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Liula [17]
2 years ago
11

What is the absolute value of | r - 8| = 5?

Mathematics
1 answer:
fomenos2 years ago
3 0

Answer:

r = 13, 3

Step-by-step explanation:

| r - 8| = 5

All solutions for r by breaking the absolute value into the positive and negative components

r = 13, 3

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NO LINKS!!!<br><br>14. Consider the table​
iVinArrow [24]

Answer:

(a) rate of change = 8

(b) Function: y = 8x

(c) Domain: 0 ≤ x ≤ 2

    Range: 0 ≤ y ≤ 16

Explanation:

Looks like a inverse variation sequence.

Inverse Variation formula: y = k(x)

Take two points: (1, 8), (2, 16)

Find the value of k which is constant also considered as <u>rate of change</u>.

<u>Insert values</u>:

  • 8 = k(1)
  • k = 8

===========

  • 16 = k(2)
  • k = 8

Equation: y = 8x

Domain lies in the x axis, Range lies in the y axis.

  • Here domain: 0 ≤ x ≤ 2
  • Here range: 0 ≤ y ≤ 16
5 0
1 year ago
Read 2 more answers
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
Which two equations would be represented as parallel lines?
Mariana [72]

Answer:

The first and third options are parallel.

Step-by-step explanation:

They both have a slope of 2.

Pls mark brainliest. Thanks!

4 0
3 years ago
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Given f(x)=px+q and f^3(x)=8x-7<br>find value of p and q<br><br>​
Zielflug [23.3K]

Answer:answer is 17

Step-by-step explanation:

8(3) - 7

24-7

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2 years ago
Ahome cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
Naily [24]

Answer: the answer is b.

Step-by-step explanation: if you read the graph, you will see number of square feet, X the third one over you will see 100 over 40 and if you duplicate both then you get 200 for the number of square feet and 80 minutes, I hop this helps ツ.

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2 years ago
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