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zubka84 [21]
4 years ago
9

Simplify the expressions. Show your work.

Mathematics
1 answer:
Hunter-Best [27]4 years ago
5 0
7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36


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The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.

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Solve (x – 4)^2=5<br> Hhhhhbb
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x = 4 + sqrt(5) or x = 4 - sqrt(5)

Step-by-step explanation:

Solve for x:

(x - 4)^2 = 5

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Add 4 to both sides:

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Give an example of a system of linear equations that can be solved by first adding the equations to eliminate one variable.
telo118 [61]

f ( 7 ) = 2.4 ft

Step-by-step explanation:

Solution:-

- This is modeled using a geometric sequence function with initial height from which ball is dropped hi = 18 feet, and a decrease in height by 25% after each successive bounce :

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Where,   x e [ 0 , ∞ ) : The number of bounces.

             f (x) : The maximum height after xth bounce.

- The maximum height reached by the ball after its 7th bounce. So, x = 7:

                       f ( 7 ) = 18 (0.75)^7

                       f ( 7 ) = 2.4027 ft

- To the nearest tenth:

                     f ( 7 ) = 2.4 ft

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Kyle felt a draft of cold air. He measured a gap in a nearby window and found that it was 7/16 inches wide. Which decimal is equ
Alexus [3.1K]

0.4375.

You can simply divide 7 by 16 using long division or a calculator to get this answer.

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4 years ago
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