Set up an equation and then solve for the missing variable for the following: If z varies directly with x and inversely with the square of y, when x = 6, y = 3, and z = 4, what is z when x = 50 and y = -5?

Set up an equation and then solve for the missing variable for the following: If z varies directly with x and inversely with the square of y, when x = 6, y = 3, and z = 4, what is z when x = 50 and y = -5?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.8: Joint And Combined Variation

Problem 5OE

See similar textbooks

Related questions

Q: Solve each of the following equations for x. c. log(5x + 150) = 3 The solution is x = 1 Preview d. l...

Q: 00 XX x d Venn diagrams Problen X b Answered: 00 II 00 BXXX earch x+ /activitybuilder/instance/6229f...

Q: Write the standard form of the equation and the general form of the equation of the circle with radi...

A: solution:-centre is at h, k=8, 6radius, r=10

Q: [6 5 8 M = 8 7 6 (M)(element – wise) %3D 5 85

Q: Solve each system using the substitution me tion method. 12. 4x + 3y = 1

Q: If told that |A| = 48 what are the possible value(s) for x 3x 4x A = 3 2x

Q: Write a rule for the translation of ALMN to AL'M'N. y 41 M M L' -4 -2 6 x 2, 11 (z, y) → OD Basic 8 ...

Q: 1 3 4 -3 -6 -7 A = %3D 3 3 -4 -5 -3 9

Q: The Blackburn Computer Company has declared an annual dividend of $0.55 per share. The stock is trad...

A: We have to find the dividend yield.

Q: Write the quotient in the form a + bi. 5+3i/i

Q: Identify the greatest common factor of 8(a + 4) + x(x + 4) Write the expression in factored form

A: Consider 8(x+4)+x(x+4)

Q: why or (a) Are f(x) = 3x –1 and g(x) = ¿(x – 3) inverse functions? Why %3D not?

Q: The square root property turns (x+3) =16 into x - 3 = 4. O True O False

Q: Suppose T is a transformation from R2 to R2. Find the matrix A that induces T if T is reflection ove...

Q: Using correct vocabulary, select the phrases describing how the following equation changed the paren...

Q: When completing the square, what value must you add to both sides of the equation to create a perfec...

Q: For numbers 5 to 8, use AABD ACDB in the given figure. 5. What is the value of y? a. 5 b. 4 7y с. 3 ...

A: As per the company guidelines we can solve one question. I hope that the given solution will help yo...

Q: Point X is the midpoint of AB. Point Y is the midpoint of BX. Point Z is the midpoint of BY. If the ...

A: Dear learner, as per our guidelines we can provide the solution for first only. Kindly post other pa...

Q: 11. Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, ..} O an = 4+ (n – 1)(-1...

Q: Match each variable with its meaning in the following interest formulas. Compound Interest Formula: ...

Q: Using correct vocabulary, select the phrases describing how the following equation changed the paren...

Q: Find a basis for the null space of the matrix given below. 11-4 -1 10 0 1 0 -3 -3 0 0-7 021 A basis ...

Q: (f+ g)(x)= 2x +x-4 (Simplify your answer.) What is the domain of f+g? Select the correct choice belo...

A: Given query is to find the domain of the expression.

Q: The set B= {1+t2. -t+t, 1-2t +t} is a basis for P,. Find the coordinate vector of p(t)= 5- 11t+ 12t2...

Q: Question Find the equation of the parabolic arch formed in the foundation of the bridge shown. (Writ...

A: In this question we have to find the standard equation of parabolic shape.

Q: 5. Solve by factoring: 4x-4x -x +1 = 0.

A: Given query is to find the factors of the expression.

Q: 1. The distance from x to 7 is more than 2 2. x is greater than 7 3. x is greater than or equal to 7...

A: As per the questions we can match the answers as below

Q: If u and v are orthogonal then projvu = 0. If u and v are parallel then projvu = v. ...

A: solution:-if u and v are orthogonal then u.v=0projvu = u.vv2·v=0v2·v=0

Q: I N03/VQuestion 8 54y-1 125*3 Solve the equation 25" 253-y

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- -...

Q: 10. A rectangular solid has a dimensions 3, 4, and 5. What is its diagonal? C. 9.41 units 11. A rect...

Q: Determine the average rate of change between (1, g(1)) and (2, g(2)). Show your work.

Q: she has only 14 weeks of work until then.

Q: The polynomial of degree 4, P(a), has a root of multiplicity 2 at a = 3 and roots of multiplicity 1 ...

A: To find the formula of p(x)

Q: 3) If a = 31-2j, b = 7i+5j and c = 9i-j, show that a - (b-c) = (a - b) - (a - c). %3D

Q: +b); A= 135, B = 10, b = 5

Q: For the given functions f and g, complete parts (a)- f(x) = 4x+5; g(x) = 7x – 1

A: Given: f(x)=4x+5g(x)=7x-1

Q: In the given figure, write a two-column proof to prove that AABC = AEDC. 1. Given: C is the midpoint...

A: 1.C is the mis point of BD and AE2.SR≅SC and RO∥CK

Q: 2. Solve the following system of equations using the Gauss and Gauss-Jordan elimination methods. 2x1...

Q: Michaela signed a 5-year contract for a new job. Her starting salary is $67,000 per year, and the sa...

A: Here , We have given starting salary of Michaela as 67000 dollar now it's salary increa...

Q: A circle has the equation x +y +6x-8y-11=0. (a) Find the center (h,k) and radius r of the circle. (b...

Q: Part 1 of 2 O Points: 0 of 1 Write an equation for the line perpendicular to the line y = 14 and pas...

A: Solving with graph

Q: x² –22x+121=(x-22)* O True O False

A: We can check the statement is true or not as below.

Q: Approximate the solutions to the quadratic equation by graphing. Use the vertex and x-intercepts to ...

Q: Grien the tunetions 3 Evalugte the funehion Gof) for ge = 3. gnser in excet simpletied tom. Select i...

A: Given query is to find indicated composite function.

Q: 17. Multiply. 2(Ax- 6) 18. John has a piece of rope. The rope is 144 inches. He cuts the rope into t...

A: We can solve question no 17 and 18 as below

Q: between the longest worm and the worm was 3 inches long. There were 2 worms that were 4 inches long....

Q: 26) Let A be annxn matrix such that A2 = 0. Then what can we say about the matrix I+ A? A)I+ A is in...

Q: А. {xl1 < x < 8} В. 1. [1, оо) 2. (1, 8] (x1 <х < 8] С. {xl1 < x} 3. [1, 8] 4. [1, 8) D. 5. (1, 8) {...

Q: An arrow is shot straight forward with a velocity of 96 ft. per second, from an altitude of 86 ft. F...

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

If p varies directly as q and p=10 , when q=2 . find the equation that relates p and q.
The volume of a gas in a container varies inversely as the pressure on the gas. If a container of argon has a volume of 336 cubic inches under a pressure of 2,500 psi, what will be its volume if the pressure is decreased to 2,000 psi?
If v varies directly as w and v=21 , when w=8 . find the equation that relates v and w.
The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?
Write an inverse variation equation to solve the following problems. 489. The time required to empty a tank varies inversely as the rate of pumping. It took Janet 5 hours to pump her flooded basement using a pump that was rated at 200 gpm (gallons per minute), a. Write the equation that relates the number of hours to the pump rate. b. How long would it take Janet to pump her basement if she used a pump rated at 400 gpm?
The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?
Write an inverse variation equation to solve the following problems. 487. The fuel consumption (mpg) of a car varies inversely with its weight. A Toyota Corolla weighs 2800 pounds and gets 33 mpg on the highway. a. Write the equation that relates the mpg to the car’s weight. b. What would the fuel consumption be for a Toyota Sequoia that weighs 5500 pounds?
Write an equation for each of the following problems, and solve for the unknown. Find x.
A car’s value varies inversely with its age. Elena bought a two-year-old car for $20,000. a. Write the equation of variation. b. What will be the value of Elena’s car when it is 5 years old?
Write an inverse variation equation to solve the following problems. 488. A car’s value varies inversely with its age. Jackie bought a 10 year old car for $2,400. a. Write the equation that relates the car’s value to its age. b. What will be the value of Jackie’s car when it is 15 years old?
Write an equation for each of the following problems, solve for the unknown, and check. Find x.