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3 years ago

Which quadratic equation defines the function that has zeros at -8 and 6?

1 answer:

5 0

Well, if 'y' has zeros at x=6 and x=-8,
then 'y' must be the product

y = (x - 6) (x + 8)

Perform the multiplication to get the quadratic function:

y = x² + 2x - 48

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Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate expresses the speed of Kendr

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The answer would be 3 blocks per minute

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(HELP ASAAPPP!!!!) A restaurant staff made 54 sandwiches in 18 minutes. At that rate, how many sandwiches would the restaurant s

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At Whole foods they mix two kinds of nuts: peanuts which cost $2.50 per kilogram and walnuts which cost $4.50 per kilogram how m

Allushta [10]

Answer: 37 kilograms of walnuts should be mixed.

Step-by-step explanation:

Let x represent the number of kilograms of peanuts needed to make the mixture.

Let y represent the number of kilograms of walnut needed to make the mixture.

The mixture to be made is 100 kg. It means that

x + y = 100

The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is

3.24 × 100 = $324

peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that

2.5x + 4.5y = 324- - - - - - - - - -1

Substituting x = 100 - y into equation 1, it becomes

2.5(100 - y) + 4.5y = 324

250 - 2.5y + 4.5y = 324

- 2.5y + 4.5y = 324 - 250

2y = 74

y = 74/2 = 37

x = 100 - y = 100 - 37

x = 63

3 0

3 years ago

Lin rode a bike 20 miles in 150 minutes. If she rode at a constant speed, how far did she ride in 15 minutes? How long did it ta

coldgirl [10]

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

$\frac{20 mi}{150min} = \frac{x}{15 min}$

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

$\frac{20 mi}{150min} = \frac{6mi}{x min}$

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

$\frac{20 mi}{150 min}* \frac{60 min}{1 hr} = \frac{1200mi}{150hr} = 8 mi/h$

Therefore, her speed is 8 mph.

5 0

3 years ago

For each of the following, determine the interest rate per compounding period. 1) 12% per year, compounded weekly b) 8% per year

Zarrin [17]

Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

The <u>interest rate per compounding period</u> is given as follows:

$\left(1 + \frac{r}{n}\right)^n - 1$

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

$\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273$

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

$\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833$

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

$\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617$

More can be learned about compound interest at brainly.com/question/25781328

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8 0

2 years ago