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dem82 [27]
2 years ago
15

H(x) = 3x - 5, g(x) = -2x^2 + 2x find h(g(x-1))

Mathematics
1 answer:
Brums [2.3K]2 years ago
4 0

Step-by-step explanation:

You'll get a quadratic equation so if the question allows, use your calculator to find the answer. Sorry if my writing is messed up

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Solve and receive brain list ​
liberstina [14]

Answer:

y=2

x=-1

Step-by-step explanation:

2x-4y=-10

-2x-y=0

Add Together and get:

-5y=-10

y=2

put the 2 in for y in either equation to solve for x

2x-4(2)=-10

2x-8=-10

2x=-2

x=-1

3 0
3 years ago
A soccer field is 100 meters long. What could the length in yards
Zolol [24]

Answer:

109 yards.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the inequality 18 &lt; -3(4x - 2)<br> Solve the inequality for x. <br> Show your work.
IrinaVladis [17]

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2)           Expand this to simplify

18 < (-3)(4x) - (-3)(2)             Multiply -3 with 4x and -2

18 < -12x + 6               Start isolating 'x'

18 - 6 < -12x + 6 - 6                 Subtract 6 from both sides

18 - 6 < -12x                  '+ 6' is cancelled out on the right side

12 < -12x                    Subtracted 6 from 18 on the left side

12/-12 < -12x/-12                    Divide both sides by -12

12/-12 < x                    'x' is isolated. Simplify left side

-1 < x                    Answer

x > -1             Standard formatting puts variable on the left side

6 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Please help! What is 1 1/2+1/6?<br><br> -giving out 20 points
Mice21 [21]

1  \frac{2}{3}

Hope it helps

7 0
3 years ago
Read 2 more answers
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