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In-s [12.5K]
2 years ago
8

Which function is a shrink of the exponential growth function shown on the graph?.

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

Step-by-step explanation:

An exponential function is represented by function,

y = a \times  {b}^{x}

Where a is the y intercept and b is the growth factor.

The graph passes through (0,1) which is our y intercept so a=1

Know let find b.

The graph pass through (1,3) so plug in 1 for x and 3 for y.

3 = a  \times 3 {}^{1}

a = 1

So our base function is

y = 1 \times 3 {}^{x}

In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.

So the only option is

y =  \frac{1}{2} (3) {}^{x}

Because 1/2<1

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-6.3x+14 and 1.5x-6<br> answer in simplified form
koban [17]

Answer:

The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

Step-by-step explanation:

We have to simplify the following

-6.3x+14 and 1.5x-6

it can be written as:

=(-6.3x+14) + (1.5x-6)

Adding the like terms

=(-6.3x+1.5x)+(14-6)

= (-4.8x)+(8)

= -4.8x+8

So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8

3 0
3 years ago
What is the equation of a line that is parallel to y=5/6x-10 and passes through (12,8)?
Gekata [30.6K]

Answer:

y-8=5/6(x-12)

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5/6(x-12)

8 0
3 years ago
Simplify complex numbers:add n subtract complex numbers<br><br>(3-5i) - (8-2i) ​
IgorLugansk [536]

Answer:

-5-3i

Step-by-step explanation:

3-8= -5

-5-(-)2i

-5+2i=-3i

5 0
3 years ago
Aubree practices the piano 1197 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Norma-Jean [14]

Answer:

57

Step-by-step explanation:

We need to create a ratio. so Aubree practices the piano for 1197 min: in 3 weeks. So for 1 week, we have to divide 1197 by 3, so 1197/=399. And so we know that 1 week is 7 days, just divide 399 by 7! 399/7=57. The rate that she practiced per day is 57 minutes. So one last final step just to check if this answer is correct is to divide 57 by 60, and that is 0.95. 0.95 out of 1.00 minutes per day is 95/100. Cross multiply with x/60, and you will get your answer, which is 57.

4 0
1 year ago
Read 2 more answers
If <img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7D%7Bx-2%7D%20" id="TexFormula1" title="f(x)= \frac{1}{x-2} " alt
Darina [25.2K]
I think, the answer will be -7

We have:
f(x)=1/(x-2)
g(x)
Then:
(fg)(x)=[1/(x-2)](g(x))=g(x)/(x-2)
Now; we calculate: (fg)`(x)
Remember: (u/v)=(u`v-vu´)/v²
Therefore:

(fg)´(x)=[g´(x)*(x-2) - 1*g(x)]/ (x-2)²
We know that:
g´(1)=-1
(fg)´(1)=6
Therefore:
6=[-1*(1-2)-g(1)]/(1-2)²
6=[1-g(1)]/1
6=1-g(1)
-g(1)=6-1
g(1)=-5

Answer: B. -5
4 0
3 years ago
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