Factor the following expression.
12 vx?y9 + 18V3x6

Answer:

2t^2 - 37t + 171

Step-by-step explanation:

distrube the - to the (t-9) and then combine like terms

Answer:(2t2 +  27t) -  162  = 0  

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2t2+27t-162  

The first term is,  2t2  its coefficient is  2 .

The middle term is,  +27t  its coefficient is  27 .

The last term, "the constant", is  -162  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -162 = -324  

Step-2 : Find two factors of  -324  whose sum equals the coefficient of the middle term, which is   27 .

     -324    +    1    =    -323  

     -162    +    2    =    -160  

     -108    +    3    =    -105  

     -81    +    4    =    -77  

     -54    +    6    =    -48  

     -36    +    9    =    -27  

     -27    +    12    =    -15  

     -18    +    18    =    0  

     -12    +    27    =    15  

     -9    +    36    =    27    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -9  and  36  

                    2t2 - 9t + 36t - 162

Step-4 : Add up the first 2 terms, pulling out like factors :

                   t • (2t-9)

             Add up the last 2 terms, pulling out common factors :

                   18 • (2t-9)

Step-5 : Add up the four terms of step 4 :

                   (t+18)  •  (2t-9)

            Which is the desired factorization

Equation at the end of step

2

:

 (2t - 9) • (t + 18)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3/5 + 1/4 = 0.85

0.85 as a fraction is 17/20

So the answer is C

Step-by-step explanation:

x2-x-12<0

x2-x<12

x=12

Answer:

its the last one

Step-by-step explanation:

Answer:

2017 - 2019

Step-by-step explanation:

because 2019 is the largest and 2017 is the largest one from the top of the weight list

I dont know is this right

Answer:

Step-by-step explanation:

The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.

Hai!

Your answer should be A.

So so sorry if I am Wrong.

Have a good day! :3

Answer:

86

Step-by-step explanation:

Answer:

3.667

Step-by-step explanation:

I know math (and how to use a calculator)

Answer:

B. The data shows a negative correlation

Answer: 64=s3

Step-by-step explanation: V=s3

64=s3

find the cubic root of each side

3√ 64=s4=s

so the side of the cube is 4 cu in.

The surface area of a cube is

SA=nA

where SA

is surface area, n

is the number of faces, and A

is the area of one face.

Te area of one face (A) is s2 so

Answer:

8,976,421

8,974,621

8,974,612

8,976,124

8,976,214

Step-by-step explanation:

Answer:

The total number of vehicles is: x = 120

Hence, option C is correct.

Step-by-step explanation:

Total trucks that were sold in one month = 72 trucks

Let 'x' be the total number of vehicles.

Given that 60% of  the total vehicles sold were trucks.

Thus,

60% of x =  72

60/100 × x = 72

x = [72 × 100] / [60]

x = 120

Therefore, the total number of vehicles is: x = 120

Hence, option C is correct.

Answer:

C 120

Step-by-step explanation:

Have a great day

Answer:

2.5

Step-by-step explanation:

Add up all the numbers, then divide by the total amount of the numbers

1+2+3+4=10

10/4=2.5

Answer:

I think 2.5 years

Step-by-step explanation:

Since mean is the same thing as average,

I added them together

1+2+3+4 = 10

then divided by the amount of numbers there are

10÷4=2.5

Answer:

A few examples of regular polygons are a triangle, quadrilateral, pentagon, hexagon, heptagon, and a decagon.

Step-by-step explanation:

Hope it is helpful....

Answer:

3

Step-by-step explanation:

If a=7

a-4 would turn into 7-4

7-4=3

Answer:

same amount at 2 months. he'd pay 140.

Step-by-step explanation:

35(month) +35(month) =70(joining fee). 70+70=140. that's two months at the first gym.

the second gym is also 140 for the two months because each month is $70. and 70+70=140

Answer:

the answer should be 1,2,3,4 , the domain is always the x values .

Step-by-step explanation:

Answer:

y=-0.1+3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Add 295 and 41 when you get the sum. Subtract it by 360 getting 24

Answer:

b 41 c 295. value of the angle

It is this -12x+1.50

the second one

Answer:

3[4 x 0.50=

Step-by-step explanation:

so you start by multiplying 4 x 0.50= 2

and next you mines 3 and 2 and get 1

Answer:

0.3

Step-by-step explanation:

Answer:

0.0305

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

170 ÷ by how many seconds are in a minute, which is 60 seconds.

Answer:

[tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]

Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.

[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]

Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.

[tex]-\frac{18}{5} * \frac{10}{27}[/tex]

[tex]= -\frac{180}{135}[/tex]

Simplify;

= [tex]-\frac{4}{3}[/tex]

Answer:

A

Step-by-step explanation:

Because it would be how many adults times 36. And how many ever children times 15. And that total would be equal to $234