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motikmotik
2 years ago
15

Use the given conditions to write an equation for the line in slope-intercept form. Slope = -3, passing through (-5, 3) *

Mathematics
1 answer:
tekilochka [14]2 years ago
6 0

Answer:

y=-3x+3

Step-by-step explanation:

sorry if its wrong im not the best at math.

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Find f^(-1)for the function f(x)= (1)/(x+2)
Artyom0805 [142]

If f(x) and f^{-1}(x) are inverses of each other, then we have

f\left(f^{-1}(x)\right) = x

Since f(x) = \frac1{x+2}, we have

f\left(f^{-1}(x)\right) = \dfrac1{f^{-1}(x)+2} = x

Solve for f^{-1}(x) :

\dfrac1{f^{-1}(x)+2} = x \\\\ 1 = x\left(f^{-1}(x)+2\right) \\\\ 1 = x f^{-1}(x) + 2x \\\\ x f^{-1}(x) = 1 - 2x \\\\ f^{-1}(x) = \dfrac{1-2x}x \\\\ \boxed{f^{-1}(x) = \dfrac1x - 2}

(provided that <em>x</em> ≠ 0 and <em>x</em> ≠ -2)

3 0
3 years ago
Please help
V125BC [204]

A cone that is sliced through the vertex would make the shape of a triangle.

You are told the h eight is 10 cm and the radius is 4 cm.

The radius would be half the base, so the base would be 4 * 2 =8 cm.

The area of the triangle is found by multiplying the base by the height, then dividing by two.

Area = 8 x 10 = 80

80 / 2 = 40 square centimeters.

3 0
3 years ago
Mandy's square quilt measures 99 in on each edge. how many yd of trim does she need to buy to go around the entire quilt
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4x99=396in
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5 0
3 years ago
Read 2 more answers
Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how
jenyasd209 [6]

Answer:

5.5 gallons

Step-by-step explanation:

set up a proportion; Liters in numerator and Gallons in denominator

let x = approx number of gallons

<u> 21 </u> = <u> 3.8 </u>

x           1

3.8x = 21

x = 21 ÷ 3.8

x ≈ 5.5

4 0
3 years ago
5 times a number is 14 less than the square of that number. Find the positive solution.
anastassius [24]

Write the word problem in algebraic form:

n2 -14 = 5n

Write as a quadratic:

n2 - 5n - 14 = 0

Factor:

(n+2)(n-7) = 0

Solve:

n+2 = 0    =>   n = -2

n-7 = 0    =>   n = 7

positive solution is 7.   (14 less than 72 = 35 which is also 5 times 7)

8 0
3 years ago
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