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

Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answers

B got it right on a quiz

what is the answer -v+91=261

Answers

Answer:

v = -170

Step-by-step explanation:

-v + 91 = 261

(-v + 91) - 91 = 261 - 91

-v = 170

-v / -1 = 170 / -1

v = -170

Step-by-step explanation:

(-v) +91 = 261

(-v) =91=261

(-v)=261-91

(-v)=170

v= - 170 (change the signs)

In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative

Answers

Answer:

when the coefficient of x^2 is negative

Step-by-step explanation:

1. Find the total of $18.93 with a 4.5% sales tax. *
$19.73
$38.66
$19.78
$38.71

Answers

Answer:

$19.78

Step-by-step explanation:

0.045 X 18.93 = 0.85185

0.85185 + 18.93 = 19.78

Nancy and Bill collect coins. Nancy has x coins. Bill has 3 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.​

Answers

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

pls answer quickly

which customary unit would be most appropriate to weigh an Apple

A) metric tons

B) tons

C) ounces

D) kilograms​

Answers

Answer:

Ounces

Step-by-step explanation:

Metric tons and tons is too much while kg is too little.

Answer:

its ounces

Step-by-step explanation:

Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).

Answers

Answer:

15x/2*4

Step-by-step explanation:

What is the slope of the line that passes through the points {-3,3} and {-3,13}?

Answers

Answer:

undefined

Step-by-step explanation:

Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Answer:

Step-by-step explanation:

fff

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:

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4.7.PS-10
Question Help
A company has two manufacturing plants with daily production levels of 8x + 15 items and 3x - 7
items, respectively. The first plant produces how many more items daily than the second plant?

Answers

Answer:

3x times 24 widgets

Step-by-step explanation:

An equivalent expression for16x-8

Answers

Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)

Negative 12 - negative 50

Answers

Answer:

38

Step-by-step explanation:

if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!

An airplane flies 630 miles per hour for 2,400 miles with the wind in the same amount time it flies 2,100 miles against the wind. Find the speed of the wind.

Answers

Answer:

42 mph

Have a wonderful day! Please mark me as Brainliest!

i need help please!!!!

Answers

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

Store A sells a set for $25 and offers 10% discount. Store B sells a set for $27 and offers 20% discount. Store C sells a set for $26 and offers a 15% discount. After calculating the discounted prices, place the stores in order from LOWEST to HIGHEST price for a set of paintbrushes.

Answers

Answer: store B store C store A

Step-by-step explanation: by multiplying the amount the price is with the sale which is .9 for 90% .8 for the 80% and .85 for the 85% by the previous amount you can find how much it is after the sale

please urgent i beg for help !!!!!!!!!!!!!!!!!!!! will mark brainlist

Answers

Step 2 is incorrect. Since we are flipping the numerator and denominator, the exponents sign should be the opposite! In this case, it would become -5x.

Hope this helps!

The perpendicular bisector of a line segment is called​

Answers

Answer:

Circumcenter

Step-by-step explanation:

ARAT TIETE (Simplify): V125 - V45+ V5​

Answers

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

Perform the following computation with radicals. Simplify the answer.

\sqrt{3}\cdot 2\sqrt{2}

Answers

Answer:

[tex]\sqrt{3}\cdot 2\sqrt{2}= 2 \sqrt{6}[/tex]

you can't simplify it any more

A rhombus has a side length of 6 centimeters, and a height of 2
centimeters.
What is the area of the rhombus, in centimeters??

Answers

Answer:

12 cm^2

Step-by-step explanation:

The area of the rhombus is 12 cm².

Given that, a rhombus has a side length of 6 centimetres, and a height of 2 centimetres.

We need to find the area of the rhombus, in centimetres.

What is the area of the rhombus?

The formula for the area of the rhombus when base and height are known.

The rhombus is a parallelogram. We know that the area of a parallelogram is given by multiplying base and height sq units. The same is applied to the rhombus as well. Area of a rhombus = Base × Height sq units.

Now, the area of a rhombus= 6×2=12 cm²

Therefore, the area of the rhombus is 12 cm².

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A zookeeper is monitoring the population of gazelles. The herd needs to have exactly three times more males than females to thrive. The zoo only has room for a maximum of 12 female gazelles. Let x represent the number of female gazelles and y represent the number of male gazelles. Write the constraints that represent the possible number of male and female gazelles that can live in a thriving population at the zoo. X > 0 and y > 0 0 < x ≤ 12 and 0 < y ≤ 36 0 < x ≤ 12 and y > 36 x > 0 and y < 23.

Answers

Option C is correct.

Given to us:

female gazelles[tex](x)[/tex] can be maximum of 12 only. therefore,

Condition 1 is  [tex]12\geq x>0[/tex].

while,

male gazelles[tex](y)[/tex] should be exactly 3 times more than females to thrive. therefore,

Condition 2 is [tex]36\geq y>0[/tex].

There is only one option among all the options available which is satisfying both the conditions. therefore, option C is the correct option.

To know more visit:

https://brainly.com/question/2141743

Answer:

c is the answer

Step-by-step explanation:

it took the test and got it correct

is this correct ? if not what’s the correct answer?

Answers

Answer:

yes

Step-by-step explanation:

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

plsssssssss answer it

Answers

The ANSWER to this question is c. -7

Answer:

Answer is -7

Step-by-step explanation:

coz if -2 equal only  

- answer so answer is

-7

Solve and show your work for each question...

Answers

[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]

what is the percent increase from 1 to 6

Answers

Answer: 20%

Step-by-step explanation:

1       5

100  x

100*5/1 = 20%

These steps are from a chemistry lab.

Assignment:

1. Pour 0.4 grams of salt into beaker A.

2. Add 20% of the salt from beaker A to beaker B.

3. Add 3 ounces of water to beaker B.

4. Stir the solution in beaker B.

Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?

_______________ grams

Answers

Answer: The answer to this question is 0.08. I hope this helps!

Step-by-step explanation:

0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08

Which statement best explains whether the table represents a linear or nonlinear function? (4 points)

Input Output
(x) (y)
0 1
1 2
2 4
3 16

Answers

Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)

Answers

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

Initial population = 150 birds

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Learn more on function here: https://brainly.com/question/10439235

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