1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

Answer 1

Answer:

no

Step-by-step explanation:

By the factor theorem

If (x + h) is a factor of f(x) then f(- h) = 0

Given (x + 4) with h = - 4 , then

f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1

       = - 64 - 2(16) - 20 + 1

      = - 64 - 32 - 19

      = - 115

Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)


Related Questions

Which function has the same domain as y= 2 sqrtx

Answers

Answer: the first option.

Step-by-step explanation:

Answer:

[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]

PLEASEEEE HELP FOR BRAINLIST!!!!!!!!!

Answers

Same thing as before!

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

A company makes 80 bags.
24 of the bags have buttons but no zips.
22 of the bags have zips but no buttons.
29 of the bags have neither zips nar buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

I would tell you darling but they don’t make 80 did you add a mistake to the numbers?

Why does it take 30 years to pay $150.000 lan, even though you pay $100 a month

Answers

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation:

which statement is true about the function shown in the graph?
please help and only answer if you're for sure it's correct​

Answers

Answer:

the function is increasing

Which quadratic equation has roots -7 and -4?

Answers

Answer:

the given set of solutions {−7,4} is y=x2+3x−28 y = x 2 + 3 x - 28 .

Determine the sign of the leading coefficient

Answers

Answer:

negative

Step-by-step explanation:

The graph falls to both the left and right, so the leading coefficient has to be negative, and it must be raised to an even power.

solve pls brainliest

Answers

Answer:

Yes

Yes

Yes

No

No

Step-by-step explanation:

-42/6 = -7

17/18 = 0.9444444 (4 repeating)

Integers = whole numbers whether negative or not, but it does not have a decimal.

Combine like terms to create an equivalent expression.
-2.5(4x−3)

Answers

Answer:

-10x+7.5

Step-by-step explanation:

Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6

gradient =
intercept =

Q2.
y = 2 - 2x

gradient =
intercept=

Answers

Answer:

gradient 10, intercept 6gradient -2, intercept 2

Step-by-step explanation:

The "gradient" is the coefficient of x. The "intercept" is the constant.

__

Q1

gradient: 10

intercept: 6

__

Q2

gradient: -2

intercept: 2

Q1.

For the line equation Y = 10x + 6:

The gradient is the coefficient of x, which is 10.

The intercept is the constant term, which is 6.

Q2.

For the line equation y = 2 - 2x:

The gradient is the coefficient of x, which is -2.

The intercept is the constant term, which is 2.

Learn more about line equation here:

https://brainly.com/question/30600659

#SPJ11

what are the answers to the equation please get back to me

Answers

Answer:

A

Step-by-step explanation:

Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5

A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase

Answers

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

is zero a rational number?​

Answers

Yes 0 is a rational number

Answer:

yes

Step-by-step explanation:

we know that every integer is a rational number and Zero can be represented as the ratio of two integers.

What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.

Answers

The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

12 (–1.4m + 0.4) = m + 0.2

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

Learn more on expressions here: https://brainly.com/question/22048677

The pumpkin patch is open ever day. If it sell 2,750 pounds of pumpkins each day, about how many pounds does it sell in 7 days?

Answers

Answer:

19,250 I think.

Step-by-step explanation:

2,750 x 7 19,250

2750x 7 =19250 pounds

What is the scale factor that takes the large triangle to the small triangle?

Answers

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

​George has $3 in his savings account. He then adds $4 per day to the account. Let y represent the total amount in the account after x days.

Which equation represents this situation in the form of y=mx+b ?

Question 9 options:

y = 4x + 3


y = 3x + 4


y = 3/4x - 3


y = 4/3x - 4

Answers

Answer:

The answer is the 1st option, y = 4x + 3

Step-by-step explanation:

x is the amount of days that the 4 dollars will be multiplied by

( 4 * x )

The + 3 is the money that George already had in his savings account, so that money will be added to the total amount in his savings account.

( 4x + 3 )

Lastly, the y stands for the total amount of money in his savings account so the answer is the 1st option.

y = 4x + 3

Hope this helps! :)

Find the value of x?

Answers

Answer:

x = 40

Step-by-step explanation:

measure of the angles = 1/2( outside arc - inside arc)

       x/2 = 1/2[x + 70 - (x + 30)]

       x/2 = 1/2 ( x + 70 - x - 30)

       x/2 = 1/2 (40)

       2(x/2) = 2(1/2)(40)

            x = 40

Please solve the equation below.

2x+4=3(x-4)

Answers

Answer:

x=16

Step-by-step explanation:

[tex]\sf 2x+4=3(x-4)[/tex]

[tex]\sf 2x+4=3x-12[/tex]

[tex]\sf 2x+4-4=3x-12-4[/tex]

[tex]\sf 2x=3x-16[/tex]

[tex]\sf 2x-3x=3x-16-3x[/tex]

[tex]\sf -x=-16[/tex]

[tex]\sf \cfrac{-x}{-1}=\cfrac{-16}{-1}[/tex]

[tex]\sf x=16[/tex]

Question:-

solve the equation below :-

2x+4=3(x-4)

Answer:-

x = 16

Explanation:-

=> 2x+4 = 3(x-4)

=> 2x+4 = 3x-12

=> 2x+4 - 4 = 3x-12 - 4 (Subtract 4 on both the sides)

=> 2x = 3x-16

=> 2x-3x = -16

=> -x = -16

=> -x/-1 = -16/-1

=> x = 16

Help me with the whole thing pls

Answers

Answer:

B and 90%

Step-by-step explanation:

4500 = m•5000

m = 0.9 × 100%

90% of the books are fiction

Find the equation to the line below.​

Answers

Answer: [tex]y=\frac{-3}{4}x-3[/tex]

Ok done. Thank to me :>

Helppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

what is 2X ( 3)+( 1)+( 2)+=

Answers

Step-by-step explanation:

work out the brackets first

hey i am just clueless

Answers

Answer:

x = 14

y = 6

Step-by-step explanation:

*Property*

In a parallelogram:

Opposite sides are equal.

Since, the given figure is a parallelogram we can apply this property and equate:

1) 2y + 1 = 13 2) x = y + 8

1) 2y + 1 = 13

subtracting 1 from both sides:

=> 2y + 1 - 1 = 13 - 1

=> 2y = 12

dividing both sides by 2:

=> 2y/ 2 = 12/ 2

On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator

On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:

=> y = 6

2) x = y + 8

We've got the value of y from equation 1).

Substituting it here:

=> x = 6 + 8

=> x = 14

Answer:

Hence, we got the values of x and y as:

[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]

Jason and Mateo went to eat at Sam's Sub Shop. They spent $12.25 for lunch plus 8% tax. If they split the bill evenly, what was the price that each person paid

Answers

Answer:

answer 26

ok now help me

4➗64
4 divided by 64

Answers

Answer:

The answer for your problem will be 0.0625

25 added to the difference between Y and 7

Answers

Answer:

(y-7) +25

Step-by-step explanation:

( y-7 ) +25

25 is added after the difference. so that's only the answer.

PLEASE HELP!!!!!!.....

Answers

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

✌️❤️✌️

Help help help help math math

Answers

Answer:

48 ft 2

Step-by-step explanation:

The radius is 4 ft because it is half of the diameter.

3 * 4^2 = 3 * 16 = 48

1,348.439 rounded to the nearest one’s

Answers

Answer:

1348

Step-by-step explanation:

1348 give brainliest please
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