MATHEMATICS HIGH SCHOOL

If f(x)= -x^2 - 1, and
g(x)=x + 5, then

g(f(x))=___x^2+___x+___
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if f(x)= -x^2 - 1, and g(x)=x + 5, then - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

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Round all the way 2689
Provide an appropriate response.39) Find a set of 7 scores that has the same mean but a smaller standard deviation than the set {65, 71, 77, 80, 82, 90, 96}.
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How would you find the zeros of the function by rewriting the function in intercept form? Ex: y=x^2-12x+32

Answers

Answer:

The zeros are x=4, 8

Step-by-step explanation:

We have been given the function  y=x^2-12x+32.

Let us write this in intercept form by factoring the given function.

We can factor it by AC method.

We can write the middle term -12x = -8x-4x

y=x^2-12x+32\ny=x^2-8x-4x+32\n\text{Now we take GCF}\n\ny=x(x-8)-4(x-8)\n\ny=(x-8)(x-4)

Now, in order to find the zeros, we have

(x-8)(x-4)=0\n\nx=4,8

Therefore, the zeros are x=4, 8
The way i do it is factor x^2-12x+32 into (x-8)(x-4) then set each of those to zero which would look like 0=x-8 and 0=x-4. Then solve each equation and your answers would be x=8 and x=4

A peregrine falcon can fly 322 km/h h. How many meters can the falcon fly.

Answers


That depends on how many fish or mice he ate yesterday, how well
he slept last night, and where he really wants to be.

From the information given in the question, the only things we can
really say for sure is that if he maintains his top speed, he will fly
322,000 meters for every hour that he keeps it up, and that he will
be one scrawny, exhausted bird when it's all over.

This is a probability question:A committee of six is to review the value of discipline in education. The committee is to be chosen randomly from 3 interest teachers, a student council of 6 students and 5 interested parents. What are the following probabilities?
a)no students are on the committee
b) The committee is made up only of students
c) There will be at least one teacher on the committee.

Answers

Im pretty sure it is b

Identify the maximum or minimum value and the domain and range of the graph of the function y = 2(x – 3)2 – 4. a. minimum value: –4
domain: all real numbers
range: all real numbers –4

b. maximum value: 4
domain: all real numbers
range: all real numbers 4

c. maximum value: –4
domain: all real numbers –4
range: all real numbers

d. minimum value: 4
domain: all real numbers4
range: all real numbers

Answers

we are given the equation y = 2(x – 3)^2 – 4 and is asked for the domain and range of the following function. In this case, there is no radical sign so the domain includes all real numbers. The range has a minimum value of -4 since the squaring makes the value on the first term positive. Hence the answer is A. 

Answer:

a. minimum value: –4

domain: all real numbers

range: all real numbers –4

Step-by-step explanation:

Is 6.52 greater than 6.490?

Answers

Yes
- - Ignore the 0
is 49 larger than 52?
No, so is 52 larger than 42?
Yes
Yes, 6.49 is less than 6.52. if rounded, the 6.49 would then be 6.50 which is still like than 6.52 by 2

Curt just drank a cup of coffee to help him stay awake. The coffee had 130 milligrams of caffeine in it. If his body processes 7% of the caffeine every hour, how much will be left in 4 hours?

Answers

Answer: 97.25 milligrams

Step-by-step explanation:

Given: Curt just drank a cup of coffee to help him stay awake.

The initial amour of caffeine in coffee= 130 milligrams

The rate of decay of caffeine in body = 7%= 0.07

We know that the exponential decay equation with rate r and and time t is given by :-

f(x)=A(1-r)^t, where A is the initial value.

Now, the amount of caffeine left in body after 4 hours is given by :-

f(4)=130(1-0.07)^4\n\n\Rightarrow\ f(4)=97.2467613\approx97.25\text{ milligrams}

Hence, after 4 hours 97.25 milligrams will be left.
After 4 hours, his body will have processed 28% because 7*4 = 28. But, you're trying to find what's left (so, subtract that % from 100)

100%-28% = 72%

Then multiply the percent left by the total number of milligrams of caffeine

130*.72 = 93.6 mg
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