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LUCKY_DIMON [66]
3 years ago
5

Please help. I will mark BRAINLIEST! Find an equation for the graph sketched below.

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0

9514 1404 393

Answer:

  f(x) = 2(3^x) -5

Step-by-step explanation:

The function is apparently exponential, with a vertical offset. The form of it will be ...

  f(x) = a(b^x) +c

For large negative x, the value of f(x) approaches c, which appears to be -5 on the graph. For x=0, the value of f(x) is a+c, so we have ...

  a -5 = -3

  a = 2 . . . . . . add 5

For x=1, it appears that f(1) = 1. This tells us ...

  f(x) = 2(b) -5 = 1

  2b = 6 . . . . . . . . . . add 5

  b = 3 . . . . . . . . divide by 2

Then the function equation is ...

  f(x) = 2(3^x) -5

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Answer:

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3 0
2 years ago
The smaller triangle was dilated to form the larger triangle. What is the value of x? PLEASE HELP!!
Goshia [24]
The value of x is equal to 14.
 
Since the bottom side is equal to 3 of the small triangle and the side of the larger triangle is equal to 9, that means that it was dilated by a factor of 3, since 3 * 3 = 9
So, the other side of 5, of the smaller triangle needs to be also be dilated by a factor of 3, so the new side is 15.
The larger triangle tells us that the side is x + 1, but we know that it is equal to 15. Since they are the same, we make them equal and solve for x
So, 15 = x + 1
We subtract 1 to isolate x and we get
14 = x
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3 0
3 years ago
Read 2 more answers
A quantity with an initial value of 600 decays exponentially at a rate of
Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

Q(t) = 600(1 - 0.0005)^{t}

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

Q(t) = 600(1 - 0.0005)^{t}

Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64

The value of the quantity after 87 months will be of 599.64.

8 0
3 years ago
What is the answer to -5(6+9k)
anzhelika [568]

Answer: The answer is -30 - 45 k

Step-by-step explanation:

8 0
3 years ago
Whats (4.2×10^6)+(2.25 × 10^5) in scientific form
lys-0071 [83]
We are going to rewrite both numbers:
 (4.2 × 10 ^ 6) = 4200000
 (2.25 × 10 ^ 5) = 225000
 Adding we have:
 4200000 + 225000 = 4425000
 Rewriting in exponential notation we have:
 4425000 = 4,425 * 10 ^ 6
 Answer:
 
(4.2 × 10 ^ 6) + (2.25 × 10 ^ 5) is equal to:
 
4,425 * 10 ^ 6
8 0
4 years ago
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