Mathematics, 12.01.2020 07:31 clarissajimenez27

If y=-8 and x= -3 what’s x when y= 6

Answers: 2

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Answer from: reyne36

Part 1) $x=\frac{9}{4}$

Part 2) x=4

Step-by-step explanation:

Analize two problems

Part 1) If y varies directly with x, and If y=-8 and x= -3 what’s x when y= 6

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or y=kx

step 1

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

For x=-3, y=-8

substitute the given values

$k=\frac{-8}{-3}$

$k=\frac{8}{3}$

step 2

Find the linear equation

$y=\frac{8}{3}x$

step 3

Find the value of x when y=6

substitute the value of y in the linear equation

$6=\frac{8}{3}x$

solve for x

$x=(6)\frac{3}{8}$

$x=\frac{18}{8}$

simplify

$x=\frac{9}{4}$

Part 2) If y varies inversely with x, and If y=-8 and x= -3 what’s x when y= 6

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

step 1

Find the value of the constant of proportionality k

k=y*x

For x=-3, y=-8

substitute the given values

k=(-8)(-3)

k=24

step 2

Find the equation

yx=24

step 3

Find the value of x when y=6

substitute the value of y in the equation

6x=24

solve for x

x=4

Answer from: Quest

80% of the cookies

step-by-step explanation:

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

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If y=-8 and x= -3 what’s x when y= 6...

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