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Harrizon [31]
3 years ago
11

a purse contains $2.95 in quarters and dimes. there are 9 more quarters than dimes. find the number of quarters and dimes.

Mathematics
2 answers:
Firdavs [7]3 years ago
5 0
There are 11 quarters and 2 dimes in the purse
julsineya [31]3 years ago
4 0
0.25q + 0.10d = 2.95
q = d + 9

0.25(d + 9) + 0.10d = 2.95
0.25d + 2.25 + 0.10d = 2.95
0.25d + 0.10d = 2.95 - 2.25
0.35d = 0.70
d = 0.70/0.35
d = 2 <=== 2 dimes

q = d + 9
q = 2 + 9
q = 11 <=== 11 quarters
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Which equation represents an exponential function that passes through the point (2, 80)?
Lena [83]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the exponential function here:

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2 years ago
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blondinia [14]

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Assume the annual day care cost per child is normally distributed with a mean of ​$9000 and a standard deviation of ​$1000. What
Tpy6a [65]

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Step-by-step explanation:

Given:

  • \sf \mu=9000
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\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)

P(X > 8600) = 1 - P(X ≤ 8600)

                    = 1 - 0.3445782584

                    = 0.6554217416

                    = 65.54%

3 0
2 years ago
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