I know that the answer to this is all real numbers less than or equal to 5. My question is how do you solve this (without a calculator)? Given f(x) = -3x^2 +5, what is the range of the function I tried to use -b/2a but I probably did it wrong. Thanks

Answers

Answer 1
Answer: find inverse function
y = f(x) = -3x^2 + 5
write x in terms if y
x = sqrt(-(y-5)/3)
inverse function is
f-1(x) = sqrt(-(x-5)/3)

domain of inverse is the range of the function

from inverse, inside sqrt must greater than or equal to 0 so that x-5 <= 0 which is x <= 5

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what am I solving? Like what is the question?

What is the percent of increase for a population that changed from 25,000 to 30,000?

Answers

the population increased by 5 percent

14. 30/r
r = 5
Need help!?

Answers

Answer:

The expression = 6

Step-by-step explanation:

The expression is 30/r

30/r

Substitute r=5

30/5

6

What’s one way to check 102÷6 = 17

Answers

Divide and do a notebook
Check from calculator
And afterwards consult if any problems

Did you orginally use a calculator? Is so use a claculator

Which mathematical symbol would best fill in the blank to compare the two real numbers? 7.6 repeating blank square root 55

Answers

The square root of 55 is 7.4161984871. which is less than 7.6

So:

√55 < 7.6

square root of 55 is 7.4161984871. so 7.6  is biger

Which is a factor of 76? A.
4

B.
14

C.
8

D.
12

Answers

The best thing to do is to divide 76 by all of them, and if it is whole number, it is a factor.
76/4= 19
76/14= 5.438
76/8= 9.5
76/12= 6.333
As the only whole answer is 19, this means that 4 is the only multiple here
Hope this helps :) 
The factors of 76 are: 1, 2, 4, 19, 38, 76

1 × 74 
2 × 38
4 × 19

Looking at the options given, A) 4 is a factor of 76, B) 14 is not shown, so it is not a factor of 76, C) 8 is not shown either, and finally D) 12 is not a factor of 76. This means that from the options that were given, the correct answer is A) 4. 

Answer: \fbox {A) 4}