(2t2 - 36t + 162). - (t-9)

Answers

Answer 1

Answer:

2t^2 - 37t + 171

Step-by-step explanation:

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

Answer 2

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:


Related Questions

Need help ASAP !!
( I accidentally clicked an answer )

Answers

Answer:

b

Step-by-step explanation:

not 100% sure but i think it is b

Need more information

Find the 25th term in the arithmetic sequence: 23, 223, 423, 623,...

Answers

Answer:

Step-by-step explanation:

Assuming that 23 is the first term

4823

25th term of arithmetic sequence is 4,823

Given arithmetic sequence:

23, 223, 423, 623,...

Find:

25th term of arithmetic sequence

Computation:

First term a = 23

Common difference d = A2 - A1

Common difference d = 223 - 23

Common difference d = 200

Number of term n = 25

So,

An = a + (n - 1)d

A25 = 23 + (25 - 1)(200)

A25 = 23 + (24)(200)

A25 = 23 + 4,800

A25 = 4,823

Learn more:

https://brainly.com/question/18109692?referrer=searchResults

Help This isnt super hard but yeah

Answers

Answer:

Kappa

Step-by-step explanation:

The y-intercept is the start weight. Mochi is 1 and Kappa is 2.

Hope this helps.

Kappa is heavier. He weighed 2 pounds at birth, while Mochi weighed only 1 pound

HELP me help help help help

Answers

2x+79+32=180
2x+111=180
2x=69
x=34.5

Answer:

(I'll edit this when I get home with the answer)

Step-by-step explanation:

As you see here, draw a line like that, and than each of those 2 triangles have 3 angles that get to 180° in total, so just make an equation of the 3 angles that equals to 180° and than solve for the variable there

In WXY y=3.6 w=6 and X=147

Answers

Answer:

[tex]wxy = 6 \times 147 \times 3.6 \\ = 3175.2[/tex]

What’s the value of x

Answers

Answer:

C. x=42

Step-by-step explanation:

16 + 3x + y = 180

126 + 16 + y = 180

y = 38

16 + 3x + 38 = 180

54 + 3x = 180

3x = 126

x=42

Is the equation y=3x in slope-intercept form? Explain. The equation y=3x in slope-intercept form. Question 2 The slope is and the y-intercept is a .

Answers

Given:

The given equation is

[tex]y=3x[/tex]

To find:

Whether the given equation is in the slope intercept form or not, then find the slope and y-intercept.

Solution:

Slope intercept form of a linear function is

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=3x[/tex]    

It can be written as

[tex]y=3x+0[/tex]               ...(ii)

On comparing (i) and (ii), we get

[tex]m=3,b=0[/tex]

Therefore, the given equations is in slope intercept form. The slope of the line is 3 and the y-intercept is 0.

The number of bacteria in a petri dish culture triples every two days. Initially there were 250 bacteria present. Which equation models the number of bacteria B after T days?

A. B=250•3^t+2

B. B=250•3^2t

C. B= 250•3^t/2

D. B=250•3^t^2

please only respond if you know the answer :)

Answers

Answer:

B

Step-by-step explanation:

B = 250 * 3^2t


On Tuesday Gabriella bought ten posters, On Wednesday half of all the posters that she had were destroyed.
On Thursday there were only 19 left. How many did she have on Monday?

Answers

28 posters
May God bless you and your family

please help! (URGENT)

Answers

Answer:

x=8

Step-by-step explanation:

you gotta trust me bro its 8

) Multiply. What is the product
(3 x 10^9) * (2 x 10^17) in scientific notation?​

Answers

Answer:

6 ×10^26

hope it helped

have a good day mate

Answer:

6x10^26

Step-by-step explanation:

Pleaseeee help !!!!!!​

Answers

Answer:

Step-by-step explanation:

its B

Answer:

b

Step-by-step explanation:

3(9x + 14) = 3 * 9x + 3 * 14 = 27x + 42

when we ordered pizza, 75% of the class wanted pepperoni. of 21 people wanted pepperoni, how many people are in the class

Answers

Answer:

28 people

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASEEE

Answers

Answer:

a. 45 degrees

b. 315 degrees

c. 8π

d. π

e. 7π

f. 16π

g. 2π

The ratio of the measure of the three angles of a triangle is 3:4:8. Find the mesure of the large angle

Answers

Answer:

96°

Step-by-step explanation:

Ratio of angles :

3 : 4 : 8

Sum of angles in a triangle = 180°

The value of the largest angle = angle with the largest ratio

This is the value of the angle with ratio 8

Sum of ratio : (3 + 4 + 8) = 15

Hence,

(8 / 15) * 180°

(8 * 180°) / 15

1440 / 15

= 96°

a 24 ft ladder is leaning against a 20 ft building, what is the distance between the bottom of the ladder and the base of the building?

Answers

The distance at the base is 4 feet. Hope this helps.

give me the most DETAILED explanation.

6 + 6 - 6 x 6 ÷ 6 = ?

Answers

6+6-6*1

6+6-6

12-6

6 is the answer

Solve the equation
x2 + 4x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.​

Answers

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2) x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{11}[/tex]

Then

x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )

x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )

Do anyone know this answers

Answers

Answer:A. 20 B. 70 C.20 D. 70 E. 70

Step-by-step explanation:

Hope this helps!

a:20
b:70
c:20
d:70
e:110

Step by step:

E + 70 = 180 thus, E = 110

A + 70 = 90 thus, A = 20

A + B = 90 thus, B = 70; because A would be equal to 20

B + C = 90 thus, C = 20; because both sides are 90 degrees

E + D = 180 thus, D = 70; because E would be equal to 110

Find the measure of <BAC​

Answers

Answer:

56 degrees

Step-by-step explanation:

Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers must be divisible by 9?

Answers

Answer:18

Step-by-step explanation:

Can you explain how you got the answer too because I don’t understand

Answers

Answer:

60

Step-by-step explanation:

The whole thing is 180 so if you subtract 180 from 120 you get 60.

Answer:

60 degrees since a straight line is 180 degrees

Step-by-step explanation:

Since part of it is 120 degrees the other part must be 60 because 120 + 60 = 180

The number of inches in c feet is.

Answers

Answer:

this didn't make sense

Step-by-step explanation:

can u explain it again sorry

C= 100 in Roman numeral

1) the volume of right circular cone is 9856cm² . if the diameter of the base is 28cm , find height of cone .​

Answers

The height would be 48.02

HELP
HELP
ITS HARD
pls pls pls pls pls

Answers

you have to do the amount of hay one horse can eat times by how many horses there are. then you have to do that times the amount of days to see how much hay they ate overall. so that’s 21x20x14, which is 21(20x14) and that equals 5880. so the answer is C and the blank is 5880. hope this helps!

The cost for an eighth-grade party is $450 for room rental, entertainment, and
decorations, plus $20 per person for food. Tickets for the party are sold for $25. What is
the break-even point?

Answers

how many people????????????

hiiiii! ok plz plz help!!!! i’ll mark brainlist first answer! also know that ur worth every breath! <3

marco and his friends brought game tokens for $15 and three admission tickets to fun palace. let t represent the cost of an admission ticket. determine if each statement below is true or false.

b. if each admission ticket costs $2.50, then marco and his friends spent $22.50 in all. TRUE OR FALSE????

Answers

Answer: True

Step-by-step explanation:

Cost = 15 + 3t

22.5 = 15 + 3(2.5)

22.5 = 15 + 7.5

22.5 = 22.5 <— true

Answer:

true

Step-by-step explanation:

2.50 x 3 = 7.50

15 + 7.50 = 22.50

22.50 = 22.50

Geometry Substitution

I’m confused on how to substitute can someone give me a step by step explanation! Please

Answers

Answer:

x = 3

Step-by-step explanation:

I have attached a picture of me explaining you step by step.

Hope this helps, thank you !!


please help me

give u 10pts ​

Answers

Answer:

The graph is not a function.

Step-by-step explanation:

Using the "vertical line test" to attach a vertical line to each of the points on the graph, we will find that the vertical line that passes through (0,0) has ot one, but two points on it. Remember, if the vertical line passes through more than one points, the graph is not a function. As we know, the vertical line passes through two points, those being (0, -4) and (0, -3). So, we can conclude that the graph is not a function.

If a retailer has an item that is priced at $3.54 and wants to sell it for 20% less, the markdown will be _____.

Answers

Answer:

KNMOJAO0 GPR5PWQ3]

Step-by-step explanation:

vgjaseh jvgofrAQ vfjswA

Answer:

:)

Step-by-step explanation:

well if u take 3.54 x 20%, you get 0.708 or 70 cents.. so i’m guessing 70 cents.

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