Evaluate each function given that f(x)=3x^2-2x and g(x)= -8x-x. Give your answer in simplest form.
a) f(-9)

b) g(-3)

c) f (p+4)

Answers

Answer 1

9514 1404 393

Answer:

26127 (see comment)3p^2 +22p +40

Step-by-step explanation:

In each case, put the function argument where the variable is and do the arithmetic (or algebra).

a) f(-9) = 3(-9)^2 -2(-9) = 3·81 +18 = 261

__

b) g(-3) = -8(-3)-(-3) = 24 +3 = 27

__

c) f(p+4) = 3(p+4)^2 -2(p+4)

  = 3(p^2 +8p +16) -2p -8

  = 3p^2 +22p +40

_____

Additional comment

The form of g(x) is unusual, leading us to suspect it might be ...

   g(x) = -8x^2 -x

In that case,

  g(-3) = -8(-3)^2 -(-3) = -8·9 +3 = -69


Related Questions

I WILL GIVE BRAINLIEST

Answers

Answer: 15

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

Step 2: Multiply both sides by 5/2.

June and Sushil win some money and share it in the ratio 3:1. June gets £20 more than Sushil. How much did Sushil get?Caroline, Colin & Sarah share some money.

Answers

Answer:

£10

Step-by-step explanation:

3:1

difference in the ratio is 2 so 2 is £20

so 1 is 20/2 =10

Sushil is 1 in the ratio an 1 x 10 is 10.

this is a brief explanation.

Hope this helps x

Select the correct answer.

Which function is represented by this graph?




A.

f(x) = -|x − 1| + 8

B.

f(x) = -|x − 8| + 1

C.

f(x) = -|x + 8| − 1

D.

f(x) = -|x + 1| − 8

Answers

Answer:

C. They have the same y-intercept and the same end behavior as x approaches ∞

Step-by-step explanation:

Please helppp ASAP Content attribution
QUESTION 12 · 1 POINT
5
3m
Find the LCD for 5/m2+9m+20, 3m/m2+11m+28

Answers

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

In the algebraic fractions, the LCD is the least common denominator to find it do that:

Factorize each denominatorTake all the factors without repeating factors

Let us do that with our question

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

The factors of m² + 9m + 20 are (x + 4) and (x + 5)

Do the same with the 2nd denominator

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Please I need help with this

Answers

Answer:

I can help, but what is the equation?

The first of three numbers is one-third the value of second number. The second number is 5 less than the third number. If twice the third number is 5 less than the second number, which of the following equations could be used to find the value of the first number, if the first number is represented by x?

Answers

Answer: [tex]2(3x+5)=3x-2[/tex]  , required equation.

Step-by-step explanation:

As per given we have,

First number = [tex]\dfrac13[/tex] of second number.    (i)

Second number = Third number - 5   (ii)

2 (third number)= Second number - 5   (iii)

Put  x= first number in (i).

so, [tex]x=\dfrac13[/tex] of second number.

⇒ second number =[tex]3\times x=3x[/tex]

From (ii)

[tex]3x=[/tex] Third number - 5

⇒ Third number =[tex]3x+5[/tex]

From (iii)

[tex]2(3x+5)=3x-2[/tex]  , required equation.

find the solution set s^2=16

Answers

Answer:

4

Step-by-step explanation:

4 x 4 is 16 * dabs*

Step-by-step explanation:

=16

S=16

S=4. Because 4x4=16

hope this helps you

have a good day.

The school that Brenda goes to is selling tickets to a fall musical. On the first day of the ticket
sales the school sold 4 senior citizen tickets and 6 child tickets for a total of $76. The school
took in $23 on the second day by selling 1 senior citizen ticket and 2 child tickets. What is the
price of one senior citizen ticket and one child ticket?

Answers

We can form two equations, let the price of a senior ticket be s and the price of a child ticket be c.

We have from day 1:

A: 3s + 9c = 75

And from day 2:

B: 8s + 5c = 67

Now we can rewrite A as:

A: 24s + 72c = 600

And can rewrite B as:

B: 24s + 15c = 201

Now A-B can be written as:

A-B: 57c = 399

So c = 7

Now substituting this back into A we get:

A: 3s + 63 = 75

A: 3s = 12

So s = 4

We have the price of a senior ticket is $4 and the price of a child ticket is $7 (idk if this is right hope it is!!!)

Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)

Answers

In part B,C the coordinates are
(1/4,f(1/4)) = (1/4,-81/8)

Which shows how to calculate the number of liters he used if he used 5 cups of water?
divide 5 by 4.22
multiply 5 by 4.22
divide 5 by 1.05
multiply 5 by 1.05

Answers

Answer:

The first one is d) fluid ounces

The second one I think is c) meters

the third one I think is d) 2kg

Step-by-step explanation:

The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $956.77
B. $856.73
C. $656.77
D. $665.77

Answers

Answer:

$656.77 C

Step-by-step explanation:

$1,500-$225.30-$482.25-$135.68=

$656.77

Answer:

i think the anser is c

Step-by-step explanation:

Rewrite as a square or a cube:

3 3/8

Answers

Answer:

The Answer is 3/2 in cube number.

Step-by-step explanation:

3 3/8= 8 × 3 + 3 / 8

= 24 + 3 / 8

= 27 / 8= (3/2)^3

So , the answer is 3/2 in cube number.

Thank you ☺️☺️

Find the value of X for the image below

Geometry

Answers

Answer:

  x = 8

Step-by-step explanation:

The value of x can be found by equating the associated angle with its vertical angle. That vertical angle is the difference between the one marked 18° and the right angle.

  ∠ZJW = ∠HJZ -∠WJZ = 90° -18° = 72°

  ∠GJL ≅ ∠ZJW

  (9x)° = 72°

  x = 72/9 = 8

Randall had $75 in his bank account. He made 3 withdrawals of $18 each.

Answers

Answer:

Randall now has a negative balance

Step-by-step explanation:

Answer:

All are false I believe :)

Step-by-step explanation:

3 x 18 = 54

$75 - 3(-$18)= 129

100 POINTS AND BRAINLIEST HELP PLEASE I NEED THIS ANSWERED

Answers

Answer:

The second one should be the answer.

WILL GIVE BRAINLY AND 100 POINTS!!!


Don't answer gibberish just for points, I will report you. :D

Answers

Answer:

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.

Select from the drop-down menu to correctly complete the statement.

The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.

Correct answers:

1

45 oz less than

She brought 10 ounces of spicy popcorn for 2.50 . Which two equations represent this situation .

Answers

Answer: uhh

Step-by-step explanation:

2. trikes

A pair of dice will be rolled once. What is the probability that the number of spots on two dice is different

Answers

If there are two dice and each go to 6 you can multiply 6x6=36, there is 6 possibilities of them rolling on the same number which means it would be 6/36. Now simplify. Your answer is 1/6

100 POINTS
Find the area bounded by the curves x = 2y2 and x = 1 – y. Your work must include an integral in one variable.

Answers

Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

Which is a solution to the equation 4.82y = 156.891?
Group of answer choices

y = 161.711

y = 32.55

y = 152.071

y = 756.21462

Answers

y = 32.55

divide 156.891 by 4.82 to isolate the y.

Felica is trying to simplify the expression 9 + (8 x 9) - (18\3

Answers

Answer:

The answer is 75.

Step-by-step explanation:

First, we apply the rule of PEMDAS (or whatever order of operations rule you have learned). In this equation, we first solve inside the parentheses.

8 x 9 = 72

18/3 = 6

Now, our equation has become 9 + 72 - 6. We can solve this left to right:

9 + 72 = 81

81 - 6 = 75

Translate verbal phrases into mathematical expressions
1. The difference of gross sales and total sales
2. The sum of two numbers of less 11
3. Three fourths of 500

Thankyouuuuu !

Answers

Answer:

see i do not know 1st so i am not answer for it

Step-by-step explanation:

2nd) let 1st number be x

and second number be y

so x+y>11 or x+y<11 or x+y=11

this three can be i am not sure about this so just verify from any other source too

3rd) the ans is 500 upon(divided) by 4=125

so 125 multiply by 3 is 375

the correct ans is 375

entre los 6 y los 12 años un niño crece, en promedio, 5cm por año. Si a los 6 años Francisco media 0.96 m ¿cuanto medira a los 10½?​

Answers

Answer: 10.50

Explain:

Egg

Make a list of 15 numbers that add up to 50.

Answers

Answer:

1,1,1,1,1,1,1,2,2,4,5,6,7,8,9

Step-by-step explanation:

1+1+1+1+1+1+2+2+4+5+6+7+8+9=50

lol this took way too much time

Please I need help please

Answers

Answer:

rotation then reflection, because it reflects from 2-3 and from 1-2 it is rotated.

What is the y-intercept of the function f(x) = - 2/9x + 1/3

Answers

Answer: 1/3

Step-by-step explanation:

If the equation of a line is given in the form y=mx+b, then the y-intercept is the value of b.

A radio station gave away 184 tickets to a concert. They gave away 3 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

A.
92 tickets
B.
138 tickets
C.
74 tickets
D.
46 tickets

Answers

Answer:

D

Step-by-step explanation:

total=184 tickets

listeners= x tickets

employees=y tickets

184=x+y

x=3y

plug x into the first equation.

184=3y+y

184=4y

184/4=46

y=46

now plug y into the second equation

x=3(46)

x=138

the listeners got 138 tickets, and the employees got 46 tickets.

Write the expression [tex]sin(sin^-1 (\sqrt{3} / 2) - tan^-1 (x)[/tex] as an algebraic expression involving no trigonometric functions. You don’t need to rationalize the denominator.

Answers

Answer:

Step-by-step explanation:

[tex]let~sin ^{-1}(\sqrt{3} /2)=y\\sin y=\sqrt{3} /2=sin ~(\pi /3),sin (\pi -\pi /3)\\y=\pi /3,2 \pi /3[/tex]

[tex]sin ^{-1}(\sqrt{3} /2)=\pi /3,2\pi /3[/tex]

your question is not clear.

What is the area of the shape ?

Answers

Answer:

The Picture is of a trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7(11+3)

=49

Hence the area of the shape is 49

How can you find the least common multiple?

Answers

list the multiples of the numbers given. once you have the multiples listed, find the lowest amount they have in common.
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