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telo118 [61]
3 years ago
10

The functions fand g are defined as follows:

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Step-by-step explanation:

Given

f(x) = -5x - 1

and

g(x) = 2x + 2

Now

f(3) = - 5 * 3 - 1

= -15 -1

= -16

Also

g(-4) = 2 * (-4) + 2

= - 8 + 2

= - 6

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Answer: it’s C. Y=3x-5

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3 years ago
An object is traveling at a steady speed of 10 1/5 mi​/h. How long will it take the object to travel 1 4/5?
professor190 [17]

The object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi​/h.

<h3>What is the distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

An object is traveling at a steady speed of 10 1/5 mi​/h.

u = 10 1/5 min/h

u = 51/5 min/h

As we know, the speed-distance relationship:

time = distance/speed

distance = 1 4/5 = 9/5

time = (9/5)/(51/5)

time = 9/51 hours

time = (9/51)60

time = 10.58 minutes

Thus, the object needs 10.58 minutes to travel 1 4/5 if the object is traveling at a steady speed of 10 1/5 mi​/h.

Learn more about the distance here:

brainly.com/question/26711747

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3 0
2 years ago
Trianas age is 5 years less than 3 times her brothers age. Trianas age is 11 minus her brothers age. How old is Triana?
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8 0
3 years ago
2/3 cups of raisins are mixed with 1/2 cup peanuts what is the ratio
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6 0
3 years ago
PLEASE HELP MEEEE HURRRY!!! :)
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Answer:

Option D

Step-by-step explanation:

We are given the following equations -

\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}  First, I swapped the first and third rows.

\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}  Leading coefficient of row 2 canceled.  

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}  The start value of row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}       Matrix rows 2 and 3 were swapped.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}      Leading coefficient in row 3 was canceled.

\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}

The positioning of the zeros indicated that there was no solution!

<u><em>Hope that helps!</em></u>

6 0
3 years ago
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