8.(01.02)
Given that f(x) = x2 – 3x + 3 and g(x) =
x-1
4
solve for f(g(x)) when x = 5. (1 point
1
-3
1
9
13

Answers

Answer 1

Answer:

Step-by-step explanation:

so the g(x) = x-1 gets plugged into every  x in the f(x) function

=[tex](x-1)^{2}[/tex] - 3(x-1) + 3

=[tex]x^{2}[/tex]-2x+1 -3x +3 + 3

=[tex]x^{2}[/tex] -5x +7

now plug in x = 5

=[tex]5^{2}[/tex] -5(5) +7

= 7


Related Questions

solve each inequality and graph the solution .

2x-8<4

Answers

Answer:

inequality is x < 6

Step-by-step explanation:

Hi I need help please 10 points for answering questions 3 and 4 correctly please it’s due tomorrow

Answers

Answer:

3. 150%    4. 8.3%

Step-by-step explanation:

Percent error formula is the difference between the actual and estimated divided by actual  times 100.

3.   (5-2) / 2   x  100= 150%

4.  (24-22)/  24  x 100 = 8.3%

What are the common factors of 8 and 16

Answers

factors of 8:
1, 2, 4, 8
factors of 16:
1, 2, 4, 8, 16

common factors:
1, 2, 4, 8

Find all real numbers z for which the equation (z-5)x^2-zx+5=0 only has one real solution. If you find more than one, then list the values separated by commas.

Answers

Step-by-step explanation:

For the quadratic equation to have 1 repeated real solution, the discriminant b² - 4ac must be zero.

=> (-z)² - 4(z - 5)(5) = 0

=> z² - 20(z - 5) = 0

=> z² - 20z + 100 = 0

=> (z - 10)² = 0

Therefore z = 10.

What is the answer?

Answers

Answer:

read explanation

Step-by-step explanation:

rearrange equations to form y=mx+b

-2x+4=2y

-x+2=y

-y=-2x-5

y=2x+5

use these equations to find slope and y intercepts, and match those with the right graph

slope of first: -1

slope of second: 2

y-int of first: 2

y-int of second:5

The Thomas' backyard pool is
rectangular in shape and is
similar to the rectangle formed
by their fenced backyard. The
backyard measures 12 feet long
and 9 feet wide. If the width of
the pool is 6 feet wide, what is
the length of the pool?

Answers

Answer: 8 feet

Step-by-step explanation:

3. Which equation illustrates the associative
property of addition?
A. (x + y) + 3 = x + (y + 3)
B. 3(x + y) = 3x + 3y
C. x + y = y + x
D. x + 0 = x

Answers

Answer: C. x + y = y + x

Step-by-step explanation:

Answer:

A. (x + y) + 3 = x + (y + 3)

Step-by-step explanation-

The associative property of addition allows the numbers grouped within the parenthesis to be switched with the other numbers in the equation to make the problem easier to solve.

Hope this helped!

Lancé le 26 novembre 2011, le Rover Curiosity de la Nasa est chargé d'analyser la planète Mars. il a atterri sur la planète rouge le 6 août 2012, parcourant ainsi une distance d'environ 560 millions de kilomètres en 255 jours. quelle est la durée du vol?

Answers

Answer: La durée de la vol entire est 560 millions de miles. La durée par hour est 2.19 millions de miles par hour.

Step-by-step explanation: Je ne sais pas sûr que Je comprends la question exactement. Si on doit trouver la durée par hour, il faut divider 560000000 par 255.

The top running speed of a giraffe is 250% of the top speed of a squirrel. If a squirrel’s top running speed is 12 miles per hour, find the speed of a giraffe.

Answers

Answer:

30

Step-by-step explanation: First take the fastest speed of the squirrel, and then you multiply it by the percentage (250%). You can this by moving on decimal point to the left from the zero (250% = 2.50). Then multply the speed of the squirrel by said percentage of the girrafe,

12 x 2.5 = 30

4.) Karl started his day with $17 in his wallet. He spent
$5.24 for lunch and $10.65 on a book. How much money
does he have left? (Show your work)

Answers

Answer:

1.11

Step-by-step explanation:

5.24+10.65=15.89

17-15.89= 1.11

good luck

Answer:

1.11

Step-by-step explanation:

hope this helped you! :)

What is the range of the function on the graph?

Answers

Answer:

all real numbers greater than or equal to 2

which is [2, infinite)

Sally had 9/10 of her essay to finish after school for homework.She completed 2/3 of that9/10 before dinner. How much of the essay did she still need to finish her dinner?

Answers

Answer:

3/10

Step-by-step explanation:

2/3 of 9= 6. So 2/3 of the 9/10=3/10

whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?

Answers

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

PLS OMG HELP ME ITS DUE SOON im gonna cry if no one helps, ive been posting these questions all day and no ones actually answering ahauhaiuhshsksjs bye ill just fail

Answers

Answer:

X-Intercepts of the function.

Step-by-step explanation:

You'll do well to remember that. Good luck! I hate math!

Answer:

x intercept

Step-by-step explanation:

a man is twice as old as his son. 20 years ago the sum of their age is 85​

Answers

What do you want solved?

ASAP!!! please help! thanks.​

Answers

Answer:

I think A is the right answer

Tristan has already taken 18 pages of notes on his own, and he will take 1 page during each
hour of class. In all, how many hours will Tristan have to spend in class before he will have
a total of 31 pages of notes in his notebook?

Answers

Make an equation
Y = 18 + 1x
y = total pages, x = hours
plug in 31 for total page
31 = 18 + 1x
Subtract 18 from both sides
x = 13
Solution: 13 hours

(trigonometry) write the tangent ratios for angle P and angle Q. if needed reduce fractions

Answers

Answer:

Step-by-step explanation:

tan P = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]

tan Q = [tex]\frac{3}{4}[/tex]


QS and TV are parallel lines.

Which angles are alternate exterior angles?

the options are
<SRP and <VUW
<SRP and <QRP
<SRP and <TUW
<SRP and <TUR

Answers

Answer:

angle SRP AND ANGLE TUW

what is this? answer quickly please

Answers

Answer: t= 11.5

Step-by-step explanation: 5 + (-11.5+3) = 3.5

Answer:

T = -3.7

Step-by-step explanation:

We begin with the given equation.

5(t+3)=-3.5

Distribute 5 throughout parentheses.

5t + 15 = -3.5

Move 15 to the other side and switch signs.

5t = -3.5 - 15

Combine like terms.

5t = -18.5

Divide by 5t.

t = -3.7

Please help me I need help number three 17 points for all work shown.

Answers

Answer:

15%

Step-by-step explanation:

Actual number = 172Estimated number = 198

Error:

198 - 172 = 26

Percent error:

26/172*100% = 15% rounded to the whole number

Step-by-step explanation:

[tex]\% \: error = \frac{198 - 172}{172} \times 100 \\ = \frac{26}{172} \times 100 \\ = 15\%[/tex]

15%(approx) is the right answer.

Kara's family is thinking about renting an SUV that can travel 6 2/3 miles on 1/6 gallon of gas. Kara wants to know the gas mileage of the SUV.

Answers

Answer: 40

Step-by-step explanation:

Find the reciprocal of the divisor

1/6: 6/1

Multiple it with the dividend

20/3 divided by 1/6= 20/3 x 6/1

20x6 = 120

3x1 = 3

Reduce the fraction: 40/1

Answer:
1st Answer: miles per gallon
2nd Answer: 40
3rd Answer: 1000
Step-by-step explanation:
i just did it on iready and got it right. have fun cheating c:

A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find ​g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!

Answers

Answer:

5484 gallons

Step-by-step explanation:

Given that:

Delivery in 1 day = 457 dozen gallons

g = number of gallons delivered on that day

Recall :

1 dozen = 12

Therefore, the number of gallons delivered in 1 day :

457 gallons * 12 = 5484 gallons

Help please! I really need it now the question is in the screen shot!

Answers

Answer:

A would be the answer

Step-by-step explanation:

8 is the x coordinate and 6 is the Y coordinate

Answer:

The answer is A

Step-by-step explanation:

The point is exactly on 8 and 6, x comes first

i’ll give brainliest

Answers

Answer: The line is dotted and shaded above

Please help ill brainlist 15

Answers

It would be A. Point k had a positive x-coordinate (and y)

Hope this helps

Have a great day/night

Answer:

point K is reflected across the y-axis to create point K'


Help plss don’t answer if ur not sure

Answers

Y=2y-7 that's the answer I gues

An escape room company has found that their nightly revenue (in dollars)
can be modeled by the function R(c) = -0.6c2 + 54c + 100
where c represents the cost of admission.
15) What cost of admission will maximize nightly revenue?
A)
$45.00
C)
$90.00
B)
$54.00
D)
$100.00

Answers

Answer:

B) 54.00

Step-by-step explanation:

A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the​ taxi? Explain

Answers

Answer:

 

A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).

a. Write a system of equations to model the problem.

b. Is it possible that the water skier could collide with the taxi? Explain

Step-by-step explanation:

Write an expression for the sequence of operations described below.
double the quotient of 6 and k

Answers

Answer:

blue

Step-by-step explanation:

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