.

Find the equation of the line passing through $(-1,-2)$ with a slope of $1$ .

Find the equation of the line through $(-5,-5)$ , parallel to $y=\frac{2}{5}x+4$ .

Find the equation of the line through $(4,1)$ that is perpendicular to $y=-\frac{4}{3}x+4$ .

Find the line equation in point-slope form through points $(-5,1)$ and $(3,1)$ .

Scrivi l'equazione della retta $r$ che passa per $P(1, 0, -1)$ e è parallela ai piani $x+2y+z+3=0$ e $2x+y-z+1=0$ . $[x-1=-y=z+1]$

What factors convert $4 \mathrm{~km} / \mathrm{min}$ to meters per hour?

Find the equation in point-slope form of a line with slope $m=-3$ through the point $(8,2)$ .

Find the point-slope form of the line with slope $m=-3$ through the point $(5,3)$ . $y-[?]=\square(x-\square)$

Sharon's car gas tank holds 16.5 gal. How many liters can it hold? Use the conversion $1 \text{ gal} \approx 3.785 \text{ L}$ .

Find the equation in point-slope form of a line with slope $m=-5$ through the point $(4,-2)$ .

Find the equation of the line in point-slope form using the point $(-5,1)$ with slope $m=2$ . $y-1=2(x-[?])$

Rewrite the equation $9 x + 3 y = 12$ in function notation with $x$ as the independent variable.

Rewrite the equation $y - 6x - 9 = 0$ in function notation with $x$ as the independent variable.

Find the perimeter of a rectangle with width $(7 h+3)$ cm and length $(8 h-4)$ cm.

Find the perimeter of a rectangle with width $(5 v-2 w)$ cm and length $(6 v+7 w)$ cm.

Find the equation of a line through $(-4,4)$ that is perpendicular to $y=\frac{1}{2}x+2$ .

How can you use a scale drawing with scale $s$ to find an actual length $L$ ?

Convert $49\%$ to a decimal. How many places does the decimal point move? What is the decimal form?

A merchant mixes $x$ kg of tea at \ $72/kg with$ y $kg at \$97/kg for a mixture cost of \$82/kg. Find$ x:y$ and profit from 15 kg of tea P sold at \$120/kg.

Разделите отрезок $A B$ на 4 равные части.

Colleen uses blue yarn $b$ and red yarn $r$ . What equation shows their proportional relationship? Options: (A) $b=\frac{2}{5} r$ , (B) $r=\frac{2}{5} b$ , (C) $b=\frac{2}{7} r$ , (D) $r=\frac{2}{7} b$ .

A restaurant gives $10\%$ of customers a discount coupon. Which model simulates this? A) Spinner, B) Dice, C) Cards, D) Random numbers?

In 2008, 345k girls played soccer and 458k in track. Rate: soccer +8k/yr, track +3k/yr.
a. Write equations for $y$ in terms of $x$ .
b. Show $(22.5, 525)$ is an approximate solution.

A train station parking garage has two plans: Plan A: R55 + R21 per day. Plan B costs given for days parked. Find the system of equations for total cost $C$ and days $n$ .

Graph the line given by the equation $y + 2 = 2(x + 1)$ . Select points on the graph and submit.

Given $m=4$ students, find the normalized feature $x_{2}^{(4)}$ for midterm score $=69$ using $x_{2}=(\text{midterm score})^2$ . Round to two decimal places.

1) Find the expression for the sequence: -66, -132, -198, -264 with $n=1$ for the first term. $a_n=$
2) Find the expression for the sequence: 7, 14, 21, 28 with $n=1$ for the first term. $a_n=$

3) Find the expression for the sequence -65, -64, -63, ... and calculate the $78^{\text{th}}$ term, $a_{78}$ .
4) Write the expression for the sequence 55, 110, ... and determine the $92^{\text{nd}}$ term, $a_{92}$ .

A skateboarder slows from $21 \mathrm{~m/s}$ to rest at $-2.5 \mathrm{~m/s}^2$ . Find the stopping distance.

A car stops from $32 \mathrm{~m/s}$ with an acceleration of $-5 \mathrm{~m/s}^{2}$ . How far did it travel before stopping?