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2 years ago

Graph the quadratic function ƒ(x) = 2(x − 3)2 − 2

Mathematics

1 answer:

Dahasolnce [82]2 years ago

6 0

Answer:

ƒ(x) = (x - 2)^2 + 1

Step-by-step explanation:

To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...

f(x) = g(x -h) +k

You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...

f(x) = g(x -2) +1

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Furkat [3]

Answer: 420 miles

Step-by-step explanation: She drove 7 hours at an average of 60 mph. You have to do 7 times 60 because each hour she goes 60 miles. 7 multiplied by 60 will give you 420.

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3 years ago

Expand 2(x-1) <br> Expand 3(2x+3)<br> Expand 7(x+5) <br> Expand 5(2x-y)

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2 years ago

Solve this for me please I will mark brainliest?

Alexandra [31]

Answer:

There were 53 cakes ordered.

Step-by-step explanation:

☆Cross multiply.

$\frac{3 \: cakes}{50.67 \: dollars} = \frac{x}{895.17 \: dollars} \\ \\ \frac{50.67x}{50.67} = \frac{2685.51}{50.67} \\ \\ x = 53$

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2 years ago

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Citrus2011 [14]

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1 year ago

In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

2 years ago