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svet-max [94.6K]
3 years ago
15

write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0
Slope intercept form:
y=mx+b
m=slope
b=y-intercept:

We Know the slope (m=2)and we have a point (4,2) then:
x₀=4
y₀=2
we have to find "b"
y=mx+b
2=2(4)+b
8+b=2
b=2-8
b=-6

Therefore:
if b=-6 and m=2; the equation in slope intercept form would be:
y=2x-6

<span>Answer: y=2x-6</span>
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Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total
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Answer:

t-shirts: 2790

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Step-by-step explanation:

Given  the function:

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Using quadratic formula:

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x = \frac{-8 \pm 8.72}{-6}

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x_2 = 2.79

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d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 =  12.209

that is, $12209

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