y varies inversely with x if y = 7 when x =-4, find y when x = 5​

Answers

Answer 1

Answer:

y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 28 = k

y = [tex]\frac{-28}{x}[/tex] ← equation of variation

When x = 5 , then

y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]


Related Questions

Which expression is equal to (1.5)3? Select all that apply

Answers

Answer:

Step-by-step explanation:

There isn't anything to choose from.

However, if your expression is (1.5)^3, then the answer is 3.375. You can match this up to what choices you have.

1.5^3=3.375

1.5*1.5*1.5=3.375

Answer:

One expression is 3(1.5)

Step-by-step explanation:

Here"s why:

The order of multiplication doesn't matter. For example, 3 times 5 is 15 and 5 times 3 is also 15.

I hope this is somewhat you were looking for!!   :)

Destiny has 10$ and Elijah has 5$. I give each person the same amount of money each week. This situation can be represented with: x + 10 = x + 5

How many solutions does this situation reperesent ? Please explain your reasoning

Answers

Answer:

I do believe that the answer is 0 solutions.

Step-by-step explanation:

x+10 =x+5

Subtract 5 from both sides, you get:

x+5=x

Subtract x from both sides, and you get:

5=0 which is NOT true. Also I maybe wrong, pls don't be mad at me.

TRUE/FALSE: The slope of the line that is PEREPNDICULAR to this line is -3/2.

Answers

Answer:

True

Step-by Step Explanation:

expressions equivalent 10(2 + 3)-8.3 hurry extra points!

Answers

Answer:

41.7

Step-by-step explanation:

[tex]10(2 + 3) - 8.3 \\ \\ = 10 (5) - 8.3 \\ \\ = 50 - 8.3 \\ \\ = 41.7[/tex]

3) Jonathan purchased 120 pieces of candy for Valentine's Day. He
gives 2 pieces to each of his friends. When he finishes handing
out candy, he has 30 pieces left. How many friends did he give
candy to?

Answers

I think 45

Step-by-step explanation:

120-30=90

90 pieces are gone and divide that by two for each friend

90÷2=45 so he has 45 friends?

ax + bx = 0
Solve equation for x

Answers

X=0 is the value....

Answer:

you cant have two variables

Step-by-step explanation:

Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)

Answers

Step-by-step explanation:

point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .

Step-by-step explanation:

Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,

We have to find out of given point which point will also be on the graph of f(x).

Consider the given function f(x)=x(x-4)f(x)=x(x−4)

f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x

2

−4x

Now we substitute the given point (2+ c, y) in the function given ,

we have,

f(x)=y=x(x-4)f(x)=y=x(x−4)

put for x as 2+c , we have,

\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)

Solve, we get

\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)

Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)

Thus, option (1) is correct.

Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which of the following best explains the amount of cereal left in Rickey's bowl?

Answers

Answer:

5/8 cup left

Step-by-step explanation:

7/8 - 1/4

1/4=2/8

7/8-2/8

5/8

Erica’s bank account increased from $1,200.00 to $1,500.00. By what percent did the amount of money in her bank account increase?

Answers

I’m pretty sure 25% like the other person said

25% amount of money increased in her bank account.

Here,

Erica’s bank account increased from $1,200.00 to $1,500.00.

We have to find the percent of amount of money in her bank account increase.

What is Percent?

Percentage is a fraction or a ratio in which the value of whole is always 100.

Now,

Erica’s bank account increased from $1,200.00 to $1,500.00.

Increased money = $1,500 - $1,200 = $300

Percentage of increased money = [tex]\frac{300}{1200} * 100 = 25[/tex]

Hence, 25% amount of money increased in her bank account.

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SOMEONE HELP I DONT KNOW WHAT THE HECK IM DOING (7th grade)

Answers

Answer:

Step-by-step explanation:

I'm 8th grade, G

For this problem, you can start by taking the 35 and dividing it by 5 to get 7. Then you need to take 300 and divide that by 5 to get the right proportions. Then you can take your new number from 300 and divide that by 7, and you should not be on the right path because I'm probably an idiot.

Sorry bout it

Answer:

hi

Step-by-step explanation:

7. Given f(x) = 3x - 1, find f(2).
4

2

1

5

Answers

f(2) = 3(2) - 1
f(2) = 6-1 = 5
The answer would be 5

Answer:

5

Step-by-step explanation:

Solve for u. 7/6=u+4/8 Simply the answer.

Answers

Answer:

plz mark brainliest

Step-by-step explanation:

16/3 or 5 1/3

Answer:

[tex]u=\frac{16}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]

Step 2: Solve for u

Cross-multiply:                    [tex]7(8)=6(u+4)[/tex]Multiply:                               [tex]56=6(u+4)[/tex]Distribute 6:                        [tex]56=6u+24[/tex]Isolate u term:                     [tex]32=6u[/tex]Isolate u:                              [tex]\frac{32}{6} =u[/tex]Simplify:                               [tex]\frac{16}{3} =u[/tex]Rewrite:                               [tex]u=\frac{16}{3}[/tex]

Step 3: Check

Plug in u into the original equation to verify it's a solution.

Substitute in u:                    [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add:                                     [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide:                                 [tex]\frac{7}{6} =\frac{7}{6}[/tex]

Here we see that 7/6 does indeed equal 7/6.

∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.

Consider the expression. 6 · 60 · 6–3 Which statements are true about the expression? Check all that apply. The 6 without an exponent is equivalent to the 6 having a 0 exponent. The sum of the exponents is

Answers

Answer:

4. The expression has a value of 1/36 . True

5. An equivalent expression is (6)^5. (6)^- 7  True

Step-by-step explanation:

Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.

Any number having an exponent zero has a value equal to 1.

6 · (6)^0 · (6)^–3

= 6.1.1/216

= 1/36

= (6)^-2

2. The sum of exponents is 2.  

False ( the sum of exponents is -2)

3.Multiply the exponents to solve the expression .

False when the bases are the same the exponents are added or subtracted.

4. The expression has a value of 1/36 .

True

5. An equivalent expression is (6)^5. (6)^- 7

True

Answer:

The last two answers d and e

Step-by-step explanation:

The absolute value of ______ is the same number

Fill in the blank

Answers

Answer: I dont know what the fill in the blank would be, but simply make any number not negative

Step-by-step explanation: Example |-3| = 3

there are always positive

someone help plz it is appreciated very much

Answers

Answer:

y=x+6 is the correct answer:)

Step-by-step explanation:

I suck at math please do this for me I’ll give you anything

Answers

Answer:

Step-by-step explanation:

20:

The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled

Answers

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

The store bought a table for $200, and sold it for $350. What percentage was the markup? %

Answers

Answer: 175% or 75% more in price

Step-by-step explanation:

There was a 75% of markup in the price.

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, The store bought a table for $200, and sold it for $350, we need to find the percentage of markup in the price,

percentage of markup in the price =

(final price - original price)/(original price)x100

final price = $350, original price = $200

Markup in price = $350-$200 = $150

percentage of markup in the price = 150/200x100 = 75%

Hence, There was a 75% of markup in the price.

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I NEED HELP PLEASE I WILL MARK

Answers

Answer:

-22

Step-by-step explanation:

-22 is the quotient

Answer: -22

Hope this helps.

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

undefined slope

Step-by-step explanation:

This is a vertical line parallel to the y- axis.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (- 5, - 6) ← 2 points on the line

m = [tex]\frac{-6+3}{-5+5}[/tex] = [tex]\frac{3}{0}[/tex]

Since division by zero is undefined then the slope is undefined.

Note that all vertical lines have an undefined slope

Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3

Answers

Answer:

(5,1)

(3,4)

(2,2)

(1,5)

This system of equations is shown on the graph:
2y − 4x = 6
y = 2x + 3


Which statement about the system is true?

A. The system has no solution.
B. The system has a unique solution at (0,3).
C. The system has a unique solution at (1,5).
D. The system has infinitely many solutions.

Answers

Answer:

Option (D)

Step-by-step explanation:

System of equations has been given as,

2y - 4x = 6

y - 2x = 3 [Dividing both sides of the equation by 2]

y = 2x + 3 ------(1) [Slope-intercept for of the equation]

y = 2x + 3 ------(2)

Since, both the equations are same,

System of equations will have infinitely many solutions.

Therefore, Option (D) will be the correct option.

Answer:

d

Step-by-step explanation:

Solve for y
6 = 4x + 9y

Answers

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

Look at the picture for the answer (:

Giving 15 points plz plz help me

Answers

30 dollars equals the slope and 100 dollars equal y intercept

Help!! I got this wrong last time lol

Answers

Answer:

A.

Step-by-step explanation:

when you distribute it you keep the subtraction sign and have to multiply 6 by 50 and then 6 by 1

22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?

Answers

Answer:

17%

Step-by-step explanation:

12,750/75,000=0.17

Which means it's 17%

Brainliest please-

Find the measure of the indicated arc.

Answers

I think that the answer is 61 because the measure of angle B has to be the same of that arc so I find the measure of B adding 70+49=119 and subtract 119 to 180 because triangles add up to 180 and I got 61.

Hope this helps :D

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx

Answers

h(x) = one-quarter is the correct answer!

By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

Definition of inverse function

The inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.

To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".

Inverse of f(x)=4x

Being f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:

f(y)=x=4y

Isolating the variable y, you get:

h(x)=x÷4= [tex]\frac{1}{4}[/tex]x

Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.

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i'll mark you as brainliest​

Answers

Answer:

y=x+30

Step-by-step explanation:

use y2-y1/x2-x1 to find the slope

the y-int is 30 since looking at the answer choices

Answer:

y=x+30

Step-by-step explanation:

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?

Answers

The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.

To find the expected number of visits to 0 before reaching 4, analyze two cases:

success (reaching 4 before 0) and failure (reaching 0 before 4).

By the given data, the probabilities of two cases are:

P(success) p = 1/4,

P(failure)=3/4.

The expected count of failures, X, can be found in terms of success probability p as

[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]

On substituting p = 1/4 gives:

[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]

On taking (1/4) gives

[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]

Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]

This forms a geometric series tends to infinity and the sum is given by :

[tex]S_\infty = a/(1-r)[/tex]

Here: a= 3/4

r = 3/4

Plugging these values into formula gives:

[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]

[tex]S_\infty= 3/4/(1-3/4)[/tex]

On subtracting the denominator gives:

= 3/4/(1/4)

On taking reciprocal gives:

= 3/4 * 4

On simplifying gives:

= 3

Substituting these value into given equation 1 gives:

E(X) = 1/4*[3]

On multiplying gives:

E(X) = 3/4.

Therefore, the  expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.

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