What is the justification for step 2 in the solution process?
12 - X= 7x+32
Step 1: -X= 7x + 20
Step 2: -8x= 20
O A. the multiplication property of equality
O B. the addition property of equality
O C. the division property of equality
OD. the subtraction property of equality

Answer:

a = - 2, b = - 6

Step-by-step explanation:

Substitute the values of the zeros into the polynomial and equate to zero.

x² +(a + 1)x + b

x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is

4 - 2a - 2 + b = 0

2 - 2a + b = 0 ( subtract 2 from both sides )

- 2a + b = - 2 → (1)

x = 3 → 3² + 3(a + 1) + b = 0, that is

9 + 3a + 3 + b = 0

12 + 3a + b = 0 ( subtract 12 from both sides )

3a + b = - 12 → (2)

Subtract (1) from (2) term by term to eliminate b

5a = - 10 ( divide both sides by 5 )

a = - 2

Substitute a = - 2 into either of the 2 equations and evaluate for b

Substituting into (2)

3(- 2) + b = - 12

- 6 + b = - 12 ( add 6 to both sides )

b = - 6

Thus a = - 2 and b = - 6

Answer:

When a figure is scaled by a scale factor greater than 1, the copy is larger than the original. When the scale factor is less than 1, the copy is smaller. This means that triangles and are scaled copies of each other.

Step-by-step explanation:

Answer:

a. It is not possible to save any money this month without having a negative actual net income.

Step-by-step explanation:

Answer:

Predict how much money can be saved without having a negative actual net income.

a.   It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT

b.   $350 can be saved resulting in an actual net income of $0.

c.   $200 can be saved resulting in an actual net income of $75.

d.   Because there is a $75 budgeted net income, that $75 can be put towards savings.

Step-by-step explanation:

See pic. Edge 2021

Answer:

95

Step-by-step explanation:

Find the mean by adding all of it and dividing it by the total of numbers,so I did that and put an extra 95 and the mean was 90,Please give me brainliest if it help

Jaylin's test grades in History class → 92, 89, 85, 89 and 90

Let the marks achieved in the final semester = x

Total marks achieved = 92 + 89 + 85 + 89 + 92 + x

                                    = 447 + x

Minimum or the average marks required in 6 semester = 90

Total marks required in 6 semesters = 90×6

                                                             = 540

447 + x = 540

x = 540 - 447

x = 93

Therefore, Jaylin should achieve minimum 93 marks in the last semester.

Learn more,

https://brainly.com/question/11153270

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]

Hope I helped!

Best regards! :D

Let a function be defined from A to B then f is said to be one to one function if every element of domain has its unique image in co- domain . In other words, if each separate elements of set A are mapped with separate of set B then such function is known as one to one function.

Answer:

x ≈ 10.6

Step-by-step explanation:

Given

[tex]\frac{13}{11}[/tex] = [tex]\frac{x}{9}[/tex] ( cross- multiply )

11x = 117 ( divide both sides by 11 )

x ≈ 10.6 ( to the nearest tenth )

Answer:

-2x -54 here is the answer

Answer:  

Step-by-step explanation:

x  ← a number

x³  ← the cube of the number

|x³|  ← the absolute value of the cube of the number

|x³| + 5    ← 5 more than the absolute value of the cube of the number

Answer:

the answer is 1 whole and 1/2

Step-by-step explanation:

1 and 1/2

Answer:

19531250

By divided it

Answer:

-3

Step-by-step explanation:

it is the smallest number on a number line which is kind of what a thermometer is

Answer:

It is -3 because I took the assignment test.

Step-by-step explanation:

The person who answered the question before me is correct.

It would be the last bubble, 4/6

hope I helped ya

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

Answer:

3.2

Step-by-step explanation:

3.2/1

Answer:

Yes, the answer is -972786042517719014174576083150881262357

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

-9.7278604e+38

thats what it would equel

Answer:

2n^3

Step-by-step explanation:

n^3 represents the cube of the number n; therefore,

"twice the cube of a number" is  2(n^3) or 2n^3

Answer:

Step-by-step explanation:

1/3 and 1/4

LCM=12

1/3*4/4 and 1/4*3/3

4/12 and 3/12

4/12*10/10 and 3/12*10/10

40/120 and 20/120

=33/130,38/120.............etc

Answer:

Step-by-step explanation:

The sum of two complementary angles is 90.

Let the two angles be x and y.

If x and y are complementary, then x+y = 90

If the larger of two complementary angles is 6 degrees less than 7 times the smaller then y = 7x-6 (y is the larger and x is the smaller)

Substituting y = 7x-6 into the formula above;

x+7x-6 = 90

8x - 6 = 90

8x = 90+6

8x = 96

x = 96/8

x = 12°

Hence the measure of the smaller angle is 12°

Answer:

Step-by-step explanation:

-5 + 7p + 14 + 11p = 18p + 9

18p + 9 = 18p + 9

0 = 0

Pedro is correct

Answer:

X=40 and y=70 if you add z you get 110 but I'm not really sure about this answer so you can also subtract it you get 30

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

your expression: 2j²

plug in j = 5: 2(5)²

solve for the exponent: 2(25)

multiply: 50

Answer: 50

Step-by-step explanation:

To evaluate the expression, you want to plug j into the expression and solve.

2(5)²               [exponent]

2(25)             [multiply]

50

After plugging in j=5, we found that the expression is equal to 50.

Answer:

Intercepts are those coordinates lying directly in either x or y-axis.

To find them: The point where the line crosses y (0, number) or x -axis (n, 0) is the intercept .

Step-by-step explanation:

Answer:

D.) ordered pairs : {(1,-1),(2,0), (3,1)}

Answer:

x=8  x=-8

Step-by-step explanation:

-3|x|=-24

Divide each side by -3

-3|x|/-3=-24/-3

|x|=8

There are 2 solutions a positive and a negative

x=8  x=-8

Answer:

a 10.21

Step-by-step explanation:

because 20 - 9.79 = 10.21

Answer:

the ans in the third one,

10.21, it shows the change

Step-by-step explanation:

20.00=c+9.79

so Pablo has 20.00 and he has to use 9.79

so if u add the change and the money he has to use, will be the money he has right now

so c = the change

so...

20.00=c+9.79

20.00-9.79=c

(so if u subtract the amount of money pablo has to pay from the money he has will be the change he will get)

10.21=c

Answer:

Answer down below!! :))

Step-by-step explanation:

For this problem, we need to ask ourselves, 7 plus what gives us 12?

7 + 5 = 12

So, therefore, X = 5

Answer:

x=5

Step-by-step explanation:

7+x=12

Minus both sides by 7

7+x=12

-7     -7

=0     =5

drop the x

x=5

I hope i could be of help to you! You're Welcome!

Answer:

[tex]d=2.65[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(-2-(-6))^2-(1-4)^2}[/tex]

[tex]d=\sqrt{(-2+6))^2-(-3)^2}[/tex]

[tex]d=\sqrt{(4)^2-9}[/tex]

[tex]d=\sqrt{16-9}[/tex]

[tex]d=\sqrt{7}[/tex]

[tex]d=2.65[/tex]