Let f(x) = 5x3 − x2 − 60x + 12 and g(x) = 5x − 1. Find f of x over g of x.


A. x2 − 12

B. 5x2 + 4x

C. x2 − 12x

D. 5x2 + 4

Answer:

4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then minimum value

• If a < 0 then minimum value

For

f(x) = x² + 16x + 3

a = 1 > 0 then f(x) has a minimum value

The minimum is the value of the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

Here a = 1 and b = 16 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{16}{2}[/tex] = - 8

To find the y- coordinate of the vertex, substitute x = - 8 into f(x)

f(- 8) = (- 8)² + 16(- 8) + 3 = 64 - 128 + 3 = - 61

Thus the function has a minimum value of - 61 → D

Answer:

a+b

Step-by-step explanation:

Answer:

The slope is -2/-3

Step-by-step explanation:

Look at the X-axis and go up to the point

Answer:

4/-2

Four over -2

Is your slope.

Your y-intercept is -1

Step-by-step explanation:

Answer:

Angle 3

Step-by-step explanation:

They are both interior angles as well as on the other sides of the transverse

Answer:

the answer is x=5

Step-by-step explanation:

hoped I helped:)

Answer:

x = 5

Step-by-step explanation:

6(5) - 3 = 3(5) + 12

30 - 3 = 15 + 12

27 = 27

Answer: Since x2=6, the width of the rectangle is x-6.

Explanation: factor x^2-4x-12.

given that length=x+2 and area of rectangle = length * width

all you have to do is find the width

there are several way to do this, here is one:

Since one factor of x^2-4x-12 is x+2, x1=-2 is a solution to x62-4x-12=0 so in order to find the other solution, you can use the sum and product properties.

x1*x2= -12 with x1=-2, so x2=6.

Since x2=6, the width of the rectangle is x-6.

Answer:

Step-by-step explanation:

    64^(1/3)       in English it is 64 to the one third power

9514 1404 393

Answer:

  n = 99

Step-by-step explanation:

The sum of logarithms is the log of a product. Here, the sum of terms is ...

  log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)

  = log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)

So, the question reduces to ...

  log(n+1) = 2

Taking antilogs, we have ...

  n +1 = 10^2 = 100

  n = 99

The value of n that makes the sum 2 is 99.

Answer:

-15

Step-by-step explanation:

(17+3)-(5×7)

=20-35

= -15

(Ans)

Answer:

9/81

Step-by-step explanation:

Too long for me to explain it

Answer:

126 degrees

Step-by-step explanation:

Angle 4 is supplemnetary to angle 3..which means both of their angles add up to 180 degrees

We can take the angle of 3 whihc is 54 degrees and subtract that from 180 to determine angle 4:

180 - 54 = 126

Angle 4 is 126 degrees

Answer:

I’ll never have no idea

Step-by-step explanation:I have no idea

Answer:

1st and 3rd and 5th

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.

Answer:

-1  3/4  or  -1.75

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest !!!

Answer:

146 = x

Step-by-step explanation:

20+14=34

180 - 34 = 146

:)

2p²+3p²+5-1

2p²+3p²+4

5p²+4

Answer:

Step-by-step explanation:

Answer:

you got 12 more then your friend, 45-23

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

We can already assume that the freight train is 60 miles ahead of the express. If the freight is going at a constant of 30 mph and the express goes 50 mph then we can say that when the freight train has been gone for 6 and the express for 4 the express will have passed the freight. The reason as to why would be that 60 + 120 = 180 or 60 + (30 x 4) = 180 and 50 x 4 = 200 .

Sorry if that explanation doesn't make sense but I hope this helped.

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.

The percentage of the total shots attempted by this player that were successful will be:

= 13/50 × 100

= 26%

Step-by-step explanation:

I hope it is helpful to you

Answer:

15/4

Step-by-step explanation:

(-5,-10) and (-1,5)

y2-y1/x2-x1

5+10 / 4

15/4

Answer:

Step-by-step explanation:

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

here are the answers!

1)

(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

9x=243, divide each side by 9

x=27

2)

(x-16)/(x+6)=3/5, cross multiply

5(x-16)=3(x+6)

5x-80=3x+18, subtract 3x from each side

2x-80=18, add 80 to each side

2x=98, divide each side by 2

x=49

3)

Since the triangles are similar we can say that

25/(4x-1)=10/(x+5), cross multiply

25(x+5)=10(4x-1)

25x+125=40x-10, subtract 40x from each side

-15x+125=-10, subtract 125 from each side

-15x=-135, divide each side by -15

x=9

Answer:

(0, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 4, 8) and (x₂, y₂ ) = (4, - 2) , then

midpoint = ( [tex]\frac{-4+4}{2}[/tex], [tex]\frac{8-2}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (0, 3 )

Answer:

B I think

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Volume = π x r^2 x h

Hope that helps!

-Sabrina

Answer:

B. Associative Property of Addition

Step-by-step explanation:

Answer:

I think its 57

Step-by-step explanation:

the difference of 6 divided by 2 is 3

i just divided 171 by 3 and got 57

Answer: 1

Step-by-step explanation:

0+2/2=1 so 1 is the midpoint of VW