1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
REY [17]
3 years ago
13

.Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x

Mathematics
1 answer:
inna [77]3 years ago
8 0

For this case we have the following functions:

F (x) = 3x ^ 2 +1\\G (x) = 2x-3\\H (x) = x

We have to:

G (x) * - 1 is given by:

(2x-3) * - 1 = -2x +3

Thus, the correct option is the option is A.

On the other hand,

F (x) +G (x) = 3x ^ 2 +1 +(2x - 3) = 3x ^ 2+ 1+ 2x-3 = 3x ^ 2 +2x-2

Thus, the correct option is the option is A.

We also have:

F (-2) = 3 (-2) ^ 2+ 1 = 3 (4)+ 1 = 12+ 1 = 13

Thus, the correct option is the option is B.

Last we have:

F (3)+G (4) -2H (5) = (3 (3) ^ 2+ 1)+ (2 (4) -3) -2 (5) = (3 (9)+ 1) - (8-3) 10 = 28+ 5-10 = 33

Thus, the correct option is the option is C.

ANswer:

Option A, A, B, C

You might be interested in
David, Ben, and Jordan shared stickers in a ratio of 8 : 9 : 10. If Ben had 36 stickers, how many stickers did Jordan have?
pantera1 [17]

Answer:

Jordan had 40 stickers.

Step-by-step explanation:

For this ratio, we have David:Ben:Jordan as 8:9:10, and so we need to make it as a more complex fraction, 8/9/10, now we need a multiplier to get us from 9 stickers of Jordan to 36, like a giant one. The common multiplier in this case is 4, and we know that the values must always stay proportional. We multiply everything by 4,and we get a final ratio of 32:36:40, and since Jordan is the last in the ratio David:Ben:Jordan, Jordan ends up with 40 stickers.

3 0
3 years ago
1/2 (16x + 20) <br> Need help
KATRIN_1 [288]

Answer: let's say x = 1

16 x 1 =16

16+20=36

36x1/2=18

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa
n200080 [17]

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

p^4 - 16

Let the factor form of the polynomial is f(p). Thus,

f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2

Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0
1 year ago
It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take
nirvana33 [79]
To make it easier, you calculate the volume of the first aquarium.

1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches

Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
 
2nd aquarium's rate:
18,270 in./39 min.

As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
7 0
3 years ago
Suppose that in 20% of all traffic accidents involving an injury, driver distraction in some form (for example, changing a radio
Ghella [55]

What is your question?

6 0
3 years ago
Other questions:
  • Solve 2x = 3.<br> Round to the nearest ten-thousandth.
    11·2 answers
  • How many thirds are in one
    13·2 answers
  • The percent of fat calories that a person consumes each day is normally distributed with a mean of 37 and a standard deviation o
    11·1 answer
  • Another equation for 32x - 12.8
    11·1 answer
  • Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d
    9·1 answer
  • Help please help needed
    6·1 answer
  • 201.3 Divide by 1 .83
    15·2 answers
  • 25/100 simplified ? and if there’s any work pls show it
    11·2 answers
  • The formula for finding the length of an arc on a circle is L=277 (1360), where r is the radius of the circle and x is the measu
    8·1 answer
  • Solve for x. Round to the nearest tenth, if necessary.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!