find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multiplicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1

Answers

Answer 1

Answer:

The answer to this question can be described as follows:

-5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Step-by-step explanation:

Given:

[tex]\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)[/tex]

Solve the above equation:

[tex]\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\[/tex]

The roots of the polynomial are as follows:

 [tex]\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n[/tex]

That's why the roots are:

5 with multiplicity 3

9 with multiplicity 2

-1 with multiplicity 1

Answer 2

Answer:

answer:

a. -5 with multiplicity 3  

d. 9 with multiplicity 2

f. -1 with multiplicity 1

Step-by-step explanation:


Related Questions

Joshua drops a bag of 25 chocolate chip cookies and breaks 12 of them. 100
What percentage of the cookies did Joshua break?​

Answers

Answer:

48%

Step-by-step explanation:

12 out o 25 are broken

so, 12/25 = .48 * 100 = 48%

Hope this helps!

Answer:

The answer to this question is 48% is broken

TX is the perpendicular bisector of Su. What is the length of SU?

Answers

Answer:

[tex]SU = 20[/tex]

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

[tex]SU = SX + UX[/tex]

and

[tex]SX = UX[/tex]

Substitute [tex]SX = UX[/tex]; The expression becomes

[tex]SU = UX + UX[/tex]

Recall that [tex]UX = 10[/tex];

So, the above expression becomes

[tex]SU = 10 + 10[/tex]

[tex]SU = 20[/tex]

Hence, the length of is 20

Anyone know this one ?

Answers

The answer is B i.e. one

You have a set of numeric tiles, from 1 to 6. You randomly choose one tile. How many possible outcomes are there?

Answers

Answer:

6

Step-by-step explanation:

There are 6 different tiles choose 1

There are 6 different possible outcomes

help me!
solve for u

Answers

Answer:

u = 9  and u = -9

Step-by-step explanation:

u^2 = 81

Take the square root of each side

sqrt(u^2) =± sqrt(81)

u = ±9

Answer:

Brainliest!!!

Step-by-step explanation:

[tex]\sqrt{81}[/tex] or ±9

they both equal the equation u^2 = 81

A case of Dr. Pepper soda consists of 24 cans, arranged in 4 rows of 6. Each can has a radius of 4 cm. These cans fit neatly on top of a cardboard rectangle (bottom of box), before being packaged. How much empty space is on the cardboard rectangle after the cans are placed on top? (This is an area. Do not worry about the volume of the box.)

Answers

Step-by-step explanation:

each can is R is 4 so her width is 8. 6×8= 48 4×8=32 so it means the cardboard is 32×48. now calculate the area (1536 i think) and reduce 24×4^2×pi that this is the area of the cans.

solve 30-5x greater than 2x+9 and illustrate your answer on the number line.​

Answers

Step-by-step explanation:

30 - 5x > 2x + 9

-7x > -21

x < 3

Simplify ...can I get help

Answers

Answer:

6^21 = B

Step-by-step explanation:

[tex][6^{7} ]^{3} \\(6)^7^*^3\\6 ^{21} \\[/tex]

Answer:

B

Step-by-step explanation:

When solving exponents with parenthesis around the base + sub exponent, always multiply the two exponents. Basically, when the two exponents are right next to each other, you multiply them. When you multiply 7 and 3, you get 21; therefore, the answer is 6 to the power of 23.

Can someone please help me with this? It’s due in an hour

Answers

it is b I hope this work for you

can I have help please
Alpha Exercise 2α Write down the ratio of vowels to consonants in each of the given words. Simplify your ratio where possible.
a) PLAN
b) NUMBER
c) RATIO
d) SHAPE
e) GRAPH
f) EQUALS
g) INVERSE
h) SCALE
i) PRIME
j) MATHEMATICS
k) VERTEX
l) MULTIPLE
m) FACTOR
n) ROTATION
o) REFLECTION
p) TRANSLATION
q) ENLARGEMENT
r) TRANSFORMATIONS
s) SIMULTANEOUS
t) CUMULATIVE

Answers

Vowels are “a,e,I,o,u”.
Consonants are the rest of the letters of the alphabet (e.g. b, c, y)

Ratios are comparisons of two or more amounts. For example if I have 2 eggs and 5 pens, the ration of eggs to pens would be 2:5. Ratios can also be simplified. An example could be if I had 10 eggs and 50 pens my first ratio would be 10:50. To simplify this you must find the highest common factor and divide BOTH of the numbers by it. In 10:50, you would get 1:5 when you divide both sides by 10.

So (a) has 1 vowel and 4 consonants. The ration would be 1:4.

(B) has 2 vowels and 4 consonants. The ration would be 2:4 which can be simplified to 1:2.

IMPORTANT: make sure to not swap the sides of the numbers. It should be vowels:consonants, not consonants:vowels.

Hope this helped.

volume of the rectangle pyramid shown below 9in 8in 7 in

Answers

Answer:

168in³

Step-by-step explanation:

Volume of a rectangular pyramid is: [tex]V=\frac{lwh}{3}[/tex]

We are given the measurements of:

9 inches long

8 inches wide

7 inches tall

[tex]V=\frac{9*8*7}{3} \\\\V=\frac{504}{3} \\\\\boxed {V=168}[/tex]

The volume of the figure should be 168in³.

5 – 6x = 8x + 17 and simplify [tex]\frac{-6}{7}[/tex]

Answers

Answer:

x = -6/7

Step-by-step explanation:

5 – 6x = 8x + 17

-5                 - 5           Subtract 5 from both sides

-6x = 8x + 12

-8x   - 8x                     Subtract 8x from both sides

-14x = 12                      Divide both sides by -14

x = -12/14                     Simplify

x = -6/7

Describe how the graph would move from the parent function: y = |x+4| - 12

Answers

Answer:

The graph moves 4 right and 12 down.

Step-by-step explanation:

So let me rewrite the function into all variables:

y = |x + z| + a

If z goes up, the graph moves right.

If z goes down, the graph moves left.

If a goes up, the graph moves up

If a goes down, the graph moves down.

The graph moves 4 right and 12 down.

HELP ME PLEASE!!!! URGENT!!!

Answers

Answer:

Step-by-step explanation:

f(x)=4x+1

g(x) = x^2-5

(f*g)(x) = 4x^3+x^2-20x-5

What is 364 times 3 ...???

Answers

[tex]364 \times 3[/tex]

[tex]= 1092[/tex]

pls help asap for 17 points

Answers

Answer:

x = 52y

Step-by-step explanation:

Find each difference. (–6s2 + 12s – 8) – (3s2 + 8s – 6)

Answers

Answer:

-9s2 + 4s -2

Step-by-step explanation:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)=

(-6s2-3s2) +12s-8s -8+6=

-9s2 + 4s -2

Answer:

[tex]-9s^2+4s-2[/tex]

Step-by-step explanation:

What is the answer to this?
2x + 10 < 5x + 1

Answers

Answer:

x>3

Step-by-step explanation:

2x + 10 < 5x + 1

Add -5x and -10 on both sides of the inequality.

2x + 10 -10 -5x < 5x + 1 -5x -10

2x -5x < 1 -10

Subtract like terms.

-3x < -9

Multiply -1 and reverse the inequality.

3x>9

Divide 3 into both sides of the inequality.

3x/3>9/3

x>3

Answer: x > 3

Step-by-step explanation: Put your x's together on the left side of the inequality by subtracting 5x from both sides to give you -3x + 10 < 1.

Next, put your numbers together on the right by

subtracting 10 from both sides and we have -3x < -9.

To get x by itself, divide both sides by -3, but watch out.

If you multiply or divide both sides of an inequality by a negative,

you must switch the direction of the inequality sign.

Please give this idea your full attention.

Even the most advanced algebra students will sometimes forget to

switch the direction of the inequality sign when multiplying or

dividing both sides of an inequality by a negative.

So we have x > 3 as our answer.

I have graphed the solution below.

Can someone help me it’s geometry :(

Answers

Answer:

The vertical angles theorem

Step-by-step explanation:

The correct answer is the vertical angles theorem, which states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent

Answer:

Step-by-step explanation:

3) ∠JKN =∠ MKL Vertical angles theorem  - Vertically opposite angles are equal

4) ΔJKN ≅ΔMKL     AAS congruency

5) ∠J ≅ ∠ M    CPCTC

Can anybody help me solve for surface area? The formula is the sum of the areas of the faces.

I will mark as brainliest ASAP!

Answers

Answer:

Surface area of the given prism = 63 square feet

Step-by-step explanation:

Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles

Area of triangular bases = 2[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]] (Since the bases of this prism are right triangles)

                                        = 3 × 3

                                        = 9 square ft

Area of one vertical rectangular face = (Length × Width)

                                                             = (3 × 6)

                                                             = 18 square feet

Area of all vertical sides = 3 × 18 = 54 square feet

Total surface area = 9 + 54 = 63 square feet

Simplify. x^3 ÷ x^5​

Answers

Answer:

x^-2

Step-by-step explanation:

(x*x*x)/(x*x*x*x*x)

1/x*x

1/x^2

x^-2

Answer: 1 / x^2

Step-by-step explanation:

x^3 / x^5

= x^-2

= 1 / x^2

Please help! Correct answers only please!
A student was conducting a study to determine how many mini chocolate chip cookies would fit in a plastic sealed container. He used random packing to find the following.

Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per cookie?

A. 2.2 in^3/cookie

B. 0.45 in^3/cookie

C. 17.82 in^3/cookie

D. 23.76 in^3/cookie

Answers

Answer: (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Step-by-step explanation:

From the given table , the dimension of the container for the 90cookies = 11 inch x 6 inch x 3 inch

Then, the volume of the container would be [tex]11\times6\times3= 198 \ in^3[/tex]

Then, the ratio of cubic inches per cookie would be

[tex]=\dfrac{\text{Volume of container}}{\text{Number of cookies in it}}\\\\=\dfrac{198}{90}\\\\=2.2\text{ in}^3/\text{cookie}[/tex]

So, the the ratio of cubic inches per cookie would be [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

Hence, the correct option is (A) [tex]2.2\text{ in}^3/\text{cookie}[/tex] .

What is the area of the composite figure shown?
A) 42.4m2
B) 41.7m2
C) 32.8m2
D) 63m2

Answers

Answer:

B

Step-by-step explanation:

Which unit would you use to measure the weight of a car?
O mg
O kg
O g
O km​

Answers

Answer:

The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg. Since the weight is a force, its SI unit is the newton.

hope that helps love!

Solve for g.

–19g = –20g + 12

g =

Answers

Answer:

g = 12

Step-by-step explanation:

–19g = –20g + 12

Add 20 g to each side

–19g+20 g = –20g+ 20g + 12

g = 12

Answer:

g = 12

Step-by-step explanation:

→The first step is to add 19g to both sides:

-19g = -20g + 12

+19g   +19g

____________

0 = -g + 12

→Subtract 12 from both sides:

0 = -g + 12

-12       -12

_________

-12 = -g

→Divide both sides by -1:

12 = g

Right the slope form of a line with a slope of 2 and a Y intercept form of -4

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

Slope intercept form should be the easiest because they give you all you need.

y = mx + b

m = 2

b = -4

y = 2x - 4

The volume of a box containing 15 identical cubes is 295245cu.m. Find the edge of the cube.

Answers

Answer:

Edge length of the cube = 27 m

Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

Step-by-step explanation:

The box contains 15 identical cubes therefore, we have

Edge length of cube = Side, s, of cube

15 × s³ = 295245 m³

∴ s³ = 295245/15 = 19683 m³

s = ∛19683 = 27 m

Hence the edge length of the cube = 27 m

The dimension of the box is length =  5 × 27 = 135 m

Width = 3 × 27 = 81 m

height = 27 m.

PLEASE SOMEONE HELP ME ASAP!!!!!ANYONE PLEASE!!!!

Daniella works at a nearby electronics store. She makes a commission of 15% on everything she sells. If she sells a laptop for $293, how much money does Daniella make in commission?

A.$43.96
B.$43.95
C.$249.50
D.$24.95

Answers

Answer: B.$43.95


Explanation: 15% of $293 is $43.95

Answer:

B.$43.95

Step-by-step explanation:

Commission = 15% of $

[tex] = \frac{15}{100} \times 293 \\ \\ = 0.15 \times 293 \\ = \$ 43.95[/tex]

HELLPPP ITS ABOUT FUNCTIONS EXPLANATION NEEDEDD HELPPP

Answers

Answer:

C  y =2x -3  

Step-by-step explanation:

The y intercept is the value when x =0

A y = -4x+15   The y intercept is 15

B The y intercept is -2

C  y =2x -3   The y intercept is -3

D   The y intercept is 2

The smallest ( least) y intercept is -3

Idk how to explain it please help question 11!

Answers

[tex]\frac{3-5x}{-4}[/tex]

[tex]\frac{3+-5x}{-4}[/tex]

[tex]\frac{-5x+3}{-4}[/tex]

[tex]\frac{5}{4} x+\frac{-3}{4}[/tex]

[tex]\frac{5x-3}{4}[/tex]

Step-by-step explanation:

For instance, though not like terms, subtract

5-3/4= 2/4= 1/2

3-5/-4= -2/-4, -ve plus -ve hence +ve

+ve 1/2

They are the same

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