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3 years ago

6

Describe the transformation

1 answer:

yKpoI14uk [10]3 years ago

6 0

Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.

g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.

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3 years ago

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If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,

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3 years ago

If 70 mL of solution contains 280 mg of drug, how many milligrams of drug are in 50 mL of solution?

Ierofanga [76]

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2 years ago

If a new college graduate wants a car costing $21,000, how much must be saved annually over the next four years if the funds ear

fgiga [73]

I'm assuming the funds earn 5% yearly?

Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).

Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.

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3 years ago

How many integers between 10000 and 99999, inclusive, are divisible by 3 or<br> 5 or 7?

Yuki888 [10]

Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

Step-by-step explanation:

Since we have given that

Integers between 10000 and 99999 = 99999-10000+1=90000

n( divisible by 3) = $\dfrac{90000}{3}=30000$

n( divisible by 5) = $\dfrac{90000}{5}=18000$

n( divisible by 7) = $\dfrac{90000}{7}=12857.14$

n( divisible by 3 and 5) = n(3∩5)= $\dfrac{90000}{15}=6000$

n( divisible by 5 and 7) = n(5∩7) = $\dfrac{90000}{35}=2571.42$

n( divisible by 3 and 7) = n(3∩7) = $\dfrac{90000}{21}=4285.71$

n( divisible by 3,5 and 7) = n(3∩5∩7) = $\dfrac{90000}{105}=857.14$

As we know the formula,

n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)

$=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15$

Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

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3 years ago