help:) Factor f(x) = 4x^3+ 23x^2- 70x + 16 into linear factors given that - 8 is a zero of f(x).

Help:) Factor F(x) = 4x^3+ 23x^2- 70x + 16 Into Linear Factors Given That - 8 Is A Zero Of F(x).

Answers

Answer 1

Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

      ---------------------------------

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

 


Related Questions

the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base and height​

Answers

Answer:

Step-by-step explanation:

triangle area = (length*width)/2

height(length): x

base(width): 8x

area = 45

8x^2=45

solve for x

2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.

Answers

I believe the resistance of the new wire with a diameter of 8 will be 1.06 repeating or 1.07 ohms rounded up. 0.4 ohms divided by 3 millimeters is roughly 0.13 so 0.13 times 8 is roughly 1.06 or 1.07 rounded up.

A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

What is 414 divided by 15? SHOW YOUR WORK!!

Answers

Answer:

the answer would be 27.6.

Step-by-step explanation:

sorry for the horrible handwriting, hopefully u can understand this!!

what are vowels in numbers ​

Answers

hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...

Answer:

the letter "u" and "e"

Step-by-step explanation:

vowels in english are: a, e, i, o, u

hope this helped but if you have any others questions, please feel free to let me know!

What is the value of x?

Answers

Answer:

I believe it is x+3..

Step-by-step explanation:

Answer:

x = 5

which agrees with the first answer option listed

Step-by-step explanation:

Use the proportionality associated with similar triangles, considering that the larger triangle has sides:

x + (x+5) = 2 x + 5

and

(x+1) + (x-2) = 2 x - 1

and the smaller triangle:

x   and  (x-2)

The we build the following proportionality:

(2 x + 5) / x  = (2 x - 1) / (x - 2)

cross multiply to eliminate denominators:

(2 x + 5) (x - 2) = x (2 x - 1)

operate:

2 x^2 - 4 x + 5 x -10 = 2 x^2 - x

combine like terms:

2 x^2 + x -10 = 2 x^2 - x

subtract 2 x^2 from both sides:

x - 10 = - x

add x to both sides:

2 x  -10 = 0

add 10 to both sides

2 x= 10

divide both sides by 2:

x = 5

which agrees with the first answer option listed

Ashley can run 12 miles in 2 hours. At this rate, how many minutes does it take Ashley to run 1 mile?

Answers

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

It takes 10 minutes for Ashley to run 1 mile.
12 miles / 12 miles = 1 mile
2 hours equals 120 minutes
120 minutes / 12 miles = 10 minutes per mile

If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?

PLEASE ANSWER

Answers

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8.                   9*2=18,4*2=8

Answer:

The width of the rectangle is 8.

Step-by-step explanation:

I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.

HOPE IT HELPS :)

Carbon is found in ALL of these materials seashells, wood, plants, and water.
Group of answer choices

True

False

Answers

Answer:

True because Plants need Carbon Air to grow. Seashells are made of tiny carbon atoms, Wood is 50% carbon and water is H20 known as Hydrogen and Oxygen. Water DOES have some Carbon in it! It gets the Carbon Dioxide from the rain!

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

Answers

f(x)=-4(x-3)^2+16

first, simply each term

4x^2-24x+36+16

then add 36 to 16

4x^2-24x+52

If you answer I’ll give brainliest and points

(Question in photo!)

Answers

Answer:

c

Step-by-step explanation:

Answer:

KKKK

Step-by-step explanation:

Which of the following sets of numbers can be the lengths of the sides of a triangle? ​

Answers

Answer:

A. 2.6, 8.1, 10.2

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.

Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?

16 hours
18 hours
24 hours
32 hours

A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *

0.5 cm
4.5 cm
75 cm
225 cm

The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *

$10.00
$10.50
$13.50
$16.00

Answers

Step-by-step explanation:

1. 200 = 10h

320 =

320x10 / 200

= 16h

2. 1.5 = 50m

x = 150 m

150x1.5 / 50

= 4.5cm

3. 4$ = 40balls

x = 100balls

100x4 / 40

= $10

The answer to the first one is 16 hours. This is because it is 20 pages per hour, then when you divide 320 by 20, you get 26.
Hope this helps. I was to lazy to do the others.

I NEED HELP ASAP PLZ!!!!
A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3.

There are eight more large marbles than small marbles. How many total marbles are in the bag? [Type your answer as a number.]

Answers

Answer:

There would be four small marbles and twelve large marbles so your answer should be sixteen marbles in total

Step-by-step explanation:

A six sided cube is rolled. What is the probability of getting a 3 and then a 4, givrn the first number rolled was 3.

Answers

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2,9) and
B (6, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
The equation is y =

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

A(2, 9)

B(6, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{6-2}[/tex] = - 2

AB ⊥ AD ⇒ [tex]m_{AD}[/tex] = [tex]\frac{1}{2}[/tex]

A(2, 9)

y - 9 = [tex]\frac{1}{2}[/tex] (x - 2)

y = [tex]\frac{1}{2}[/tex] x + 8

What is the standard form of y –7 = – 23 (x + 1)

Answers

Answer:

23x+y=-16

Step-by-step explanation:

Simplify: –6(2x – 5)


–12x – 30


–12x + 30


12x – 30


12x + 30

Answers

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

1.)How many people chose superman or thor?
2.) How many people chose Thor than The Hulk?
3.) How many more people chose Thor than Batman?​

Answers

Answer:

40% chose superman or thor

8% chose thor more than hulk

And 12% chose batman than Thor

Answer:

1) 40% of people chose Superman or Thor

2) 8% more people chose Thor than The Hulk

3)  15% more people chose Thor than Batman

Step-by-step explanation:

29 + 11 + 13 + 13 + 21 = 86

100 - 86 = 14

Batman: 14%

29 + 11 = 40

29 - 21 = 8

29 - 14 = 15

f(x)=-x^3 find the end behavior of function

Answers

Answer:

What is X its fiesty

Step-by-step explanation:

fdsfa

Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .

Answers

Answer:

$4.80

Step-by-step explanation:

6 oranges for 1.80

sp 6 divided by 1.80 comes out to 0.3 per orange

0.3 times 16 comes out to 4.80

therefor $4.80

Answer:

$4.80

Step-by-step explanation:

1.80/6=0.3

0.3=$0.30 for each orange

16×0.3=4.8

4.8=$4.80 for 16 oranges

Please help it’s due

Answers

1 = 70

2 = 20

3 = 70

4 = 20

5 =110

You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. What will be the balance in the account?

Answers

Answer: At the end of 10 years, your savings will have grown to $9,407.

Step-by-step explanation: You will have earned in $2,407 in interest.

A baby weighed 7.5 pounds at birth. At the end of 11 months, the baby weighed 2 times its birth weight. How many pounds did the baby weigh at the end of 11 months?​

Answers

Answer:

15. yessir thats itbro


A. X=1
B. X=3
C. X= 1,3
D. X= 0,3

Answers

Ccccccccccccccccccccc
The answer is A, X=1
Hope this helps

Which Statement about 4(x-3) is True? Giving Brainliest

Answers

Answer:

A I think that is the ans

Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.

Answers

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

[tex]f(x)=2x^2-20x+100[/tex]

Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

[tex]9^2+1^2=82[/tex]

[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

Learn more:

https://brainly.com/question/1625850?referrer=searchResults

Mr. Earl E. Bird leaves his house for work at exactly 8:00 a.m. every morning. When
he averages 40 miles per hour, he arrives at his workplace three minutes late. When
he averages 60 miles per hour, he arrives three minutes early.

Answers

Answer:

50 miles per hour

Step-by-step explanation:

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

*i had trouble wording that so yeah sorry about that*

find the slope of the line that passes through the point (-5,3) and (5,-3).​

Answers

Answer:

-6/10  or  -0.6

Step-by-step explanation:

m=y2-y1/x2-x1

-3-3=(-6)

5-(-5)=10

-6/10

hope this helps :3

if it did pls mark brainliest

I WILL MARK BRAINIEST

Answers

Answer:

m<4= 60

m<1=60

m<3=30

Step-by-step explanation:

I'd like to explain but I would be very difficult to do with out being in person

Answer:

m1 = 60°

m2 = 90°

m3 = 30°

m4 = 60°

Step-by-step explanation:

m<5 + m<4 = 180° ( on a straight line)

120° + m<4 = 180°

m<4 = 60°

m<2 = m<3 + m<4

90° = m<3 + 60° ( on a straight line)

m<3 = 90° - 60°

m<3 = 30°

m<1 + m<2 + m<3 = 180°

m<1 = 180 - 90 -30

m<1 = 60°

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