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3 years ago

3/-4 y = 18. solve for y

Mathematics

1 answer:

Leokris [45]3 years ago

3 0

Answer:

y=-24

Step-by-step explanation:

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The function y=kx is given in the table. Find the coefficient k and fill in the table.

Sloan [31]

In the 1st table of values,

take x = 3 and y = 12

since,

y = kx

k = 12÷3

k = 4.

thus,

x = -2, y = -8

x = -1/3, y = -4/3

x = 0, y = 0

y = 16 , x = 3

y = 1/8, x = 1/32

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2 years ago

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Please answer and explain these 3 questions. Thank you!

Gwar [14]

QUESTION 1

We want to find the equation of the straight line that passes through the point
$(1,24)$
and has slope
$m = - 0.6$

We use the point slope formula

$y-y_1=m(x-x_1)$

to obtain,

$y - 24 = - 0.6(x - 1)$

We multiply through by 10 to get,

$10y - 240 = - 6(x - 1)$

We expand bracket to get,

$10y - 240 = - 6x + 6$

We group the constants on the right hand side to get,

$10y + 6x = 6 + 240$

we simplify to get,

$10y + 6x = 246$

Divide through by 2,

$5y + 3x = 123$

or

$3x + 5y = 123$

The correct answer is H.

QUESTION 2

We want to find the equation of a line that passes through
$(6,-8)$
with slope
$m = 0$

We apply the point slope formula

$y-y_1=m(x-x_1)$

to obtain,

$y + 8 = 0(x - 6)$

$y + 8 = 0$

$y = - 8$

The correct answer is J.

QUESTION 3

We want to find the equation of the straight line that passes through,

$(4,-8)$

and has slope

$m = \frac{1}{4}$

We apply the point-slope formula

$y-y_1=m(x-x_1)$

to obtain,

$y + 8 = \frac{1}{4} (x - 4)$

Let us multiply through by 4 to get,

$4y + 32 = x - 4$
We group the constant terms on the right hand side to obtain,

$4y - x = - 4 - 32$

This simplifies to,

$4y - x = - 36$

We multiply through by -1 to get,

$x - 4y = 36$

The correct answer is A.

3 0

3 years ago

A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. T

olya-2409 [2.1K]

Answer: the cost of a tent is $45

the cost of a sleeping bag is $35

the cost of a camp stool is $5

Step-by-step explanation:

Let x represent the cost of a tent.

Let y represent the cost of a sleeping bag.

Let z represent the cost of a camp stool.

A customer buys a tent, 3 sleeping bags, and 4 camp stools for $170. It means that

x + 3y + 4z = 170- - - - - - - - - - - - - - -1

The price of the tent is 9 times the cost of a camp stool. It means that

x = 9z

The cost of a sleeping bag is $30 more than the cost of a camp stool. It means that

y = z + 30

Substituting x = 9z and y = z + 30 into equation 1, it becomes

9z + 3(z + 30) + 4z = 170

9z + 3z + 90 + 4z = 170

9z + 3z + 4z = 170 - 90

16z = 80

z = 80/16

z = 5

y = z + 30 = 5 + 30

y = 35

x = 9z = 9 × 5

x = 45

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3 years ago

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3 years ago

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3/-4 y = 18. solve for y​

3/-4 y = 18. solve for y