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3 years ago

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Given the function h(x) = 4^x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

1 answer:

Aleksandr [31]3 years ago

5 0

A) average rate=Δy/Δx=(y2-y1)/(x2-x1)=(h2-h1)/(x2-x1)
from x1 = 0 to x2= 1, <span>h(x) = 4^x, h(0)=4^0=1, h(1)=4^1=4
</span>average rate=(h2-h1)/(x2-x1)=(4-1)/(1-0)=3 (section A for interval x=0 to x=1)
from x1 = 2 to x2= 3, h(x) = 4^x, h(0)=4^2=16, h(1)=4^3=64
average rate=(h2-h1)/(x2-x1)=(64-16)/(3-2)=48 (section B for interval x=2 to x=3)
B) av.rate section B/ av. rate section A=48/4=12
this is exponential function, and for Δx=1, Δy change more for bigger numbers

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6x + 7 = 13 + 7x pls solve this for me

AURORKA [14]

Answer:

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6*-6 + 7 = 13 + 7*-6

-29 = -29

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Find an nth-degree polynomial function with real coefficients satisfying the given conditions calulator?

fgiga [73]

Answer:

Degree = 4

Step-by-step explanation:

For the given conditions:

n = 4

i and 5i are zeros

f(-2) = 145

For zeros, it means they are a quadratic factor of the expression

It means, we will have x = ± i and x = ± 5i

therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)

Hence, we have the function

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3 years ago

Please help asap 18 pts + brainliest to right/best answer

saul85 [17]

Which two numbers add up to -29 and multiply to 100?

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7 0

3 years ago

What is the sum of the roots of the polynomial shown below?<br> f(x) = x^3 + 2x^2 - 11x-12

svp [43]

<u>Answer: </u>

Sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

<u>Solution:</u>

The general form of cubic polynomial is $a x^{3}+b x^{2}+c x+d=0$ ---- (1)

If we have any cubic polynomial $a x^{3}+b x^{2}+c x+d=0$ having roots $\alpha , \beta , \theta$

Sum of roots $\alpha + \beta + \theta$ = $\frac{-b}{a}$ ---(2)

From question given that,

$x^{3}+2 x^{2}-11 x-12$ --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= $\frac{-2}{1}$

= -2

Hence the sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

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3 years ago