Which function is shown in the graph below

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

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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]

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

The amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

Before taxing, the price to be paid is real price (marked on the items) - discount offered on them.

Now, we get:
Price of each shirt is assumingly same, and so as for both of shorts. The discounts would be same for all shirts, and the discount will be same for all shorts.

So sum of discounted price = discount on summed price.
Thus, discoutned price of 3 shirts = 40% discount on $25.65

= $25.65 - 40% of $25.65

We get this:

[tex]25.65 - \dfrac{25.65}{100} \times 40 = 25.65 \approx 0.6 = 15.39[/tex] (in dollars)

Similarly, we get:

Discounted price of shorts=  $22.80 - 50% of %22.80 = 22.80 - 11.40 = 11.40 dollars

Thus, the total discounted price = discounted price of shirts and shorts= $15.39 + $11.40 = $26.79

Thus, the amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

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Answer:

0

Step-by-step explanation:

2x-6=2x+15

2x-2x=15+6

0x/0=21/0

x=0

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:

100% correct

Step-by-step explanation:

The properties of the protists differ from that of the fungi but they are both eukaryotic organisms and are unicellular.

A protist is an organism that belongs to the Kingdom Protista. Fungus are the organisms that belong to the kingdom fungi.

Now, let us differentiate between the properties of the protists and the fungi;

Unicellular - both fungi and protists

Stationary - fungi

Reproduces through spores - fungi

Eukaryotic - both fungi and protists

Cillia - protists

Autotrophic - fungi

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Answer:

90.5660377

Step-by-step explanation:

20×20÷53×12

400÷53×12

7.54716981×12

90.5660377

Answer:

yea

Step-by-step explanation:

Answer:

Its the first one.

Step-by-step explanation:

Just subtitue in values, the only one that works is the first one.

Answer:

3 + 2x

Step-by-step explanation:

combine -6 + 9 = 3

combine 4x - 2x = 2x

Answer:

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

Step-by-step explanation:

Let m be the slope of the line

We can calculate the slope m this way :

[tex]m = \frac{0-(2)}{1-(-3)} = \frac{2}{4 }= \frac{1}{2}[/tex]

Answer:

0%

Step-by-step explanation:

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

12 boys

hope it helps...!!!

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:

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]

Answer:

Step-by-step explanation:

BRAINLIEST

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:

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.

1 foot because if you do 1 1/2 - 1/2 = 1

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

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:

A muscular foot

Step-by-step explanation:

hope this helps :)