- 1/2 (- 3/2x + 6x + 1) - 3x

Answer:

a) factors of polynomial are: (x+1)(x-2)(x-5)

b) the required polynomial in standard form is: [tex]\mathbf{x^3-6x^2+3x+10}[/tex]

Step-by-step explanation:

The polynomial has zeros at -1,2,5

Part A) Write the three factors of the polynomial

we have x=-1, x=2 and x=5 as zeros of polynomial

so factors will be:

(x+1)=0, (x-2)=0, (x-5)=0

So, factors of polynomial are: (x+1)(x-2)(x-5)

Part B) Write the polynomial in standard form

For finding polynomial, we will multiply all the factors i.e

(x+1)(x-2)(x-5)

[tex](x+1)(x-2)(x-5)\\=(x(x-2)+1(x-2))(x-5)\\=(x^2-2x+x-2)(x-5)\\=(x^2-x-2)(x-5)\\=x(x^2-x-2)-5(x^2-x-2)\\=x^3-x^2-2x-5x^2+5x+10\\=x^3-x^2-5x^2+5x-2x+10\\=x^3-6x^2+3x+10[/tex]

So, the required polynomial in standard form is: [tex]x^3-6x^2+3x+10[/tex]

Answer:

A. She spends 50% of her money on rent.

Answer: 29

Step-by-step explanation: Pic is Attached. Hope this helps.

Answer:

- 7x - 10y

Step-by-step explanation:

You add the “like” terms.

x - y - 8x - 9y

x - 8x  And - y - 9y

-7x - 10y

Answer:

-7x-10y

Step-by-step explanation:

1. Combine like terms

= x+−y+−8x+−9y

= (x+−8x)+(−y+−9y)

= −7x+−10y

Answer:

6,162.50 JA

Step-by-step explanation:

Is this true?

72.50x80= 6,162.50 JA

Answer:

42

Step-by-step explanation:

60-30%=42

Answer:

9/4

Step-by-step explanation:

Answer: c

Step-by-step explanation:it is lower price and its only 7 pounds of so the smaller bag will last you a long time about a few months

Answer:

I think the answer is the fourth one

Step-by-step explanation:

Answer:

1. x= -6

2. x= -4

3. x= -7

4. x= 33

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Rolling a die and getting a certain number will not change the chances of you getting the same number a second time. A normal die will always have a 1/2 chance of rolling an even number. However, the other answer choices will make the likelihood of getting the same type of event again slimmer as you remove one of the objects from being chosen again. An example for the first option would be drawing an ace from a deck of 52 cards where you only have 4 aces, so the chance on the first draw would have been 4/52 or a 7.7% chance while the next draw will be a 3/51 or 5.9% chance.

We need to see the "given system".

Answer:

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an "inconsistent" system of equations, and it has no solution.

Step-by-step explanation:

Answer:

The answer is A. 1385 cm2

Step-by-step explanation:

Use the formula A = pi times radius squared

Answer:

A. 1385 cm²

Step-by-step explanation:

Area of a circle is πr²

We know what the radius is, so all we have to do is plug it in.

π(21)²

π(21)²= 1385.44

Since it's approximate, it would just be 1385 cm²

Answer: what are the choices?

Step-by-step explanation:

2:9 18:4

because the answer is to short im gonna put a few letters ddjduirehfeihfehijfjrejkfe

Step-by-step explanation:

given data

we are told that there are 3 bags of  dog food

each bag contains 12 pounds

the total pound is =12*3=36 pounds

Choose True or False for each statement.

The word "group" suggests multiplication.  FALSE (A group suggest addtion)

The words "share" and "equally" suggest division. TRUE

The words "each bag" suggest multiplication. TRUE

The word "contains" suggests division. FALSE

Answer:

87

Step-by-step explanation:

Answer:

[tex]D(h) = 14 h[/tex]

He made $70 in 5 hours

Step-by-step explanation:

Given

[tex]Hourly\ Rate = \$14[/tex]

Required

Determine a function to represent the amount he made

Determine the amount made in 5 hours

To determine the function (D), we simply multiply the hourly rate by the number of hours worked (h).

So, we have:

[tex]D = Hourly\ Rate * h[/tex]

[tex]D = 14 * h[/tex]

[tex]D = 14 h[/tex]

Represent D as a function

[tex]D(h) = 14 h[/tex]

Solving (b): Amount in 5 hours

We have that

[tex]D(h) = 14 h[/tex]

In this case:

[tex]h = 5[/tex]

So, we have:

[tex]D(5) = 14 * 5[/tex]

[tex]D(5) = 70[/tex]

Hence, he made $70 in 5 hours

Answer:

1. 20 boxes cost $36. The unit rate is 1:1.8 and when you multiply 1.8 by 5 you get 9. If you also multiply 1.8 by 20 you get 36.

2.He completes 12.5 pages in 200 minutes.

200 divided by 32

multiply that answer by 2

which is 12.5.

hope it helps!

Answer:

the first answer is $36 and I'm pretty sure the second one is 64 pages

Answer:

87%

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = [tex]\frac{288}{24} = 12\ units[/tex]

Total units filled by pipe B in one hour = [tex]\frac{288}{36} = 8\ units[/tex]

Total units filled by pipe C in one hour = [tex]\frac{288}{32} = 9\ units[/tex]

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = [tex]12\times 3 =36\ units[/tex]

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = [tex]\frac{232}{29} = 8\ hours[/tex]

Total time taken = 4 + 8 = 12 hours

Answer:

6/7

Step-by-step explanation:

Answer:

b: 5/7

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

You got to find 2 points that you want and use the formula y1-y2 and x1=x2 and you find your slope.

Answer:

-13

Division

Step-by-step explanation:

divide both sides by -17 in order to find the value of x

Answer:

2 days

Step-by-step explanation:

Assume that Annie and Abby watched the same number of episodes in [tex]t[/tex] days.

Number of episodes watched by Annie [tex]=4+1(t)=4+t[/tex]

Number of episodes watched by Abby [tex]=3t[/tex]

[tex]4+t=3t\\4=3t-t\\4=2t\\t=2[/tex]

So,

Annie and Abby watched the same number of episodes in [tex]2[/tex] days

Answer:

2 1/4 Bags of potatoes

Step-by-step explanation:

1/4 = 1/9

8/4 = 2 = 8/9

9/4 = 2 1/4 = 9/9

Please mark me brainliest

Answer:

In the equation y = mx + c the value of m is called the slope, (or gradient), of the line. It can be positive, negative or zero. The value of c is called the vertical intercept of the line. It is the value of y when x = 0. When drawing a line, c gives the position where the line cuts the vertical axis.

Step-by-step explanation:

hope that helps!!!!!!

6/5x8/5

6x8 5x5

48/5x5

48/25

Decimal (1.92)

Answer:

The simplest form would be 1 23/28.

Step-by-step explanation:

Khan academy : >

Answer:

51% of 200 =

102

Step-by-step explanation:

51           x     200  =  10200

100                  1  =      100       10200/100 = 102

percentages is out of 100

Another way:

51/100 is .51 so just multiply it by 200!

.51 x 200 = 102

Hope this helps you out! :)

Answer:

Step-by-step explanation:

How you get 51% of 200 is by multiplying 51 by 200 then dividing the value of 51 times 200 by 100.

51 ⋅ 200 = 10200 ÷ 100 = 102 Steps

So, 51% of 200 equals 102 Steps

Hope this helps! <3