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2 years ago

Can someone please help me

Mathematics

1 answer:

elixir [45]2 years ago

6 0

Answer:

$x {}^{2} = 0.01$

......................................

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Solve the system of equations by the substitution method. 6x - y = 27 5x + 3y = 11

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A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form

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Answer: y = ½x - 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}$
b = y-intercept ⇒ Substitute in a given point to the function to find b

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3 years ago

Consider the relation y = −4|x − 5| + 3. Which of the following best describes the minimum or maximum point of this relation?

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3 years ago

Problem:

lorasvet [3.4K]

Answer:

The answer is: y = 9.25x 

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

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3 years ago

A sparkling-water distributor wants to make up 400 gal of sparkling water to sell for $8.00 per gallon. She wishes to mix mix th

Alex787 [66]

The sparkling-water distributor should use 160 gallons of $ 14 and 80 gallons of $ 3 and 160 gallons of $ 4.50

Solution:

Let "x" be the gallons of $ 14

Let "y" be the gallons of $ 3

Let "z" be the gallons of $ 4.5

A sparkling-water distributor wants to make up 400 gal of sparkling water

Therefore,

x + y + z = 400 --------- eqn 1

She must use twice as much of the $4.50 water as the $3.00 water

gallons of $ 4.5 = twice of gallons of $ 3

z = 2y --------- eqn 2

A sparkling-water distributor wants to make up 400 gal of sparkling water to sell for $8.00 per gallon

Therefore, we frame a equation as:

$x \times 14 + y \times 3 + z \times 4.5 = 400 \times 8$

14x + 3y + 4.5z = 3200 ----------- eqn 3

Substitute eqn 2 in eqn 3

14x + 3y + 4.5(2y) = 3200

14x + 3y + 9y = 3200

14x + 12y = 3200

Divide both sides by 2

7x + 6y = 1600 -------- eqn 4

Substitute eqn 2 in eqn 1

x + y + 2y = 400

x + 3y = 400

x = 400 - 3y ------- eqn 5

Substitute eqn 5 in eqn 4

7(400 - 3y) + 6y = 1600

2800 - 21y + 6y = 1600

15y = 1200

Divide both sides by 15

y = 80

Substitute y = 80 in eqn 5

x = 400 - 3(80)

x = 400 - 240

x = 160

Substitute y = 80 in eqn 2

z = 2(80)

z = 160

Thus she should use 160 gallons of $ 14 and 80 gallons of $ 3 and 160 gallons of $ 4.50

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3 years ago