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3 years ago

Solve 5[8-(9x-7)]+6x=0

1 answer:

4 0

5[8 - (9x - 7)] + 6x = 0

5[8 -9x + 7] + 6x = 0

5(15 -9x) + 6x = 0

75 - 45x + 6x = 0

-39x = -75

39x = 75

x = $\frac{75}{39}$ = 1.923076923076923 ≈ 1.92

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Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

horsena [70]

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Answer: $\textsf{y = 3/2x + 7/2}$

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Given: $\textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}$

Find: $\textsf{The equation in slope-intercept form}$

Solution: In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us. After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - 2 = 3/2(x - (-1))}$

Simplify and distribute

$\textsf{y - 2 = 3/2(x + 1)}$

$\textsf{y - 2 = (3/2 * x) + (3/2 * 1)}$

$\textsf{y - 2 = 3/2x + 3/2}$

Add 2 to both sides

$\textsf{y - 2 + 2 = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 3/2 + 2}$

$\textsf{y = 3/2x + 7/2}$

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

4 0

2 years ago

-3/5, 6/5, -12/5 What is the next term of the geometric sequence ?

raketka [301]

ANSWER:

24/5

STEP-BY-STEP EXPLANATION:

We have the following geometric sequence:

$s=-\frac{3}{5},\frac{6}{5},\frac{-12}{5}$

To know the following term, we must know the common ratio, like this:

$\begin{gathered} r=\frac{-\frac{12}{5}}{\frac{6}{5}}=-2 \\ r=\frac{\frac{6}{5}}{-\frac{3}{5}}=-2 \end{gathered}$

Therefore, the following term should be:

$-\frac{12}{5}\cdot-2=\frac{24}{5}$

8 0

11 months ago

The Bulldog soccer team wants to increase the size of its practice field by a scale factor of 1.5. The field is a rectangle that

forsale [732]

95ft hope this helps

8 0

3 years ago

NEED ANSWER ASAP!!!!

lesya692 [45]

Answer:

1st option

Step-by-step explanation:

To find the difference of the given matrices, we just need to subtract the corresponding elements of the two matrices as shown below:

$\left[\begin{array}{cc}-4&8\\3&12\end{array}\right] -\left[\begin{array}{cc}2&1\\-14&15\end{array}\right] \\\\ \\ =\left[\begin{array}{cc}-4-2&8-1\\3-(-14)&12-15\end{array}\right]\\\\ \\ =\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right]$

Thus, 1st option gives the correct answer

7 0

3 years ago

Read 2 more answers

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Setler [38]

Answer:

OK what is equation ??????

6 0

2 years ago