The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are −2, −1, 1 and 3.

Which graph could be the graph of f(x)?

Answer:

a = 14

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, sum to 180°

a² - 10a + 7a + 26 = 180

a² - 3a + 26 = 180 ( subtract 180 from both sides )

a² - 3a - 154 = 0 ← in standard form

(a - 14)(a + 11) = 0 ← in factored form

Equate each factor to zero and solve for a

a - 14 = 0 ⇒ a = 14

a + 11 = 0 ⇒ a = - 11

Since a > 0 , then a = 14

Answer:

yes

Step-by-step explanation:

Answer:

Parallel if they have the DIFFERENT y-intercept

If they don’t have the different y-intercpet, its just coincide

Answer:

Susan needs 1 23/64 cubic feet of bird seed to fill the rest of the birdfeeder.

Step-by-step explanation:

I did the math.

0.11718 cubic feet of bird seed Susan need to fill the rest of the birdfeeder.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have,

It is filled with bird seed to a height of 5/8 feet as shown.

So, Susan need to fill the rest of the birdfeeder

= 5/8 x 1/2 x 3/8

= 15 / 128

= 0.11718 feet

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Answer:

R2976

Step-by-step explanation:

2400(1+0.06×4)

=R2976

Answer:

[tex]\sqrt{202}[/tex] units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

[tex]d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}[/tex]  

So, as an exact answer, the distance is [tex]\sqrt{202}[/tex] units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

Answer:

14.2

Step-by-step explanation:

All you need to do is plug the coordinates into the distance formula.

√(x2 - x1)² + (y2 - y1)²

√[8 - (-1)]² + [9 - (-2)]²

√(9)² + (11)²

√81 + 121

√202

= 14.2

Answer:

6 Hours and 20 minutes

Step-by-step explanation:

Answer:

6hrs and 20 mins

Step-by-step explanation:

Answer:

the front face of the barn: 78m^2

Step-by-step explanation:

look at the photo

The area of a 2D form is the amount of space within its perimeter. The area of the front face of the barn is 78 m².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram of the barn can be made as shown below. Therefore, the area of the front face of the barn is,

Area of the barn front = Area of the triangle + Area of the rectangle

                                     = (5 × 12) + (0.5 × 3 × 12)

                                     = 60 m² + 18 m²

                                     = 78 m²

Hence, the area of the front face of the barn is 78 m².

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Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

option A. 5 apples for $2.50

Step-by-step explanation:

You must find the price per apple for each option by dividing the cost in cents by the number of apples. 250 cents divided by 5 apples gives you 50 cents per apple, while option c is 55 cents per apple, option b is 60 cents per apple, and option d is 52 cents per apple.

Answer:

-4/5y - 4/5x

Step-by-step explanation:

The fraction ( -4/5 ) will multiply each component in the bracket. That is the (y) and the (x)

So -4/5 × y gives you -4/5y

and -4/5 × x gives you -4/5x

Therefore you have -4/5y - 4/5x

Answer:

there is a 1/4 chance you will not get a clay pot and a 1/4 chance you will not get a cactus

Step-by-step explanation:

Answer:

9/16 from khan academy

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: CD = 90

Explanation:

4b-30=3b

b = 30

3b = CD

3(30) = 90

CD = 90

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

90

Step-by-step explanation:

it is a square and all the edges have same len;

4b-30 = 3b , b = 30

.

3b = 90

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

Answer:

x = -11

Step-by-step explanation:

6x+185 = 8x+207

substract 8 from both side and you will get

-2x = 22

and then divide by -2 and x will be equal to

x = -11

Answer:

this is your answer of first one..

Answer:

C is true also

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

V≈24543.69

Answer:

1250

Step-by-step explanation:

50×25=1250 hope it helps

Answer:

It is going to be the first one.

Step-by-step explanation:

The first time the housing sales will reach their maximum will be in 2030.

Hope it helps! :)

Hope you also have a great rest of your day!

Answer:

364 [tex]mi^{2}[/tex]

Step-by-step explanation:

Answer:

33 % is the answer.

Step-by-step explanation:

The value provided is 10 and possible out comes of getting a result is 3 as there are 3 grades namely (A,B and C) are mentioned. When converted to 100s, 100/33 gives 33.33% as the answer, when rounding off gives 33.

Answer:

Step-by-Margin of Error  = 1.96 x  7.75 = 15.19

step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii)  

iv) therefore Margin of Error  = 1.96  7.75 = 15.19

Answer: 13.5

Step-by-step explanation: