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OverLord2011 [107]
3 years ago
6

Please Help, Due Soon! Solve for y (write in slope-intercept form). 3x - 2y > 10

Mathematics
1 answer:
ira [324]3 years ago
4 0

Answer:

x

−

y

+

4

=

8

6

x

+

2

y

=

8

x

+

6

y

=

5

Step-by-step explanation:

You might be interested in
Factor 30-6v-18w30−6v−18w30, minus, 6, v, minus, 18, w to identify the equivalent expressions.
kompoz [17]

Answer:

Option C.

Step-by-step explanation:

The given expression is

30-6v-18w

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten as

6\times 5-6\times v-6\times 3w

The greatest common factor (G.C.F.) is 6. Taking out G.C.F., we get

30-6v-18w=6(5-v-3w)

Hence, the correct option is C.

7 0
4 years ago
Jacob solves the system of equations by forming a matrix equation.
Lyrx [107]

Simultaneous equations can be solved using inverse matrix operation.

The complete steps of Jacob's solution are:

\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]

We have:

4x + y = 2

-2x + 4y = -22

Calculate the determinant of \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]

|A| = 4 \times 3 -1 \times -2

|A| = 12 +2

|A| = 14

So, the inverse matrix becomes

A = \frac{1}{14}\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]

Replace the first column with \left[\begin{array}{c}2&-22\end{array}\right] to calculate the value of x

x = \frac{1}{14}\left[\begin{array}{cc}2&1\\-22&3\end{array}\right]

So, we have:

x = \frac{1}{14}(2 \times 3 - 1 \times -22)

x = \frac{1}{14}(6 +22)

x = \frac{1}{14}(28)

x = 2

Replace the second column with \left[\begin{array}{c}2&-22\end{array}\right] to calculate the value of y

y = \frac{1}{14}\left[\begin{array}{cc}4&2\\-2&-22\end{array}\right]

So, we have:

y = \frac{1}{14}(4 \times -22 - 2 \times -2)

y = \frac{1}{14}(-88 +4)

y = \frac{1}{14}(-84)

y = -6

Hence, the complete process is:

\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]

\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]

Read more about matrices at:

brainly.com/question/11367104

6 0
3 years ago
Of<br> Use&gt;,&lt;, or = to solve the<br> inequality below<br> 4/1___5/2
netineya [11]

Answer:

4/1>5/2 because

when solved 4>2.5

7 0
3 years ago
The measures of th eangles in a triangle are in the extended ration 2:5:9. find the angle measures of the triangle.
GarryVolchara [31]
Suppose the angles measures are 2x, 5x, and 9x
the three angles make a total of 180: 2x+5x+9x=180
16x=180
x=11.25
so the three angles are 22.5, 56.25, and 101.25 respectively
a little odd, but those should be the measurements.
6 0
3 years ago
A druggist needs 25 liters of a solution that is 16% iodine. She has one solution that is 12 % iodine and another that is 37 %.
GalinKa [24]

Answer:

21 liters of the 12% solution and 4 liters of the 37% solution

Step-by-step explanation:

Represent the number of liters of the first solution as x and the second as y. Now, the total liters of iodine is going to be 16% of 25 = 4 liters of iodine, and the total liters of each solution is going to be 25. Now, we can setup two equations:

0.12x+0.37y = 4

x + y = 25

Multiplying the bottom equation by 0.12, we have

0.12x + 0.12y = 3

Subtracting, we have

0.12x+0.37y=4

-

0.12x + 0.12y = 3

= 0.25y = 1

= y = 4

= x = 25 - 4 = 21

7 0
2 years ago
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