Mathematics College

The polynomial equation x^(3)-x=0 has exactlty one positive root and exactly one negative real root. Please select the best answer from the choices provided T F

Answers

Answer 1

Answer: T

Step-by-step explanation:

The Polynomial Equation X^(3)-x=0 Has Exactlty One Positive Root And Exactly One Negative Real Root.

Related Questions

If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?

Answers

Answer:

If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.

Step-by-step explanation:

To find the value of an expression is to what?

A) Variable
B) squared
C) evaluate
D) algebra

Answers

Answer:

evaluate

Step-by-step explanation:

um duh

but I hope I helped in some way

it’s C, to evaluate

The Boy Scouts had a car wash to raise money for summer camp. They washed an average of 12 cars per hour. If the car wash lasted 6 ½ hours, how many cars did they wash?

Answers

Answer:

Step-by-step explanation:

they washed about 78 cars.

you juat multiply the average to the 6 1/2 hours and get 78.

hope this helped.

Simplify the expression below.
(x6)(x2)
A. x4
B. x6
C. x8
D. x12

Answers

Answer:

C. X8

Step-by-step explanation:

correct me if im wrong

Answer:

See below.

Step-by-step explanation:

The answer would be x^8.

When multiplying exponents, you add them, rather than actually multiplying.

-hope it helps

Megan has a case shaped like a right prism. She knows that the area of the base of the case is 16 in and the volume of the case is
352 in
What is the height of Megan's case?
O 17 in
22 in
27 in
32 in

Answers

Answer:

22 in

Step-by-step explanation:

volume of a right prism = area of base x height

Given:

volume = 352 in³area of base = 16 in²

⇒ 352 = 16 × height

⇒ height = 352 ÷ 16

⇒ height = 22 in

Height be x

Volume=Area of base×height

[tex]\\ \rm\rightarrowtail 16x=352[/tex]

[tex]\\ \rm\rightarrowtail x=352/16[/tex]

[tex]\\ \rm\rightarrowtail x=22[/tex]

Need help I’m stuck on 4 of these

Answers

Answer:

a^8/b^12 --> a.k.a answer d

Step-by-step explanation:

when there's an exponent outside of a parenthesis of exponents inside, you're basically just going to multiply them together. not add or anything

2 * 4 = 8

3 * 4 = 12

and we cant divide or do anything else with the product b/c a and b are both different variables and we don't know what they are

the length of a rectangular playground is three three times its width if it has a perimeter of 88m
, what are the dimensions of the playground

Answers

Step-by-step explanation:

Length=l

Width=w

l=3w

Perimeter of a rectangle=2(l+w)

2(l+w)=88

l+w=44

3w+w=44

4w=44

w=11

l=3w=33

Find the quotient of 1/4 divided by 7

Answers

Answer: 1/4/7=1/28

You’re welcome good luck to whatever you’re working on. Give brainliest please for my answer.

the answer is indeed 1/28!

here’s why:
in order to divide fractions, you must multiply straight across. but, only when diving, you flip the 2nd fraction. we know that 7 has an invisible 1 under it, but since we’re dividing, we must flip it to 1/7.
so, you should now hove something that looks like this;

1 1
- x -
4 7

so simply, if multiplied correctly across, you should end up with 1/28.

1 x 1 = 1
7 x 4 = 28

hope this helps!

These points are linear.
Find the slope.
x0 |1 |2|3|4|5
y|0|2|4|6|8|10
slope = [?]

Answers

Answer:

Step-by-step explanation:

x₁ = 0 ; y₁=0 &

x₂ = 1 ; y₂=2

Slope =[tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]=\dfrac{2-0}{1-0}\\\\\\=\dfrac{2}{1}\\\\\\= 2[/tex]

Slope = 2

how do I do this problem?

Answers

Answer:

Step-by-step explanation:

you need to plug in

Identify the vertex of the parabola?

Answers

Hi!

The vertex is the highest or lowest point on a graph, also known as the maximum/minimum. It is the turning point for the parabola.

In this case, it has a maximum, because the parabola points downward.

Using the graph, we can see the vertex is at point

(3, 4)

Answer:

(3,4)

Step-by-step explanation:

The vertex is a point that is the maximum or minimum of the parabola. (3,4) is the highest point on that parabola so it's a vertex

The ratio of boys to girls at a movie is 4:7 . If there are 21 girls, how many boys are at the movie?

Answers

Answer:

12 boys

Step-by-step explanation:

i took the 7 that represents the girls and multiplied by 3 to get 21 (how many girls are there)

So then i took 4 multiplied 3 and thats how i got the answer 12 (brainllist Plz!)

Question 5 Simplify x²-9 / x+3

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}-9 }{x+3}[/tex]

you factorize x²-9 to get (x+3)(x-3)

that would now be [tex]\frac{(x+3)(x-3)}{x+3}[/tex]

x+3 would cancel out the other x+3

then you would be left with (x-3)

Answer:

Hello there buddy I’m MrsNobody and I’m here too help you

Your answer is

x+3)(x−3)x+3

Cancel the common factor.(x+3)(x−3)x+3(x+3)(x-3)x+3

Divide x−3x-3 by 11.

Answer;x−3

Hope it’s helps you buddy

I’m sorry if my answer is wrong

Have a nice day

Good luck with your homework

Step-by-step explanation:

~MrsNobody

Translate the sentence into an equation.
Seven times the sum of a number and 8 eguals 5.
Use the variable b for the unknown number.

Answers

Answer:

7(b+8) = 5

Hope this helps!

A jar containing 12 brown M&Ms and five yellow M&Ms what is the ratio of yellow M&Ms to brown M&Ms

Answers

Answer:

5:12

Step-by-step explanation:

you can't simplify your answer so it will be

5:12

x=(a+b)/2 solve for a

Answers

Answer:

a=2x-b

Step-by-step explanation:

[tex]x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\[/tex]

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle

Answers

Step-by-step explanation:

use the above picture as a reference and solve

Answer:

36°

Step-by-step explanation:

So, the angle measure of x+15 is 36 because x = 21

By rewriting the linear function we will see that the correct option is A.

"an increasing line that passes through (0, 4)"

Which statement describes the graph?

Here we have the linear function:

2y = 4x + 8

We can rewrite it to get the function in the slope-intercept form:

y = (4x + 8)/2

y = 2x + 4.

So, the slope is positive, this implies that we will have an increasing line.

We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).

From that, we can conclude that the correct option is A.

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

THIS IS URGENT. PLEASE HELP. given AC=30, find the value if x, and the length of BC

Answers

Answer:

The value of x is 4.8. The length of BC is 14.6.

Step-by-step explanation:

I combined the two expressions 3x+1 and 2x+5 to 5x+6=30

1. I subtracted 6 from 6 and 30 in the equations.

2. I was left with 5x=24

3. I then divide 5 from 5x and 24

4. I got x=4.8

To get the length of BC

2x+5

1. I multiplied 2×4.8

2. I got 9.6

3. I then add 5 to 9.6

4. I finally get the answer 14.6 which is the length of BC

Answer:

[tex]\overline{BC}=14.6[/tex]

Step-by-step explanation:

we know that

[tex]\overline{AC}=\overline{AB}+\overline{BC}[/tex]

[tex]30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8[/tex]

and now we solve for BC

[tex]\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6[/tex]

so that's our answer

Please help if you can

Answers

Answer:

13.1 cm² (nearest tenth)

Step-by-step explanation:

Use the sine rule for area of a triangle with 2 sides and an included angle (SAS).

Sine rule for area

[tex]\textsf{Area ABC}=\dfrac12ab \sin C[/tex]

(where [tex]a[/tex] and [tex]b[/tex] are the side lengths and [tex]C[/tex] is the included angle)

Given:

[tex]a[/tex] = 8 cm[tex]b[/tex] = 7 cm[tex]C[/tex] = 28°

[tex]\implies \textsf{Area}=\dfrac12\cdot 8 \cdot 7 \cdot\sin (28\textdegree)[/tex]

[tex]=13.14520376...[/tex]

[tex]= 13.1 \textsf{ cm}^2 \textsf{ (nearest tenth)}[/tex]

Use sine rule

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}Base\times Height sin\theta[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}(8)(7)sin28[/tex]

[tex]\\ \sf\longmapsto 28sin28[/tex]

[tex]\\ \sf\longmapsto 13.1cm^2(Approx)[/tex]

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