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mestny [16]
3 years ago
5

Write an exponential function y = a(b)" whose graph passes through the given

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

y = 6 * 3ˣ

Step-by-step explanation:

y = a * bˣ

(-1 , 2):   2 = a * (b)⁻¹ = a/b               a = 2b

(2 , 54)  54 = a * b²  = 2b * b² = 2b³

b³ = 54/2 = 27          b = 3

a = 6

Function: y = 6 * 3ˣ

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Step-by-step explanation:

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3 years ago
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What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

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Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
3 years ago
Conan installs windows for a living and has propped his ladder against a customer's
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Answer:

Step-by-step explanation:

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h^2=x^2+y^2

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h^2=8^2+15^2

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h=17 ft

The ladder is 17 feet long.

3 0
2 years ago
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