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3 years ago

The rate table shows how many miles Emma can ride her bike at a constant rate.

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

The Table shows a rate of 3 miles per hour. So you would multiply the number of hours times 3.

1 x 3 = 3

2 x 3 = 6

4 x 3 = 12

6 x 3 = 18

Time (hours) Miles

1 3

2 6

4 12

6 18

Hope this helps :)

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Help me❤️!!!!!!!!!!!

sweet-ann [11.9K]

Answer:

Step-by-step explanation: Because for inverse functions, domain and range of functions exchange. In simple words, domain of function h(x) = range of inverse function & range of function h(x) = domain of inverse function.

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3 years ago

Pre-Calc: Find all the zeros of the function.

uysha [10]

The zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i and the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

<h3>What are polynomial expressions?</h3>

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to determine the zeros of the polynomial?</h3>

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Set the equation to 0

So, we have

(5y - 4)(5y + 4)(25y^2 + 16) = 0

Expand the equation

So, we have

5y - 4 = 0, 5y + 4 = 0 and 25y^2 + 16 = 0

This gives

5y = 4, 5y = -4 and 25y^2 = -16

Solve the factors of the equation

So, we have

y = 4/5, y = -4/5 and y = ±4/5√i

Hence, the zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i

How to write the polynomial as a product of the linear factors?

In (a), we have

The polynomial equation is given as

f(y) = 625y^4 - 256

Express the terms as an exponent of 4

So, we have

f(y) = (5y)^4 - 4^4

Express the terms as an exponent of 2

So, we have

f(y) = (25y^2)^2 - 16^2

Apply the difference of two squares

So, we have

f(y) = (25y^2 - 16)(25y^2 + 16)

Apply the difference of two squares

So, we have

f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Hence, the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)

Read more about polynomial at

brainly.com/question/17517586

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5 0

1 year ago

Anvisha [2.4K]

You can obtain the a number for which they all divisors by calculating the least common multiple.

This way:

85 = 5*17*1
17=17*1
19=19*1
4=2^2 *1
2=2*1

The least common multiple is: 5*17*19*2^2 = 6,460.

Then 84, 17, 19, 4 and 2 are all divisors of 6,460.

6 0

3 years ago

The probability that Caroline wins a raffle is given by the expression

RSB [31]

Answer: $\frac{n-m}{n}$

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

$1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\$

and now the expression is one single fraction.

8 0

3 years ago

Does anyone get this ???

nikklg [1K]

Answer:

no. sorry. :(

Step-by-step explanation:

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3 years ago