Math

Problem 40201

Identify functions with a range of $\{y \in \mathbb{R} \mid-\infty<y<\infty\}$ :
1. $f(x)=\frac{2}{3} x-8$
2. $f(x)=x^{2}+7 x-9$
3. $f(x)=-4 x+11$
4. $f(x)=-(x+1)^{2}-4$
5. $f(x)=2^{x+3}$

See Solution

Problem 40202

Factor the polynomial $4 m^{3}-9 m^{2}-m+25$ .

See Solution

Problem 40203

A volleyball player sets a ball up. Height $h(t) = -16t^2 + 20t + 6$ . What is the max height at $t = 0.625$ seconds? A. 8.5 B. 11.625 C. 1225 D. 1.625

See Solution

Problem 40204

Simplify the expression: $(2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n)$ .

See Solution

Problem 40205

Calculate $h(12)$ for the function $h(x) = 0.25x - 13$ .

See Solution

Problem 40206

Find the limit of the fish length model $L(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}$ as $t \to \infty$ .

See Solution

Problem 40207

Find $f(g(h(3)))$ for $f(x)=-2 x^{3}$ , $g(x)=3 x-5$ , and $h(x)=x-1$ . Options: $-129$ , $-54$ , $-53$ , $-2$ .

See Solution

Problem 40208

Find Letisha's total in checking, savings, and college accounts after 12 months if she deposits \$125, \$75, and \$50 monthly.

See Solution

Problem 40209

Calculate the total ticket cost for 23 students and 2 teachers at \$39 each. Find the expression and the total cost.

See Solution

Problem 40210

Find the zeros of the function $f(x)=2x^{2}+6x+1$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 40211

Calculate the expression $(3+8) \cdot 15$ .

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Problem 40212

Find the zeros of the function $f(x)=4x^{2}+6x+1$ using the quadratic formula. What are the $x$ -intercepts?

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Problem 40213

Rewrite $2(x+4)$ using the distributive property and simplify the expression.

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Problem 40214

West Elementary has 438 students and 22 teachers. East has 697 students and 27 teachers. Find students per teacher for both schools.

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Problem 40215

Calculate $(5+n)^{3}$ .

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Problem 40216

An adult needs $261 \mathrm{mL}$ of oxygen/min. With 20% inhaled O2, find air volume per breath at 12 breaths/min.

See Solution

Problem 40217

Find the zeros of the function $f(x)=3x^{2}+10x+6$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 40218

Simplify $(5+n) 3$ using distribution.

See Solution

Problem 40219

Multiply 9 by $-\frac{7}{3}$ and simplify your answer.

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Problem 40220

Un cohete "Pioneer" alcanzó $125.000 \mathrm{~km}$ . ¿Cuál es su velocidad al regresar a la atmósfera a $130 \mathrm{~km}$ ?

See Solution

Problem 40221

Simplify $w^{4} \cdot w^{2}$ .

See Solution

Problem 40222

Solve the inequality $1.5a > 12 + 3a$ for the variable $a$ .

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Problem 40223

How does the mass of an object on Neptune compare to its mass on Earth if Neptune's gravity is 1.1 times that of Earth? A, B, C, or D?

See Solution

Problem 40224

Simplify the expression: $-10 x^{2}+5 x-8 x^{2}+2$ .

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Problem 40225

Solve for $u$ : $8u - 32 = -2(u - 4)$ . Simplify your answer.

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Problem 40226

Find the zeros of the function $g(x)=5x^{2}+14x+8$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 40227

Solve for $y$ : $3(y-2)=6y+24$ . Simplify your answer.

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Problem 40228

Check Guy's calculation: Is $8,265 - 7,145$ equal to $1,010$ ? Identify his mistake in the steps shown.

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Problem 40229

Demostrar que la serie $\sum_{n=1}^{\infty}(\operatorname{sen} n x) / n^{2}$ converge para todo $x$ , y que $f(x)$ es continua en $[0, \pi]$ . Luego, probar que $\int_{0}^{\pi} f(x) d x=2 \sum_{n=1}^{\infty} \frac{1}{(2 n-1)^{3}}$ .

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Problem 40230

Simplify: $3 x^{2} - 7 - 9 x^{2} + 11 + 5 x$ .

See Solution

Problem 40231

Determina el dominio de la función $f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}$ .

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Problem 40232

Find the zeros of the function $g(x)=4 x^{2}+9 x+5$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 40233

Graph the line represented by the equation $5x + 2y = 8$ .

See Solution

Problem 40234

Choose two properties of a leaf that affect its fall due to air resistance: mass, surface area, gravity, or initial distance?

See Solution

Problem 40235

Find the zeros of the function $g(x)=3x^{2}+5x+2$ using the quadratic formula. What are the zeros?

See Solution

Problem 40236

Encuentra las nuevas coordenadas del punto $P(4, -3)$ tras aplicar la transformación $g(x)=3-f(x+4)$ .

See Solution

Problem 40237

Determine the zeros of the function $f(x)=2x^{2}+10x+11$ and identify the $x$ -intercepts. Choose A, B, or C.

See Solution

Problem 40238

Calcula $a+b$ en el modelo de Jenss: $y=78+a x-e^{b-x}$ , sabiendo que $y(0)=55$ y $y(4)=103$ . Redondea a dos decimales.

See Solution

Problem 40239

Encuentra la temperatura máxima de la función $T(x) = -x^{2} + 10x - 2$ para el cultivo de bacterias.

See Solution

Problem 40240

Solve the equation: $2(2t + 4) = \frac{3}{4}(24 - 8t)$ .

See Solution

Problem 40241

Find the equation of the line through points $(r,-5)$ and $(3,13)$ with a slope of $m=8$ .

See Solution

Problem 40242

Find $r$ for the point $(-2, r)$ on the line with slope $m=-4$ passing through $(12,10)$ .

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Problem 40243

Graph the system of equations for Melinda's coffee and pastry sales: $x = y + 2$ and $6x + 4y = 72$ . Mark the solution.

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Problem 40244

Calculate students per teacher for West (438 students, 22 teachers) and East (697 students, 27 teachers). Discuss proportionality.

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Problem 40245

Identify and fix the mistake in this equation: $6(2y+6)=4(9+3y)$ leading to $0=0$ . What is the correct conclusion?

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Problem 40246

Each kitten's weight after gaining 2.3 ounces: initial weights were 3.6, 4.2, and 3.3 ounces. Find final weights.

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Problem 40247

Find $x$ if $BD=7x-10$ , $BC=4x-29$ , and $CD=5x-9$ .

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Problem 40248

Is Jaime's calculation of $4.4 - 0.33 = 1.1$ reasonable? Explain your reasoning.

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Problem 40249

Order the numbers from smallest to largest: $|-32|$ , $22$ , $-16$ , $-|21|$ , $|-10|$ .

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Problem 40250

For a prime number $w > 2$ , when is $w^{2} z$ a negative even integer for $z$ in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers

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Problem 40251

Identify the false statement:
1. All integers are rational numbers
2. Some rational numbers are whole numbers
3. All whole numbers are natural numbers
4. All irrational numbers are real numbers

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Problem 40252

Find the number of real solutions for the equations: $y=-2x+8$ and $y=x^2+3x-4$ . Options: A. 0 B. 1 C. 2 D. 3 E. Infinitely many.

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Problem 40253

Calculate the product of 2.01 and 0.43: $2.01 \times 0.43$ .

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Problem 40254

Solve for $x$ in the equation $\frac{9 x}{8} + \frac{x - 5}{16} = 0$ .

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Problem 40255

Evaluate $h - 4g$ for $g=3$ and $h=49$ .

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Problem 40256

Find the area of a triangle with base $4 \mathrm{ft}$ and height $3 \mathrm{ft}$ using $A = \frac{1}{2} b h$ . What if height doubles?

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Problem 40257

Identify a rational number between 7 and 8 from these options: $7 . \overline{83}$ , $\sqrt{52}$ , neither A and C, both A and C.

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Problem 40258

Compare the numbers using $\langle$ , $\rangle , or =$ : -7, -6, -3, 11, -4, -12.

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Problem 40259

Which set has no irrational numbers? $\{-5.15, \pi, 30\}$ , $\left\{\frac{9}{2}, \sqrt{100}, 5.123\right\}$ , or $\{\sqrt{80}, 100, 6.56\}$ ?

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Problem 40260

Write a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: $5.25 \times 10^{3}$ , Blaire: $6.1 \times 10^{3}$ , Denzet: $5.78 \times 10^{2}$ , Piper: $3.5 \times 10$ .

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Problem 40261

Find the difference between -4 and 6. Options: $-10$ , $-2$ , 2, 10.

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Problem 40262

The combined cost of a washer and dryer is \$ 944, with the washer costing \$ 94 more than the dryer. Find the dryer cost.

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Problem 40263

A total of 267 tickets were sold, with student tickets being twice the adult tickets. Find the number of adult tickets sold.

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Problem 40264

Find the coordinates of point $B$ if the midpoint $M(2,4)$ and point $A(-1,5)$ are given.

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Problem 40265

How much flour is needed for 20 servings if 4 servings require $\frac{2}{3}$ cup? Options: 6, $3 \frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{15}$ .

See Solution

Problem 40266

Gabrielle is 10 years older than Mikhail. Their ages sum to 72. Find Mikhail's age: $M + (M + 10) = 72$ .

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Problem 40267

A basketball player jumps to $1.1 \mathrm{~m}$ . What is his hang time in the air before landing?

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Problem 40268

Which expression equals $22 + (-32)$ ? $22 + (-22) + (-10)$ , $22 + 22 + (-10)$ , $22 + (-22) + 10$ , or $22 + 0 + 32$ ?

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Problem 40269

Find three consecutive integers whose sum is 51. Let the integers be $n$ , $n+1$ , and $n+2$ .

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Problem 40270

Find the percent of the sum of the two least box tops collected compared to the two most: Rooms 100, 159, 206, 215.

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Problem 40271

Calculate the distance between the points $(-8,5)$ and $(-3,-1)$ .

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Problem 40272

Jessica deposits \ $7000 at 6% simple interest. How much interest will she earn in 3 years? Calculate$ x$.

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Problem 40273

Find two consecutive even integers whose sum is 38.

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Problem 40274

Calculate the value of $\sin 45^{\circ} + \cos 50^{\circ}$ without a calculator.

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Problem 40275

Find two numbers to round 518 to the nearest 10 and show where 518 is on the number line.

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Problem 40276

Translate into an equation: 7 plus 4 times $b$ equals 3.

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Problem 40277

Find the volume of a beach ball with a radius of 30 cm. Use $\pi$ or 3.14 for your answer in $\mathrm{cm}^{3}$ .

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Problem 40278

Round 518 to the nearest ten. Identify the two benchmark thousands for 1,742 and place them on a number line with 1,742.

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Problem 40279

Translate: 2 times (w - 7) = 2.

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Problem 40280

Solve for $b$ in the trapezoid area formula $A = \frac{1}{2} h(a+b)$ , where $A$ is area, $h$ is height, $a,b$ are sides.

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Problem 40281

Hong deposits \ $200 at 5% simple interest. How much interest will he earn in 5 years?$ 200 \times 0.05 \times 5$

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Problem 40282

Calculate the interest and total amount paid on a \ $10,550 loan at 12.25\% for 3 years using$ I=Prt$. Round to the nearest dollar.

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Problem 40283

Find the percent of the sum of the lowest two box tops collected compared to the highest two. Rooms: 600, 1000, 300, 800. Options: (A) 30%, (B) 50%, (C) 65%, (D) 70%, (E) 80%.

See Solution

Problem 40284

Deshaun deposits \ $4000 at 3% simple interest. What interest will he earn in 2 years?$ I = P \times r \times t$

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Problem 40285

Given the car's velocity at times $0-8$ seconds: $10,15,20,25,30,30,30,15,0$ .
1. Direction from $0-4$ seconds?
2. Direction from $4-6$ seconds?
3. Direction from $6-8$ seconds?
4. Acceleration from $4-6$ seconds?

See Solution

Problem 40286

Identify the two thousand benchmarks around 1,742 and place them on a number line with 1,742.

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Problem 40287

Factor completely: $7x^{2} + 35x + 42 =$

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Problem 40288

Analyze the scatter plot of calories vs. fat in chicken sandwiches. What association is indicated by increasing grams and calories?

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Problem 40289

Plot points D(-3,-3), E(4,-3), F(9,5), G(2,5) for parallelogram DEFG. Find the perimeter and round to the nearest tenth.

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Problem 40290

Find three numbers where their sum is 86, the second is 9 less than the first, and the third is 3 times the first.

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Problem 40291

Plot points U(-1,9), V(-1,5), W(8,9) and find the triangle's perimeter. Round to the nearest tenth if needed.

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Problem 40292

Leila, Juan, and Chris have $\$ 94$ total. Chris has 4 times Leila's amount, and Juan has $\$ 8$ less than Leila. Find their amounts.

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Problem 40293

The concert venue's attendance drops with snow. Analyze data, find the regression line, and predict attendance at 9.1 inches.
(a) Is a linear model suitable? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance with 9.1 inches of snow (nearest integer).

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Problem 40294

Find the slope of the line connecting the points (1,0) and (3,8). Choose the correct answer: (A) $-\frac{1}{4}$ , (B) -4, (C) 4, (D) $\frac{1}{4}$ .

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Problem 40295

Solve for the sum: $+(-3)+(-2)=2$ . What is the result?

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Problem 40296

Diane, Frank, and John served 102 orders total. If Diane served 10 more than Frank and John served 2 times Frank, find their orders.

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Problem 40297

Identify the benchmark ten thousands for 821,059 and place them on a number line with 821,059.

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Problem 40298

Jenny works 15 hours a week, earns \$10/hour, and bakes 200 cupcakes daily. How much will she earn in 2 weeks?

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Problem 40299

Given a car's velocity vs. time graph:
Time (s): 0, 1, 2, 3, 4, 5, 6, 7, 8 Velocity (m/s): 0, -10, -20, -30, -40, -40, -40, -20, 0
1. Direction from $0-4$ seconds?
2. Direction from $6-8$ seconds?
3. Acceleration from $6-8$ seconds?
4. Displacement from $4-6$ seconds?
5. Describe a scenario for this car's motion.

See Solution

Problem 40300

Calculate the value of $\frac{1}{4} \times 4$ .

See Solution

1 ...400 401 402 403 404 405 406 ...662

Math

Problem 40201

Problem 40202

Factor the polynomial 4m3−9m2−m+254 m^{3}-9 m^{2}-m+254m3−9m2−m+25.

Problem 40203

A volleyball player sets a ball up. Height h(t)=−16t2+20t+6h(t) = -16t^2 + 20t + 6h(t)=−16t2+20t+6. What is the max height at t=0.625t = 0.625t=0.625 seconds? A. 8.5 B. 11.625 C. 1225 D. 1.625

Problem 40204

Simplify the expression: (2m2n−5n3+4m4n2)−(7n3+8m4n2−7m2n) (2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n) (2m2n−5n3+4m4n2)−(7n3+8m4n2−7m2n).

Problem 40205

Calculate h(12)h(12)h(12) for the function h(x)=0.25x−13h(x) = 0.25x - 13h(x)=0.25x−13.

Problem 40206

Find the limit of the fish length model L(t)=LT−(LT−L0)e−ktL(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}L(t)=LT​−(LT​−L0​)e−kt as t→∞t \to \inftyt→∞.

Problem 40207

Find f(g(h(3)))f(g(h(3)))f(g(h(3))) for f(x)=−2x3f(x)=-2 x^{3}f(x)=−2x3, g(x)=3x−5g(x)=3 x-5g(x)=3x−5, and h(x)=x−1h(x)=x-1h(x)=x−1. Options: −129-129−129, −54-54−54, −53-53−53, −2-2−2.

Problem 40208

Find Letisha's total in checking, savings, and college accounts after 12 months if she deposits \$125, \$75, and \$50 monthly.

Problem 40209

Calculate the total ticket cost for 23 students and 2 teachers at \$39 each. Find the expression and the total cost.

Problem 40210

Find the zeros of the function f(x)=2x2+6x+1f(x)=2x^{2}+6x+1f(x)=2x2+6x+1 using the quadratic formula. What are the x-intercepts?

Problem 40211

Calculate the expression (3+8)⋅15(3+8) \cdot 15(3+8)⋅15.

Problem 40212

Find the zeros of the function f(x)=4x2+6x+1f(x)=4x^{2}+6x+1f(x)=4x2+6x+1 using the quadratic formula. What are the xxx-intercepts?

Problem 40213

Rewrite 2(x+4)2(x+4)2(x+4) using the distributive property and simplify the expression.

Problem 40214

West Elementary has 438 students and 22 teachers. East has 697 students and 27 teachers. Find students per teacher for both schools.

Problem 40215

Calculate (5+n)3(5+n)^{3}(5+n)3.

Problem 40216

An adult needs 261mL261 \mathrm{mL}261mL of oxygen/min. With 20% inhaled O2, find air volume per breath at 12 breaths/min.

Problem 40217

Find the zeros of the function f(x)=3x2+10x+6f(x)=3x^{2}+10x+6f(x)=3x2+10x+6 using the quadratic formula. What are the x-intercepts?

Problem 40218

Simplify (5+n)3(5+n) 3(5+n)3 using distribution.

Problem 40219

Multiply 9 by −73-\frac{7}{3}−37​ and simplify your answer.

Problem 40220

Un cohete "Pioneer" alcanzó 125.000 km125.000 \mathrm{~km}125.000 km. ¿Cuál es su velocidad al regresar a la atmósfera a 130 km130 \mathrm{~km}130 km?

Problem 40221

Simplify w4⋅w2w^{4} \cdot w^{2}w4⋅w2.

Problem 40222

Solve the inequality 1.5a>12+3a1.5a > 12 + 3a1.5a>12+3a for the variable aaa.

Problem 40223

How does the mass of an object on Neptune compare to its mass on Earth if Neptune's gravity is 1.1 times that of Earth? A, B, C, or D?

Problem 40224

Simplify the expression: −10x2+5x−8x2+2-10 x^{2}+5 x-8 x^{2}+2−10x2+5x−8x2+2.

Problem 40225

Solve for uuu: 8u−32=−2(u−4)8u - 32 = -2(u - 4)8u−32=−2(u−4). Simplify your answer.

Problem 40226

Find the zeros of the function g(x)=5x2+14x+8g(x)=5x^{2}+14x+8g(x)=5x2+14x+8 using the quadratic formula. What are the x-intercepts?

Problem 40227

Solve for yyy: 3(y−2)=6y+243(y-2)=6y+243(y−2)=6y+24. Simplify your answer.

Problem 40228

Check Guy's calculation: Is 8,265−7,1458,265 - 7,1458,265−7,145 equal to 1,0101,0101,010? Identify his mistake in the steps shown.

Problem 40229

Problem 40230

Simplify: 3x2−7−9x2+11+5x3 x^{2} - 7 - 9 x^{2} + 11 + 5 x3x2−7−9x2+11+5x.

Problem 40231

Determina el dominio de la función f(x)=x2−20x+6−x−4x2−49f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}f(x)=x+6​x2−20​−x2−49x−4​.

Problem 40232

Find the zeros of the function g(x)=4x2+9x+5g(x)=4 x^{2}+9 x+5g(x)=4x2+9x+5 using the quadratic formula. What are the x-intercepts?

Problem 40233

Graph the line represented by the equation 5x+2y=85x + 2y = 85x+2y=8.

Problem 40234

Choose two properties of a leaf that affect its fall due to air resistance: mass, surface area, gravity, or initial distance?

Problem 40235

Find the zeros of the function g(x)=3x2+5x+2g(x)=3x^{2}+5x+2g(x)=3x2+5x+2 using the quadratic formula. What are the zeros?

Problem 40236

Encuentra las nuevas coordenadas del punto P(4,−3)P(4, -3)P(4,−3) tras aplicar la transformación g(x)=3−f(x+4)g(x)=3-f(x+4)g(x)=3−f(x+4).

Problem 40237

Determine the zeros of the function f(x)=2x2+10x+11f(x)=2x^{2}+10x+11f(x)=2x2+10x+11 and identify the xxx-intercepts. Choose A, B, or C.

Problem 40238

Calcula a+ba+ba+b en el modelo de Jenss: y=78+ax−eb−xy=78+a x-e^{b-x}y=78+ax−eb−x, sabiendo que y(0)=55y(0)=55y(0)=55 y y(4)=103y(4)=103y(4)=103. Redondea a dos decimales.

Problem 40239

Encuentra la temperatura máxima de la función T(x)=−x2+10x−2T(x) = -x^{2} + 10x - 2T(x)=−x2+10x−2 para el cultivo de bacterias.

Problem 40240

Solve the equation: 2(2t+4)=34(24−8t)2(2t + 4) = \frac{3}{4}(24 - 8t)2(2t+4)=43​(24−8t).

Problem 40241

Factor the polynomial $4 m^{3}-9 m^{2}-m+25$ .

A volleyball player sets a ball up. Height $h(t) = -16t^2 + 20t + 6$ . What is the max height at $t = 0.625$ seconds? A. 8.5 B. 11.625 C. 1225 D. 1.625

Simplify the expression: $(2 m^{2} n - 5 n^{3} + 4 m^{4} n^{2}) - (7 n^{3} + 8 m^{4} n^{2} - 7 m^{2} n)$ .

Calculate $h(12)$ for the function $h(x) = 0.25x - 13$ .

Find the limit of the fish length model $L(t)=L_{T}-\left(L_{T}-L_{0}\right) e^{-k t}$ as $t \to \infty$ .

Find $f(g(h(3)))$ for $f(x)=-2 x^{3}$ , $g(x)=3 x-5$ , and $h(x)=x-1$ . Options: $-129$ , $-54$ , $-53$ , $-2$ .

Find the zeros of the function $f(x)=2x^{2}+6x+1$ using the quadratic formula. What are the x-intercepts?

Calculate the expression $(3+8) \cdot 15$ .

Find the zeros of the function $f(x)=4x^{2}+6x+1$ using the quadratic formula. What are the $x$ -intercepts?

Rewrite $2(x+4)$ using the distributive property and simplify the expression.

Calculate $(5+n)^{3}$ .

An adult needs $261 \mathrm{mL}$ of oxygen/min. With 20% inhaled O2, find air volume per breath at 12 breaths/min.

Find the zeros of the function $f(x)=3x^{2}+10x+6$ using the quadratic formula. What are the x-intercepts?

Simplify $(5+n) 3$ using distribution.

Multiply 9 by $-\frac{7}{3}$ and simplify your answer.

Un cohete "Pioneer" alcanzó $125.000 \mathrm{~km}$ . ¿Cuál es su velocidad al regresar a la atmósfera a $130 \mathrm{~km}$ ?

Simplify $w^{4} \cdot w^{2}$ .

Solve the inequality $1.5a > 12 + 3a$ for the variable $a$ .

Simplify the expression: $-10 x^{2}+5 x-8 x^{2}+2$ .

Solve for $u$ : $8u - 32 = -2(u - 4)$ . Simplify your answer.

Find the zeros of the function $g(x)=5x^{2}+14x+8$ using the quadratic formula. What are the x-intercepts?

Solve for $y$ : $3(y-2)=6y+24$ . Simplify your answer.

Check Guy's calculation: Is $8,265 - 7,145$ equal to $1,010$ ? Identify his mistake in the steps shown.

Simplify: $3 x^{2} - 7 - 9 x^{2} + 11 + 5 x$ .

Determina el dominio de la función $f(x)=\frac{x^{2}-20}{\sqrt{x+6}}-\frac{x-4}{x^{2}-49}$ .

Find the zeros of the function $g(x)=4 x^{2}+9 x+5$ using the quadratic formula. What are the x-intercepts?

Graph the line represented by the equation $5x + 2y = 8$ .

Find the zeros of the function $g(x)=3x^{2}+5x+2$ using the quadratic formula. What are the zeros?

Encuentra las nuevas coordenadas del punto $P(4, -3)$ tras aplicar la transformación $g(x)=3-f(x+4)$ .

Determine the zeros of the function $f(x)=2x^{2}+10x+11$ and identify the $x$ -intercepts. Choose A, B, or C.

Calcula $a+b$ en el modelo de Jenss: $y=78+a x-e^{b-x}$ , sabiendo que $y(0)=55$ y $y(4)=103$ . Redondea a dos decimales.

Encuentra la temperatura máxima de la función $T(x) = -x^{2} + 10x - 2$ para el cultivo de bacterias.

Solve the equation: $2(2t + 4) = \frac{3}{4}(24 - 8t)$ .

Find the equation of the line through points $(r,-5)$ and $(3,13)$ with a slope of $m=8$ .

Find $r$ for the point $(-2, r)$ on the line with slope $m=-4$ passing through $(12,10)$ .

Graph the system of equations for Melinda's coffee and pastry sales: $x = y + 2$ and $6x + 4y = 72$ . Mark the solution.

Identify and fix the mistake in this equation: $6(2y+6)=4(9+3y)$ leading to $0=0$ . What is the correct conclusion?

Find $x$ if $BD=7x-10$ , $BC=4x-29$ , and $CD=5x-9$ .

Is Jaime's calculation of $4.4 - 0.33 = 1.1$ reasonable? Explain your reasoning.

Order the numbers from smallest to largest: $|-32|$ , $22$ , $-16$ , $-|21|$ , $|-10|$ .

For a prime number $w > 2$ , when is $w^{2} z$ a negative even integer for $z$ in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers

Identify the false statement:
1. All integers are rational numbers
2. Some rational numbers are whole numbers
3. All whole numbers are natural numbers
4. All irrational numbers are real numbers

Find the number of real solutions for the equations: $y=-2x+8$ and $y=x^2+3x-4$ . Options: A. 0 B. 1 C. 2 D. 3 E. Infinitely many.

Calculate the product of 2.01 and 0.43: $2.01 \times 0.43$ .

Solve for $x$ in the equation $\frac{9 x}{8} + \frac{x - 5}{16} = 0$ .

Evaluate $h - 4g$ for $g=3$ and $h=49$ .

Find the area of a triangle with base $4 \mathrm{ft}$ and height $3 \mathrm{ft}$ using $A = \frac{1}{2} b h$ . What if height doubles?

Identify a rational number between 7 and 8 from these options: $7 . \overline{83}$ , $\sqrt{52}$ , neither A and C, both A and C.

Compare the numbers using $\langle$ , $\rangle , or =$ : -7, -6, -3, 11, -4, -12.

Which set has no irrational numbers? $\{-5.15, \pi, 30\}$ , $\left\{\frac{9}{2}, \sqrt{100}, 5.123\right\}$ , or $\{\sqrt{80}, 100, 6.56\}$ ?

Write a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: $5.25 \times 10^{3}$ , Blaire: $6.1 \times 10^{3}$ , Denzet: $5.78 \times 10^{2}$ , Piper: $3.5 \times 10$ .

Find the difference between -4 and 6. Options: $-10$ , $-2$ , 2, 10.

Find the coordinates of point $B$ if the midpoint $M(2,4)$ and point $A(-1,5)$ are given.

How much flour is needed for 20 servings if 4 servings require $\frac{2}{3}$ cup? Options: 6, $3 \frac{1}{3}$ , $\frac{2}{3}$ , $\frac{2}{15}$ .

Gabrielle is 10 years older than Mikhail. Their ages sum to 72. Find Mikhail's age: $M + (M + 10) = 72$ .

A basketball player jumps to $1.1 \mathrm{~m}$ . What is his hang time in the air before landing?

Which expression equals $22 + (-32)$ ? $22 + (-22) + (-10)$ , $22 + 22 + (-10)$ , $22 + (-22) + 10$ , or $22 + 0 + 32$ ?

Find three consecutive integers whose sum is 51. Let the integers be $n$ , $n+1$ , and $n+2$ .

Calculate the distance between the points $(-8,5)$ and $(-3,-1)$ .

Jessica deposits \ $7000 at 6% simple interest. How much interest will she earn in 3 years? Calculate$ x$.

Calculate the value of $\sin 45^{\circ} + \cos 50^{\circ}$ without a calculator.