MATHEMATICS HIGH SCHOOL

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:f(x) = 4x + 21

g(x) = 2x + 2

16
49
85
784

Answers

Answer 1
Answer:

The value of the required function f[g(7)] is 85.

What is a function?

A function is a relation between the input and the output of a system.

Given functions are:

f(x)= 4x + 21\ng(x)=2x+2

Therefore, the required function:

f(g(x))\n= 4g(x)+21\n= 4(2x+2)+21\n= 8x+8+21\n= 8x+29

Now,

f[g(7)]\n= 8(7)+29\n= 56+29\n= 85

Learn more about a function here: brainly.com/question/12854410

#SPJ2
Answer 2
Answer: Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

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Find the equation of this line.

Answers

Answer:

9, 10, 7, 5

Step-by-step explanation:

Step-by-step explanation:

(-4,5) and (6,4)

y2 - y1 / x2 - x1

4 - - 5/ 6 - - 4

4 + 5/ 6 + 4

y = 9/10x - 3/2

-3/2 or - 1.5 is the point where the line crossed the y-axis

A rock is placed in a graduated cylinder to determine its volume. The following data are obtained. What is the volume of the rock?Initial volume of water: 13.7 mL
Final volume of water: 28.9 mL

Answers

easy
when rock is in water, it takes up a certain volume, say x
so
initial+x=final volume
luckily we have final and inital
13.7ml+x=28.9ml
minus 13.7ml both sides
x=15.2ml


the volme of the rock is 15.2ml

Answer:

The answer is 15.2 cm ^3

The other guy was wrong. (sorry if I'm to late.)

Step-by-step explanation:

Suppose Q and R are independent events. Find P(Q and R) if P(Q) = 0.63 and P(R) = 0.48.0.0945

0.3024

0.15

1.11

Answers

Answer:

Option B is correct

0.3024

Step-by-step explanation:

Definition:

If event A and B are independent, then;

P(A \cap B) = P(A) \cdot P(B)

Given that:

Suppose Q and R are independent events.

We have to find P(Q \cap R)

It is given that:

P(Q) = 0.63 and P(R) = 0.48

then by definition we have;

P(Q \cap R) = P(Q) \cdot P(R)

Substitute the given values we have;

P(Q \cap R) =0.63 \cdot 0.48

Simplify:

P(Q \cap R) =0.3024

Therefore, the value of P(Q \cap R) is 0.3024
Hello,

Q and R are independent if p(Q and R)=p(Q)*p(R)
Here p(Q and R)=0.63-0.48=0.3024
ANSWER B

The legend on a map states that1 cm is 50 miles. If you measure
4 centimeters on the map, how
many miles would the actual
distance be?
Actual distance = [ ? ] miles

Answers

Answer:

200 miles

Step-by-step-explination

1 x 4 = 4

4 x 50 = 200

200 miles.

Answer:

200

Step-by-step explanation:

Need help solving this

A. 13

B. 9.8

C. 19

D. 8.7

Answers

AB = √(97) = 9.8

Thus the correct answer is ((B)) .

Ashley was going to sell all of her stamp collection to buy a video game. After selling half of them she changed her mind. She then bought nine more. How many did she start with if she now has 39?

Answers

Well in this problem we just have to work backwards doing everything opposite of what she did in order to get the final answer.
so she has 39 stamps at this moment. and since she bought nine more stamps lets subtract that value to see what she had before that.
 1.) 39 - 9 = 30
now she has 30. but she said that before step one she sold half of them to buy that video game. so she divided her starting number by two. so again we are going to work backwards by multiplying the number by 2:)
2.) 30 x 2 = 60!!
3.) So she started out with 60 stamps 
answer is 60:)
hope i helped
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