The value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
What is composite function?When a function is written inside the another function, then such function is called the composite function.
The first function given in the problem is,
[tex]f(x) = x^2 - x - 2[/tex]
The second function given,
[tex]g(x) = - 6x - 8[/tex]
To find out the value of g(2), put the 2 on place of variable x in the above equation as,
[tex]g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20[/tex]
The composite function f(g(x)) can be given as,
[tex]f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418[/tex]
Thus, the value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
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c) The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain.
Answer:
yes
Step-by-step explanation:
30% of 42 is 12.60 so 42.00 +12.60= 54.60
and 25% of 54.60 is 13.65 so 54.60 + 13.65 = 68.25
so the Original price is $68.25
The original price of the phone case is $93.33
What is a discount?Discounting is the process of determining the present value of a payment or a stream of payments that is to be received in the future.
Given that, the phone case, is marked down 30%, and we have a 25% off coupon, paid $42.00, for this in whole, we are asked to find the original price,
Let the original price be x,
Therefore,
x - (30% of x + 25% of x) = 42
x - (30/100 · x + 25/100 · x) = 42
x - (0.3x + .25x) = 42
x - 0.55x = 42
0.45x = 42
x = 93.33
Hence, the original price of the phone case is $93.33
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What is true about a figure and an image created by a translation? Select all that apply. A. Each point in the image has the same x-coordinate as the corresponding point in the figure. B. Each point in the image moves the same distance and direction from the figure. C. The figure and the image are the same shape. D. The figure and the image are the same size.
Answer:
C. The figure and the image are the same shape.
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!
How many multiples of 5 are there between 176 and 389
Answer:
I think its 4 2 because I did thetheath for miles and it was 42 times and no dont say im copying the person that commented the answer no im.im.not and if u still think it is then no im not just saying im not copying the person answer
Step-by-step explanation:
The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?
The solution is (1, 1), refer to the image :)
Answer:
(1,1) x=1 y=1
Step-by-step explanation:
On a piece of paper, use a protractor to construct a triangle with angle measures of 30° and 120°. Which statements about this triangle are true? Select all correct answers. The third angle measures 30°. Two sides have the same length. The third angle measures 75°. The third angle measures 90°. All sides have different lengths.
Answer:
A. The third angle measures 30*
B. Two sides have the same length
The statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
Triangle with angle measures of 30° and 120°
Third angle measure = 180–30 – 120 = 30 degree
Two angles measures are same, and two sides have the same length.
Thus, the statement first “The third angle measures 30°” and statement second “Two sides have the same length.” are correct.
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Jackson buys a new shirt that is originally listed as $14.00. The shirt is 25% off the original price.
NEED ASAP DUE IN 2 MINUTES EXTRA POINTS IF U ANSWER IT NOW
The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. How many hours does Jesse spend at the Robot Factory?
Answer:
4 hours
Step-by-step explanation:
the visiting fee is 18 dollars and the fee for every hour is 6 dollars
1 hour is 6
2 is 12
3 is 18
4 is 24
plus the visiting fee of 18 makes 32
Answer:
jesse spends 5 and a half hours at the factory
Step-by-step explanation:
Help help I need this
Answer:
8.725 as a mixed number = 8 29/40
Step-by-step explanation:
ez
Indicate whether x and y show direct variation.
3 + y = 5x
Answer:
Let's understand the solution in detail.
Explanation:
Given: 5x = 3y
We can rearrange it as y = 5x / 3
Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.
Here k = 5 / 3.
Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.
A rectangle with an area of x2 – 4x – 12 square units is represented by the model. An algebra tile configuration. In the Product spot are 21 tiles in 3 rows. 1 tile is labeled x squared. In the same row are 6 tiles labeled negative 6. Below x squared are 2 tiles labeled x, and to the right of the x tiles are 12 tiles labeled negative. What side lengths should be used to model the rectangle? (x 2) and (x – 6) (x 6) and (x – 2) (x 2) and (x – 10) (x 10) and (x – 2).
Answer:
X-2 And X+10
Step-by-step explanation:
That would be the answer for the problem.
Answer:
Step-by-step explanation:
Please Someone Help With This Question!
Answer:
x ≤ 24
Step-by-step explanation:
Note: we can treat this as a normal equation
First, we can subtract 10 from both sides to get x/4 ≤ 6
Next, multiply both sides by 4 to get x ≤ 24
Answer: x ≤ 24
Hope this helps!
En una granja hay gallinas y vacas, en total uman 624. Se sabe que el numero de vacas son 36 veces mas que el numero de gallinas. Cuantas vacas hay en total?
AYUDA PORFA
Answer:
17 R 12
Step-by-step explanation:
Hola,
en total son 624 y las vacas son 36 mas que las gallinas, vos tienes que divider 624 con 36
624÷36
Name two triangles that are congruent by ASA.
Step-by-step explanation:
The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.Jan 21, 2020
324.56 × 54.82
SHOW YOUR WORK
ALL OF IT PLEASE AND THANK YOU!
PLEASE HURRY!
Answer:
17792.3792
Step-by-step explanation:
:))))))
3 times the difference between 5 and y
Answer:
3(5-y)
Step-by-step explanation:
2. A circular flower bed has a radius of 7 yards. Determine the circumference of the flower bed.
a. 153.86 yds
b. 43.96 yds
C. 13.28 yds
d. 153 yds
Answer:
b. 43.96 yds
Step-by-step explanation:
Circumference of a circle = π × 2 × radius
Take π as 3.14
3.14 × 2 × 7 = 43.96
what is 2x*x^2, just give answer
the scale on a map is 1 in to 40 mi find the distance for 5 1/2 in
Avanelle is walking around a track that is 400 yards long. She has walked around the track 7 times so far. How many more yards does she need to walk around the track to complete 4 miles?
Answer:
2 miles = 3,520 yards
first we need to find how many yards she's walked already :
400×5=2,000 yards
now subtract :
3,520-2,000= 1,520 yards
Keisha needs to walk 1,520 more yards to complete 2 miles
hope this helped
Step-by-step explanation:
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86. 25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months. Income Wages $2,278. 00 Expenses Rent $950. 00 Utilities $232. 45 Food/Clothes $445. 00 Entertainment $270. 00 Car $200. 00 Credit Card $86. 25 Cell Phone $77. 89 Net Income $16. 41 a. Addison can eliminate $73 from Food/Clothes and $100 from Entertainment. B. Addison can eliminate $45 from Food/Clothes and $41 from Entertainment. C. Addison can eliminate $25 from Food/Clothes and $22 from Entertainment. D. The minimum payment is enough to pay off the balance within 24 months.
Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
It is given that
Addison has a balance of $3,450 on her credit card.
APR = 18%
Current monthly payment = $86.25
She wants to choose a monthly payment for 24 months.
So for 24 months,
A revised monthly payment using the formula,
[tex]M = \frac{P.\frac{R}{12}. (1+\frac{R}{12} )^N }{(1+\frac{R}{12})N -1}[/tex]
R = 0.18
P = 3450
N = 24
Revised montly payment M = $172.24
Current monthly payment = $86.25
Difference = $86
So, she needs to cut the expenses by $86
If she cut $45 from Food/Clothes and $41 from Entertainment, she can easily pay the revised monthly payment.
Therefore, Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
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Ten bags of cocoa beans cost 350 cedis. Find the cost of 6 bags
Answer:
210 cedis
Step-by-step explanation:
If ten bags of cocoa beans cost 350 cedis then you need to find the cost of one bag of cocoa beans
= 35 cedis
350 × 0.1 = 35
then multiply by 6 to get the cost of six bags
35 × 6 = 210
six bags of cocoa beans will cost 210 cedis.
x•7 if x= 3/4 what is the value of this expression
3см
10cm
I don’t know how to do this question
Step-by-step explanation:
2 · π · r · (r + h)
2x3.14x3x(3+10)
6.28x3x13
18.84x13
244.92
A theater has 40 rows of seats. There are 22 seats in each row. It costs $2.79 to deep clean each seat. How much does it cost to deep clean all the seats in the theater?
Answer:
$2455.2
Step-by-step explanation:
40 rows * 22 seats per row = 880 seats total
880 * $2.79 = $2,455.20
PLEASE can someone do A, B, D, And The Graph
answer 33
because i had abd and ur mum jk but yea
Use the standard normal table to find P(z ≥ 1. 4). Round to the nearest percent. %.
The probability for the z-score is greater than or equal to 1.4 is 0.08076 or 8.076 %.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The probability for the z-score is greater than or equal to 1.4 is given as
P(z ≥ 1.4) = 1 - P( z < 1.4}
P(z ≥ 1.4) = 1 - 0.91924
P(z ≥ 1.4) = 0.08076
P(z ≥ 1.4) = 8.076 %
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A 6-pack of markers costs $3.96. What is the unit price?
Answer:
0.66
Step-by-step explanation:
divide the numbers
There are 10 millimeters in 1 centimeter, so about how many millimeters is this dinosaur bone? Explain.
The length of the dinosaur bones in millimetres is 220 mm
Length:Length is a measure of how long an object is or the distance between two points. Therefore, the length of the dinosaur bones was given as 22 centimetres.
The length should be converted from centimetres to millimetres as follows:
1 cm = 10 mm
22 cm = ?
cross multiply
length of the dinosaur bones = 22 × 10
length of the dinosaur bones = 220 mm
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Linear Equations
A rectangle has sides of length 3m and (x + 4) m.
Find the value of x, if the area of the rectangle is 18m²??
The scale on a map shows that 200 miles is represented by 5 inches on a map. Which proportion can be used to find
the distance on the map. x, that represents 50 miles?
5 х
200
=
50
200
5
х
50
50
5
© 200 x
50 - 200
=
Math
Step-by-step explanation:
The scale is:
200 miles ⇒ 5 inchesWe need to find the length of 50 miles represented by x inches on a map.
50 mile ⇒ x inchesBased on he above we can set ratio:
200/50 = 5/xThis can be rewritten as cross-product:
200*x = 5*50The solution is:
x = 250/200x = 1.25 inchesAny proportion we same outcome for x is correct choice.
Scale given
200mi=5inMow
50mi=xinLets solve
200:5=50:x40:1=50:x40=50/xx=1.25in