Mathematics High School

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:

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

Write an equation for the nth term of the arithmetic sequence. Then find 230 -
-9, -6, -3,0, ...
=
a30
Helpquick

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Answer:

hope it helps you ✨✨✨✨✨✨

True or false? A figure that has opposite sides with equal lengths and equal slopes and diagonals with slopes that are negative reciprocals must be a square.

Answers

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

The given figure can be a rhombus or square.

What is square?

The square is a 4 - sided figure, each side of the square is equal and makes a right angle.

The area of a square having sided a unit can be given by a² square unit.

Given that,

A figure has equal length of opposite sides.

Also, slopes and diagonals are equal with negative reciprocals.

Since, The square and rhombus both have equal sides and equal diagonals,

But a square makes right angle on sides.

In the given question, right angle is not given.

Therefore, the figure can be square or rhombus.

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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

Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?

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The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.

Rachel finished 3/4of the race in 6 hours. How long was the entire race?

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Answer:

it will take a total of 8 hours to finish the race

Step-by-step explanation:

6h÷3/4=8

A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.

Answers

I’m not sure what you’re asking here

Answer:

the tip is $20 and the food costs $120

Step-by-step explanation:

it says that the bill is 120

when family leaves they spend 140 total

140-120=20

$20 tip

Fig rolls
normal price £1.08
buy one get 2nd half price
what is the total of three packets

Answers

Answer:

The total cost for two packets of Fig rolls is £1.62

Step-by-step explanation:

Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.

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Answer:

Step-by-step explanation:

9h + 24 = 60

40% of _______ is 16

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Answer:

Step-by-step explanation:

40/100=0.4

0.4 x 40= 16

so 40% of 40 is 16

Answer:

,40

Step-by-step explanation:

40% of 40 is equal to 16

Please help me, I do not know how to do this. I would appreciate it if you explained how you got your answer too…

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Answer:

Step-by-step explanation:

DISCLAMER THIS IS ONLY FOR POINT THIS IS NOT THE RIGHT ASWEAR

HELPP EASY MATH FOR Y GUYS IM 5 GRADE

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Answer:

Step-by-step explanation:

for number 8.) 14+8b
for number 9.) 9r-45

what does relatively prime mean in math?

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Answer:

When two numbers have no common factors other than 1.

Step-by-step explanation:

In other words there is no value that you could divide them both by exactly (without any remainder).

21 and 22 are relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 22 are 1, 2, 11 and 22

(the only common factor is 1)

But 21 and 24 are NOT relatively prime:

• The factors of 21 are 1, 3, 7 and 21

• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

(the common factors are 1 AND 3)

Relatively Prime is also called "coprime" or "mutually prime".

Here we see that 12 and 16 are NOT relatively prime

Hey help pls pls pls pls pls

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Answer:

coefficient of xwrite the equation in slope-intercept form35

Step-by-step explanation:

The value -105 is the coefficient of x.

The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.

When the equation is written in that form, it becomes ...

165 -105x +3y = 0

165 -105x = -3y . . . . subtract 3y

-55 +35x = y . . . . . . divide by -3

y = 35x -55 . . . . . . in slope-intercept form

The correct slope is 35.

Find the slope of the line that contains (−5,4) and (2,4).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

Answers

Answer:its a zero slope or you can do x2-x1 and y2-y1 and if its an even fraction try simplifying it .

Step-by-step explanation:

The slope of the coordinates is 0.

what is slope?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

So, Slope = m = tan θ

slope = (y2 - y1)/(x2 - x1)

given coordinates:

(−5,4) and (2,4)

So, slope = (y2 - y1)/ (x2 - x1)

slope = (4- 4)/ (2 - (-5))

slope = 0 / 7

slope = 0

Hence, the slope of the coordinates is 0.

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Pythagorean Thereom plz helppppppp

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Answer:

5/4

Step-by-step explanation:

tan A = opp/adj

tan A = 5/4

Answer:

[tex]tan(A)=\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(A)=\frac{5}{4}[/tex]

1 3/8+3 1/3 please
Answer

Answers

Answer:

4 17/24

Step-by-step explanation:

3/8=9/24

1/3=8/24

8+9=17

sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.

Step-by-step explanation:

this is the right answer please mark me as Brainliest

hope this helps

Write 24 as a product of prime factors.

Answer:

There is only one shape who is similar to A which is the pink one.

Step-by-step explanation:

To prepare for a bake-off, Kim used 580 grams of flour each day for 2 weeks. How many kilograms did Kim use in those 2 weeks?
1 g = 0.001 kg

Answers

Answer:

below

Step-by-step explanation:

1 day = 580g

2weeks(14days)= 580×14g

= 8,120g

1g= 0.001kg

8,120g= 8,120 × 0.001(kg)

=8.12kg

What is the slope of the line that goes through the points (1,-5) and (4,1)?

A. -4/3

B. -3/4

C. 1/2

D. 2

Answers

Answer: m = 2

Step-by-step explanation:

What we know:

The slope needs to pass through the points (1, -5) and (4, 1)There are 4 potential slopes given to us- only one is correctWe need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

Set up equation (y2 - y1) / (x2 - x1)Substitute (1 +5 ) / (4 - 1)Simplify 6 / 3Simplest form 2/ 1 =

Slope = 2

Solution: m = 2

pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS

Answers

Answer: where’s the question??

A $500 prize is shared equally between Maxwell and
Lino.
What fraction of the money does Maxwell get?

Answers

Answer:

1/2 50% $250

Step-by-step explanation:

Answer:

250$, or in fraction form, 1/2

Step-by-step explanation:

There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2

Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.

Answers

Answer:

3.416 x 10^(" + * + 1)

Step-by-step explanation:

The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect. Whatever they are, do the following:

1) multiply 5.6 times 6.1. Result = 34.16

Add the two exponents: (" + *)

The result is 34.16 x 10^(" + *)

Then move the decimal point one to the left and add 1 to the 10 exponent:

3.416 x 10^(" + * + 1)

what is the midpoint of the segment with endpoints (2,-1) and (-3,4)

Answers

Let M = midpoint of the line segment.

M = [(2 - 3)/2, (-1 + 4)/2]

M = (-1/2, 3/2)

Done.

Please help me with this question!

Answers

Answer:

a) 45/4

b) 3

c) 12

d) 24

e) no; rate of change varies

Step-by-step explanation:

The average rate of change on interval [a, b] is given by ...

m = (f(b) -f(a))/(b -a)

The function values are read from the table.

a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4

b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3

c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12

d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24

e) Not a linear function. The rate of change is not constant.

factor 6 out of [tex]6x^2[/tex] - 18

Answers

Answer:

See below

Step-by-step explanation:

6x² - 18 = 6*x² - 6*3 = 6(x² - 3)

[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]

Take 6 common in order to factor out6x^2=6(x^2)18=6(3)

[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]

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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.

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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.