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hjlf
4 years ago
15

I need help with 2 alegbra questions. Get 10 easy points!

Mathematics
1 answer:
gizmo_the_mogwai [7]4 years ago
8 0
For 5, we if the y-vlaues are increasing by a common ratio.

(y at x = 1) / (y at x = 0) is = 8 / 4 = 2
(y at x = 2) / (y at x = 1) is 24 / 8 = 3
(y at x = 3) / (y at x = 2) is 48/24 = 2

no, exponential function cannot model this data. you can see that the what you have to multiply to the previous changes.

exponential function has the form y = a(b)^x. if that "b" value kept changing, it's not exponential. like y = 4(2)^x would be exponential only for the first two values since y = 4(2)^x at x = 0 is 4 and y = 4(2)^x at x = 1 is 8, but it is not 24 at x = 2 since y = 4(2)^2 = 16.

6.

exponential function has the form y = a(b)^(x)
we see at x = 0, y = 1 so

1 = a(b)^0
1 = a(1)
a = 1

since a=1, we have y = 1(b)^x. to find b, use other points

since at x = 1 we have y = 3, then

3 = (b)^1
b = 3

so the function is y = 3^x


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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
Multiple Choice What is the sum of five-sixths + start fraction 2 over 3 end fraction? A. one and one-third B. One and one half
polet [3.4K]

Answer:

B

Step-by-step explanation:

\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3}  \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}

=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2}  \\\\=1+\frac{1}{2}

B.One and one half

3 0
4 years ago
5 - 4k = -7<br> please help
Lina20 [59]

Answer:

k = 1.75

Step-by-step explanation:

5 - 4k = -7

k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.

4 0
1 year ago
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Anastasy [175]

Answer:

A

Step-by-step explanation:

6 0
4 years ago
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Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%. Chan thought the equival
dedylja [7]

Answer:

No, equivalent quarterly rate will be approx 1.75%

Step-by-step explanation:

Given that Chan deposited money into his retirement account that is compounded annually at an interest rate of 7%.

We know that there are 4 quarters in 1 year.

So to find that equivalent quarterly we will divide given yearly rate by number of quarters.

That means divide 7% by 4.

which gives 1.75%.

But that is different than Chan's though of 2% quarterly interest.

Hence Chan is wrong.

4 0
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