3. Simplify the expression (x3 - 532 +7X - 12) = (x – 4) using long division. Show your work.
Answer.

Answer:

[tex](fog)(x) = - {x}^{2} + x + 9[/tex]

Step-by-step explanation:

[tex](fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9[/tex]

I hope I helped you^_^

Answer:

the answer isA

Step-by-step explanation:

3x+1+x²-6

=3x-5+x²

=x²+3x-5

Answer:

A

Step-by-step explanation:

Answer:^3−28

Step-by-step explanation:

The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.

From the graph :

Meeting point = Halfway point :

(x1 + x2) /2 ; (y1 + y2) / 2

X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1

Y - coordinate = (2 + (-2)) /2 = 0/2 = 0

Hence, meeting point = (-1, 0)

The distance between meeting point and library :

Distance = √[(x2 - x1)² + (y2 - y1)²]

Distance = √[(4 - (-1))² + (6 - 0)²]

Distance = √(25 + 36)

Distance = √61 = 7.8 miles

Therefore, the distance between halfway point and library ls approximately 7.8 miles

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Answer:

The slope of the line. otherwise known as the gradient, can be found in the equation as the number in front of the x term.

In this case, it is - 1/2 (or -0.5, however you want to answer it)

Since the carts stick together and come to rest after the collision, the initial speed of the 3.0-kg cart is 12 m/s.

Given the following data:

To find the initial speed of the 3.0-kg cart, we would apply the law of conservation of momentum:

For a perfectly inelastic collision:

[tex]M_1V_1 - M_2V_2 = V_f(M_1 + M_2)[/tex]

When the carts stick together and come to rest after the collision, the final velocity is zero (0).

[tex]M_1V_1 - M_2V_2 = 0\\\\M_1V_1 = M_2V_2\\\\V_2 = \frac{M_1V_1}{M_2}[/tex]

Substituting the given parameters into the formula, we have;

[tex]V_2 = \frac{4(9)}{3}\\\\V_2 = \frac{36}{3}[/tex]

Initial speed = 12 m/s

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Step-by-step explanation:

(x² - 2x + 1)(x- 1)=

(x+1)^2(x-1)

Step-by-step explanation:

(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² +  2x - 1

                         = x³ - 3² + 3x - 1

Answer:

Step-by-step explanation:

d.) .7107

e.) .2185

Answer:

20°C

Step-by-step explanation:

To find the change in temperature, we can multiply the values given.

4 * 5 = 20°C

Best of Luck!

Answer:

- 17

Step-by-step explanation:

Substitute the given values into the expression

2a - 3b

= 2 × [tex]\frac{1}{2}[/tex] - 3 × 6

= 1 - 18

= - 17

Step-by-step explanation:

option E is your correct answer.

hope this helps you.

Answer:

16 inches after one year

Step-by-step explanation:

in 3/4 a year tree grew 12 inches

divide by 3

multiply by 4

16 inches

Answer:

The answer is -20x+1y-5

Step-by-step explanation:

Answer:

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 55 on the right side like this:

   7 ⟌ 5 5  

Step 2:

The divisor (7) goes into the first digit of the dividend (5), 0 time(s). Therefore, put 0 on top:

       0    

   7 ⟌ 5 5  

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

       0    

   7 ⟌ 5 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (5 - 0 = 5) and write the answer below.

       0    

   7 ⟌ 5 5  

     - 0    

       5    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 6:

The divisor (7) goes into the bottom number (55), 7 time(s). Therefore, put 7 on top:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

Step 7:

Multiply the divisor by the result in the previous step (7 x 7 = 49) and write that answer at the bottom:

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

      4 9  

Step 8:

Subtract the result in the previous step from the number written above it. (55 - 49 = 6) and write the answer at the bottom.

       0 7  

   7 ⟌ 5 5  

     - 0    

       5 5  

     - 4 9  

         6  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

Answer:

look below

Step-by-step explanation:

going left and right changes the x( first number in each parentheses)

going up and down changes the y (second number in parentheses)

going to the left by 9 means all the first numbers are going in the negative direction (-9)

going up by 12 means the second numbers are going in the positive direction (+12)

take all x values and add -9, take all y values and add 12

X (-15, 13)

Y(-5,12)

Z(-8, 15)

Answer:

5. [tex]6x^2 - x - 2[/tex]

6. [tex]9x^2 - 15x + 6\frac{1}{4}[/tex]

Step-by-step explanation:

5:

6:

Answer:

thanks for the point

GGGGGGGGGGGGGGDFHNFJYGJTG

x

Step-by-step explanation:

hhuieieieoekebebejkeeneieoekeke

Answer:

Step-by-step explanation:

The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.

s^9 ÷ s^4

s^9 is the numerator

s^4 is the denominator

s^(9 - 4)

s^5

Answer:

£7

Step-by-step explanation:

15×203_3[2

w820362

45

Answer:

The solution is 1

Step-by-step explanation:

(a^2)+b

(-2^2)+5

-4+5

1

Answer:

z=35.1

Step-by-step explanation:

Answer:

z = 351/10 or z = 35.1

Step-by-step explanation:

*Add/subtract numbers: -49 + 851 = 802

z + 802 = 100 + 21z

*Subtract 802 from both sides

z + 802 - 802 = 100 + 21z - 802

*Simplify

z = 21z - 702

*Subtract 21z from both sides

z - 21z = 21z - 702 - 21z

*Simplify

-20z = -702

*Divide both sides by -20

- 20z/20 = - 702/- 20

*Simlify

z = 351/10 or z = 35.1

Answer:

72.55 ≤ x≤ 123.40

Step-by-step explanation:

c = 16.95x + 4.75,

We have to purchase a minimum of 4 games

Let x = 4

c (4) = 16.95(4) + 4.75

c(4) =67.8+4.75 = 72.55

This is the smallest amount we will spend

The most we will purchase is 7 games

Let x = 7

c (7) = 16.95(7) + 4.75

c(7) =118.65+4.75 = 123.40

This is the largest amount we will spend

The range is

72.55 ≤ x≤ 123.40

Answer:

35000000000

Step-by-step explanation:

i used a calculator hope this helps

Answer: 3x^2

Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.

Answer:

x=22

Step-by-step explanation:

We would do the opposite so "six less" we would add 6 to 38. 6+38= 44 and "twice a number" we would divide by 2. 44 /2= 22. So the answer would be 22.

Hope this helps! :)

Answer:

Answer is 22

Step-by-step explanation:

38+6=44

44 ÷ 2= 22

:)

Answer:

g

have a great day ahead

please mark me as the brainliest

Answer:

[tex]31 - 26 = 36 - 31 = 41 - 36 \\ = 46 - 41 = 5 = d \\ yes \: it \: is \: an \: arithmetic \: sequence[/tex]

Answer:

Mega-cleaner

Step-by-step explanation:

cleaner per quart. Per means to divide.

Solve for clean-all

[tex]1 \frac{1}{2} \div 2[/tex]

convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1

[tex] \frac{3}{2} \div \frac{2}{1} [/tex]

keep chang flip

[tex] \frac{3}{2} \times \frac{1}{2} [/tex]

multiply

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

Mega -cleaner

[tex]3 \frac{1}{2} \div 4[/tex]

make an improper fraction and make 4 a fraction

[tex] \frac{7}{2} \div \frac{4}{1} [/tex]

keep change flip

[tex] \frac{7}{2} \times \frac{1}{4} [/tex]

multiply

[tex] \frac{7}{8} [/tex]

compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2

[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]

7/8 is bigger than 6/8