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Sonja [21]
4 years ago
5

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

the system has one solution, name it.y=-6x+6 y=-3x-3

Mathematics
1 answer:
ELEN [110]4 years ago
3 0

Hey there! :)

Answer:

Has one solution.

(Graphed below)

Step-by-step explanation:

***The equations are graphed below, but this can also be solved algebraically.***

Set each equation equal to each other:

-6x + 6 = -3x - 3

Add 6x to both sides:

6 = 3x - 3

Add 3 to both sides:

9 = 3x

x = 3.

Plug in the value of x into an equation to solve for y:

y = -6(3) + 6

y = -18 + 6

y = -12.

The system of equations only has ONE solution at (3, -12).

On the graph, as well, the point of intersection is at (3, -12). This is the solution.

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What is the value of x
Shkiper50 [21]

Answer:

124°.

Step-by-step explanation:

x+24°+32°=180° (sum of angles is 180°)

⟹x+56°=180°⟹ x=180°–56°=124°.

3 0
3 years ago
What is the product of the two matrices? Fill in the missing elements of the resulting matrix.​
olganol [36]

The product of the given two matrices comes out to be \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Here we are given the 2 matrices as follows-

\left[\begin{array}{ccc}7&-2\\-6&2\end{array}\right] \left[\begin{array}{ccc}1&1\\3&3.5\end{array}\right]

To find the product of 2 matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix.

Here since both of the matrices are 2 × 2, their product is possible.

Now, to find the product, we need to multiply each element in the first row by each element of the 1st column of the second matrix and then find their sum. Similarly, we do this for all rows and columns.

Therefore,

\left[\begin{array}{ccc}(7*1)+(-2*3)&(7*1)+(-2*3.5)\\(-6*1)+(2*3)&(-6*1)+(2*3.5)\end{array}\right]

= \left[\begin{array}{ccc}(7)+(-6)&(7)+(-7)\\(-6)+(6)&(-6)+(7)\end{array}\right]

= \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Thus, the product of the given two matrices comes out to be \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Learn more about matrices here-

brainly.com/question/13595915

#SPJ1

3 0
1 year ago
A store owner wants to give a pen to each customer who visits their store. The table shows the cost for the number of pens in a
Flura [38]

Answer:

$9 for 36

Step-by-step explanation:

Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:

1. $0.54

2. $0.43

3. $0.31

4. $0.28

5. $0.25

Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.

8 0
3 years ago
What is the equation in slope-intercept form of a line parallel to y=−2x+5 and passes through the point (4, 0)?
ser-zykov [4K]

Parallel lines have the same slope

The equation of the line is: y = -2x+8

The equation is given as:

y = -2x + 5

The slope intercept form of an equation is:

y = mx + b

Where:

m \to slope

By comparison,

m = -2

The line is said to be parallel to y = -2x + 5.

This means that the line has a slope of m = -2

The equation of the line is then calculated as:

y = m(x - x_1) + y_1

Where:

(x_1,y_1) = (4,0)

So, we have:

y = m(x - x_1) + y_1

Substitute values for m, x1 and y1

y = -2(x - 4) + 0

y = -2(x - 4)

Open brackets

y = -2x+8

Hence, the equation of the line is: y = -2x+8

See attachment for the graphs of y = -2x+8 and y = -2x + 5

Read more about equations of parallel lines at:

brainly.com/question/402319

8 0
3 years ago
Х<br> 0<br> 1<br> у<br> —125<br> -121<br> -93<br> -17<br> 131<br> 2<br> 3<br> 4
Katena32 [7]

Answer:

12

Step-by-step explanation:

4 0
3 years ago
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