Find f(2) if f(x) = 3x3 - 12x2

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The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:

(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40

Hence:

(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)

= 5(x² - 6x - 8)(x + 7)

= 5(x - 4)(x - 2)(x + 7)

The roots are at:

0 = 5(x - 4)(x - 2)(x + 7)

x = 4, x = 2 or x = -7

The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7

Find out more on equation at: https://brainly.com/question/1214333

[tex]~~~-8x +19 < -13\\\\\implies -8x < -13 -19\\\\\implies -8x < -32\\\\\implies x > \dfrac{-32}{-8}\\\\\implies x > 4[/tex]

Answer:

[tex]a^{2} + 5a -24[/tex]

Step-by-step explanation:

For the distributive property, it is like multiplying each term by the other whole group.

For this problem we can set it up like this:

a(a-3) + 8(a-3) =

a^2 - 3a + 8a - 24 =

a^2 + 5a - 24

A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.

[tex]h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2[/tex]

Substitute the quadratic equation in the formula of the root of the quadratic function,

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526[/tex]

Hence, the time for which the stone was in the air is 3.526.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Answer:

1/16

Step-by-step explanation:

To find probiblity all you have to do is divide the number of events by the number of possible outcomes

There are 16 possible outcomes

and there is only 1` way that the student can get all 4 questions right

so the answer is: 1/16

Answer:

1/16

Step-by-step explanation:

Number of possible outcomes = 16

Only one set will be the correct option

P(getting all four questions correct) = 1/16

Answer:

1780 is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Answer:

Depends on which digit r you asking for

thousands: 2000

hundreds:  1800

tenths: 1780

units: 1784

Answer:

60

Step-by-step explanation:

If there are 300 calories in 100g of Bill's food, then we can divide 5 on both  sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.

Using the least common factor, it is found that it would take 90 minutes for both boys to return to the starting point at the same time.

To find the least common factor, we factor the numbers by prime factors, and then multiply these factors.

The lcm represents the periodicy, that is, when two periodic amounts will be at the same value.

In this problem, the periods are of 15 minutes and 18 minutes, hence:

15 - 18|2

15 - 9|3

5 - 3|3

5 - 1|5

1 - 1

Hence:

lcm(15,18) = 2 x 3 x 3 x 5 = 90.

It would take 90 minutes for both boys to return to the starting point at the same time.

More can be learned about the least common factor at https://brainly.com/question/24873870

Answer:

Step-by-step explanation:

The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.

Hope this helps you!!

Answer:30

Step-by-step explanation: length is 20, Width is 20-10 =10

Area = 20×10=200

Answer:

A muscular foot

Step-by-step explanation:

hope this helps :)

Answer:

yea

Step-by-step explanation:

Answer:

Step-by-step explanation:

BRAINLIEST

To write the expression [tex]6 \frac{7}{12}[/tex]  in radical form.

To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.

Use the rule:

[tex]a\frac{x}{y}[/tex] = [tex]\sqrt[y]{a^{2} }[/tex]

Apply this rule on the the given expression:

[tex]6\frac{7}{12} = \sqrt[12]{6^{7} }[/tex]

Therefore, the expression in radical form is [tex]\sqrt[12]{6^{7} }[/tex]

Answer:

0%

Step-by-step explanation:

There are no brown balls, so therefore it is impossible to get one.

Answer:

A

Step-by-step explanation:

you dont need much to bring an 82 to an 85

Formula for the Circumference of a Circle = pi x diameter

---The diameter is the same thing as 2 x radius

Circumference = 8

pi = 3.14

Diameter = d

---First, plug in what we know

8 = 3.14 x d

---Divide by 3.14 to get d by itself

d = 8 / 3.14 = 2.54777

---Round to the nearest tenth

d = 2.5 cm

Hope this helps!

d=2.5

Hope it helps.

Do comment if you have any query.

Answer:

0

Step-by-step explanation:

2x-6=2x+15

2x-2x=15+6

0x/0=21/0

x=0

Answer:

22

Step-by-step explanation:

Answer:

18 8/9

Step-by-step explanation:

3 7/9 =[ (3*9) + 7] / 9

= 34/9

So we have 5 * 34/9

=  170/9

= 18 8/9.

Answer:

3(3x-2)=39

9x-6=39

9x=39-6

9x=33

x=33/9

x=11/3

Answer:

x=5

Step-by-step explanation:

First, distribute the left side. 3(3x-2)=39 3 x 3x=9x 3 x -2=-6 m So, we get 9x-6=39

Next, we add six to both sides. We get 9x=45.

Lastly , we divide both sides by 9 and get x=5.

Plug x=5 into the place where x is to check your work. 3(3(5) - 2)=39

3(15-2)=39 3(13)=39 39=39 Since 39 is equal to 39, the equation is true.

Answer:

A = 31.875 inches squared

Step-by-step explanation:

Area of a parallelogram is bh

b = 12 and 3/4 is just 12.75 inches

h = 2 and 1/2 is just 2.50 inches

Multiply these together and you get the area,

A = (12.75)(2.50) = 31.875 inches squared

Answer:

31.875 (31.88 rounded)

Step-by-step explanation:

A =b x h

A =12.75 x 2.5

A = 31.875

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

12.75 = 12 [tex]\frac{3}{4}[/tex]

2.5 = 2[tex]\frac{1}{2}[/tex]

12 boys

hope it helps...!!!

Answer:

120 cubed inches

Step-by-step explanation:

5 x (3 x 8)

5 x 24

120

Answer:

Step-by-step explanation:

Volume of rectangular prism = lwh

                                                 = 8 * 3 * 5

                                                 = 120 cubic inches

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

v

[tex]volume \: of \: a \: sphere = \frac{4}{3}\pi \: r {}^{3} \\ when \: r = 8 \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 {}^{3} \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8 \\ volume = \frac{4 \times 22 \times 512}{3 \times 7} \\ volume = \frac{45056}{21} \\ volume = 2145.5m {}^{3} \\ \\ for \: the \: second \: shape \\ volume = \frac{4}{3} \times \frac{22}{7} \times 5.5 {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 166.373 \\ = \frac{14641}{21} \\ = 697.2yard[/tex]

24 sq. yards

hope it helps...!!!