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12345 [234]
2 years ago
13

Expand using distribution: 2x(x+1)(x-5)

Mathematics
1 answer:
morpeh [17]2 years ago
5 0

Answer:

2x^3-8x^2-10x

Step-by-step explanation:

2x(x+1)(x-5)\\\\2x(x^2-4x-5)\\\\2x^3-8x^2-10x

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How are the functions f(x)=16^x and g(x)=16^(1/2)x related? The output values of g(x) are one-half the output values of f(x) for
Goshia [24]
F(x) =16ˣ     and   g(x) = 16⁽ˣ/₂⁾

Since 16 = 2⁴, then we can write:

f(x) =2⁽⁴ˣ⁾  and  g(x) = 2⁽⁴ˣ/₂⁾ = 2²ˣ

for x = 1 f(x) =  2⁴ = 16
for x = 1 g(x) = 2² = 4
(√16 = 4)

for x = 2 f(x) =  2⁸ = 256
for x = 2 g(x) = 2⁴ =16
(√256) = 16

for x = 3 f(x) =  2¹² = 4096
for x = 1 g(x) = 2⁶ =  64
(√4096 = 64)

We notice that:
The output values of g(x) are the square root of the output values of f(x) for the same value of x.
 
6 0
3 years ago
Read 2 more answers
The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the
Gennadij [26K]
Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900
7 0
3 years ago
If Sin C= 9/20, then which of the following is closest to the measure of angle C?
blondinia [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
2. Pens come in a package of 6, while notebooks
hoa [83]

Answer:

D. 5 packs of pens and 6 packs of notebooks

Step-by-step explanation:

5 packs * 6 per pack = 30 pens

6 packs * 5 per pack = 30 notebooks

5 0
3 years ago
What is the simplified form of x+3/x^2-x-12 times x-4/x^2-8x+16?
Alenkinab [10]
<span> \frac{x+3}{x^2-x-12} * \frac{x-4}{x^2-8x+16} \\= \frac{x+3}{(x-4)(x+3)}* \frac{x-4}{(x-4)(x-4)}  = \frac{1}{x-4}* \frac{1}{x-4} = \frac{1}{(x-4)^2}    *  </span><span>x-4/x^2-8x+16


Hope that helps
</span><span />
3 0
3 years ago
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