solve the following system of equations y=2x+10. y=3x+12

Answer:

y = -8x+9

Step-by-step explanation:

7 = -8(-2) - b

7 = 16 - b

-9 = -b

b = 9

y = -8x+9

Answer:

20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To find the system of equations that is satisfied by the solution shown on the graph, we will simply need to find the equations of our two lines.

So, we will begin by finding the slope of each line and then proceed to find the entire equation.

Red Line:

To find the slope, we will first pick any two points from the red line.

Two sample points include (-5, 5) and (-4, 6).

The slope formula is given by:

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

Lett (-5, 5) be (x₁, y₁) and (-4, 6) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{6-5}{-4-(-5)}=\frac{1}{1}=1[/tex]

Hence, the slope of the red line is 1.

Now, we can find the entire equation. We will use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We know that the slope m is 1. Hence:

[tex]y=x+b[/tex]

We need to find our y-intercept b. For the red line, we know that when x is -5, y is 5. Hence:

[tex](5)=(-5)+b[/tex]

Solving for b yields:

[tex]b=10[/tex]

Therefore, our entire equation is:

[tex]y=x+10[/tex]

Blue Line:

Again, we will find the slope first.

Picking two points, we get (0, 6) and (1, 5).

Using the slope formula by letting (0, 6) be (x₁, y₁) and (1, 5) be (x₂, y₂), we acquire:

[tex]\displaystyle m=\frac{5-6}{1-0}=\frac{-1}{1}=-1[/tex]

Hence, the slope of the blue line is -1.

Again, we can use the slope-intercept form:

[tex]y=mx+b[/tex]

Fortunately, we already know the y-intercept in this case. Since we have the point (0, 6), the y-intercept b is 6.

Therefore, our equation is:

[tex]y=-x+6[/tex]

So, our two equations are:

[tex]y=x+10\text{ and } y=-x+6[/tex]

Our answers are in standard form, so we will convert the two equations to standard form. Standard form is given by:

[tex]Ax+By=C[/tex]

Where A, B, and C are integers and A is positive.

For the first equation, we can subtract x from both sides to get:

[tex]-x+y=10[/tex]

Since A should be positive, we multiply both sides to get:

[tex]x-y=-10[/tex]

For the second equation, we can add x to both sides:

[tex]x+y=6[/tex]

Hence, our two equations in standard form is:

[tex]x+y=6\text{ and } x-y=-10[/tex]

Therefore, our final answer is D.

Answer: D x + y = 6 and x − y = -10

Step-by-step explanation:

Answer:

7 4/11

Step-by-step explanation:

this is the answer

Answer:

7  4/11

Step-by-step explanation:

81/11= 7  4/11

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

Answer:

6 cups of water

Step-by-step explanation:

3 cups of water = 6 cups of flour.

12 ÷ 6= 2

3 x 2= 6

3/6 -> 6/12

- I hope this helps have a great day

Answer:

1) q = (sq rt 15 - 2) / 3

2) d = (sq rt 3 - 1) / 4

3) m = 15 * sq rt 3

Step-by-step explanation:

1.√3q + 2 = √5

we bring to the power of 2 each element

(√3q)^2+2^2=√5^2

3q+4=5

3q=4-5

q=1/3

2.

4d+1=√3

we do the same thing

16d^2+1=3

16d^2=2

d^2=2/16

d^2=1/8

d=√1/√8

3.

m/√3 -11=4

first we rationalise by multiplying the first fraction with √3

m√3 /3-11=4

now we can bring to the power of 2

3m^2/9-121=16

3m^2/9=137

m^2/3=137

m^2=411

m=√411

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

Answer:

the answer is two because if it is 4 then you you are multiplying by 2

Answer:

C

Step-by-step explanation:

1. Let x be the odd integer. Let y be the sum.

x + (x + 1) + (x + 2) = y

3x + 3 = y

Adding two consecutive integers to an odd integer will result in an even integer.

So, you can eliminate choices B and D since they are odd.

Lastly, plug in choices A and C for y and choose the answer that makes x an integer.

Choice C would give you the correct result.

3x + 3 = 44562

3x = 44559

x = 14853

The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Let

Sum:

x + (x + 1) + (x + 2) = 44,562

x + x + 1 + x + 2 = 44, 562

3x + 3 = 44,562

3x = 44,562 - 3

3x = 44,559

x = 44,559 / 3

x = 14,853

Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.

Learn more about consecutive numbers:

https://brainly.com/question/10853762

Answer:

4 < x < 12

Took the test

Answer:

hope it helps

Step-by-step explanation:

Answer:

1. Combine like terms.

2. Subtraction.

3. Given

Next question

1. Combine like terms.

2. Addition.

3. Given

Next question

1. Addition

2. Division

3. Given

Next question

1. Distributive property

2. Addition

3. Division

4. Given

I hope "Given" means the final answer.

Answer:

y = 4x - 15

Step-by-step explanation:

Find slope (m) using of the line that passes through (7, 13) and (4, 1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 13}{4 - 7} = \frac{-12}{-3} = 4 [/tex]

Find y-intercept (b) by substituting x = 4, y = 1, and m = 4 in y = mx + b.

Thus:

1 = (4)(4) + b

1 = 16 + b

Subtract 16 from each side

-15 = b

b = -15

substitute m = 4, and b = -15 in y = mx + b, to get the equation.

The equation of the line would be:

✅ y = 4x + (-15)

y = 4x - 15

Answer:

The first term should be positive

She did not distribute the -4 properly

She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying

Step-by-step explanation:

In order to tell where she is wrong we should solve the question our selves. we are going to get the following......

[tex]-4(-3x + \frac{2}{7})= -4(-3x) + (-4)(\frac{2}{7} )= 12x - \frac{8}{7}[/tex]

So now we see that the three things she did wrong are.

The first term should be positive

She did not distribute the -4 properly

She added [tex]\frac{2}{7}[/tex] to negative -4 instead of multiplying

Hope this helps :)

Answer:

1, 4

Step-by-step explanation:

1. the product of two negatives are positive and they didn't do that, so yes.

2. the second term should NOT be positive, so they are correct on that.

3. they distributed the -4 correctly but added wrong, so they are correct on that.

4. -4+2/7=3 5/7    2/6(-4)=-4/3.  They added instead of multiplying, so they are wrong.

5.  they did simplify completely.  they just did it wrong.

Answer:

3

Step-by-step explanation:

The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3

Answer:

is c or d i think

Answer:

Therefore the final price of the table coffee which is on sale by 20% with a sales tax of 7.5% is $98.9

Step-by-step explanation:

it is $98.9

Answer:

$98.9

Step-by-step explanation:

Answer:

So true!!

Explanation:

Answer:

He is my favourite justin beber

I love him too much

Answer:

y=14+ 7x/4

x=8+ 4y/7

Step-by-step explanation:

move all terms to the side that do not contain the variable.

Answer:

[tex]\$3A[/tex]

[tex]A[/tex] denotes area of a parallelogram

Step-by-step explanation:

Given: A parking lot is in the form of a parallelogram. Per square foot cost to pave the parking lot is [tex]\$3[/tex].

To find: Total cost to pave the parking lot

Solution:

Let [tex]A[/tex] denotes area of a parallelogram.

Also,

Per square foot cost to pave the parking lot is [tex]\$3[/tex].

So,

Total cost to pave the parking lot [tex]=\$3A[/tex]