Simplify the expression (2x − 9)(x 6). a. 2x2 − 54 b. 2x2 − 3x − 54 c. 2x2 3x − 54 d. 2x2 21x − 54

Answer:

A.

Step-by-step explanation:

Because if she plays for a certain amount of time it would go up. And it she took a break it would be a straight line then go up the same line as the one at the bottom. Thus making your answer A.

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

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Answer:

A

Step-by-step explanation:

A fireball

Answer:

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Step-by-step explanation:

1) Move all terms to one side.

[tex]2x^{3} -x^{2} -3x-210=0[/tex]

2) Factor [tex]2{x}^{3}-{x}^{2}-3x-210[/tex] using Polynomial Division.

1 -  Factor the following.

[tex]2x^{3} -x^{2} -3x-210[/tex]

2 -  First, find all factors of the constant term 210.

[tex]1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210[/tex]

3) Try each factor above using the Remainder Theorem.

Substitute 1 into x. Since the result is not 0, x-1 is not a factor..

[tex]2*1^{3} -1^{2} -3*1-210=-212[/tex]

Substitute -1 into x. Since the result is not 0, x+1 is not a factor..

[tex]2(-1)^{3} -(-1)^{2} -3*-1-210=-210[/tex]

Substitute 2 into x. Since the result is not 0, x-2 is not a factor..

[tex]2*2^{3} -2^{2} -3*2-210=-204[/tex]

Substitute -2 into x. Since the result is not 0, x+2 is not a factor..

[tex]2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224[/tex]

Substitute 3 into x. Since the result is not 0, x-3 is not a factor..

[tex]2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174[/tex]

Substitute -3 into x. Since the result is not 0, x+3 is not a factor..

[tex]2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264[/tex]

Substitute 5 into x. Since the result is 0, x-5 is a factor..

[tex]2\times {5}^{3}-{5}^{2}-3\times 5-210 =0[/tex]

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

⇒ [tex]x-5[/tex]

4)  Polynomial Division: Divide [tex]2{x}^{3}-{x}^{2}-3x-210[/tex]  by [tex]x-5[/tex].

                                               [tex]2x^{2}[/tex]                       [tex]9x[/tex]                      [tex]42[/tex]

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

[tex]x-5[/tex]                               |    [tex]2x^{3}[/tex]                          [tex]-x^{2}[/tex]                     [tex]-3x[/tex]     [tex]-210[/tex]

                                           [tex]2x^{3}[/tex]                             [tex]-10x^{2}[/tex]

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

                                                                             [tex]9x^{2}[/tex]                [tex]-3x[/tex]       [tex]-210[/tex]

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

                                                                          [tex]42x[/tex]                              [tex]-210[/tex]

                                                                         [tex]42x[/tex]                               [tex]-210[/tex]

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

5)  Rewrite the expression using the above.

[tex]2x^2+9x+42[/tex]

[tex](2x^2+9x+42)(x-5)=0[/tex]

3) Solve for [tex]x.[/tex]

[tex]x=5[/tex]

4)  Use the Quadratic Formula.

1 - In general, given [tex]a{x}^{2}+bx+c=0[/tex] , there exists two solutions where:

[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

2 -  In this case, [tex]a=2,b=9[/tex] and [tex]c = 42.[/tex]

[tex]x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}[/tex]

3 - Simplify.

[tex]x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

5) Collect all solutions from the previous steps.

[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]

Answer:

D. 32%

Step-by-step explanation:

In an exponential function, exponential growth is modeled by f(x) = a(1 + [rate])ˣ. In this function, the initial value a, which is 2.3, is multiplied by 1.32 x times, so 1.32 represents the actual growth happening.

This means that to find the actual rate of exponential growth, you’d have to set 1.32 equal to (1 + [rate]). If (1 + [rate]) = 1.32, then the rate = .32, and because rates are written as percentages, we change .32 to 32%.

Step-by-step explanation:

23+42=65

0-24=-24

0-3/16=-3/16= -1875

03/16=0.1875

Answer:

Corresponding angles are always congruent

Answer:

step 1. 6x2=12 first place way

step 2. 12×2=24

step 3. 24+6=30 second place way

Answer:

8.625 or 8 5/8

Step-by-step explanation:

to find area you multiply length times width.

first, change 2 7/8 to an improper fraction to make multiplying easier. 2 7/8= 23/8.

then, multiply 3/1 (or 3) by 23/8. multiply across to get 69/8. Simplify the fraction to get 8 5/8 or 8.625.

The percentage of simulations where the average for group A is at least 1.6 lower than the average for group B is 48%.

The following are the data points from the histogram where the average of group A is at least 1.6 less than average of group B.

At least -1.6 lower implies -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, 0, 1, etc.

Outcome of simulations = 1 + 8 + 16 + 23 = 48

Percentage of simulation = outcome/total x 100%

Percentage of simulation =  (48 x 100%)/100

Percentage of simulation =  48%

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Answer:

h = 5.80

[tex]V = \pi r^2h[/tex]

[tex]h = \frac{V}{\pi r^2} = \frac{944.11}{\pi \cdot 7.2^2} = 5.79[/tex] ≈ 5.80

Answer:

273

Step-by-step explanation:

Answer: 273

Step-by-step explanation: when you divide 16.38 by 0.06 you get 273.

Answer:

D. 29

Step-by-step explanation:

If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b

= 4•6 + 5

= 24 + 5

= 29

4a means 4 times a. Multiply first, and then add.

Answer:

48, 110,140

Step-by-step explanation:

Question 1

V= 4 * (6+6)

V=4 * 12

V= 48

Question 2

V= 11 * 10

V= 110

Question 3

V= (7 + 7) *10

V= 14 * 10

V= 140

Step-by-step explanation:

−3(x−4)+x+1

Evaluate this with x=−6

−3(−6−4)+−6+1

=25

Hey there!

[tex] \displaystyle \red{ \boxed{ \green{25}}}[/tex]

-3(x - 4) + x + 1

>> Substitute -6 for x :

⇒ -3(-6 - 4) + (-6) + 1

⇒ -3(-10) - 6 + 1

⇒ 30 - 6 + 1

⇒ 24 + 1

⇒ 25

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Answer:

Answer: 10x^2 -13x-3

Foil method

Step-by-step explanation:

I beleive its right.

Answer:

(17,-1)

Step-by-step explanation:

The solution in the image

Answer:

C) (-2,-16)

Step-by-step explanation:

It is the only point that does not fall on the slope 6x - 5, due to the nearest exact coordinate the line passes through is (-2,-17).

Answer:

the answer is D

Step-by-step explanation:

i just did the test

Answer:

D

Step-by-step explanation:

Answer:

it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so

Answer:

5/6(83.33%) I think this should be the probability of it.

Answer:

$497.28

Step-by-step explanation:

First, you need to find 16% of 592. To do this, turn 16% into a decimal by dividing by 100:

16/100 = 0.16

Then, multiply 0.16 by 592, to get 94.72.

Then, subtract this number from 592:

592 - 94.72 = 497.28

Answer:

The peanut is 12.59 feet away from the base of the platform.

Step-by-step explanation:

When solving these equations, we can first start out by noticing that this requires a trigonometry function.

There are three types : cos, sin, and tan.  (cosine, sin, and tangent)

Cos is for finding and dealing with the adjacent and the hypotenuse.

Sin is for finding and dealing with the opposite and the hypotenuse.

Tan is for finding and dealing with the opposite and the adjacent.

The opposite is the bottom base, to the peanut.

The adjacent is the height from the bottom base, to the top.

The hypotenuse is the top, to the peanut.

27 feet would be the adjacent.

Since we don't know bottom base to the peanut, we would call this x. (opposite)

*Side note*  :   The degrees is always in between the adjacent and hypotenuse.

For this, we need the length between the peanut and the bottom base. This would be the adjacent and the opposite. Meaning we're using tangent. The equation for tangent is :

tan (degrees) = opposite/adjacent

So, now we simply put in the data.

tan 25 = x/27

We can now, first get x alone by multipling both sides by 27.

27 * tan 25 = x

Plug this into a scientific calculator :

27 * tan 25

We the answer to be 12.59

The peanut is 12.59 feet away from the base of the platform

Answer:

22%

Step-by-step explanation:

so 500-390 = 110

110 students said their favorite color was blue.

110/500 = ?/100

110 times 100 = 11000

11000/500 = 22

give brainliest, please!

hope this helps :)

Answer:

tanΘ = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

tanΘ = [tex]\frac{opposite}{adjacent}[/tex]

the opposite side requires to be found.

let the opposite side be x then using Pythagoras' identity in the right triangle

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

then

tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

[tex]14137.8[/tex] to the nearest tenth

Step-by-step explanation:

write the equation of sphere volume:

[tex]\frac{4}{3} \pi r^{3}[/tex]

substitute the radius to the equation :

[tex]\frac{4}{3} \pi* 15^{3}[/tex]

solve by calculator:

[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]

≈[tex]14137.8[/tex] to the nearest tenth