Given:18x-2(3x+1)=5x-16
Prove:x=-2

(Include statements and reasons)

Answer:

[tex]\:c_{11}=-2,\:\:\:c_{12}=-2[/tex]

[tex]\:c_{21}=5,\:\:\:c_{22}=8[/tex]

Step-by-step explanation:

Given the matrices

[tex]A=\begin{pmatrix}1&-1\\ 2&1\end{pmatrix}[/tex]

[tex]B=\begin{pmatrix}1&2\\ \:3&4\end{pmatrix}[/tex]

Calculating AB:

[tex]\begin{pmatrix}1&-1\\ \:\:2&1\end{pmatrix}\times \:\begin{pmatrix}1&2\\ \:\:3&4\end{pmatrix}=\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}[/tex]

Multiply the rows of the first matrix by the columns of the second matrix

                                   [tex]=\begin{pmatrix}1\cdot \:1+\left(-1\right)\cdot \:3&1\cdot \:2+\left(-1\right)\cdot \:4\\ 2\cdot \:1+1\cdot \:3&2\cdot \:2+1\cdot \:4\end{pmatrix}[/tex]

                                   [tex]=\begin{pmatrix}-2&-2\\ 5&8\end{pmatrix}[/tex]

Hence,

[tex]\begin{pmatrix}c_{11}&c_{12}\\ \:\:\:c_{21}&c_{22}\end{pmatrix}=\begin{pmatrix}-2&-2\\ \:5&8\end{pmatrix}[/tex]

Therefore,

[tex]\:c_{11}=-2,\:\:\:c_{12}=-2[/tex]

[tex]\:c_{21}=5,\:\:\:c_{22}=8[/tex]

Answer:

Step-by-step explanation:

c12: -2

c22: 8

d11: 5

d21: 11

Are the products equal? Does AB = BA?

No

Answer:

20160 ways

Step-by-step explanation:

[tex]8 \times 7 \times 6 \times 5 \times 4 \times 3 \\ 20160[/tex]

Answer:

in parallelogram MATH, m?

Step-by-step explanation:

Why do you mean you that??

Did you get cut off or forgot to add something else to it??

P.s

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Angles "a" and "b" add up to 180°, so they are supplementary angles. NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Answer:

um yea abs Haha ejsbwbsisbwuw whw whwvsvshx c n.v in zhx zb

Step-by-step explanation:

john cena do do do doooooooo

Answer:

7x4/8=3.5

9 × 7/10=6.3

(i dont know this one or the next, hope it helps! ❤

Step-by-step explanation:

Answer:

7 × 4/8= 3 1/2

9 × 7/10 = 6 3/10

1/12 of 1 = 12

2/6 of 2= 6

Answer:

8.90

Step-by-step explanation:

Answer: (8.90)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It has a slope of 1/3 and is the only one that passes through (3,2).

Answer: A

Step-by-step explanation: Correct

Answer:

skp

Step-by-step explanation:

Answer:

I think it is B. It does not look comparable.

Answer:

D

Step-by-step explanation:

the equation has a rate of change of 3

y = mx + b

m is the rate of change

find slope:

y2 - y1/x2 - x1

15 - 5/9 - 2

10/7

1 3/7

3 > 1 3/7

the equation has a greater rate of change

Answer:

Equations

Step-by-step explanation:

x=adult y=child

Day 1= 7x+8y= $168

day 2= 14x+13y= $294

Answer:

10 x -6 = -60

Step-by-step explanation:

The number that multiplies to get -60 are  (-2, 30), (-3, 20), (-4, 15), (-5, 12), (-6, 10), (2, -30), etc.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The number is -60,

Factorize the number as shown below,

60 = 2 × 2 × 3 × 5

Here, the two numbers can be many, some of them are mentioned below,

-60 = 2 × (-30)

-60 = 3 × (-20)

-60 = 4 × (-15)

-60 = 5 × (-12)

-60 = 6 × (-10)

The number can be changed by changing the sign as shown below,

-60 = -2 × 30

-60 = -3 × 20

-60 = -4 × 15

-60 = -5 × 12

-60 = -6 × 10

Thus, the numbers are (-2, 30), (-3, 20), (-4, 15), (-5, 12), (-6, 10), (2, -30), etc.

To know more about multiplication:

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Answer:

The number of batches Ben can make with 5/6 cup of green chilies is [tex]2\frac{1}{2}[/tex] batches of salsa.

Step-by-step explanation:

From the question,

Ben needs 1/3 cups of chilies for a batch of salsa.

To determine how many batches of salsa he can make with 5/6 cup of green chilies,

Let the number of batches Ben can make with 5/6 cup of green chilies be x.

Now,

If 1/3 cups of green chilies is needed for 1 batch,

Then, 5/6 cups of green chilies will make x batches

1/3 × x = 5/6 × 1

x = 5/6 ÷ 1/3

x = [tex]\frac{5}{6} \div \frac{1}{3}[/tex]

x = [tex]\frac{5}{6} \times \frac{3}{1}[/tex]

x = [tex]\frac{15}{6}[/tex]

x = [tex]\frac{5}{2}[/tex]

x = [tex]2\frac{1}{2}[/tex]

Hence, the number of batches Ben can make with 5/6 cup of green chilies is [tex]2\frac{1}{2}[/tex] batches of salsa.

Answer:

skp

Step-by-step explanation:

It will last Tess 14 days because 28/2=14

Answer:

BC = 20

Step-by-step explanation:

If all angles are the same then all the sides are the same; therefore, BC = AC.

Set up the equations to solve for y

-y + 23 = 6y + 2; add y to both sides

23 = 7y + 2; subtract 2 from both sides

21 = 7y; divide by 7

y = 3; now use this to substitute into term for BC = 6y + 2 = 6(3) + 2 = 18+2 = 20

Answer:

I think It would be B

Step-by-step explanation:

There is a∥b, Converse of the Alternate Interior Angles Theorem, which is the correct answer that would be an option (B).

Interior angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

Given ∠4≅∠14, which lines,

If a transversal connects two parallel lines, we know that the corresponding angles and vertically opposed angles are equivalent.

Therefore,

⇒ ∠15 = ∠3 ...(i) [Corresponding angles]

⇒ ∠15 = ∠13 ...(ii) [Vertically opposite angles]

From equations (i) and (ii), we get

⇒ ∠3 = ∠13    [Alternate interior angles]

Similarly,

⇒ ∠4 = ∠14

Hence, it is proven.

Therefore, we conclude that a∥b, Converse of the Alternate Interior Angles Theorem.

Hence, the correct answer would be an option (B).

Learn more about the Interior Angles here:

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Answer:

The slope is the rise over run. The change in y over the change in x. Pick two points on a line and find the change. It is usually represented by m in the slope intercept form.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Pick two points on a line and use the formula m to find the slope, which represents the rate of change.

Step-by-step explanation:

Answer:

$17.58

step-by-step explanation:

20+20+10+10+10+0.10+0.10+0.10+0.01+0.01= 70.32

then divide 70.32 by 4

Answer:

A. 120-112

Step-by-step explanation:

Answer:

i finally did itttt omg ty so much my dude

Step-by-step explanation:

Answer:

ty

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

you plug -7 into x

-7 x 2= -14

-14 + -5= -19

Answer:12 pounds

Step-by-step explanation:

Answer:

12 pounds hoped this helped

Answer: 2

Step-by-step explanation:

This is a direct proportion. Since y varies as x. This will be:

y = kx

where,

y = 9

x= 3

9 = 3k

k = 9/3

k = 3

Find x when y=6

y = kx

6 = 3x

x = 6/3

x = 2

Answer:

(2,4)

Step-by-step explanation:

Answer:

The possible zeros/roots of the polynomial are

[tex]x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}[/tex]

Step-by-step explanation:

[tex]h(x)=5x^3 - 5x - 10x[/tex]

[tex]h(x)=5x^3 -15x[/tex]

[tex]h(x)=5x(x^2 -3)[/tex]

When [tex]y= 0[/tex]

[tex]0=5x(x^2 -3)[/tex]

[tex]5x = 0 \implies x = 0[/tex]

[tex]x^2 - 3 = 0 \implies x=\pm\sqrt{3}[/tex]

Answer:

73 maybe

Well, it depends on how much each point is worth. However, we can make a basic assumption in the very least to get a reasonable estimate of your score, and so to do that we find how much each question is worth. So, 16+6 is 22 questions total, and 100/22= is 4.54. We can assume that if each question was weighted the same that each question will be 4.54. Now, we multiple 4.54 by 6 or the amount missed, and subtract it from 100, which is 27.24. 100-27.24 is 72.76, or 73.

Answer:

62.5%

Step-by-step explanation:

16 - 6 is 10.

16 divided by 4 is 4. 10 divided by 4 is 2 and 1/2.

4 times 25 is 100.

2 and 1/2 times 25 62.5.

Therefore, you have 62.5 percent on the test.

Answer:

4

Step-by-step explanation:

BOOM

Answer:

4 haha

Step-by-step explanation:

Answer: 20 - 16 = 4?

Step-by-step explanation:

Answer:

That dosnt sound fun, try putting one hand over the other and connect your thumbs to create a circle. Breath in and out, (in through your nose, and out trough your mouth.) Think of an open field and a summer breez, let your pain from the fight flow down a crystal river. Just try your best to take your mind off the pain, during the pandemic, we can be frustrated, another thing you can do is infinity breathing. If you want to know about that, just message me.  

Step-by-step explanation:

Oh yah, this is a form of meditation. Remember, the point isnt to block your feelings, its to let them flow through your mind, until you can think of the fight without feeling hurt, I hope this helps!