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3 years ago

Write an equation in slope intercept form for the line that passes through (-6,-2) and has a slope of 1/3

Mathematics

1 answer:

BabaBlast [244]3 years ago

5 0

Answer:

y=1/3x-2

Step-by-step explanation:

Since the slope intercept form formula is y=mx+b all we need to do is input the values. So m is the slope. Input 1/3. X is next to it because we solve for this. B is the y intercept. Meaning its the point that crosses the line on the graph that is vertical. And you already have -2. Since we know: (x,y) so choose the y. And you have your equation.

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3 years ago

A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and

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Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

$x+y\leq 200$

<em>Verify each case</em>

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

$-50+160\leq 200$

$110\leq 200$ ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

$80+160\leq 200$

$240\leq 200$ ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

$75-200\leq 200$

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The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

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substitute the value of x and the value of y in the inequality and then compare the result

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5 0

3 years ago

Read 2 more answers

Can anyone help with #4

noname [10]

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Define x and y
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Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)

---------------------------------------------
Construct the 2 equations:
---------------------------------------------
Both x and y must add up to 120g
⇒ x + y = 120

Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2

---------------------------------------------
Solve x and y:
---------------------------------------------
x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)

---------------------------------------------
From equation 2:
---------------------------------------------
0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48

---------------------------------------------
Substitute x = 48 into equation 1:
---------------------------------------------
x + y = 120
48 + y = 120
y = 120 - 48
y = 72

-------------------------------------------------------------------------------------------------------
Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
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3 years ago