what is the first step to solve the equation 2x - 8 = 14

Answer:

A) - 13 < x < - 1

Step-by-step explanation:

1) Rewrite the inequality without the absolute value.

[tex] - 6 < x + 7 < 6[/tex]

2) Subtract 7 from the whole equation.

[tex] - 6 - 7 < x < 6 - 7[/tex]

3) Simplify.

[tex] - 13 < x < - 1[/tex]

Therefor, the answer is the first option.

Answer:

A) –13 < x < –1

Step-by-step explanation:

|x + 7| < 6

Separate into possible cases

[tex]x + 7 < 6 \\x +7 \geq 0[/tex]

Solve the inequalities

[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]

Find the intersections

[tex]x = (-7, -1)\\x = (-13, -7)[/tex]

Find the union

Answer: A) –13 < x < –1

Answer:

WL = DC

Step-by-step explanation:

if you move the triangles to connect to eachother it would show that they are equal.

Answer:

1000

Step-by-step explanation

200+200=400

so

500+500=1000

Answer:

13

Step-by-step explanation:

do u want me to elaborate on how I found it>

Answer:

20 - x^2 + y = 28

y+9x > 28

60 / y > 28

Step-by-step explanation:

Answer:

The amplitude = 2b, and the verticle shift = 2, which means it has been shifted down 2 units.

Step-by-step explanation:

The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.

I hope I helped! :)

Would appreciate Brainliest! ;)

Answer:

1=1 whole full tank

4/4= 1

1/4 = the tank

4/4-1/4= 3/4

The amount required would be 3/4

Answer:

x = -0.35

Step-by-step explanation:

tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x

Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x

Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35

Answer:2.0%

Step-by-step explanation:

The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.

r = n[(A/P)1/nt - 1]

r = 1 × [(33,000.00/22,000.00)1/(1)(20) - 1]

r = 0.0204802

Then convert r to R as a percentage

R = r * 100

R = 0.0204802 * 100

R = 2.048%/year

The interest rate required to get a total amount of $33,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 20 years is 2.048% per year.

To learn more about compound interest refer to:

https://brainly.com/question/24274034

#SPJ2

Answer:

A

Step-by-step explanation:

In order to multiply a whole number by a fraction, you can write the whole number in fraction form. -12 can also be written as    [tex]\frac{-12}{1}[/tex].

Now you can write out    [tex]\frac{-12}{1}[/tex]  ×  [tex]\frac{20}{21}[/tex]  

Multiply the numerators by each other and the denominators by each other to create one fraction.

-12 × 20 = -240     and 1 × 21 = 21

  [tex]\frac{-12}{1}[/tex]  × [tex]\frac{20}{12}[/tex]   = [tex]\frac{-240}{21}[/tex]      and now you can simplify the fraction by finding the greatest common factor of the denominator and numerator.   -240 and 21 have the greatest common factor of 3. Divide each side by 3 and get the fraction -80/7

Answer:

3x + y^3 z

3×x+y×y×y×z

there is common 1

1(3×x+y×y×y×z)

factor =1,&(3x+y³z)

Answer:

emmm we cant graph

Step-by-step explanation:

there   isnt one. just go from the y intercept and go 2 up and 5 left.

Answer:

solution,

let width of the rectangle be x then,

length(l)=4x

Area(A)=25l

now,

area of rectangle = 4x×x

Step-by-step explanation:

in 2nd step one x cancel another in opposite side of =

Answer:

21=4 ?????

Step-by-step explanation:

huh???????????

Answer:

False

Step-by-step explanation:

1+1+2+3+3+5+4+2= 21

2+1+1= 4

You put an equal sign right smack down in the middle. 21 is not equal to 4 so this inequality is false.

Answer:

2

Step-by-step explanation:

Is there an expression you need to solve?

n = 2 so the value would be 2

Answer:

x = -18

Step-by-step explanation:

Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72

15x - 18 = 12x - 72

Add 18 to both sides: 15x = 12x - 54

Subtract 12x from both sides: 3x = -54

Divide both sides by 3: x = -18

Answer:

x= 17.666666...

Step-by-step explanation:

3(5x - 6) = 6(2x - 12)

(3 times 5x , 3 times  -6)             (6 times 2x, 6 times - 12)

15x-18 = 12x -72           (multiply insides)

-12x       -12x              (remove 12x from right side)

3x-19 = -72                (product)

   +19 = +19                (add 19 left side to remove it)

3x = 53                        (product)

x = [tex]\frac{53}{3}[/tex]                              (divide)

x= 17.666666...                (answer)

x = 17.67                     (if simplify)

Answer:

$522.50

Step-by-step explanation:

To find the price, multiply 950 by 0.55

950(0.55)

= 522.5

So, the sale price will be $522.50

Answer:

2x² +7x - 4

Step-by-step explanation:

(2x-1)(x+4)

2x² + 8x - x - 4

simplify:

2x² +7x - 4

Answer:

Answer

is B

10√2

Step-by-step explanation:

is: √200

Simplifying the given expression, we get:

200 = 2 x 2 x 2 x 5 x 5

⇒ 200 = (2)² x (5) ² x 2

Answer:

b

Step-by-step explanation:

Answer:

The cost of 8 balls is Rs $ 120.

Step-by-step explanation:

Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:

(225/15) x 8 = X

15 x 8 = X

120 = X

Thus, the cost of 8 balls is Rs $ 120.

Answer:7y=-4x+1

Step-by-step explanation:

y=mx+c

-5=-4/7(-9)+c

c=1/7

y=-4/7x+1/7

7y=-4x + 1

Answer: 472392

Step-by-step explanation:

the pattern is three times the last number e.g.

8x3=24

24x3=72

72x3=216

Then to find the 11th term you continue this pattern.

5=648

6=1944

7=5832

8=17496

9=52488

10=157464

11=472392

Answer:

percentage profit = 150%

Step-by-step explanation:

percentage profit = sp - cp/cp * 100

sp is the selling price = 60000

cp is the cost price = 24000

percentage profit = 60000-24000/24000 * 100

percentage profit = 36000/24000 * 100

percentage profit = 36000/240

percentage profit = 150%

Answer:

The Area of a circle is

[tex]\pi {r}^{2} [/tex]

Therefore the Area of Circle A is

[tex]\pi {8}^{2} \\ 201.06[/tex]

Area of Circle B is

[tex]\pi {10}^{2} \\ 314.16[/tex]

Circle C

[tex]\pi {14}^{2} \\ 615.75[/tex]

Circle D

[tex]\pi {13}^{2} \\ 530.93[/tex]

Answer:

Step-by-step explanation:

there is no tables