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Yuliya22 [10]
3 years ago
14

We want to factor the following expre

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Step-by-step explanation:

(x - 3)^{2}  - 10(x - 3) + 25 \\  = (x - 3)^{2}  - 5(x - 3)  - 5(x - 3)+ 25 \\  = (x - 3) \{(x - 3) - 5 \} - 5 \{(x - 3) - 5 \}  \\  =  \{(x - 3) - 5 \} \{(x - 3) - 5 \}  \\  = (x - 8)(x - 8) \\  \\ another \: way \\  \\ (x - 3)^{2}  - 10(x - 3) + 25   \\ = (x - 3)^{2}  - 2 \times 5 \times (x - 3) +  {5}^{2}  \\  =  \{(x - 3) - 5 \}^{2}  \\  = \{x - 3 - 5 \}^{2}  \\  = \{x - 8 \}^{2} \\  = (x - 8)(x - 8)

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Find the average rate of change of each function over the interval [0, 2]. Match each representation with its respective average
marishachu [46]
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r=[f(2)-f(0)]/2

1) First function: h(x)
r=[h(2)-h(0)]/2
x=2→h(2)=(2)^2+2(2)-6
h(2)=4+4-6
h(2)=2
x=0→h(0)=(0)^2+2(0)-6
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r=[h(2)-h(0)]/2
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2) Second function: f(x)
A function, f, has an
x-intercept at (2,0)→x=2, f(2)=0
and a y-intercept at (0,-10)→x=0, f(0)=-10
r=[f(2)-f(0)]/2
r=[0-(-10)]/2
r=(0+10)/2
r=(10)/2
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3) Third function: g(x)
r=[g(2)-g(0)]/2
From the graph:
g(2)=6
g(0)=2
r=(6-2)/2
r=(4)/2
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4) Fourth function: j(x)
r=[j(2)-j(0)]/2
From the table:
x=2→j(2)=-8
x=0→j(0)=4
r=(-8-4)/2
r=(-12)/2
r=-6

Answer:
Pairs
1) h(x)     4
2) f(x)      5
3) g(x)     2
4) j(x)     -6
8 0
3 years ago
Help!! Would the answer be c??
Westkost [7]
The answer is a. jksksvw
4 0
3 years ago
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