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3 years ago

I need help please on #7

Mathematics

2 answers:

vredina [299]3 years ago

7 0

X=-4 is the answer for this question

solong [7]3 years ago

4 0

Answer:

x ≤ - 4

Step-by-step explanation:

7x + 12 ≤ -2x + 4x - 8

7x + 12 ≤ 2x - 8

7x - 2x + 12 ≤ 2x - 2x - 8

5x + 12 ≤ -8

5x + 12 - 12 ≤ - 8 - 12

5x ≤ - 20

5 5

x ≤ - 4

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prisoha [69]

To determine the equation of the best fit line, the graphical approach can be done. A line is used in between the given points. Then, the slope and the y-intercept of the line is determined to give us the equation. The equations of two scatter plots are
y = 0.22 x + 0.46
y = 8x + 8.25<span />

4 0

2 years ago

Solve the given equation by completing the square.

Dmitriy789 [7]

Answer:

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Step-by-step explanation:

$x^{2} +8x = 38$

Add 16 to both sides.

$x^{2} +8x+16 = 38 + 16$

$(x+4)^{2} =54$

$x + 4 = \sqrt{54}$ or $x + 4 = -\sqrt{54}$

$x+4=3\sqrt{6}$ or $x+4=-3\sqrt{6}$

$x=-4+3\sqrt{6}$ or $x=-4-3\sqrt{6}$

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

6 0

3 years ago

Read 2 more answers

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago

The angles below are supplementary. What is the value of x?

USPshnik [31]

Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles

set the sum of the 2 angles to equal 180 and solve for x

6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12

you could check to make sure that your x value is correct by plugging it back into the equation

6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180

hope this helped!

8 0

3 years ago

If two is added to four times a certain number, the result <br> is 26. What is the number?

olga2289 [7]

The number is 8 because 4 times 8 equals 24 plus 2 is 26

6 0

3 years ago

Read 2 more answers