What are the x-intercepts of this conic section?



(−3, 0) and (3, 0)

no x-intercepts

(0, −3) and (0, 3)

(−3, 3) and (3, −3)

The function (fg)(x) is a composite function

The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

The functions are given as:

f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.

To calculate (fg)(x), we make use of

(fg)(x) = f(x) * g(x)

So, we  have:

(fg)(x) = (2x^2 - 3x - 4) * (x + 5)

Expand

(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20

Collect like terms

(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20

Evaluate

(fg)(x) = 2x^3 + 7x^2 - 19x - 20

Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20

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Answer:

1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or each of those is a counting number that can be multiplied by another counting number to make 12).

Step-by-step explanation:

hope this helps.

Answer:

Step-by-step explanation:

The given circle has equation

[tex] \sf \: x^2+y^2=16x[/tex]

The equation of a circle with center (h,k) and radius r units is

[tex] \sf(x-h)^2+(y-k)^2=r^2(x−h) [/tex]

[tex] \sf(x-7)^2+(y-5)^2=4^2(x−7)[/tex]

[tex] \sf(x-7)^2+(y-5)^2=16(x−7) [/tex]

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

Answer:

Width: 11.5 inches; Length: 16.5 inches

Step-by-step explanation:

Let l=length and w=width

l=w+5

2(w+5)+2w=56

4w=46

w=11.5, l=16.5

Answer:

⠀

Step-by-step explanation :

⠀

As it is given that, the length of a rectangle is 5 in longer than its width and the perimeter of the rectangle is 56 in and we are to find the length and width of the rectangle. So,

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Let us assume the width of the rectangle as x inches and therefore, the length will be (x + 5) inches .

⠀

Now, According to the Question :

⠀

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{2 ( x + 5 + x )= 56 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{2 ( 2x + 5 )= 56 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{ 4x + 10= 56 }}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{ 4x = 56 - 10}}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{ 4x = 46}}}}[/tex]

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[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{46}{4} }}}}[/tex]

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[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 11.5}} }}} }\: \: \bigstar[/tex]

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Therefore,

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = x + 5 }}}}}[/tex]

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[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 11.5 + 5 }}}}}[/tex]

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[tex]{\longrightarrow \qquad{\underline{\boxed { \frak{\pmb{Length = 16.5}}}}}} \: \: \bigstar[/tex]

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Therefore,

⠀

Answer:

El area del trapecio mresponde a la relación

                      A = 1/2(B + b)*h

                          B = base mayor

                           b = bas menor

                           h = altura

En el caso en esrudio

                                              250 = 1/2(B + 20)*10

                                     2*250/10 = B + 20

                                                50 = B + 20

                                        50 - 20 = B

                                                  B = 30

                                                                BASE MAYOR = 30 PIES

Answer:

Mode

Step-by-step explanation:

As you can see, the mode on the first data set is 10, the mode on the other is 30.

Answer: It is a connected series of line segments such as the image shown below.

Hope this helps!

Answer:

x = -3.5

y = 1.5

so W = (-3.5, 1.5)

Step-by-step explanation:

The semi-annual net cash flow the company must achieve in order for the purchase to be made is $2500.

Number of period = 6 × 2 = 12

Rate = 4% / 2 = 2%

Annual cash flow × PVIFA × (2% × 12) + $7500 × PVIF(2%,12) - $32348 = 0

Annual cash flow × 10.5753 = $32348 - $7500 × 0.7885

Annual cash flow × 10.5753 = $32348 - $5914

Annual cash flow × 10.5753 = $26434

Annual cash flow = 26434/10.5753

Annual cash flow = $2500

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Answer:

I don't know if these are right

2.756

3. 1,426.42

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

Answer:

Answer: x = 10 degrees.

Step-by-step explanation:

Answer:

$365.37

Step-by-step explanation:

add the hours up which is 20+19.5=39.5

then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37

Answer:

3D shape = cone

height = 3 units

diameter = 6 units

Step-by-step explanation:

3D shape = cone

height = 5 - 2 = 3 units

radius = 0 - (-3) = 3 units

diameter = 2 × radius = 2 × 3 = 6 units

Answer: 32.

Step-by-step explanation: Assuming that the first 4 numbers count, the sequence goes as follows:

-6, -4, -2, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, and 32.

Let me know if this is right! :)

Answer:

  (c)  f(x) = 500(5^x)

Step-by-step explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

__

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

  f(x) = 100(5)^x   ⇒   f(0) = 100·1 = 100 ≠ 500

  f(x) = 100(x^5) . . . not an exponential function

  f(x) = 500(5)^x   ⇒   f(0) = 500·1 = 500 . . . . . the function you're seeking

  f(x) = 500(x^2) . . . not an exponential function

Answer:

a

Step-by-step explanation:

Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= 27°F was the change in temperature.

The change in temperature from 2:00 PM to 10:00 PM is -27° F.

Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.

Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.

Temperature is usually measured in degree Celsius or degree Fahreheit.

Temperature at 2:00 PM = 18° F

Temperature at 10:00 PM = -9° F

Change in temperature = Final temperature - Initial temperature

                                       =  -9° F - 18° F

                                       = -27° F

Hence, the change in temperature can be calculated as -27° F.

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#SPJ2

Step-by-step explanation:

f(x) = x√(x+8)

When f(x) = 0,

0 = x√(x+8)

x = 0, x + 8 = 0

x = -8

f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0

0 = √(x+8) + 1/[2√(x+8)] (x)

-2(x+8) = x

-2x - 16 = x

x = -16/3

(-8 < -16/3 < 0)

Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.

Answer:

I think the A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

PLEASE please please please please please please I need it Badly

Answer:

68

this will be your maximum because of where the dot ends

Answer:

904.78 cubic inches

Step-by-step explanation:

Since a beach ball is a sphere, use the formula for volume, V = 4/3 * pi * r^3 to find the volume of the beach ball, using 6 for radius since diameter is two times the radius and the diameter is 12 inches. 4/3 * pi * 6^3 = 904.78, so that many cubic inches of air would be needed to inflate the beach ball.

Hopefully this helps- let me know if you have any questions!

Answer:

(0.4x + 6y)²

Step-by-step explanation:

rsm sucks. i have a 5 hour class tomorrow and i hate it but here you go this is the right answer

Answer:

the answer is answer nice answer my answer

Step-by-step explanation:

if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer

Answer:

Step-by-step explanation:

∠DEH=∠IHE (alternate angles)

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

Answer:

24x8+3+9=$44,839 a month

Step-by-step explanation:

that is correct

Step-by-step explanation:

Hey there!

Answer: = 15.3296% decrease

How to Calculate Percentage Decrease

=> 539.22 - 456.56

=> 79.66

=> 79.66 ÷ 539.22

=> 0.153296

=> 0.153296 × 100

=> 15.3296%

If the percentage is negative, it means there was an increase and not an decrease.

Therefore, percentage decrease is 15.3%

Answer:

Given function:

t(s) = 3s + 20

where:

Given function:

s(d) = 20d

where:

To determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:

⇒ t(d) = 3(20d) + 20

⇒ t(d) = 60d + 20

The unit of measurement is how many palm trees Carlos can expect to grow over a certain number of days:

[tex]\sf \dfrac{palm \ trees}{days}[/tex]