The product of binomial and a trinomial is x^3+3x^2-x+2x^2+6x-2.

Answer:

The function is  [tex]f(x)=2x-1[/tex]

Step-by-step explanation:

If a function has a zero of [tex]\frac{1}{2}[/tex].

The we can write  [tex]x=\frac{1}{2}[/tex].

We need to work backwards to obtain the function:

We multiply through by 2 to get:

[tex]2x=1[/tex].

This implies that:

[tex]2x-1=0[/tex]

Hence a function with such zero is  [tex]f(x)=2x-1[/tex]

Answer:

The function is [tex]f(x)=4x-2[/tex]

Step-by-step explanation:

That a function has a zero at a certain number x means that [tex]f(x)=0[/tex]

Let's see an example,

If we have [tex]f(x)=x+2[/tex] (this is what we call function)

and we choose any value for the x,

x = 3

Now we replace it in our function

[tex]f(3)=3+2[/tex]

[tex]f(3)=5[/tex] (this is the image of 3)

Now if we say that x = -2, and replace it in our function

[tex]f(-2)=(-2)+2[/tex]

[tex]f(-2)=0[/tex] , this means that our function has a zero at x = -2

We can find the zeros of our function equaling it to zero and clearing the x, let's see

[tex]x+2=0[/tex]

[tex]x=-2[/tex]  this means that our function has a zero at x = -2

To find a function that has a zero at  [tex] \frac{1}{2}[/tex] , let's think that the result must be [tex]f(x)=0[/tex]

If we have 4 and multiply it by 1/2.

[tex]4)(\frac{1}{2})=2[/tex], now we subtract 2 from this result

[tex]-2 = 0[/tex] , the complete process would be

[tex]4)(\frac{1}{2})-2=0[/tex], we said that [tex] \frac{1}{2}[/tex], then

[tex]4x-2[/tex], now we write it as a function

[tex]f(x)=4(x)-2[/tex]  we know that by replacing the x by 1/2 the result will be zero, which means that [tex] \frac{1}{2}[/tex] is zero of this function

Answer:

40%

Step-by-step explanation:

you would take the number of magicians and divide that number by the total number of performers like this:

4 / 10 = 0.4

which equals 40%

so the probability of selecting a performer and them being a magician would be 40% exactly

i hope this helps :)

The probability of randomly selecting a magician from a group of 10 performers with 4 magicians is [tex]\frac{2}{5}[/tex].

The probability that a randomly selected performer from a circus with 10 performers and 4 magicians will be a magician is calculated by dividing the number of magicians by the total number of performers. Therefore, the probability P(magician) is:

P(magician) = number of magicians / total number of performers
P(magician) = [tex]\frac{4}{10}[/tex]
P(magician) = [tex]\frac{2}{5}[/tex]

Its C, you have to add all the numbers up and divide by how many numbers there are

Acute triangle is the answer

Answer:

The answer is a. right.

Step-by-step explanation:

GIVEN:

hypo=25

opposite and adjacent=15 and 20.

FORMULA:

hypotenuse^2 =opposite side^2 + adjacent side^2

25^2=15^2+20^2

625=225+400

400+225=625

(Got this from yahoo answers, everybody said right.)

Answer:

-3≤x<4

Step-by-step explanation:

First you divide 3 on all sides of the equation.

So,

Answer:

x= (-3,-2,-1,0,1,2,3)

Step-by-step explanation:

You would divide 3 from both which you would get:

-3< x <4

x can represent any number above because the numbers I listed above is greater than -3 or less than 4.

3*-1=-3

3*0=0 ....... -3 <0 >4

3*1=3

Answer:

Step-by-step explanation:

A.

First spin         Second Spin

____ Red   |---------Red

|                  |---------Green

|                  |--------Yellow

|

____Blue   |---------Red

                  |----------Green

                  |---------Yellow

B.    Probability of getting a red on the first spin = 1 /2.

Answer:

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What numbers on both spins would create a PRODUCT GREATER THAN 21?

3 and 9

5 and 5

5 and 7

5 and 9

7 and 7

7 and 5

7 and 9

9 and 9

9 and 3

9 and 5

9 and 7

So, as we can see, we have 11 possibilities of getting a product GREATER than 21 (not 21...).

Correct answer A.

Subtract 0.2 by both sides and the your answer is f = -3.2

Answer:

the answer is f=-3.2

Step-by-step explanation:

because with solving linear equations you have to do the opposite of what your doing do like  f+0.2=−3 since your adding you want to subtract instead you want to subtract on both sides so we know 0.2-0.2= 0 so 0.2- -3= -3.2 so that gives us our answer -3.2

Answer: Please Mark Brainliest :) !!

The answer is x= 6 and y= 27.

Step-by-step explanation:

3x + 9 = 5x + 3

-2x + 9 = -3

y = 5x -3

x = 6

y = 5x -3

y = 5(6) -3

y = 27

First, when solving for x, you would need to make one of the equation into standard form, which would be Ax + By = C. So, I'm going to use y = 5x -3.

y = 5x - 3  || subtract -5x on both sides from the equal sign

5x + y = -3  || there you have one equation in standard form

Now, all you have to do now is substitute the y-intercept form equation into the standard form equation. As you can see, you would substitute the y-intercept form into the y in the standard form equation.

5x + y = -3

5x + 3x + 9 = -3  || combine like terms

8x + 9 = -3  || subtract 9 on both sides from the equal sign

8x = 6  || divide by 8 on both sides from the equal sign

x = 0.75  || final answer for x

Then for solving y, take any equation in y-intercept form and substitute with the x in the equation, which I'm going to use y = 3x + 9 in this case.

y = 3x + 9  || substitute with x

y = 3 (0.75) + 9  || multiply 3 and 0.75

y = 3.75 + 9  || add 3.75 and 9

y = 12.75  || final answer for y

Thus, x = 0.75 and y = 12.75.

x⁶; multiplying monomials means adding their exponents in this case.

Answer:

y = (x + 9)² - 83

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² + 18x - 2

Obtain vertex form by using the method of completing the square

add/subtract (half the coefficient of the x- term )²

y = x² + 2(9)x + 81 - 81 - 2

  = (x + 9)² - 83

The ANSWER IS Y=(x+9)^2-83

Answer:

x = - 9, x = 4

Step-by-step explanation:

The x- intercepts are the values of x where the graph of the function crosses the x- axis.

To obtain them set f(x) = 0, that is

x² + 5x - 36 = 0

To factor the quadratic.

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)

The factors are + 9 and - 4, since

9 × - 4 = - 36 and 9 - 4 = + 5, thus

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

Answer:

x=(4,0) and x=(9,0)

hope this helps

The area of the paper is Length x width = 8 x 11 = 88 square inches.

Each game piece was 1 inch in diameter.,so you could cut it out of a 1 inch square.

So each square inch of the paper could be a game piece.

You could make 88 game pieces.

You can make 88 pieces

Answer:

solution  (-∞,4.25)

Step-by-step explanation:

Given inequality is [tex]4m +16.5 < 33.5[/tex].

Now we need to solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.

[tex]4m +16.5 < 33.5[/tex]

[tex]4m < 33.5 - 16.5[/tex]

[tex]4m < 17[/tex]

[tex]m < \frac{17}{4}[/tex]

[tex]m < 4.25[/tex]

Hence solution set using interval notation is given by (-∞,4.25).

Graph will be an arrow pointing to the left of 4.25

Answer:

m < 4.25; (-∞, 4.25).

Step-by-step explanation:

Part 1. Solve the inequality

4m + 16.5 < 33.5

         4m  < 17         Subtracted 16.5 from each side

            m < 4.25     Divided each side by 4

Part 2. Interval notation

The solution set consists of all numbers less than 4.25. We use parentheses to denote numbers that are not included in the interval.

4.25 is not included, because m < 4.25.

-∞ is not included, because we can never reach it.

In interval notation, the solution set is (-∞, 4.25).

Step 3. Number line

The solution set consists of all numbers less than 4.25. We use an open circle to show that  4.25 is not included in the set.

The answer is D because all of the dots are in the same place except for 2.

Answer:

Step-by-step explanation:

d

Answer:

The answer would have to be VELOCITY which is distance / time.

That answer is NOT on your list.

Step-by-step explanation:

Answer:

frequency

Step-by-step explanation:

Answer:

5 1/3

Step-by-step explanation:

16 - (2z-4)/3

Let z = 18

16 - (2*18-4)/3

Multiply inside the parentheses first

16 - (36-4)/3

Subtract inside the parentheses

16 - (32/3)

Divide inside the parentheses and change to a mixed number

16 - 10 2/3

Borrow 1 from 16 in the form of 3/3

15 3/3 - 10 2/3

5 1/3

Answer:

Your answer would be 5 1/3.

Step-by-step explanation:

16- (2(18)-4)/3

16- (36-4)/3

16/1 - 32-3

48/3 - 32/3 = 16/3

16/3 converted to a mix number is 5 1/3

Hope I helped :)

20+h=42 is the answer

Answer: Melissa made 22 striped hats

(Hope this helps) :D

Step-by-step explanation: You get this answer by subtracting 20 from 42 to get 22

If this helps you please make it brainliest.

14. She has 12 possible choices.

15. $96

16. I don’t know about this one, sorry.

I7. 4/7

18. 1/3

Hope this helps!

To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.

3/4 x 5/8 = 15/32

Answer:

36 cubic cm.

Step-by-step explanation:

To find volume, you multiply width by length by height, so 3x4x3, which is 36.

Answer:

the answer would be A.  a measure of center, such as the median

Step-by-step explanation:

A measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Some examples of a measure of center are median and mode. Some examples of a measure of variation are interquartile range and mean absolute deviation.

The salon manager wants one number to summarize all the values of the data set.

Answer:

x=8

Step-by-step explanation:

The two angles are complementary angles, so they add together to make 90 degrees

x+50 + 4x = 90

Combine like terms

5x+50 = 90

Subtract 50 from each side

5x+50-50= 90-50

5x = 40

Divide by 5

5x/ 5 = 40/5

x = 8

ANSWER

[tex]{f}^{ - 1}(x) = ln(x)[/tex]

EXPLANATION

The given function is

[tex]f(x) = {e}^{x} [/tex]

Let

[tex]y={e}^{x} [/tex]

We interchange x and y.

[tex]x={e}^{y} [/tex]

Solve for y.

[tex]y = ln(x) [/tex]

This implies that,

[tex] {f}^{ - 1}(x) = ln(x) [/tex]

The correct answer is C

Answer:

[tex]f^{-1}(x)=ln(x)[/tex]

Step-by-step explanation:

Given function is [tex]f\left(x\right)=e^x[/tex].

Now we need to find it's inverse so follow these steps:

Step 1: replace f(x) with y.

[tex]y=e^x[/tex]

Step 2: Switch x and y.

[tex]x=e^y[/tex]

Step 3: Solve for y.

[tex]x=e^y[/tex]

[tex]ln(x)=ln(e^y)[/tex]

[tex]ln(x)=y[/tex]

[tex]y=ln(x)[/tex]

Step 4: Replace y with [tex]f^{-1}(x)[/tex].

[tex]f^{-1}(x)=ln(x)[/tex]

Hence final answer is [tex]f^{-1}(x)=ln(x)[/tex].

Answer:

Step-by-step explanation:

First step:

Calculate, what fraction of 75 is 33:

[tex]\dfrac{33}{75}=\dfrac{33:3}{75:3}=\dfrac{11}{25}[/tex]

Second step:

Convert to the percent:

[tex]\dfrac{11}{25}\cdot100\%=(11)(4\%)=44\%[/tex]

33 is 44% of 75.

To determine what percent of 75 is 33, you can use the formula: (part/total) × 100. In this case, the part is 33 and the total is 75.

Thus, 44% of 75 is 33.

Answer:

8

Step-by-step explanation:

The required value in the fill-in-the-blank is 8, which is completely factored into the product of two binomials: (x-7) and (x-8).

To fill in the blank in the expression x²-15x+56=(x-7)(x-____), we need to find the missing factor that, when multiplied by (x-7), gives us the original quadratic expression.

Factor the quadratic expression x²-15x+56 by finding two numbers that multiply to 56 and add up to -15, which are -7 and -8.

Therefore, we can rewrite the quadratic expression as:

x² - 15x + 56 = (x - 7)(x - 8)

This means that the quadratic expression can be completely factored into the product of two binomials: (x-7) and (x-8).

Thus, the required value in the fill-in-the-blank is 8.

Learn more about quadratic function here:

brainly.com/question/14083225

#SPJ2

Answer:

y=1/3x+1

Step-by-step explanation:

y=mx+b

y=1/3x+b

2=1/3(3)+b

2=1+b

1=b

y=1/3x+1

For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:

[tex](x + 6) (x-1) (x-4) = 0[/tex]

To build the polynomial we must multiply:

[tex](x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =[/tex]

Adding similar terms:

[tex]x ^ 3 + x ^ 2-26x + 24[/tex]

Answer:

[tex]x ^ 3 + x ^ 2-26x + 24[/tex]

Answer:

The square root of 25 is 5 because whenever it's a number multiplied by the same number like 4×4, 5×5, 8×8 and so on, you are squaring that number since you are multiplying the same number twice. Hope this helps and I'm sorry if my explanation is not that clear:)