AB = 6x + 2 and
BC = 5x + 3
Find AC.

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:

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:

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]

☽------------❀-------------☾

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!❀

☽------------❀-------------☾

Answer:

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

Step-by-step explanation:

I highly doubt you need this but stilp

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:

-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:

[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:

b,a,c

Step-by-step explanation:

just took it

Answer:

1:B

2:A

3:C

is correct

Step-by-step explanation:

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:

72 sq. inches

Step-by-step explanation:

We are trying to find the area of the shaded part, and so we start with finding the area of the entire half that is marked (the area with measurements). The length is 8 in, as seen on the bottom, and the height is 12 in, as seen on the side. 8 * 12 = 96, so the entire portion from the shaded part to the very right is 96 sq. inches. Now we have to take out the white triangle part to find the area of the shaded part. Area of a triangle = 1/2*base * height, so we multiply 1/2 * 12 * 4, which gets us 24. Now that we know the area of the triangle, we subtract it from the previous area we got, which was the area of the shaded part plus the triangle (96). 96 - 24 = 72, so the area of the shaded portion is 72 sq. inches. Hope this helps!

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: - 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: True

Step-by-step explanation:

Answer:

They're all like terms (x)

Answer:

they have all x

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:

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

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

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:

Step-by-step explanation:

[tex]x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2[/tex]

Answer:

Multiply by 5

Step-by-step explanation:

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

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 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 —6

Step-by-step explanation:

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:

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:

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