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Luda [366]
3 years ago
10

How would u write this equation?

Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

Step-by-step explanation:

y=a*b^x

pass thro' (1, 7.5) n (3, 16.875)

at x=1, y=a*b=7.5

at x=3, y=a^b^3=16.875

dividing, a*b^3/a*b=16.875/7.5

b^2=2.25

b=+1.5 or -1.5

a=7.5/b

a=5 or -5

y=5*(1.5)^x

or

y=(-5)*(-1.5)^x

stich3 [128]3 years ago
4 0

Answer:

y=5x1.5^x or y=-5x(-1.5)^x

Step-by-step explanation:

Given y=axb^x  and it passes through (1, 7.5) n (3, 16.875)

7.5=axb

so a=7.5/b

16.875=axb^3

substitute a into the equation

16.875=7.5/bxb^3

16.876/7.5=b^3/b

2.25=b^2

b=+/-1.5

a=7.5/b

=+/-5

y=5x1.5^x or y=-5x(-1.5)^x

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Komok [63]

Answer:

A equação da reta é dada por: y = \frac{2}{3}x - \frac{4}{3}

Step-by-step explanation:

Equação de uma reta:

A equação de uma reta tem o seguinte formato:

y = ax + b

Em que a é o coeficiente angular e b é o coeficiente linear.

Coeficiente angular:

Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.

A(-1, -2) e B(5,2)

Mudança em y: 2 - (-2) = 2 + 2 = 4

Mudança em x: 5 - (-1) = 5 + 1 = 6

Coeficiente angular: m = \frac{4}{6} = \frac{2}{3}

Então:

y = \frac{2}{3}x + b

Coeficiente linear:

Substituindo um ponto na equação, encontra-se o coeficiente linear.

B(5,2)

Quando x = 5, y = 2. Então:

y = \frac{2}{3}x + b

2 = \frac{2}{3}5 + b

b = 2 - \frac{10}{3} = \frac{6}{3} - \frac{10}{3} = -\frac{4}{3}

Então:

y = \frac{2}{3}x - \frac{4}{3}

8 0
3 years ago
Find the slope of the line passing through the points (-2,3) a<br> and<br> (-9,6).
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<h3>Answer:   Slope = -3/7</h3>

===================================================

Apply the slope formula

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m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

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Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da
strojnjashka [21]

Answer:

The average rate of change is 1.275

Step-by-step explanation:

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f(10)=0.01(2)^{10}=10.24

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