Determine the solutions of the equation |x – 3| = 11. 1. Rewrite for two solutions: (x – 3) = 11, –(x – 3) = 11 Solve for x in each equation. What are the solutions to the equation? x = –14, –8 x = –14, 8 x = –8, 14 x = 8, 14

Answer:

W÷XZ= Y

Step-by-step explanation:

isolate the variable by dividing :)

Answer:

W÷XZ= YStep-by-step explanation:

Answer:

f(x)+3 =9+3 =12

2f(x)=2*9=18

2f(x)+3= 18=3 =21

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

Answer:

X × 2 - 6

Step-by-step explanation:

"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.

Answer:

Step-by-step explanation:

its D which is 7

Answer:

work is attached and shown

The coordinates of the midpoint will be (-2,-3).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).

The midpoint will be calculated by using the formula below:-

( 8 + x ) / 2 = 3

( 8 + x ) = 6

x = -8 + 6 = -2

( -5 + y ) / 2 = -4

( -5 + y ) = -8

y =  -8 + 5 = -3

Therefore, the coordinates of the midpoint will be (-2,-3).

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Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

Answer: p=8h

Hope this helped

Step-by-step explanation:

Answer:

57/99

Step-by-step explanation:

let's set up an equation:

x = 0.5757...

set up a second equation so the numbers after the decimal places are equal

100x = 57.5757...

subtract

100x = 57.5757...

- x = 0.5757

99x = 57

divide by 99

x = 57/99

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

We have,

Let x = 0.575757... (with 57 repeatings)

Multiplying x by 100,

100x = 57.575757...

Subtracting the original x from 100x,

100x - x = 57.575757... - 0.575757...

99x = 57

To obtain x, divide both sides by 99:

x = 57/99

Dividing both the numerator and denominator by 3,

x = (57/3) / (99/3)

x = 19/33

Therefore,

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

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Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

Think about the rule when multiplying powers together.

When multiplying two powers that have the

same base, simply add their exponents.

In this problem, each power has a base

of a and our exponents are m and n.

So adding these exponents together, we have a^m + n.

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .

Answer:

$65.70

Step-by-step explanation:

She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70

Answer:

Step-by-step explanation:

B being midpoint of AC means:

BC = AB = 32

Answer:

no i dont think so

Step-by-step explanation:

1) multiply both sides by p

5/9=-10p

2) divide by -10 to get p

5/9 divided by -10/1

(keep, change flip)

5/9* -1/10

-5/90

therefore p=-5/90

Answer:

No, the answer is -18

Step-by-step explanation:

[tex]\frac{5}{9}[/tex]p = -10

[tex]\frac{5p}{9}[/tex] = -10            CROSS MULTIPLY

-90=5p             DIVIDE BOTH SIDES BY 5

-18 = p

Answer:

The total number of pages from page X to page Y is Y minus X plus 1.

So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.

Step-by-step explanation:

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

Answer:

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Step-by-step explanation:

By hit and trial method,

Given series of fractions will be,

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Since, [tex]\frac{3}{6}=\frac{3\times 1}{3\times 2}[/tex]

             [tex]=\frac{1}{2}[/tex]

[tex]\frac{7}{14}=\frac{7\times 1}{7\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

[tex]\frac{29}{58}=\frac{29\times 1}{29\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

Therefore, [tex]\frac{1}{2}=\frac{1}{2}=\frac{1}{2}[/tex] is the reduced form of the fractions.

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex] will be the answer.

Answer:

The second choice

Step-by-step explanation:

Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.

Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8

The answer is B.P=9.4 m, A 48m^2

Answer:

9 inch by 15 inch

Step-by-step explanation:

45/5=9 in

75/5=15 in

Answer:

[tex]n^{2}(-3) -8[/tex]

Step-by-step explanation:

So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.

This is what we have so far,

[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)

The term decreased means to reduce or subtract. Which means we are left with....

[tex]n^{2}(-3) -8[/tex]

Hope that helps and have a great day!

Answer:

x = 11/4

Step-by-step explanation:

[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]

Step 1: Cross-multiply.

[tex](x+8)*(8)=(6x+5)*(4)[/tex]

[tex]8x+64=24x+20[/tex]

Step 2: Subtract 24x from both sides.

[tex]8x+64-24x=24x+20-4x[/tex]

[tex]-16x+64=20[/tex]

Step 3: Subtract 64 from both sides.

[tex]-16x+64-64=20-64[/tex]

[tex]-16x=-44[/tex]

Step 4: Divide both sides by -16.

[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]

[tex]x = \frac{11}{4}[/tex]

Answer:

PT= 130

Step-by-step explanation:

Since T is the midpoint of segment PQ,

PT = TQ

7x - 24 = 6x-2

Subtract 6x both sides and add 24 both sides

7x -6x - 24 = 6x -6x -2

x - 24 + 24 = -2 + 24

x= 22

Substitue x into PT

7(22) - 24

154 - 24

PT= 130

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The equation of the line is

y = 1/4x + 5

Comparing with the general equation above

Slope / m = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point (2,-1) and slope 1/4 is

[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Hope this helps you

Answer:

I think the answer is Associative.

Step-by-step explanation:

That's Commutative (a + b = b + a)

I hope Can to Help You ^_^

Answer:

The scale factor used to draw the scaled copy is a factor of 5

Step-by-step explanation:

Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.

Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;

For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said

Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)

So the area has been scaled 25 times the original area. So how has the sides been scaled?

Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2

So in this particular case, the area is scaled by a factor of 25

Now, the scale factor of the sides will be the positive square root of this which is 5

Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter