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3 years ago

Rachael walked 214 miles in 15 minutes, and Julie walked 334 miles in 25 minutes. Could you tell me who is faster, please?

Mathematics

1 answer:

katrin [286]3 years ago

5 0

Answer:

Rachael is faster.

you can tell by finding the unit amount.

Step-by-step explanation:

I can tell by finding the unit amount. (miles per minute)

Rachael:

214/15 = 14.2666666667 or about 14.27

Julie:

334/25 = 13.36 miles per minute.

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3 years ago

HELP ME PLEASE!!! The function f(x) is graphed on the coordinate plane. What is f(−2) ? Enter your answer in the box. f(−2) =

Ksenya-84 [330]

Answer:

f(-2)=-2

Step-by-step explanation:

we know that

x -----> is the independent variable or input value

f(x) ---> is the dependent variable or output value

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For x=-2

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3 years ago

Y=2x^2+12x+14 in vertex form

balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

= 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

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3 years ago

When f(x) = 2x 2 + 3, find f(-3).<br> -15<br> 21<br> 39

notsponge [240]

Answer:

Step-by-step explanation:

f(x) = 2x^2 + 3

f(-3) = 2(-3)^2 + 3

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3 years ago

Nikita invests $2,000 into a bank account with a 4% annual interest rate. In seven years, which is the most expensive item she c

Stella [2.4K]

Answer:

Anything that does not cost more than $2,560.00

Step-by-step explanation:

Provided that Nikita is spending money that she had invested and the amount she collected over the period of 7 years. She can buy any item that costs no more than $2,560.00 but how?

It is a problem of simple interest:

Here the principal amount (P) = $2,000.00

Interest rate (r) = 4%

Time period (t) = 7 years

So, total amount that she would get by the end of 7 years is:

$A=P+SI$

$SI=\frac{P\times r\times t}{100}$

Plugging the values we get:

$SI=\frac{2000\times 4\times 7}{100}=560.00$

So the interest collected over 7 years is $560.00

Therefore, the total amount after 7 years is:

$\$2000.00+\$560.00=\$2,560.00$

If Nikita is using this money then the most expensive item that she could buy will cost no more than $2,560.00.

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3 years ago