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3 years ago

Use a number line to explain why --15 ÷ 3 =-15

1 answer:

7 0

It's equal to -15 because you are dividing by an negative and if it's only 1 negative number in your equation then your answer will be a negative and if it's 2 negatives then it would be a positive answer

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expeople1 [14]

Answer:

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3 years ago

What is 3/7 rounded to a. 0 b. 1/2 c. 1

Dmitry_Shevchenko [17]

Answer: b. 1/2.

Step-by-step explanation: 3/7 in decimal form is 0.42, which is close to 1/2 (0.5) than to 0.

5 0

3 years ago

Is this linear, exponential, or quadratic?

Lady_Fox [76]

Linear. Each increase of 1 in x means a decrease of 3 in y, so it has a consistent slope of -3

5 0

3 years ago

1. Find the point that is a solution for y = 6x + 8

Daniel [21]

An easy way to solve this equation is to plug in the coordinates.

A. 6(2) + 8 ≠ 1

✅ B. 6(-1) + 8 = 2

C. 6(2) + 8 ≠ 4

D. 6(-2) + 8 ≠ 4

6 0

3 years ago

g Given the system of equations: 15 c1 – 5 c2 – c3 = 2400 - 5 c1 + 18 c2 – 6 c3 = 3500 - 4 c1 - c2 + 12 c3 = 4000 (a) Calculate

denpristay [2]

Answer

(a)

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

(b)

$A^{-1} b = \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

$Ax = b$

So, if you know the inverse of $A$ then

$x = A^{-1} b$

For this case

$A = \begin{pmatrix} 15 && 5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12 \end{pmatrix}$

Now for this case the inverse of A would be

$A^{-1} = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}$

Then when you multiply with the vector solution

$A^{-1} b = \frac{1}{3493} \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493} \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}$

So from that information you can conclude that the solution to the system of equations is x = 500/7 y = 2400/7 and z = 2700/7

7 0

3 years ago