What value of a satisfies the following equation?

-2(a + 3) = -4a + 32

Answer:

X = 9,X= -5, a =  2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

Answer:

the answer is 4116 cm^3

area is (1/2)xbh x 14, b =27, h=21.

Answer:

4116 cm^3

Step-by-step explanation:

Answer:

l = √10 ft

Step-by-step explanation:

Using Pythagorean Theorem, a² + b² = c², where,

a = ½(2) = 1 ft

b = 3 ft

c = l

Plug in the values

1² + 3² = l²

1 + 9 = l²

10 = l²

√10 = l

l = √10 ft

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

Answer:−

1

2

+

6

4

Step-by-step explanation:−

3

4

(

4

−

2

)

Simplify

1

Combine multiplied terms into a single fraction

−

3

4

(

4

−

2

)

−

3

(

4

−

2

)

4

2

Distribute

Solution

−

1

2

+

6

Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

Answer: I think the answers below are all correct! :)

Step-by-step explanation: --> (that sign means I simplified the equation)

9-7r=-5 --> (9+5)-7r=0 --> 14-7r=0 --> 14=7r --> r=2

6x-5=4x+9 --> 6x=4x+(9+5) --> 6x=4x+14 --> 6x-4x=14 --> 2x=14 --> x=7

3(2d-1)=7d --> *multiply the parenthesis* 6d-3=7d --> -3=7d-6d -->d=-3

2(p-3)=4(3p+1) --> *multiply the parenthesis* 2p-6=12p+4 --> -10p=10 --> p=-1

___________________________________________________________

Don't know how to do the others below the boxes.

Good Luck!

Answer:

C) [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

You are going to look at the number that is both no curfew and no chores. This number will be your numerator. Your denomiantor will be the no curfew total as it is asking you how much of the no curfew students don't have chores. Once you get this number, you will simplify it and get the answer above.

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

Answer:

5x-7+8=-27

Step-by-step explanation:

5x-7+8=-27

Answer:

a = $33,500 at 6%

b = $4,000 at 5%

Detailed Answer:

37,500 = a + b

b = 37,500 - a

a = 37,500 - b

2,210 = a*6% + b*5%

2,210 = a*6% + 5%*(37,500 - a)

2,210 = a*6% - a*5% + 37,500*5%

2,210 = a*(6% - 5%) + 1,875

335 = a*( 6/100 - 5/100)

335 = a*( 1/100)

a = (335*100)/1

a = $33,500

b = 37500 - a

b = 37500 - 33500

b = 4000

Plug back in to check if the amounts invested at each rate equal $2210:

$2210 = a*6% + b*5%

$2210 = 33500*6% + 4000*5%

$2210 = $2010 + $200

$2210 = $2210

Step-by-step explanation:

[tex]a + 6 - 12 + 4 - 8 + 6 = 0 \\ a - 4 = 0 \\ a = 4[/tex]

Answer: 4+x=11

Step-by-step explanation:

4+7=11

Answer:

b

Step-by-step explanation:

The reason why Klog could not hear music through his phone was that it was chordless.

This refers to the use of words to show their double meaning and how one meaning can sound the same and mean a different thing.

Hence, we can see that from the knowledge of chords, we can see that music is written in chords and Klog's phone did not have a cord and this was the meaning of the pun to show that Klog could not listen to music because his phone did not have a cord.

Read more about puns here:

https://brainly.com/question/16017814

#SPJ2

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

Answer:

V = 488.25

Step-by-step explanation:

Formula:

V = whl

V = 10.5(15.5)(3)

V = 162.75(3)

V = 488.25

Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

Answer:

I think he just wanted the answer so there isnt free 100 pts :/

Step-by-step explanation:

Answer:

just got robed out of 10 pts tho

Step-by-step explanation:

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

61 + 5 = 66

66 / 6 = 11

11 - 22 = -11

Answer:

the answer is....

Step-by-step explanation:

-10.8333333

Answer: 2744

:)

Hope it’s right

The volume of a cube with a side length of 14 inches is 2744 cubic inches.

Side of the cube = 14 inches

The volume of a cube with side length a is a³.

So, the volume of a cube with a side length of 14=14³

The volume of a cube with a side length of 14=2744 cubic inches.

Hence, the volume of a cube with a side length of 14 inches is 2744 cubic inches.

To get more about cubes visit:

https://brainly.com/question/1972490

Answer:

2400 square feet

Step-by-step explanation:

20 x 20 = 400

400 x 6 = 2400

Hope that helps!

Answer:

-2/3

Step-by-step explanation:

(4, -1) and (-2, 3)

-1 +4 =3

4 - 6 = -2

-4/6 divided by 2/2 equals -2/3

Step-by-step explanation: D. 20

Answer:

[tex]\$2091.3[/tex]

Step-by-step explanation:

Let P denotes initial value of the product, r% is the annual depreciation rate and t denotes time period.

Depreciation (d) = [tex]P(1-\frac{r}{100})^t[/tex]

Put [tex]P=\$2,600,\,r\%=7\%,\,t=3[/tex] years

Therefore,

 [tex]d=P(1-\frac{r}{100})^t\\\\=2600(1-\frac{7}{100})^3 \\\\=2600(\frac{93}{100})^3\\\\=\$2091.3[/tex]