Math

Problem 39901

Calculate the product: $\frac{5}{7} \cdot \frac{14}{15} \cdot \frac{30}{20}$ .

See Solution

Problem 39902

Calculate the product of $s(x)=\frac{x-3}{x^{2}-36}$ and $t(x)=\frac{x-6}{3-x}$ , and state its domain in interval notation.

See Solution

Problem 39903

Solve the equation: $3(2x + 2) + x + 5 = -10$ .

See Solution

Problem 39904

Multiply 16, 3, and 29, then subtract 17 from the result. What is the final answer?

See Solution

Problem 39905

Calculate: $\frac{1}{2} \times 9=$

See Solution

Problem 39906

Solve the equation: $\frac{5}{4} x + 5(-x + 1) - 7 = -\left(\frac{5}{2} x - \frac{5}{2}\right)$

See Solution

Problem 39907

Find $(f \circ g)(x)$ and its domain. Given $f(x)=\frac{x}{x-1}$ and $g(x)=\frac{13}{x^{2}-36}$ .

See Solution

Problem 39908

Calculate $11 \times \frac{1}{12}$ .

See Solution

Problem 39909

Solve these two problems: 1. $9.002 - 3 = ?$ 2. $400.06 - 0.03 = ?$

See Solution

Problem 39910

9.002 - 3 = 1.001

See Solution

Problem 39911

Determine the equation of the line through points $(1,-3)$ and $(5,-3)$ .

See Solution

Problem 39912

Calculate: $\frac{1}{5} \times 5=$

See Solution

Problem 39913

Calculate $10 \times \frac{2}{3}$ .

See Solution

Problem 39914

Find $(f \circ g)(x)$ and its domain in interval notation, where $f(x)=\frac{x}{x-1}$ and $g(x)=\frac{13}{x^{2}-36}$ .

See Solution

Problem 39915

Calculate: $5 \times \frac{5}{6}=$

See Solution

Problem 39916

Multiply 71 by 8, then add 379. What is the result?

See Solution

Problem 39917

Calculate $(13.2 + 0.9) \div 0.6$ .

See Solution

Problem 39918

Serenity pays \ $36 monthly plus \$4 per GB. Find$ x $(GB) if her total bill is \$51.60. Solve the equation:$ 36 + 4x = 51.60$.

See Solution

Problem 39919

Subtract the following: 9 tenths - 3 tenths = tenths 9 ones 2 thousandths - 3 ones = ones thousandths 4 hundreds 6 hundredths - 3 hundredths = hundreds hundredths hundredths

See Solution

Problem 39920

Calculate $41.84 - 0.9$ .

See Solution

Problem 39921

Solve using the standard algorithm: $1.8 - 0.9 =$

See Solution

Problem 39922

Calculate $5.182 - 0.09$ .

See Solution

Problem 39923

Calculate $341.84 - 21.92$ .

See Solution

Problem 39924

Estimate the mean survival time (in months) for 21 multiple myeloma patients treated with Thalidomide using the given frequency data.

See Solution

Problem 39925

Solve the system: $2x + 3y = 1240$ and $x = 2y - 10$ . Find food and ride tickets sold.

See Solution

Problem 39926

A tree company's delivery fee varies with the number of trees. Why is the cost function nonlinear? Consider the rates of change.

See Solution

Problem 39927

Evaluate the expression $6^{2}+10 \div(-5)(3)-5$ using order of operations. What to do first?

See Solution

Problem 39928

Alejandro studied for 5 more minutes each day for 6 days. What is the change in study time from day 1 to day 6? -30 minutes -11 minutes 11 minutes 30 minutes

See Solution

Problem 39929

Find the equation of the line that passes through the point $(0,5)$ with a slope of $m=-3$ .

See Solution

Problem 39930

Find $x$ where $15x = 25 + 12.5x$ to equalize costs at Dance World and Toe Tappers. Options: 10, 15, 100, 150.

See Solution

Problem 39931

Divide 239 by 119 and find the approximate result.

See Solution

Problem 39932

Analyze the customer wait data for 40 Saturdays at Bobak's. Are they discrete or continuous? Choose A, B, C, or D.

See Solution

Problem 39933

The sixth-grade chorus has a boy-to-girl ratio of $3:8$ . Find the number of boys and girls for 11 members last year and 33 this year.

See Solution

Problem 39934

Find the average monthly snowfall in King Salmon, Alaska, given an annual snowfall of 45.9 inches over 7 months.

See Solution

Problem 39935

Find the number of boys and girls in a chorus with a $3:8$ ratio, with totals of 11 last year and 33 this year.

See Solution

Problem 39936

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is $6:5$ . How many were from Michigan? Indiana?

See Solution

Problem 39937

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is $6:5$ , find Michigan and Indiana students.

See Solution

Problem 39938

Find the zeros of $f(x) = x^2 - 150$ using the square root method. What are the x-intercepts?

See Solution

Problem 39939

Find the complex zeros of $f(x)=x^{2}-10x+29$ and graph the function.

See Solution

Problem 39940

(a) What is the most common year of birth reported by the football team? Mean, Median, or Mode? (b) For the data set 28,29,31,32,33,34,35,36,39, which measure summarizes it best? Mean, Median, or Mode? (c) For the ratings 40,41,44,46,48,50,51,52,87, which measure summarizes it best? Mean, Median, or Mode?

See Solution

Problem 39941

How many times heavier is an anaconda weighing $8,643.2$ ounces than a common rat that weighs $11.8$ ounces?

See Solution

Problem 39942

Find the polynomial function $f$ with roots at $x=4i$ and $x=-7+\sqrt{2}$ .

See Solution

Problem 39943

Calculate the value of $\frac{-8(17-12)}{-2(8-(-2))}$ . Options: -4, -2, 2, 4.

See Solution

Problem 39944

Find the complex zeros of $f(x)=5x^{2}+2x+1$ and graph the function. $\mathrm{x}=$ (simplify to a $+b$ form).

See Solution

Problem 39945

Jordan models $-24 \div 12$ on a number line. What is a step in his work? A) Bounce right from -24 to 12. B) Bounce left from 0 to -24. C) Bounce right from 0 to 24. D) Bounce left from 24 to 0.

See Solution

Problem 39946

Analyze the disposable income data for 25 cities.
(a) What analysis do you need to perform?
(b) Calculate the mean, median, mode, or range.

See Solution

Problem 39947

Rudy's Tacos sold 22 dinner specials last month. This month, they sold $250\%$ of that. How many did they sell?

See Solution

Problem 39948

Find the complex zeros of $f(x)=-2x^{2}+8x+40$ and graph it, labeling the intercepts.

See Solution

Problem 39949

What number can multiply the equation to remove decimals? $-m + 0.02 + 2.1m = -1.45 - 4.81m$ Options: 0.01, 0.1, 10, 100

See Solution

Problem 39950

Average monthly snowfall in King Salmon, Alaska, is $45.9 \text{ inches} \div 7 \text{ months}$ . Why is this reasonable?

See Solution

Problem 39951

Solve the equation: $6=1-2 x+5$ .

See Solution

Problem 39952

Compare the cost graphs of a prepaid plan at \ $0.20/min and a contracted plan at \$50/month + \$0.02/min for$ x$ minutes.

See Solution

Problem 39953

Find the complex zeros of $f(x)=-2x^2+8x+19$ and graph the function with labeled intercepts. $x=$

See Solution

Problem 39954

Which expression equals the sum of $-15 + 6$ ?

See Solution

Problem 39955

Find the complex zeros of $f(x)=-2 x^{2}+16 x-23$ and graph it, labeling the intercepts. Express zeros as $a + bi$ .

See Solution

Problem 39956

Solve the equation: $1.5x - 1.2 - x = 0.5$ .

See Solution

Problem 39957

Solve the inequality: $\frac{x+11}{-2} < -2$

See Solution

Problem 39958

Find the value of the function $f(x)=-3 x^{2}+10 x+2$ at $x=-6$ . What is $f(-6)$ ?

See Solution

Problem 39959

A boys' basketball team has a seniors to juniors ratio of $7:4$ . What is the seniors to total ratio? Girls' team has $3:2$ ratio with 12 juniors; which team has more seniors?

See Solution

Problem 39960

Jonathan's computer repair cost \ $336, with \$141 for parts. If labor is \$x per hour for 3 hours, find$ x$.

See Solution

Problem 39961

Find the complex zeros of $f(x)=-2x^2+16x-23$ and graph the function, labeling the intercepts.

See Solution

Problem 39962

Convert the decimal number $40.38$ into Degrees, Minutes, and Seconds (DMS) format.

See Solution

Problem 39963

Solve the inequality: $2(x-1)+3>9$

See Solution

Problem 39964

Solve the equation $x^{2}-4 x+13=0$ using the quadratic formula. Provide the exact solution with radicals and $i$ .

See Solution

Problem 39965

Jon drove 320 miles to his parents' house. His speed was 9 mph faster going than returning. Total driving time was 16 hours. Find both speeds in $\mathrm{mph}$ .

See Solution

Problem 39966

Find $x$ and the length of $PQ$ given $PQ=2x+1$ and $QR=5x-44$ , with $Q$ as the midpoint of $\overline{PR}$ .

See Solution

Problem 39967

Find point $B$ on line segment $\overline{AC}$ where $AB$ is 5 times $BC$ . $A=(-7,5)$ , $C=(5,-1)$ .

See Solution

Problem 39968

Solve the equation $x^{2}-8x+32=0$ using the quadratic formula. Provide exact answers with radicals and $i$ if needed.

See Solution

Problem 39969

Find coordinates of $X$ if midpoint $Y(-5,10)$ of $\overline{XZ}$ and $Z(5,6)$ . Round to nearest tenth.

See Solution

Problem 39970

Find point $M$ given midpoint $K(2,-1)$ and point $L(-9,4)$ . Round to the nearest tenth if needed.

See Solution

Problem 39971

Find the absolute values: $|-9|$ and $|6|$ .

See Solution

Problem 39972

Jackie takes 5 hours and Lisa takes 6 hours to paint. How long to paint together? Give the answer as a reduced fraction.

See Solution

Problem 39973

Determine the marginal cost from the cost function $C(x, y) = 240,000 + 6,000x + 4,000y$ .

See Solution

Problem 39974

Find the real zeros and x-intercepts of $G(x)=(x+5)^{2}+7(x+5)+12$ . Are they the same or different?

See Solution

Problem 39975

Fill in the Venn diagram using: $n(A)=30$ , $n(B)=38$ , $n(C)=23$ , $n(A \cap B)=12$ , $n(B \cap C)=14$ , $n(A \cap C)=5$ , $n(A \cap B \cap C)=2$ , $n(U)=71$ .

See Solution

Problem 39976

A lake empties in 16 weeks and fills in 25 weeks. How long to empty it with both processes? Give your answer as a fraction.

See Solution

Problem 39977

Find the real zeros and $x$ -intercepts of the function $f(x)=x^{4}-41 x^{2}+400$ .

See Solution

Problem 39978

Solve for $q$ in the equation $12 q u=4$ .

See Solution

Problem 39979

Solve for $a$ in the equation $2 a b = 8 c$ .

See Solution

Problem 39980

Find the absolute value of -11. What is $|-11|$ ?

See Solution

Problem 39981

Simplify $x^{4} \cdot x^{3}$ .

See Solution

Problem 39982

Find the real zeros of $P(x)=x^{4}-6 x^{2}-16$ . What are the $x$ -intercepts?

See Solution

Problem 39983

Stacy has $3 \mathrm{lb}$ of grapes for 10 bowls. Each bowl needs 4 oz. Does she have enough? How much extra or needed?

See Solution

Problem 39984

Find the real zeros of $P(x)=x^{4}-4x^{2}-96$ . What are the $x$ -intercepts?

See Solution

Problem 39985

Find the zeros of the function $f(x)=8x^2+12x+3$ using the quadratic formula. What are the x-intercepts?

See Solution

Problem 39986

Mrs. Holidays bought 6 cans of milk and 7 boxes of cream, each costing \$2. What is the total cost?

See Solution

Problem 39987

Divide 545 by 5.

See Solution

Problem 39988

John uses 5 tennis balls and Maya uses 3. How many tennis balls do they use in 3 practice games? Calculate: $3 \times (5 + 3)$ .

See Solution

Problem 39989

Hn uses 5 tennis balls and Maya uses 3. How many tennis balls do they use altogether in 3 practices?

See Solution

Problem 39990

Find the zeros of the function $f(x)=4x^{2}+2x-1$ using the quadratic formula. Are they the same as the $x$ -intercepts?

See Solution

Problem 39991

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

See Solution

Problem 39992

Find the zeros of $f(x)=2x^2+10x+9$ and determine their relationship to the $x$ -intercepts.

See Solution

Problem 39993

Cindy and Shirley can clean the house in 5 hours together. Shirley takes 5 times longer than Cindy. Find Cindy's time alone.

See Solution

Problem 39994

Use the Law of Syllogism to create a new conditional statement from these true statements: If $x<-2$ , then $|x|>2$ ; If $x>2$ , then $|x|>2$ .

See Solution

Problem 39995

If $a=3$ , then $5a=15$ . Use the Law of Syllogism to create a new conditional statement.

See Solution

Problem 39996

Compare monthly costs of two ISPs: Company A's costs for $x$ months and Company B's $y = 45x + 50$ . Which is cheaper?

See Solution

Problem 39997

Find the function $g$ that represents a vertical shrink by a factor of $\frac{1}{2}$ of $f(x)=-3|x-4|$ . $g(x)=$

See Solution

Problem 39998

Graph $f(x) = x^2 - 4x$ . Determine if it opens up or down, and find the vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

See Solution

Problem 39999

If a figure is a square, what can we conclude about its angles and sides using the Law of Syllogism?

See Solution

Problem 40000

Use the Law of Syllogism to create a new conditional statement from these: If a figure is a square, then it has four congruent sides and four right angles.

See Solution

1 ...397 398 399 400 401 402 403 ...662

Math

Problem 39901

Calculate the product: 57⋅1415⋅3020\frac{5}{7} \cdot \frac{14}{15} \cdot \frac{30}{20}75​⋅1514​⋅2030​.

Problem 39902

Calculate the product of s(x)=x−3x2−36s(x)=\frac{x-3}{x^{2}-36}s(x)=x2−36x−3​ and t(x)=x−63−xt(x)=\frac{x-6}{3-x}t(x)=3−xx−6​, and state its domain in interval notation.

Problem 39903

Solve the equation: 3(2x+2)+x+5=−103(2x + 2) + x + 5 = -103(2x+2)+x+5=−10.

Problem 39904

Multiply 16, 3, and 29, then subtract 17 from the result. What is the final answer?

Problem 39905

Calculate: 12×9=\frac{1}{2} \times 9=21​×9=

Problem 39906

Solve the equation: 54x+5(−x+1)−7=−(52x−52)\frac{5}{4} x + 5(-x + 1) - 7 = -\left(\frac{5}{2} x - \frac{5}{2}\right)45​x+5(−x+1)−7=−(25​x−25​)

Problem 39907

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x) and its domain. Given f(x)=xx−1f(x)=\frac{x}{x-1}f(x)=x−1x​ and g(x)=13x2−36g(x)=\frac{13}{x^{2}-36}g(x)=x2−3613​.

Problem 39908

Calculate 11×11211 \times \frac{1}{12}11×121​.

Problem 39909

Solve these two problems: 1. 9.002−3=?9.002 - 3 = ?9.002−3=? 2. 400.06−0.03=?400.06 - 0.03 = ?400.06−0.03=?

Problem 39910

9.002 - 3 = 1.001

Problem 39911

Determine the equation of the line through points (1,−3)(1,-3)(1,−3) and (5,−3)(5,-3)(5,−3).

Problem 39912

Calculate: 15×5=\frac{1}{5} \times 5=51​×5=

Problem 39913

Calculate 10×2310 \times \frac{2}{3}10×32​.

Problem 39914

Find (f∘g)(x)(f \circ g)(x)(f∘g)(x) and its domain in interval notation, where f(x)=xx−1f(x)=\frac{x}{x-1}f(x)=x−1x​ and g(x)=13x2−36g(x)=\frac{13}{x^{2}-36}g(x)=x2−3613​.

Problem 39915

Calculate: 5×56=5 \times \frac{5}{6}=5×65​=

Problem 39916

Multiply 71 by 8, then add 379. What is the result?

Problem 39917

Calculate (13.2+0.9)÷0.6(13.2 + 0.9) \div 0.6(13.2+0.9)÷0.6.

Problem 39918

Serenity pays \36monthlyplus$4perGB.Find36 monthly plus \$4 per GB. Find 36monthlyplus$4perGB.Findx(GB)ifhertotalbillis$51.60.Solvetheequation: (GB) if her total bill is \$51.60. Solve the equation: (GB)ifhertotalbillis$51.60.Solvetheequation:36 + 4x = 51.60$.

Problem 39919

Subtract the following: 9 tenths - 3 tenths = tenths 9 ones 2 thousandths - 3 ones = ones thousandths 4 hundreds 6 hundredths - 3 hundredths = hundreds hundredths hundredths

Problem 39920

Calculate 41.84−0.941.84 - 0.941.84−0.9.

Problem 39921

Solve using the standard algorithm: 1.8−0.9=1.8 - 0.9 = 1.8−0.9=

Problem 39922

Calculate 5.182−0.095.182 - 0.095.182−0.09.

Problem 39923

Calculate 341.84−21.92341.84 - 21.92341.84−21.92.

Problem 39924

Estimate the mean survival time (in months) for 21 multiple myeloma patients treated with Thalidomide using the given frequency data.

Problem 39925

Solve the system: 2x+3y=12402x + 3y = 12402x+3y=1240 and x=2y−10x = 2y - 10x=2y−10. Find food and ride tickets sold.

Problem 39926

A tree company's delivery fee varies with the number of trees. Why is the cost function nonlinear? Consider the rates of change.

Problem 39927

Evaluate the expression 62+10÷(−5)(3)−56^{2}+10 \div(-5)(3)-562+10÷(−5)(3)−5 using order of operations. What to do first?

Problem 39928

Alejandro studied for 5 more minutes each day for 6 days. What is the change in study time from day 1 to day 6? -30 minutes -11 minutes 11 minutes 30 minutes

Problem 39929

Find the equation of the line that passes through the point (0,5)(0,5)(0,5) with a slope of m=−3m=-3m=−3.

Problem 39930

Find xxx where 15x=25+12.5x15x = 25 + 12.5x15x=25+12.5x to equalize costs at Dance World and Toe Tappers. Options: 10, 15, 100, 150.

Problem 39931

Divide 239 by 119 and find the approximate result.

Problem 39932

Analyze the customer wait data for 40 Saturdays at Bobak's. Are they discrete or continuous? Choose A, B, C, or D.

Problem 39933

The sixth-grade chorus has a boy-to-girl ratio of 3:83:83:8. Find the number of boys and girls for 11 members last year and 33 this year.

Problem 39934

Find the average monthly snowfall in King Salmon, Alaska, given an annual snowfall of 45.9 inches over 7 months.

Problem 39935

Find the number of boys and girls in a chorus with a 3:83:83:8 ratio, with totals of 11 last year and 33 this year.

Problem 39936

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is 6:56:56:5. How many were from Michigan? Indiana?

Problem 39937

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is 6:56:56:5, find Michigan and Indiana students.

Problem 39938

Find the zeros of f(x)=x2−150f(x) = x^2 - 150f(x)=x2−150 using the square root method. What are the x-intercepts?

Problem 39939

Find the complex zeros of f(x)=x2−10x+29f(x)=x^{2}-10x+29f(x)=x2−10x+29 and graph the function.

Problem 39940

Calculate the product: $\frac{5}{7} \cdot \frac{14}{15} \cdot \frac{30}{20}$ .

Calculate the product of $s(x)=\frac{x-3}{x^{2}-36}$ and $t(x)=\frac{x-6}{3-x}$ , and state its domain in interval notation.

Solve the equation: $3(2x + 2) + x + 5 = -10$ .

Calculate: $\frac{1}{2} \times 9=$

Solve the equation: $\frac{5}{4} x + 5(-x + 1) - 7 = -\left(\frac{5}{2} x - \frac{5}{2}\right)$

Find $(f \circ g)(x)$ and its domain. Given $f(x)=\frac{x}{x-1}$ and $g(x)=\frac{13}{x^{2}-36}$ .

Calculate $11 \times \frac{1}{12}$ .

Solve these two problems: 1. $9.002 - 3 = ?$ 2. $400.06 - 0.03 = ?$

Determine the equation of the line through points $(1,-3)$ and $(5,-3)$ .

Calculate: $\frac{1}{5} \times 5=$

Calculate $10 \times \frac{2}{3}$ .

Find $(f \circ g)(x)$ and its domain in interval notation, where $f(x)=\frac{x}{x-1}$ and $g(x)=\frac{13}{x^{2}-36}$ .

Calculate: $5 \times \frac{5}{6}=$

Calculate $(13.2 + 0.9) \div 0.6$ .

Serenity pays \ $36 monthly plus \$4 per GB. Find$ x $(GB) if her total bill is \$51.60. Solve the equation:$ 36 + 4x = 51.60$.

Calculate $41.84 - 0.9$ .

Solve using the standard algorithm: $1.8 - 0.9 =$

Calculate $5.182 - 0.09$ .

Calculate $341.84 - 21.92$ .

Solve the system: $2x + 3y = 1240$ and $x = 2y - 10$ . Find food and ride tickets sold.

Evaluate the expression $6^{2}+10 \div(-5)(3)-5$ using order of operations. What to do first?

Find the equation of the line that passes through the point $(0,5)$ with a slope of $m=-3$ .

Find $x$ where $15x = 25 + 12.5x$ to equalize costs at Dance World and Toe Tappers. Options: 10, 15, 100, 150.

The sixth-grade chorus has a boy-to-girl ratio of $3:8$ . Find the number of boys and girls for 11 members last year and 33 this year.

Find the number of boys and girls in a chorus with a $3:8$ ratio, with totals of 11 last year and 33 this year.

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is $6:5$ . How many were from Michigan? Indiana?

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is $6:5$ , find Michigan and Indiana students.

Find the zeros of $f(x) = x^2 - 150$ using the square root method. What are the x-intercepts?

Find the complex zeros of $f(x)=x^{2}-10x+29$ and graph the function.

How many times heavier is an anaconda weighing $8,643.2$ ounces than a common rat that weighs $11.8$ ounces?

Find the polynomial function $f$ with roots at $x=4i$ and $x=-7+\sqrt{2}$ .

Calculate the value of $\frac{-8(17-12)}{-2(8-(-2))}$ . Options: -4, -2, 2, 4.

Find the complex zeros of $f(x)=5x^{2}+2x+1$ and graph the function. $\mathrm{x}=$ (simplify to a $+b$ form).

Jordan models $-24 \div 12$ on a number line. What is a step in his work? A) Bounce right from -24 to 12. B) Bounce left from 0 to -24. C) Bounce right from 0 to 24. D) Bounce left from 24 to 0.

Analyze the disposable income data for 25 cities.
(a) What analysis do you need to perform?
(b) Calculate the mean, median, mode, or range.

Rudy's Tacos sold 22 dinner specials last month. This month, they sold $250\%$ of that. How many did they sell?

Find the complex zeros of $f(x)=-2x^{2}+8x+40$ and graph it, labeling the intercepts.

What number can multiply the equation to remove decimals? $-m + 0.02 + 2.1m = -1.45 - 4.81m$ Options: 0.01, 0.1, 10, 100

Average monthly snowfall in King Salmon, Alaska, is $45.9 \text{ inches} \div 7 \text{ months}$ . Why is this reasonable?

Solve the equation: $6=1-2 x+5$ .

Compare the cost graphs of a prepaid plan at \ $0.20/min and a contracted plan at \$50/month + \$0.02/min for$ x$ minutes.

Find the complex zeros of $f(x)=-2x^2+8x+19$ and graph the function with labeled intercepts. $x=$

Which expression equals the sum of $-15 + 6$ ?

Find the complex zeros of $f(x)=-2 x^{2}+16 x-23$ and graph it, labeling the intercepts. Express zeros as $a + bi$ .

Solve the equation: $1.5x - 1.2 - x = 0.5$ .

Solve the inequality: $\frac{x+11}{-2} < -2$

Find the value of the function $f(x)=-3 x^{2}+10 x+2$ at $x=-6$ . What is $f(-6)$ ?

A boys' basketball team has a seniors to juniors ratio of $7:4$ . What is the seniors to total ratio? Girls' team has $3:2$ ratio with 12 juniors; which team has more seniors?

Jonathan's computer repair cost \ $336, with \$141 for parts. If labor is \$x per hour for 3 hours, find$ x$.

Find the complex zeros of $f(x)=-2x^2+16x-23$ and graph the function, labeling the intercepts.

Convert the decimal number $40.38$ into Degrees, Minutes, and Seconds (DMS) format.

Solve the inequality: $2(x-1)+3>9$

Solve the equation $x^{2}-4 x+13=0$ using the quadratic formula. Provide the exact solution with radicals and $i$ .

Jon drove 320 miles to his parents' house. His speed was 9 mph faster going than returning. Total driving time was 16 hours. Find both speeds in $\mathrm{mph}$ .

Find $x$ and the length of $PQ$ given $PQ=2x+1$ and $QR=5x-44$ , with $Q$ as the midpoint of $\overline{PR}$ .

Find point $B$ on line segment $\overline{AC}$ where $AB$ is 5 times $BC$ . $A=(-7,5)$ , $C=(5,-1)$ .

Solve the equation $x^{2}-8x+32=0$ using the quadratic formula. Provide exact answers with radicals and $i$ if needed.

Find coordinates of $X$ if midpoint $Y(-5,10)$ of $\overline{XZ}$ and $Z(5,6)$ . Round to nearest tenth.

Find point $M$ given midpoint $K(2,-1)$ and point $L(-9,4)$ . Round to the nearest tenth if needed.

Find the absolute values: $|-9|$ and $|6|$ .

Determine the marginal cost from the cost function $C(x, y) = 240,000 + 6,000x + 4,000y$ .

Find the real zeros and x-intercepts of $G(x)=(x+5)^{2}+7(x+5)+12$ . Are they the same or different?