Given that f(x) = x2 - 6x – 16 and g(x) = x + 2, find (f=g)(x) and express
the result in standard form.

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

and solve for

y

.

x-intercept(s):

(

2

,

0

)

,

(

8

,

0

)

y-intercept(s):

(

0

,

16


Related Questions

PLEASE HELP !!!!!!!! What is the equation of the directrix for the following parabola: -8(x-5)=(y+1)^2

a. y=-3
b. x=7
c. y=7
d. x=-3

Answers

Answer:

x=7

Step-by-step explanation:

The directrix of the equation is x=7

What is directrix of parabola?

The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.

The directrix of the parabola y^2 = 4ax, having x-axis as its axis, passes through (-a, 0), and has the equation x + a = 0.The directrix of the parabola y^2 = -4ax, having x-axis, passes through (a, 0), and has the equation x - a = 0.The directrix of the parabola x^2 = 4ay, having y-axis as its axis, passes through (0, -a), and has the equation y + a = 0.The focus of the parabola x^2 = -4ay, having y-axis as its axis, passes through (0, a), and has the equation y - a = 0.

Given:

-8(x-5)=(y+1)²

Now, using the definition of directrix

x= 8/4 +5

x= 2+ 5

x= 7

Learn more about directrix here:

https://brainly.com/question/17376399

#SPJ2

An art dealer makes 17.5% commission on every painting sold. If a painting sold for $1,500, what was the commission?

Answers

Answer:

262.5 dollars

Step-by-step explanation:

17.5% of 1500 is 262.5

Answer:

262.50

Step-by-step explanation:

change 17.5% into 0.175 then multiply it by 1,500

If (x - 2)2 + 5(x - 2) = -6, which of the following could be the value of x - 2?
A
-1
B
-3
C
-4
D
-5

Answers

Answer: A. -1

Step-by-step explanation:

(x - 2)2 + 5(x - 2) = -6

2x-4 + 5x -10= -6

Combine like terms

7x-14=-6

Add 14 to both sides

7x=8

Divide

X= 8/7 or 1.14 (rounded)

1.14 - 2= -0.86 which can be rounded to -1

Can someone pls help me find the area of this please

Answers

12.56

Step-by-step explanation:

A = π x r^2

r =2

2^2 = 4

π × 4 = 12.56

Lisa got a $50 gift card to an online music store. She uses the gift card to buy an album for $10. She also wants to use the gift card to buy some individual songs. Each song costs $1.50.

Which of these inequalities describes the situation for the total amount that Lisa can spend, where n is the number of songs Lisa wants to buy?

Group of answer choices

10 - 1.50n ≤ 50

10 + 1.50n ≥ 50

10 - 1.50n ≥ 50

10 + 1.50n ≤ 50

Answers

Answer:

The fourth answer choice: 10 + 1.50n < 50

I would appreciate Brainliest but no worries.

Find the Circumference and Area of the circle with a diameter of 3 inches.

Answers

Answer:

Circumference-18.84956, rounded, 18.85

Area- 28.27433, rounded-38.27

Answer:

C≈9.42in

A≈7.07in²

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·3≈9.42478in

A=πr2

d=2r

A=1

4πd2=1

4·π·32≈7.06858in²

Hope this helps!

find the solution to the system of equations.

Answers

I got (-1,1) hope this helps

a baker made 192 trays of muffins. they were 14 muffins in each tray. how many muffins were there in all?

Answers

2,688 muffins
192 (trays) x 14 (muffins in each tray) = 2688 (total muffins)

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.

Find the volume of a cone with a height of 8in and a base radius of 3in.

Use the value 3.14 for pi, and do not do any rounding. Be sure to include the correct unit in your answer.

Answers

Answer:

75.36 in3

Step-by-step explanation:

Mark me brainliest?

This is the correct answer with the right steps to help you solve this problem. The Formula for the cone is (pi r^2)(h)/ 3

the diagonals of the rectangle have these equations. y= 4x - 10 y= -4x + 8 find where these lines intersect

Answers

hi

if it's intersect, then :  

4x-10 = -4x+8

-10-8 = -4x-4x

 -18  = -8x

 -18/-8 = x

   18/8 = x

   9*2 /4*2 = X

   9/4 = X

So X is  9/4   then y  is  :   4( 9/4) -10 =  9-10 = -1  

Lines intercept at   (  9/4 ; -1)

Pls answer this I will give 10 points and brainlest for 4 to 6 answers

Answers

Answer:

wheres the question

Step-by-step explanation:

Select the three ratios that represent the numbers of blue marbles to red marbles, there are 6 blue marbles and 9 red marbles

Answers

Answer:

6:9 or (2:3)

Step-by-step explanation:

A ratio is a term that gives comparison of values. It helps to determine

how much of a particular thing that is compare to other thing.

Given:

numbers of blue marbles= 6

numbers of red marbles= 9

Hence, ratios that represent the numbers of blue marbles to red = 6:9

We can reduce it using factor of 3, hence the ratio becomes(2:3)

what is the area of the figure below?​

Answers

Answer:

250

Step-by-step explanation:

You have to find the triangle area and the rectangle and then add them.

Rectangle - 10*20 = 200

Triangle - (10*10)/2 = 50

Area - 200 + 50 = 250

Which quadrant point (0,2) is located in the coordinate plane

Answers

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps

Which of the following words/phrases does not belong? rate of change, y-intercept,slope, change in y/change in x HURRY ILL GIVE BRAINLEST

Answers

Answer

rate of Change is the odd one I think

1)encontre a fraçao geratriz das dizimas periodicas simples a seguir

Answers

De lá lá de inglês para português e de inglês de futebol

The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.

Answers

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!

Answers

Answer:

plant cell only : cell wall is outer structure, may contain chloroplasts, has cytoplasm

animal cell only : produces waste, can have an irregular shape, contains DNA, maintains homeostasis,cell membrane is outermost part

both: everything that's left

6. Select the expression that is equivalent to 24 + 64x
. A 8(3 + 8x)
B (8.3) + (8.x)
C 4(6 + 8x)
D 4(6 + x)​

Answers

the answer is a 8*3 =24 and 8*8=64x

Answer:

A

Step-by-step explanation:

A. 8(3+8x)

8 times 3 is 24. 8 times 8 is 64 making it 24+64x

HELP PLEASE 12 POINTS

Answers

Answer:

b. 4m

Step-by-step explanation:

congruent polygons means same shape, size, angles, and sides.

Can someone please help me

Answers

Answer:

I think the answer is b

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

What C is essentially saying is that if the lines l and m intersect and form two angles next to each other that are equal then they will be 90 degrees

this is true because if two lines intersect they will form 4 angles and since vertical angles are equal the only way for adjacent angles to be equal is for everything to be 90 degrees which then makes the lines perpendicular

Will give brainliest! Please help

Answers

Answer: 1,2,3,4,5

1a,3b,5c,2d

Step-by-step explanation:

(HELP ILL GIVE BRAINLY PLEASE)

Answers

Answer:

4 is 2059

5 is 6xy^2

Step-by-step explanation:

(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible

Answers

Answer:

Likely

Step-by-step explanation:

The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.

4. Before tax, you make $575 every paycheck. If 8% is deducted for taxes, how much tax is taken from your
check?
A) $46 B) $529 C) $621 D) $460

Answers

Answer:

A . $46

Step-by-step explanation:

because 575 - 8% = 529

529 + 49 = 575

Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

IM NOT SMART SUBSTITUTION METHOD AGAIN

Answers

Answer:

x = 6

y = -3

Step-by-step explanation:

15x + 31y = -3

we are given that x =( - y + 3 )

so in the equation 15x + 31y = -3 we substitute "x" for ( -y + 3 ) and we solve for y

so 15 ( -y + 3 ) + 31y = -3

now we use basic algebra to solve for y

step 1 distribute the 15

15 * -y = -15y

15 * 3 = 45

now we have 45 - 15y + 31y = -3

step 2 combine like terms

-15 + 31y = 16y

now we have 45 + 16y = -3

step 3 subtract 45 from each side  

-3 - 45 = -48

45 - 45 cancels out

now we have 16y = -48

step 4 divide each side by 16

16y/16=y

-48/16=-3

we're left with y = -3

Now to find x we substitute -3 for y in x  = -y + 3

* substitute *

x = - ( -3) + 3

the two negative signs cancel out and we get x = 3 + 3

3 + 3 = 6

we're left with x = 6  

The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet. A. B. C. D.

Answers

Answer:

502.4ft^3

Step-by-step explanation:

Given data

Height= 10ft

radius= 4 ft

Hence the volume for the cylinder can be gotten as

v= πr^2h

v= 3.14*4^2*10

v=3.14*16*10

v=502.4ft^3

Therefore the volume of the cylinder is 502.4ft^3

slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!

Answers

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

Change this fraction into a decimal: 80/100

.8


.08


8.0

.008




will give brainlist!!!

Answers

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

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