A function f(x) has x-intercepts of -3 and -5. What is the constant term in the function?
f(x) = x2 + 8x +

Answers

Answer 1

Answer:

15

Step-by-step explanation:

The x-intercepts -3 and -5 are also "roots" of the polynomial.  The corresponding factors are (x + 3) and (x + 5).  Multiply the constants together:  3*5 = 15.  This is the desired constant term.

Note that your f(x) = x2 + 8x +   should be written   f(x) = x^2 + 8x +       ...    The " ^ " denotes exponentiation.

Check:  Multiply (x + 3) and (x + 5) together and compare the result to the given polynomial with constant term 15:

f(x) = (x + 3)(x + 5) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15.  This matches!

Answer 2

Answer:

Step-by-step explanation:


Related Questions

HELP PLEASE
Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer:

(x, y) =([tex]\frac{9}{2}[/tex], -2)

um yuh?

Find each sum or difference. 31 - 42.9 =

Answers

Answer:

-11.9

Step-by-step explanation:

plz crown

Answer: 11.9

Step-by-step explanation: you have to subtract the 2 numbers

The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 2.5. What is the difference of the means?

Answers

Answer:

the difference of the mean in the case of mean absolute deviation is 2.5

Step-by-step explanation:

The computation of the difference of the mean is shown below:

Difference is of

= B - A

= 47 - 42

= 5

Now the difference of the mean is

= 5 ÷ 2.5

= 2.5

Hence, the difference of the mean in the case of mean absolute deviation is 2.5

The same would be relevant

The solid is a right hexagonal pyramid. What is the sum of the number of faces, vertices, and edges of the solid?
o7
o 12
o26
o38

Answers

Answer: 26

Step-by-step explanation: assignment on edg

Answer:

26

Step-by-step explanation:

got it right on test

2.5 ( y + 2/5) = -13

Answers

Answer:

y=  -5.6

Step-by-step explanation:

can someone help with this

Answers

C would be 18
Hyp= 2 (short leg)
15. a squared + b squared = c squared

what is the circumference of a circle with a radius of 14 centimeters

Answers

Answer:

c= πD

Step-by-step explanation:

22/7×28 =88

=88cm,

Circumference of circle = 2πr

= 2 × 22/7 × 14

= 2 × 22 × 2

= 44 × 2

= 88 cm²

Easyy!

pls help. i willl give brainliest and 100 pts!
answer it correctly and i will give them to you. promise!

Answers

Answer:

perimeter = 16x+9x+8x+11

simplified perimter = 33x+11

Step-by-step explanation:

this isnt even close to 100 pts but okay

Answer:

a. 16x + 9x + 8x + 11

b. 33x + 11 (or 11(3x + 1) if this is asking for a factored expression)

Step-by-step explanation:

Looking at the directions, part a tells us to use all 4 side lengths, so the equation for part a is 16x + 9x + 8x + 11.

Now to simplify that expression.

16x + 9x + 8x + 11

Step: Combine 16x, 9x, and 8x. I'll go from left to right.

25x + 8x + 11

33x + 11

(What you see above this statement is my answer, but work is below if this is asking for a factored expression.)

11: 1, 11

33: 1, 3, 11, 33

Now divide both 33x and 11 by 11 and put the 11 outside the parentheses.

33x/11 = 3x

11/11 = 1

11(3x + 1)

How does the graph of f(x) = 3|x+2|+4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been stretched.
C. The parent function has been compressed.
D. The parent function has been translated up.

Answers

Answer:

If the parent function is f(x)=|x+2|+4 and it is moved to the left 2 units vertically stretched by a factor of 3 and moved up by 4 units in that order because to move a function to left c units, add c to every x to vertically stretch function by a factor of c, multiply the whole function by c to move function up c units, add c to the whole function so it is 2 to the left, vertically stretched by a factor of 3 then moved up 4 units.

The points relates to parent function are:

The parent function was translated upward. The parent function was moved to the left. The parent function has been overburdened.

What is a parent function?

In mathematics, a parent function is the simplest function in a family of functions that maintains the definition of the entire family.

In graphing, the parent function is the basic equation where the graph is not transformed. A straight line, for example, has a parent function of y=x. The equations from such transformations will still be part of the family of lines if this graph is translated, reflected, rotated, or dilated.

The graph depicts the function f(x) - 3|x+2|+4.

The parent function was translated upward.

The parent function was moved to the left.

The parent function has been overburdened.

Learn more about Transformation here:

https://brainly.com/question/16089995

#SPJ7

solve 15=2y - 5 (for homework)

Answers

y=10

2×10=20-5=15

.......

Answer:

y=10

Step-by-step explanation:

15 = 2y - 5

add 5 to both sides

15 + 5 = 2y - 5 + 5

add the numbers

20 = 5y

divide

y = 10

19.3.5 Quiz: Frequency Tables
Question 2 of 5
Nurse Jackson examines immunization records for this past winter at the
school where she works.
Got flu Didn't get flu Total
Vaccinated
25
150
175
Not vaccinated 60
65
125
Total
85
215
300
How many students were not vaccinated and did not get the flu?
A. 150
B. 60
C. 65
D. 125

Answers

Answer:

The answer is C. 65

Step-by-step explanation:

You can really just do this visually ngl

A farmer planted corn in a square field. One side of the field measures 39 yards. What is the area of the cornfield?

Answers

Answer:

The area of the cornfield is 1,529 yards.

Step-by-step explanation:

In this case, since the statement indicates that it is a square field, you have to use the formula to calculate the area of a square, which is:

A=a², where:

A is the area

a is the lenght of side

The statement says that one side measures 39 yards, so this would be a, and you can replace this value on the formula:

A=39²

A=1,521

According to this, the answer is that the area of the cornfield is 1,529 yards.

3/5+1/4=
pls help !!!!!

Answers

0.85
Hope it helps you!

Please help ill give brainlest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

which of the numbers in the universe has no reciprocal?

Answers

Answer:

0 is the only number without a reciprocal

Ava has $400 on her credit card. She bought a laptop for $315, and decided to spend the rest on shirts. The unit price of shirts which are on sale is $5. Part A: Enter an inequality which represents the maximum number of shirts, s, Ava can buy. Part B: What is the maximum number of shirts Ava can buy?​

Answers

Answer:

A is 805i tink and B is for sure 17

Step-by-step explanation:

Sales Hester sells televisions. She ears a fixed amount for each television and an additional $20 if the buyer gets an extended warranty Hester sels 14
televisions with extended warranties, she earns $1,050. How much is the fixed amount Hester eams for each television?
The fixed amount Hester eams for each television she sells is $


Pleaseeee help me
Will mark brainliest

Answers

Total earned for the warranties: 14 x 20 = 280

Subtract warranty amount from total:

1050-280 = 770

Divide by total TVs:

770/14 = 55

She earns $55 per tv.

pls lmk what the vertex of this is ?

Answers

Answer:

Point U

Step-by-step explanation:

The center point of the angle

What is the value of tan x

Answers

Answer:

THE ANSWER HAS TO BE 6/10

Step-by-step explanation:

be careful there are people scamming on this app

Fran withdrew 6.4% of her savings account to put towards the purchase of a new car. If she put $2,400 down on her car, what was her savings account balance before she withdrew the money?

Answers

Answer:

$3,550 dollars

Step-by-step explanation:

6.4% off savings

- a total of $2,400

The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Let's suppose the total amount of money before withdrawing x.

It is known that x% of y is given as, (x/100)y.

Therefore,6.4% of x is (6.4/100)x = 0.064x

The 6.4% of the x is 2400

So, 0.064x = 2400

x = 2400/0.064 = $37500

Hence "The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP

Answers

Answer:30

Step-by-step explanation:

Help me, please. I really need to get past this.

Answers

Answer:

5x=180

-5. -5.

×= 175

Answer: I am pretty sure the answer is 24

Step-by-step explanation:

So since the two angles are vertical opposite angles, they are congruent angles. Then,

120 = 5x

120/5 = 5x/5

24 = x


Find the mean of the weight of rocks: 4 lbs, 6 lbs, 4 lbs, 5 lbs, 9 lbs, 8 lbs
3

Answers

Answer:

5.6 (rounded)

Step-by-step explanation:

add all the numbers, then divide by how many numbers u added :)

follow me on spotify :)

https://open.spotify.com/user/c14xhey61km1phgaq5ses8r4r?si=xTnXaHudR6qezTbWdz9dtQ

Find the surface area of the prism. Write your answer as a fraction or moxed number.​

Answers

heyuwkwejeiwiwwowwmsmekwkskejewkwisieowlwlsosews

Nick used his credit card to make several large purchases, and now owes the credit card company $4,273 plus 32% interest. His mother gave him $500 for his birthday. Which is the most responsible choice he can make regarding his birthday money?

A.
He can use all the money to pay down his credit card debt.

B.
He can invest $200 in the stock market and pay down his credit card debt with the rest.

C.
He can put $250 into a savings account that pays 3.8% interest and pay down his credit card debt with the rest.

D.
He can put all the birthday money in the 3.8% savings account.

Answers

Answer:

Step-by-step explanation:

A, because more debt would build up for your credit card if you added money to a savings account since you would have to wait a whole year to get interest back. And it wouldn't be B because it simply would not be worth it to invest in stocks while in debt. Also, I just took the test and got it right!

Wanda rode her bike 5km the first day and she rode her bike 10,000m the second day. How many meters, in total, did Wanda ride in the two days?

Answers

Answer:

there are one thousand (1,000) meters in a kilometer. So, 5,000 plus 10,000 is 15,000 meters.

Step-by-step explanation:

Brian needs to find the value of a number, a, so that when (x^2+3x) is added to the binomial (3x^2+ax), the sum simplifies to 4x^2+12x. What is the value of a?

Answers

Answer:

a = 9

Step-by-step explanation:

First we need to add  (x^2+3x)  to (3x^2+ax),

(x^2+3x)+(3x^2+ax)

Expand

= x^2+3x+3x^2+ax

Collect the like terms

= x^2+3x^2+3x+ax

= 4x^2 + 3x + ax

= 4x^2+(3+a)x

Equate the solution to 4x^2+12x

4x^2+(3+a)x = 4x^2+12x

Comparing the like terms on both sides

(3+a)x =12x

3 + a = 12

a = 12 - 3

a = 9

Hence the value of a is 9

A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?

Answers

9514 1404 393

Answer:

  $9,127.50

Step-by-step explanation:

6% of $152,125 is ...

  0.06 × $152,125 = $9,127.50

The doctor has to pay $9,127.50 in income tax.

Please can someone help me out with this- I’m really stuck on this problem and I can’t get off of it cause I failed it to much :/

Answers

I think it might be 56y^2 but I could be wrong

The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x

Answers

Answer:

x = 3 is the answer :)

hope this helps

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