Two functions are shown in the table below. function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2

10 answers
Question:

Two functions are shown in the table below.
function 1 2 3 4 5 6
f(x) = −x2 + 4x + 12
g(x) = x + 2
complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 2
x = 3
x = 5
x = 6

Answers

Its x=3
i just took the test
hope this helps

F(x)=-x^2+4x+12, g(x)=x+2, If there is a solution y=y, f(x)=g(x) so we can say:

-x^2+4x+12=x+2

x^2-3x-10=0

x^2-5x+2x-10=0

x(x-5)+2(x-5)=0

(x+2)(x-5)=0, so there are two solutions to the system of equations when x=-2 and 5, now find the corresponding y values given y=x+2

y(-2)=-2+2=0  and y(5)=5+2=7 so the two solutions are the two points:

(-2,0) and (5,7)

The correct answer is x=5


Step-by-step explanation:

D) 6

Step-by-step explanation:

Step-by-step explanation:

Here are the values of each function. To get the value, just replace x with the given number

[tex]f(x) =-x^2+4x+12[/tex]

f(1)=15, f(2) = 16,f(3) = 15,f(4) =12, f(5) =7, f(6) =0

[tex]g(x)=x+2[/tex]

g(1) = 3, g(2) = 4, g(3) = 5, g(4) = 6, g(5) = 7, g(6) = 8

So, note that at x=5, f(x) = g(x) = 7

The correct option is x = 5

Please find the attached graph of the function

Step-by-step explanation:

The given functions are;

1) f(x) = -x² + 4·x + 12

2) g(x) = x + 2

The table of values are therefore;

x,        f(x),      g(x)

-7,       -65,     -5

-6,       -48,     -4

-5,       -33,     -3

-4,       -20,     -2

-3,        -9,      -1

-2,        0,        0

-1,         7,         1

0,        12,        2

1,        15,         3

2,       16,         4

3,       15,         5

4,       12,         6

5,        7,          7

6,       0,           8

Therefore the solution to the equation f(x) = g(x), occurs at x = -2 and x = 5, where  f(x) = g(x) = 0 and 7 respectively

To verify, we have;

Equating the two functions gives;

f(x) = g(x)

-x² + 4·x + 12 = x + 2

-x² + 4·x + 12 - (x + 2) = 0

-x² + 3·x + 10  = 0

(x + 2)(x - 5) = 0

x = 5 or -2

The correct option is x = 5.


[tex]Two functions are shown in the table below: Function 1 2 3 4 5 6 f(x) = -x2 + 4x + 12 g(x) = x + 2[/tex]

The other person that has commented on this made the explanation seem difficult but they were correct. I just had the same question and the answer is x=5

Step-by-step explanation:

x = 5

I think it is this answer becuase when x = 5 y = 7 for both the equations

I did the math and put it on the table below.

I hope you have a good day, and I hope this is right, if not I will try and fix it!


[tex]PLEASE HELPP! Two functions are shown in the table below. Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12[/tex]

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

5    7     7

6    0     8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

This can be done in two ways
One method is to check the answer options in both f(x) and g(x) and select the one that matches for both.
The second is to form a quadratic equation and solving as such:
f(x) = g(x)
-x² + 4x + 12 = x + 8
x² - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4; x = -1
Only x = 4 is given in the options, so the answer is B

Similar Solved Works

2 answers

Multinat is a large corporation with its headquarters in Asia. It wants to open new divisions in Africa

Multinat is a large corporation with its headquarters in Asia. It wants to open new divisions in Africa and Australia. The company wants to ensure that the new divisions follow the same policies and guidelines as the parent company. It is evident from the scenario above that Multinat wants to: Group...
1 answer

1. A coastal climate that is drier and warmer than west coast marine is known Mediterranean desert steppe

1. A coastal climate that is drier and warmer than west coast marine is known Mediterranean desert steppe European...
4 answers

How do you find the common denominator of two or more fractions.

How do you find the common denominator of two or more fractions....
3 answers

Which of the following statements must be true about this diagram? Check allthat apply.zoA. W>XB. x+y=O C. W> yD. Z> XE.

Which of the following statements must be true about this diagram? Check all that apply. zo A. W>X B. x+y= O C. W> y D. Z> X E. y + z = w F. x + y = w [tex]Which of the following statements must be true about this diagram? Check all that apply. zo A. W&[/tex]...
4 answers

In a constant-pressure calorimeter, 65.0 ml of 0.330 m ba(oh)2 was added to 65.0 ml of 0.660 m hcl. the reaction caused

In a constant-pressure calorimeter, 65.0 ml of 0.330 m ba(oh)2 was added to 65.0 ml of 0.660 m hcl. the reaction caused the temperature of the solution to rise from 23.60 °c to 28.10 °c. if the solution has the same density and specific heat as water (1.00 g/ml and 4.184 j/g·°c, respectively), w...
4 answers

Eric has $1,000 and would like to use it to start a savings program. He will add to the program regularly by investing $50 per

Eric has $1,000 and would like to use it to start a savings program. He will add to the program regularly by investing $50 per month in a liquid account. Which of the following types of accounts would be most appropriate in this situation?(A) Series EE savings bonds(B) Money market deposit account(C...
1 answer

Asquare is cut out of a copper sheet. two straight scratches on the surface of the square intersect

Asquare is cut out of a copper sheet. two straight scratches on the surface of the square intersect forming an angle theta. the square is heated uniformly. as a result, the angle between the scratches? a) increasesb) decreasesc) stays the samed) depends on whether theta is obtuse or acute...
1 answer

What can you infer about the prefix 'thermo-' from the word 'thermoregulation?' A It refers to the brain reser to the brain It

What can you infer about the prefix "thermo-" from the word "thermoregulation?" A It refers to the brain reser to the brain It refers to temperature It refers to feedback It refers to nerves and hormones...
4 answers

Classifying AnimalsQuickCheckBased on your knowledge of animals, classify the following animals as invertebrates or vertebrates.lizardInvertebrateVertebratehummingbirdoctopuslobstertigermosquito

Classifying Animals Quick Check Based on your knowledge of animals, classify the following animals as invertebrates or vertebrates. lizard Invertebrate Vertebrate hummingbird octopus lobster tiger mosquito...
8 answers

If , a=4 what is the value of the expression ? 12-a/4

If , a=4 what is the value of the expression ? 12-a/4...
3 answers

The Steering Wheel Failure Sarah buys a new car at Town and Country Motors. Justbefore her first scheduled maintenance visit (at

The Steering Wheel Failure Sarah buys a new car at Town and Country Motors. Just before her first scheduled maintenance visit (at 3,000 miles), she hears a strange noise in her steering wheel. She tells the service manager about the sound, and he notes it on the work order. After picking up the ca...
3 answers

The state or object brought about by a cause

The state or object brought about by a cause...
4 answers

11.In seven years, Seta's son Stu is leaving home for college. Seta hopes to save $8000 tohelp pay for his first year,

11. In seven years, Seta's son Stu is leaving home for college. Seta hopes to save $8000 to help pay for his first year, She has $5000 now and has found a bank that pays 7.75% interest, compounded daily. At this rate, will she have the money she needs for Stu's first year of college? If not, how mu...
8 answers

35. Word provides more than 25 picture formats -- named groups of formatting characteristics that enable

35. Word provides more than 25 picture formats -- named groups of formatting characteristics that enable you easily to change a picture’s look to a more visually appealing one. *...
6 answers

Anumber, n, is multiplied by -5/8. the product is -0.4. what is the value of n.

Anumber, n, is multiplied by -5/8. the product is -0.4. what is the value of n. [tex]Anumber, n, is multiplied by -5/8. the product is -0.4. what is the value of n.[/tex]...
4 answers

Help me ASAP for this questionEstimate the measure of angle 1.80°90°100°135°

Help me ASAP for this question Estimate the measure of angle 1. 80° 90° 100° 135° [tex]Help me ASAP for this question Estimate the measure of angle 1. 80° 90° 100° 135°[/tex]...
10 answers

What does it mean all animals are equal but some animals are more equal than others?

What does it mean all animals are equal but some animals are more equal than others?...
1 answer

Seja x é o valor que satisfaz a equação: 2(x – 3) – (x + 4) = 20. Sobre x pode-se dizer que é um número * A) ímpar.

Seja x é o valor que satisfaz a equação: 2(x – 3) – (x + 4) = 20. Sobre x pode-se dizer que é um número * A) ímpar. B) múltiplo de 7. C) múltiplo de 3. D) divisor de 10. E) quadrado de um número inteiro....
3 answers

What is the connection between Rosalind Franklins photograph n Watson and Cricks discovery of the structure

What is the connection between Rosalind Franklins photograph n Watson and Cricks discovery of the structure of DNA?...
3 answers

Tom rolls a fair dice adds the results of each workout the probability of getting less than four

Tom rolls a fair dice adds the results of each workout the probability of getting less than four...

-- 0.051589--