o Watch help video
-
=
Given that f(x) = x2 - 6x + 8 and g(x) = X – 2, find (fºg)(x) and express
the result in standard form.

Answers

Answer 1

Answer: [tex]x^{2} -7x+10[/tex]

Explanation:

Get the result ⇒ [tex]f(x)-g(x)=(x^{2} -6x+8)-(x-2)[/tex]

Remove the parentheses ⇒ [tex]x^{2} -6x+8-x+2[/tex]

Reorder and gather like terms ⇒ [tex]x^{2} +(-6x-x)(8+2)[/tex]

Collect the coefficients for the like terms ⇒ [tex]x^{2} +(-6-1)*x+(8+2)[/tex]

Calculate the sum or difference ⇒ [tex]x^{2} -7x+(8+2)[/tex]

Calculate the sum or difference ⇒ [tex]x^{2} -7x+10[/tex]

Convert to required form ⇒ [tex]x^{2} -7x+10[/tex]

Answer ⇒ [tex]x^{2} -7x+10[/tex]


Related Questions

what does the size or dimension of the matrix tells?​

Answers

Answer:

The dimensions of a matrix are the number of rows by the number of columns.

-16x^2+150x=425 solve for x​

Answers

Answer:

[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]

Step-by-step explanation:

Helppp!!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals




degrees

Answers

68 degrees

The Isosceles triangle has two angles of 56 and one angle of 68.

Answer:

68

Step-by-step explanation:

Khan

Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality

Answers

Answer:

Step-by-step explanation:

A+C+B>35

A = 7

B = 14

C = 2

A+B+C<35=

23<35

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Take the info given
perimeter formula… P = 2L + 2W
so…
30 = 2L + 2W
and L is twice the width
so…
L = 2W

substitute L for 2W and solve for W
2W + 2(2W) = 30
2W +4W = 30
6W = 30
W = 5
If L is twice as long as W (L = 2W) then
L = 10

the area formula.. A = L * W
so
A = 10 * 5

The area of the rectangle is 50cm^2
or 50 square centimeters



Which question cannot be answered by the solution to the equation 3x=27 ?

Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

Answers

Answer:

C

Step-by-step explanation:

"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "

Hope this helps :)

Question 6 of 25
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red
marble. What is the probability of not selecting a yellow marble?
O A.4/5
о B.3/5
c.2/3
OD. 1/3

Answers

Answer:

2/3

Step-by-step explanation:

Add all the number of marbles.Now you have 15 in total. 10 of them are not yellow. 10/15 simplified equals 2/3

Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pay 7% sales tax on any purchase, how many dollars would Monica have saved by waiting to buy the sweater on sale?

A. $12.84

B. $12.00

C. $2.52

D. $0.84

Answers

Answer:

A  $12.84

Step-by-step explanation:

Sweater was originally $48.00 before tax.  $48.00 x 7% tax rate (.07) = $3.36 in tax

So the sweater originally would've cost $48.00 + $3.36 = $51.36

The sale price was 25% off the $48.00.  $48.00 x 25% (.25) = $12.00

Then you subtract the $12.00 from the $48.00 to get the new price of $36.00

Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax

So the sweater would cost on sale $36.00 + $2.52 = $38.52

To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84

For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x+10x
O 17 + x
10x - 7x
0 17x
(b) 2(1 + 8y)
0 2 +1.2 + 8y
0 2 +16y
02.1+28y
2+8y
Ugh I can’t figure them all out please help me

Answers

For (a), it would be the first one and the last one, since all of the factors are terms with variables attached and cannot be disconnected from one another.

For (b), it would be the second one since you have to use distributive property, and when the 2 is multiplied by the 8, there has to be a 16 in the mix somewhere.

Hope this helps!

Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?

Answers

Answer:

$706

Step-by-step explanation:

$17.65 per hour

40 hours worked

17.65 · 40 = $706

Hope this helps and God bless!

Hal has 4/8 yard of string. How many 1/12 yard pieces of string can he cut from 3/4 yard?​

Answers

Answer:

9

Step-by-step explanation:

3/4=0.75

1/12=0.0833333333

(3/4)/(1/12)=9

Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
Please help

Answers

Check the picture below.

so the solid produced will be a cylinder with a hole in the middle, like you see in the picture, hmmm so we could get its volume by simply getting the outer cylinder and subtracting the inner cylinder, or we can just get the volume of the ring on the left and multiply it by its length, so let's do the that.

[tex]\textit{volume of a ring}\\\\ V=\pi (R^2-r^2)~~ \begin{cases} R=\stackrel{larger}{radius}\\ r=\stackrel{smaller}{radius}\\[-0.5em] \hrulefill\\ R=3\\ r=1 \end{cases}\implies V=\pi (3^2-1^2)\implies V=8\pi \\\\\\ \stackrel{\textit{\large volume of the hollow cylinder}}{\stackrel{\textit{volume of the ring}}{(8\pi )}\qquad \stackrel{length}{(6)}\implies 48\pi ~~\approx~~150.80}[/tex]


Which of the following is a solution of

Answers

[tex]\frac{7+\sqrt{13}}{6}[/tex]  is the answer

Step-by-step explanation:

QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15​

Answers

Answer:

15

Step-by-step explanation:

Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4

answer this and win 20 points

Answers

Answer:0.18%

Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.

Find the surface area of the regular pyramid. HELP QUICK!! (Asking again because the commenter DankBoi18 tried to put a virus on my pc)

Answers

We will see that the surface area of the triangular pyramid is equal to 170.1 yd^2

How to get the area of the pyramid?

Remember that the area of a triangle is equal to:

A = (1/2)*b*h

Where b is the base, and h is the height.

On the triangular pyramid, we have 3 faces with a base of 9 yards and a height of 10 yd, so the area of these 3 faces is:

A  = (1/2)*(10 yd)*(9 yd) = 45 yd^2

Also, we can see that the bottom face has a base of 9 yards and a height of 7.8 yards, then its area is:

A' = (1/2)*(9 yd)*(7.8 yd) = 35.1 yd^2

So the total surface area of the pyramid is:

S = 3*A + A' = 3*45 yd^2 + 35.1 yd^2 = 170.1 yd^2

If you want to learn more about pyramids, you can read:

https://brainly.com/question/10042135

Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Answers

Answer:1/8

Step-by-step explanation:

well the total amount you have of cards is 36 so you will have 4/36 now you just need to reduce and you will get 1/8

The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero (−2, 0), (0, −16), (3, −25), (8, 0) (x, x2 − 6x − 16) for all real numbers (−2, 0), (8, 0) (x, y) for all real numbers

Answers

Let's find out zeros

x²-6x-16=0x²-8x+2x-16=0(x-8)(x+2)=0x=8 or -2

x intercepts

(8,0) U (-2,0)

A _________ number differs from an integer because it has an integer part and a fractional part, even if the fractional part is 0

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers are integers with fractional number for example 2/9 is a rational number and so is 4/5 ,6/10, 2.5 ,6 ,9 etc.

Describe any patterns observed between buffer capacities and the concentration of acid or base in each buffer solution.

Answers

The higher the concentration of species in solution, the higher the buffer capacity.

What is a buffer?

A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.

We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of  [HA] to [A⁻] concentration.

Learn more about buffer: https://brainly.com/question/3435382?

Shelley is making strawberry popsicles to have by the pool on a hot summer day. She
combines the ingredients in a blender shaped like a square prism with a 4-inch by 4-inch
square base. When she is done blending, the strawberry popsicle mixture fills the blender to
a height of 5.8 inches. The popsicle molds she will fill are cylindrical with a radius of 0.6
inches and a height of 4.5 inches.
What is the maximum number of popsicle molds Shelley can fill completely with the popsicle
mixture?
in

Answers

Answer:

18

Step-by-step explanation:

Explanation is in photo

& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2

Answers

Answer: I am not really sure but I think its c

Step-by-step explanation:

we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]

Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.

Answers

Answer:

Angle x measures 33.5 degrees.

Step-by-step explanation:

From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,

Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:

[tex]x+23+x=90[/tex]

By collecting similar terms the equation which represents a relation between these angles is:

[tex]2x+23=90[/tex]

Now, by subtracting 23 to both sides, we obtain:

[tex]2x=90-23\\2x=67[/tex]

and by dividing both sides by 2, we get

[tex]x=\frac{67}{2}[/tex]

[tex]x=33.5\\[/tex]

Then angle x measures 33.5 degrees.

what is 100 - 100 -10 equal it does not equal -10 though that answer is wrong

Answers

Hey there!

100 - 100 - 10

= 0 - 10

START at 0 and go UP 10 spaces

= -10


Thus, yes it does equal to -10


Good luck on your assignment and enjoy your day!


~Amphitrite1040:)

Which expression is equivalent to (x^1/4y^16) ^1/2

Answers

Answer:

x^1/8 y^8

Step-by-step explanation:

=   x^(1/4 * 1/2) y^(16 * 1/2)   =

What is the Length of the side LM?

Answers

Answer: 12

Step-by-step explanation:

Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1

Answers

The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5

Linear functions

Linear functions are functions that have a leading degree of 1. The linear equation is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (2, 14) and (6, 19)

Determine the slope

Slope = 19-14/6-2
Slope = 5/4

For the y-intercept

14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5


Determinethe required linear equations

y = 5/4 x + 11.5

Learn more on linear equation here https://brainly.com/question/1884491

Write a story problem with a diver and the values -20 and +15.

Answers

A diver is on a 5 foot ledge and dives down 20 feet and comes back up 15

What is 1/4 plus 1/2 equal to in a fraction

Answers

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]

of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag? ​

Answers

Answer:

5/13

Step-by-step explanation:

Total amount of marbles: 5 + 5 + 3 = 13

5 out of 13 are green.

You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.

Other Questions
8. Dimensions and Construction. The Space Needle is 605 feet (184m)tall, the rough equivalent of 60 stories, though it only has a fewMoors. The outdoors observation deck, along with a cafe andhistorical information can be found at 520 feet (158m). Theobservation deck is circular, with a 138 foot (42m) diameter.observation decka) What is the Circumference of the observationdeck? Use the formula C=21tr = d.Round your answer to the nearest tenth. what amount is closest to a quart 100 milliliters or 500 milliliters or one liter or 10 liters What is the name of the hbcu on a different world?. A poll worker analyzing the ages of voters found that mu = 65 and sigma = 5. what is a possible voter age that would give her zx = 1.14? round your answer to the nearest whole number. 59 66 71 90 Can anyone help me pls ( I'll give brainliest) Stephanie is helping her band collect money to fund a field trip.The band decided to sell boxes of chocolate bars. Each bar sellsfor $1.50 and each box contains 20 bars. Below is a partial tableof monies collected for different numbers of boxes sold.Boxes Sold (b) Money Collected (m) 1 $302 $603 $904 $1205 $1506 $1807 $2108 $2401.) Complete the table above for all values of m.2.) Which is the independent variable?3.) Which is the dependent variable?4.) Write an equation for the amount of money, m, that will becollected if b boxes of chocolate bars are sold.5.) Graph the equation using the ordered pairs from the tableabove.(Dont forget to label your axes and increments!)6.) How much money will be collected if 100 boxes of chocolatebars are sold?7.) The band collected $1530 from chocolate bar sales. Howmany boxes did they sell? What is the equation of the line passing through the point (2,3) and perpendicular to the line y = 2x+7 If you pull a permanent magnet rapidly away from a tank circuit, what is likely to happen in that circuit?. Which of these makes a small blueprintof DNA?A. tRNAB. ATPC. mRNAD. rRNA The americans with disabilities act was widely unpopular with governors and mayors because it:. Pls help algebra 1A clerk earns $125 per day, plus a commission equal to10% of her sales, s. The clerk earns less than $180 onMondayEnter an inequality that represents all possible values forthe clerk's sales, s, on Monday. How did president abraham lincoln react to the idea expressed in jefferson daviss inaugural address?. What is the answer for 4/7x5/3x3/4= ? I WILL GIVE BRAINLIST IF ANSWERED CORRECTLY!! Read the passage.excerpt from "What to the Slave is the iS Fourth of July?" byspeechAmerica is false to the past, false to the present, and solemnly binds herself to be false to the future. Standing with God and the crushed and bleeding slave on this occasion , I will, in the name of humanity which is outraged, in the name of livery which is fettered, in the name of the constitution and the Bible, which are disregarded and trampled upon, dare to call in question and to denounce, with all the emphasis I can command, everything that serves to perpetuate slavery the great sun and shame of America ! Refer to Explorations in Literature for a complete version of this speech How does Douglass use parallelism in this excerpt? A) to emphasize his claim that slavery should have no place in the land of the free B) to present compelling evidence in defense of Americas legacy of slavery C) to communicate important background information about slavery in America D) to establish that as a former slave he has the authority to discuss this topic Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds? assume that right of center is a positive distance and left of center is a negative distance. d = 9 cosine (startfraction pi over 4 endfraction t) d = 9 cosine (startfraction pi over 2 endfraction t) d = 18 cosine (startfraction pi over 4 endfraction t) d = 18 cosine (startfraction pi over 2 endfraction t) About 300 Frenchmen were killed or captured in the Beaver Wars, reducing the population of New France by: ________ If an atom has five protons, five neutrons, and five electrons, what is the overall charge of the atom? Show all work pls and thank :-) define and explain cold war i need help pls could you answer this?Find the mean, median and mode of this data. Round to the nearest dollar if necessary. what are the 3 differences of Commedia Dell'Arte and Elizabethan Theatre?what are the 3 Similarities of Commedia Dell'Arte and Elizabethan Theatre?