) Match each expression with its description.

Answer:

[tex]k (3x^3 + 8x - 2) = 12x^3 + 32x - 8[/tex]

Step-by-step explanation:

Set up the composite result function.

k (F (x))

Evaluate k (F (x)) by substituting in the value of into.

[tex]k (3x^3 + 8x - 2) = 4 (3x^3 + 8x - 2)[/tex]

Apply the distributive property

[tex]k (3x^3 + 8x - 2) = 4 (3x^3) + 4 (8x) + 4(-2)[/tex]

Simplify

       Multiply 3 by 4.

            [tex]k (3x^3 + 8x - 2) = 12x^3 + 4 (8x) + 4(-2)[/tex]

       Multiply 8 by 4.

             [tex]k (3x^3 + 8x - 2) = 12x^3 + 32x + 4(-2)[/tex]

      Multiply  4 by -2.

              [tex]k (3x^3 + 8x - 2) = 12x^3 + 32x - 8[/tex]

Answer:

-24x^7

Step-by-step explanation:

(-2x^2)^3*3x =

-2x²*-2x²*-2x²*3x ( when multiply add the exponents)

= -8x^6*3x  

= -24x^7

Answer:

−24x^7

Step-by-step explanation:

Rewrite using the commutative property of multiplication.

3 (−2x2)^3x

Apply the product rule to −2x^2.

3 ((−2)^3(x^2)^3) x

Raise −2 to the power of 3.

3(−8(x^2)^3)x

Multiply the exponents in (x^2)3.

3(−8x^6)x

Multiply x^6 by  x by adding the exponents.

3 (−8x^7)

Multiply −8 by 3.

−24x^7

Answer:

do you have answeroptions?

Step-by-step explanation:

Answer:

2 1/16 converted to decimal form is 2.0625

Step-by-step explanation:

Answer:

[tex] 8\frac{3}{4} [/tex] cups.

Step-by-step explanation:

From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).

If he poured all 5 of this bottle sizes in 1 container, he would have the following:

[tex] 1\frac{3}{4} * 5 = \frac{7}{4}*5 = \frac{35}{4} [/tex]

[tex] = 8\frac{3}{4} [/tex] cups.

Answer:

27 Chickens and 3 Cows.

Step-by-step explanation:

27*2=54 (chickens), 3*4=12 (cows), 54+12=66.

Answer:

3 cows and 27 chickens?

Step-by-step explanation:

x is the number of cows and y is the number of chicken

x + y = 30

cow has 4 legs and chicken has 2 legs therefore

4x + 2y = 66

simultaneously,

x + y = 30 ⇒ x = 30 - y

substitute x = 30 - y in 4x + 2y = 66

4(30 - y) + 2y = 66

120 - 4y + 2y = 66

120 - 2y = 66

-2y = 66-120

-2y = -54

y = -54/-2

y = 27

x = 30 - 27

x = 3

Fine arts= 85 students

History= 51 students

Both subjects=23 students

Only Fine arts=85-23=62 students

Only History=51-23=28 students

Hope you found it helpful.

Answer:

31.80 in total

Step-by-step explanation:

multiply 30 by 0.0 and get 1.8, then add that o 30! hope this helps!

Answer:

Number of nickels: 14

Number of dimes: 31

Total money: $3.80

Step-by-step explanation:

Let number of nickels be x

Number of dimes is 2x+3

Total coins = 45

So add the number of nickels and dimes and it equals 45

x+2x+3=45

3x=45-3=42

x=42/3=14 nickels

Substitute the value of x=14 in 2x+3 to find number of dimes

2(14)+3=28+3=31 dimes

Total money is 14 nickels + 31 dimes

Nickels = 0.05 and dimes is 0.10

14(0.05)+31(0.10)=0.7+3.1=3.8

Answer and Step-by-step explanation: Law of deduction is a mathematical logic that states the following:

1) If p happens, then q happens;

2) p is true;

Then, a there is a third statement that is

3) q is also true.

In this question,

If a polynomial is prime, then it cannot be factored.

Statement p is that 5x + 13y is a polynomial and is prime, i.e., p is true.

Statement q is that "it cannot be factored"

Therefore, 5x + 13y cannot be factored.

The law of detachment is used to confirm or refute a claim.

The true statement is: 5x + 13y cannot be factored

The law of detachment states that; for statements p and q

(1) If p then q

(2) p

If the above statements are true, then the following statement is true

(3) q

The statements in the question can be represented as:

(1) If 5x + 3y is a polynomial and is prime then it cannot be factored

(2) It cannot be factored

Using the above representations of p and q, as an illustration; the third statement would be:

(3) 5x + 3y is a polynomial and is prime

Since the third statement is true, then we can conclude that

5x + 13y cannot be factored

Read more about law of detachment at:

https://brainly.com/question/13966470

Answer:

A is 180

B is 270

C 270

D is 90

E is 270

F is 180

G is 180

H is 90

I is 270

Step-by-step explanation:

Answer:

[tex] \boxed{\sf a. \ 6x + 5} [/tex]

Given:

f(x) = -2x + 5

To Find:

f(-3x)

Step-by-step explanation:

[tex]\sf Evaluate \ f(x) \ by \ substituting \ in \ the \\ \sf value \ of \ x = -3x \ into \ f(x): \\ \sf f( - 3x) = -2( - 3x) + 5 \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ \sf = 6x + 5[/tex]

Answer:

3(x + 1) + 6 = 33

3x+3+6=33

3x+9=33

3x=33-9

3x=24

x=24/3

x=8

Step-by-step explanation:

hope it help ^_^

Answer:

8 is the right answer of this question

Answer:

4/9

Step-by-step explanation:

from 0-1 there is 9 dashes

the red dot is on the 4th dash

Answer:

The expression was rewritten using the associative property. (6·3) · 2 equals 18 · 2, which equals 36.

6 · (3·2) equals 6 · 6, which equals 36.

Answer: True

Step-by-step explanation:

Answer:

The answer is 40.2

The approximate perimeter of the rectangle ABCD plotted below is 40.24 units.

The given coordinates are B(4,5), A(-6,0), C(8, -3) and D(-2, -8).

We need to find the perimeter of the rectangle ABCD by plotting the coordinates on the graph.

The formula to find the perimeter of the rectangle is 2(Length+Breadth).

By using the distance formula find the length and breadth of a rectangle.

That is Distance = [tex]\sqrt{(x_{2}-x_{1} )^{2} -(y_{2}-y_{1} )^{2}}[/tex] units.

Now, AB=[tex]\sqrt{(4+6)^{2}+(5-0)^{2} } =\sqrt{125}[/tex]=11.18 units

BC=[tex]\sqrt{(8-4)^{2}+(-3-5)^{2} } =\sqrt{80}[/tex]=8.94 units

Now, Perimeter=2(11.18+8.94)=40.24 units

Therefore, the approximate perimeter of the rectangle ABCD plotted below is 40.24 units.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ2

Answer:

C

Step-by-step explanation:

3(k+8)=21

3k+24=21

3k=-3

k=-1

Answer:

Step-by-step explanation:

3k + 24 = 21

3k = -3

k = -1

answer is C

Answer:

They're all like terms (x)

Answer:

they have all x

Step-by-step explanation:

Answer:

Multiply by 5

Step-by-step explanation:

Since multiplying is the opposite of dividing you would multiply by 5.

Answer:

b,a,c

Step-by-step explanation:

just took it

Answer:

1:B

2:A

3:C

is correct

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation

Multiply 5 for 2x then get 10x then -6 add for both sides 24+6= 30

10x = 30

_         _

10       10

x=3

Hey there!

[tex]3x+6*4x-1[/tex]

Let's add parenthesis to 6 and 4 and remove the multiplication sign.

[tex]3x+(6)(4)x-1[/tex]

This equals:

[tex]3x+24x+-1[/tex]

Now we have to combine the like terms.

[tex]3x+24x+-1[/tex]

Separate with parenthesis.

[tex](3x+24x)+(-1)\\Equals\\27x+-1(ANSWER)[/tex]

[tex]-TestedHyperr[/tex]

write question correctly

Answer: - 2x^2 + 4x + 3

Step-by-step explanation:

( -x^2 - 4x - 5) + ( -x^2 + 8x + 8)

Take out parentheses:

- x^2 - 4x - 5 - x^2 + 8x + 8

Write in a way so that like terms are grouped together:

- x^2 - x^2 - 4x + 8x - 5 + 8

Combine 'x^2' terms:

- 2x^2 - 4x + 8x - 5 + 8

Combine 'x' terms:

- 2x^2 + 4x - 5 + 8

Combine integers:

- 2x^2 + 4x + 3

Answer:

2x/6=42. x would have to be 126.

Step-by-step explanation:

I highly doubt you need this but stilp

Answer:

17.4

Step-by-step explanation:

To find your slope you take y2-y1/x2-x1

70-(-17)/10-5

87/5=

17.4

Hope this helps

Answer:

7:50

Step-by-step explanation:

% means /100

14 % =

[tex]14 \% \\ \frac{14}{100} [/tex]

Cross cancel common factor : 2

[tex] = \frac{7}{50} [/tex]

Write in ratio form

[tex] \frac{7}{50} \: or \: 7:50[/tex]

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Hi there!

~

[tex]14[/tex]% [tex]= \frac{5}{8}[/tex]

5/8 stays the same even if its in  simplest form​. Simplify 5/8 reduces the fraction 5/8 to the lowest form. You can change the numerator or denominator to simplify any other fraction.

❀Hope this helped you!❀

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