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3 years ago

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 8

Mathematics

1 answer:

ANEK [815]3 years ago

3 0

When you add 8 to the end of a function formula, the graph moves UP 8 units. This is often called either a translation or vertical shift.

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Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles

OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

$A=P\left(1+r\right)^t$

Then we get equation for motorcycles and cars as:

$A=5.75\left(1+0.16\right)^t$

$A=3.5\left(1+0.25\right)^t$

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

$3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t$

$3.5\left(1.25\right)^t>5.75\left(1.16\right)^t$

$\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}$

$\left(\frac{1.25}{1.16}\right)^t>1.64285714286$

$t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)$

$t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}$

$t>6.6436473051$

Hence final answer is approx 6.644 years.

7 0

3 years ago

Thanks for your answer

inna [77]

I hope this helps you feel free to contact me

4 0

2 years ago

Read 2 more answers

A couple does not wish to spend more than $60 for dinner at a restaurant. if a sales tax of 7% is added to the bill and they pla

Firlakuza [10]

Hey there!

The first step of this problem would be to add together our two percentages, then convert that percentage into a decimal by dividing by 100.

15% + 7% = 22%

22 ÷ 100 = 0.22

It can be assumed here that 22% of the cost will be added tax and tip. We can use 0.22 to represent that percentage in our problem. Just multiply that decimal by the maximum amount of money they want to spend, $60, to get the amount that will just be tax and tip. Finally, subtract the tax and tip from $60 to find the most they can spend on the meal itself.

60 × 0.22 = 13.20

60 – 13.20 = 46.80

The total amount they can spend is 46.80.

Hope this helped you out! :-)

5 0

3 years ago

A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have accepta

VikaD [51]

Answer: Our required probability is 0.167.

Step-by-step explanation:

Since we have given that

n = 15

Probability of success p = 80% = 0.8

Probability of failure q = 20% = 0.2

We need to find the probability that at least fourteen will work.

So, by Binomial distribution, we get that

$P(X\geq 14)=P(X=14)+P(X=15)\\\\P(X\geq 14)=^{15}C_{14}(0.8)^{14}(0.2)+^{15}C_{15}(0.8)^{15}\\\\P(X\geq 14)=0.167$

Hence, our required probability is 0.167.

4 0

3 years ago

8 times the sum of a and b

LenaWriter [7]

Answer:

Step-by-step explanation:

i did the quiz

4 0

3 years ago

Read 2 more answers