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Olenka [21]
2 years ago
11

Let f(x) = 3(x - 6)^2 + 1. What is the range of f? Express your answer with interval notation.

Mathematics
2 answers:
Dafna1 [17]2 years ago
5 0
X is an element of [6,+ inf [
Lera25 [3.4K]2 years ago
3 0
F(x) = 3(x-6)²+1
This is an up-opening parabola with vertex (6,1).
Range: [1,+∞)
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1+4=5<br> 2+5=12<br> 3+6=21<br> 8+11=?
MariettaO [177]
Oh, I SEE what da pattern is! =D
You see, like in this problem:
2 + 5 = 12
They did 5 times 2 = 10, plus da 2 in da problem = 12.
Same with 3 + 6 = 21, 6 times 3 = 18, 18 plus da 3 given in da problem = 21.
Just like 1 + 4 = 5, 4 times 1 = 4, plus da 1 in da problem = 5.
SO,
with that strategy, 8 +11 = 96, because 8 times 11 = 88, plus da 8 given in da problem = 96.
I hope I helped! =D
6 0
3 years ago
ABC is an isosceles<br> AB= 3x-4 and BC= 5x-10<br><br> what is AB?
kakasveta [241]
3x-4=5x-10
Subtract 3x from both sides
-4=2x-10
Add 10 to both sides
6= 2x
X= 3
3 times 3-4
AB=5
3 0
2 years ago
Read 2 more answers
Given the equation:
Alisiya [41]

Answer:

x = 1 and x = \frac{-4}{5}

Step-by-step explanation:

In this equation, a=5, b=-1, c=-4.

Plug these into the quadratic formula:

x = \frac{1+\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}   and x = \frac{1-\sqrt{-1^{2}-(-4)(5)(-4) } }{2(5)}

Now, simplify the equations:

x = \frac{1+\sqrt{81} }{10} = \frac{1+9}{10} = \frac{10}{10} = 1

and

x = \frac{1-\sqrt{81} }{10} = \frac{1-9}{10} = \frac{-8}{10} = \frac{-4}{5}

5 0
3 years ago
-15 Assignment<br> 5x2=<br> 3
vladimir2022 [97]
Not really sure what you’re saying; but 5x2=10
6 0
2 years ago
A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt
emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0
3 years ago
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