expand using pascal triangle (3x+2)^4

Answer:

Step-by-step explanation:

7x - qx + 10 = t

7x - qx = t - 10

x(7 - q) = t - 10

x = (t - 10)/(7 - q)

Answer:

3. -6m-18

4. -6z+1

5. -5x-1

6.-x-4

7. ba-6b

8. 21ab-14ac+28a

9. 4x+1

10. 1/6x-4

Step-by-step explanation:

Answer:

(k/5)+12 represents the question described

The required equation is 12 + k/5.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given statement is,

12 more than quotient of a number k and 5

Converting them into numerical form,

quotient of a number k and 5 = k/5

Therefore 12 more than quotient of a number k and 5 is written as,

12 + k/5

this is the required equation for the given statement.

Thus, the required equation is 12 + k/5.

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Answer:

Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.

Step-by-step explanation: hope this help

Answer:

23.99999 rounded 30

Step-by-step explanation:

4/3 x 18

Answer:

Step-by-step explanation:

x^2 + x + 1 - 2x + 5

x^2 - x + 6

Answer:

20

Step-by-step explanation:

The perimeter of the community garden is 130 unit.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

Scale factor = 20

After Scale factor the Dimension are

l = 2 1/4 x 20 = 9/4 x 20

l = 45

and, w = 1 x 20 = 20

So, Perimeter of rectangular Garden = 2( l +w)

                                                         = 2 ( 45+20)

                                                         = 2 ( 65)

                                                         = 130 unit.

Hence, the Perimeter is 130 unit.

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Answer:

the first component of ordered pair is domain and second component is range

Answer:

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out

Answer:

Sequence A

Step-by-step explanation:

i'm assuming you mean he can wash 14 cars in one minute?

anyway the answer would be 266 but i'm pretty sure that's impossible. sorry if this isn't what you meant; try rephrasing the question :)

Answer:

i deserved these

Step-by-step explanation:

Answer: A

Step-by-step explanation:

To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.

[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex]                 [factor denominator]

[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex]      [multiply first fractioni by z-3 and second by z+3]

[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex]   [distribute by FOIL]

[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex]   [add]

[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]

This is the same as A. Therefore, A is our answer.

Answer:

rise 6 units up

Step-by-step explanation:

Answer:

6 units up

Step-by-step explanation:

Take a point

A is at  (-6,-2)

A' is at  (-6,4)

The shift is in the y coordinate of +6

This is a vertical shift

Answer:

terminating

repeating

terminating

repeating

Step-by-step explanation:

3/5 = 0.6 ; terminating

1/9 = 0.1111... ; repeating

7/10 = 0.7 ; terminating

5/12 = 0.41666666... ; repeating

Answer:

Step-by-step explanation:

f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76

g(4) = -4(4) - 1 = -16 - 1 = -17

Answer: what missing exponent?

Step-by-step explanation:

First make 15/2 a mixed number

7 1/2

Or in decimal form its 7.5.

Find the square root of 55

Around 7.4

15/2 is greater

B. yes, it's a function

Answer:

7

Step-by-step explanation:

Step 1:

18 - 5w + 7w - 4 = 28

Step 2:

14 + 2w = 28

Step 3:

2w = 14

Answer:

w = 7

Hope This Helps :)

Answer:

-3

Step-by-step explanation:

40=16-8r

Subtract 16 from both sides.

24=-8r

Now divide by -8

-3=r

Answer:

-3= r

Step-by-step explanation:

40= 16- 8r

subtract 16 from both sides

40-16= 16 - 16 -8r

24= -8r

divide both sides by -8

24/-8 = -8r/-8

-3= r

Answer:

$111.83

Step-by-step explanation:

2 pairs would be original price (35) and 2 would be half off (17.5)

35 + 35 + 17.5 + 17.5= $105

sales tax = 6.5 %

$105 * 6.5 % = 6. 825

$105 + 6.825= 111.825

round up since you cant have 825 cents

$111.83

Answer:

B

Step-by-step explanation:

Ms. Jordan's girls are divided by 3 than the girls. 12 ÷ 3 = 4

Same with Ms. Grolin. 9 ÷ 3 = 3. The answer is B.

Answer:

[tex]\boxed {\tt h=20\ inches}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

[tex]v=l*w*h[/tex]

We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.

[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]

[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]

Multiply 31 inches and 19.5 inches.

[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]

We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]

[tex]20 \ in =h[/tex]

The height of the shopping basket is 20 inches.

Answer:

Step-by-step explanation:

There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:

                      Gallons of solution    *        % salt          =         Gallons of salt

Sol 1  

Sol 2

If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so

                     Gallons of solution       *       % salt         =        Gallons of salt

Sol 1                        10                                     .11            =        1.1 gallons of salt

Sol 2                        6                                     .07           =        .42 gallons of salt

We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.

Answer: 15

Step-by-step explanation:

(5-1)^2 - (6-5)^3

(4)^2 - (1)^3

16-1

=15

Answer:

11) 2nd option

12)2nd option

13)3rd option

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14