What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?

Answers

Answer 1

Answer:

3rd degree

Step-by-step explanation:

factors are

a(x + 3)(x + 3)(x - 4)

polynomial is

a(x² + 6x + 9)(x - 4)

a(x³ + 2x² - 15x - 36)

where (a) could be any real number


Related Questions

what is 8/10 in simplest form

Answers

i search it up and found its  4/5

Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?

Answers

Answer:

6 pounds

Step-by-step explanation:

3/8×8/1=24/8=3

6/1×1/2=6/2=3

3+3=6

This is Comparing Quantities

3 days to 40 hours
pls help me ​

Answers

Answer:

1 days= 24 hrs

3 days = 3×1 days

= 3×24 hrs

= 72 hrs

Help with this polynomial problem.​

Answers

Answer:

i cannt see it

Step-by-step explanation:

Part D: Your parents put in fencing around the walkway for safety. If 110 feet of
fencing is used, what are the dimensions of the pool? Show your work.

Answers

Answer:

Step-by-step explanation:

Not near enough information to know.

I ASSUME that the pool is surrounded by a walkway of constant width (w = 2 ft, from comments)

The pool shape is important as well. No mention of  the shape

If the pool is circular and the walkway is 3 ft wide

the fence encloses a diameter of 110/π = 35 ft

so the diameter of the pool would be 35 - 2(3) = 29 ft.

POOL IS RECTANGULAR from comments

If the pool is square and the walkway is 2 ft wide, each side of the fence is

110 / 4 = 27.5 ft and the pool would be 27.5 - 2(2) = 23.5 ft on a side.

There are an infinite number of rectangular width and length dimensions and walkway dimensions which would result in a fence length of 110 ft.

Edit from comments

Still an infinite number of rectangular length an width dimensions for a pool with a 2 ft wide walkway around it.

Let's say that we are told the pool is 12 ft wide with 2 ft walkway.

Let L be the pool length

110 = 2(12 + 2(2)) + 2(L + 2(2))

110 = 32 + 2L + 8

70 = 2L

L = 35 ft

plz help verbal expression ​

Answers

Answer:

3(9+r) = 27 + 3r

Sum = addition

Distributive property

The designers of a new website expect the number of visitors to the site to double each month. There were 600 visits to the site the first month. Which function can be used to predict the number of visitors during month m

Answers

The exponential function used to predict the number of visitors during month m is [tex]y = 600(2)^m[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the number of visitors during month m.

There were 600 visits to the site the first month and they double each month, hence:

a = 600, b = 2

The exponential function is given by:

[tex]y = 600(2)^m[/tex]

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A ladder is 65 inches tall. How tall is it in feet and inches?

Answers

1 foot = 12 inches

65 inches / 12 = 5.41 feet

5 x 12 = 60

65-60 = 5

Answer: 5 feet 5 inches

3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.​

Answers

They cannot be simplified

Answer:

No, none of these can be simplified

Step-by-step explanation:

Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.

Here's why:

If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.

What is the 7th term in the sequence below?

-19, -7, 5, 17, .....
Select one:
a.65
b.29
c.101
d.53

Answers

Answer:

53

Step-by-step explanation:

—19 + 12 = —7

—7 + 12 = 5

5 + 12 = 17

.

.

.

so the n term of the sequence will be: 12n 31

so 7th term will be: 12 × 7 31 = 53

Answer:

d. 53

Step-by-step explanation:

increases 12 units at each step:

17 + 12 = 29

29 +12 = 41

41 + 12 = 53  (7th term)

Hope this helps

Differentiate y = sin^2x - cos^2x

Answers

Using the power and chain rules, the derivative of

y = sin²(x) - cos²(x)

is

dy/dx = 2 sin(x) cos(x) - 2 cos(x) (-sin(x))

dy/dx = 2 sin(x) cos(x) + 2 sin(x) cos(x)

dy/dx = 4 sin(x) cos(x)

and using the double angle identity for sine, this is equivalent to

dy/dx = 2 sin(2x)

Alternatively, we can first simplify y using the double angle identity for cosine:

cos(2x)= cos²(x) - sin²(x)

so that

y = -cos(2x)

and the derivative is

dy/dx = sin(2x) • 2

dy/dx = 2 sin(2x)

Identify the slope and y-intercept of the line 4x + 2y < 3.

Answers

Answer:

Step-by-step explanation:

4x+2y<3

y<-2x + [tex]\frac{3}{2}[/tex]

Nam
20. Carol bought 5 pork chops and 3 steaks.
Each pork chop weighed 0.32 pound
and each steak weighed 0.8 pound. How
Temand
many pounds of meat did Carol buy in
telall?

Answers

Answer: Carol bought 4 pounds(lb) of meat.

Explanation: 0.32 x 5 = 1.60, and 0.8 x 3 = 2.40, and 1.60 + 2.40 = 4.

The weight of the meat bought by Carol is 4 pounds.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Carol bought 5 pork chops and 3 steaks. Each pork chop weighed 0.32 pounds and each steak weighed 0.8 pounds.

The weight of the meat will be calculated as:-

0.32 x 5 = 1.60,

0.8 x 3 = 2.40,

Total weight,

1.60 + 2.40 = 4 pounds

Therefore, the weight of the meat bought by Carol will be 4 pounds.

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6:4 is equivalentto blank:24

Answers

24/4=6 so we must do 6x6=36. The final answer is 36:24

Which unit rate is equivalent to 12 miles per gallon? 24 miles 2 gallons 2 gallons 24 miles 36 miles 4 gallons 4 gallons 36 miles​

Answers

Answer:

24/2

Step-by-step explanation:

Add and simplify:
3 + 1
10 5​

Answers

Answer:

I don't under stand the question can u write more clearly

y-2=-2/1(x-4) in slope intercept form

Answers

Answer:

y=2x-6

Step-by-step explanation:

y-2=-2/1(x-4)

y-2=2x-8

+2 +2

y=2x-6

multiply 8 by 10, then subtract t from the result

Answers

Answer:

80-t

Step-by-step explanation:

8(10)=80

80-t

Not sure if this is what you mean... please attach a picture to your question.

7(2e-1)-3=6+6e pls help and do step by step

Answers

Answer:

e = 2

Step-by-step explanation:

7(2e - 1) - 3 = 6 + 6e

14e - 7 - 3 = 6 + 6e

14e - 10 = 6 + 6e

14e - 6e - 10 = 6

8e - 10 = 6

8e = 6 + 10

8e = 16

8e/8 = 16/8

e = 2

Recheck:

7(2e - 1) - 3 = 6 + 6e

7(2(2) - 1) - 3 = 6 + 6(2)

7(4 - 1) - 3 = 6 + 12

7(3) - 3 = 18

21 - 3 = 18

18 = 18 ✅

At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500, how many tickets of each kind were sold?

Answers

Answer:

Step-by-step explanation:

A(1.00) + S(0.50) = 500

A + S = 900

S = 900 - A

A(1.00) + (900 - A)(0.50) = 500

              A + 450 - 0.5A = 500

                               0.5A = 50

                                    A = 100 adults

                                     S = 900 - 100

                                     S = 800 students

No. of students tickets sold is 800 and no. of adult tickets sold is 100.

What is linear equation in two variable ?

A linear equation has highest degree of 1 and it contains two variables generally x and y.

According to the given question At a school game, student tickets were 50 cents each and adult tickets were $1 each. If the total receipts from 900 tickets were $500.

Assuming no. of students to be x and no. of adults to be y.

∴ x + y = 900...(i)

And

0.5x + y = 500...(ii)

Subtracting eqn (i) and (ii) we get

0.5x = 400

x = 800.

So, 800 + y = 900

y = 100.

Therefore how many tickets are sold is same as the no. of students and adults which are 800 and 100 respectively.

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If ^ ABC ≈ ^ DEC, what is the value of x?

Answers

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

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1) write the measurement 4009 mm into the place value table below

a) what is 4009 mm in cm
b) what is 4009 mm in m

2) how many millimeters is 6 liters​

Answers

Answer:

a)400.9 cm

b)4.009 m

c) 181.71 mm

Step-by-step explanation:

a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm

so 4009mm/10 = 400.9cm

b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009

c) 1litre= 1000000mm³

6litre= x

xlitre= 6000000 litre mm³

divide by litre

x= 6000000 mm³

but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root

x= 181.71 mm

: . c)181.71 mm

write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.

Answers

Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

What is the SSS Congruence Theorem?

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information:

AB ≅ EDCA ≅ CEAC bisects BD

Since AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.

Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.

Therefore,  ΔABC ≅  ΔEDC by SSS Congruence Theorem.

The two-column proof that shows ΔABC ≅  ΔEDC by SSS Congruence Theorem is shown in the image attached below.

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in hillary's garden, she has 5 variety of snake plants and 15 variety of orchids. what is the ratio of snake plants to orchids?

Answers

Answer:

1:3

Step-by-step explanation:

She has 1 snake plant for every 3 orchids.

can't believe that you got me in a suit and tie I had to take a pull so I wouldn't cry
You got a line out the church door sayin' goodbye
Yeah, I believe 'em when they say you're in a better place
NAME THE SONG AND THE SINGER 50 POINTS!!!!!

Answers

Answer:

give heaven some hell by Hardy

Step-by-step explanation:

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.


Given logv5 3 ≈ 0.6826 and logv5 8 ≈ 1.2920, evaluate the expressions.

A) logv5 2
B) logv5 (75/8)

Answers

The answer is B I could be wrong but I think that’s the answer

Multiply. Write the answer in simplest form. 3/7 x 2 5/6

Answers

193/42

3×6+25×7÷4218+175÷42193/42

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

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