PLS HELP! Select all the correct locations on the image. Select functions f and g such that the ratio of function f to function g is equal to function h.
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The functions f(x), g(x) and h(x) are related as a result of composite functions
The values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
How to determine the functions f(x) and g(x)?From the question, we have the following equation
h(x) = f(x)/g(x)
This gives
f(x) = g(x) * h(x)
The function h(x) is given as:
h(x) = x - 4
So, we have:
f(x) = g(x) * (x - 4)
The function g(x) cannot be x³ - 3x² - 6x + 8 because the leading coefficients of function f(x) are 3 and 2
Next, we assume that:
g(x) = x² - x - 2
So, we have:
f(x) = (x² - x - 2) * (x - 4)
Expand
f(x) = (x³ - x² - 2x - 4x² + 4x + 8)
Evaluate like terms
f(x) = x³ - 5x² + 2x + 8
The above function exists in the given table.
Hence, the values of the functions are f(x) = x³ - 5x² + 2x + 8 and g(x) = x² - x - 2
Read more about composite functions at:
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Related Questions
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale at a 10% discount. What us the total price of 4 1/2 pounds of apples this week at the grocery store?
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What is the factored form of x2 – x – 2? (x – 2)(x 1) (x 2)(x 1) (x – 2)(x – 1) (x 2)(x – 1)
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A quadratic equation is an equation whose leading coefficient is of the second degree. The factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
The factored form of the quadratic equation can be done in the following manner,
[tex]x^2-x-2\\\\= x^2-2x+x-2\\\\=x(x-2)+(x-2)\\\\=(x+1)(x-2)[/tex]
Thus, the factored form of the quadratic equation x²-x-2 is (x+1)(x-2).
Learn more about Quadratic Equations:
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X^(2) + 6x - 9 = 0
solve by completing the square
write in (x+h)^2 = k form
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Step-by-step explanation:
[tex]{x}^{2} + 6x - 9 = 0[/tex]
ADDING 18 ON BOTH SIDES[tex] { x }^{2} + 6x - 9 + 18 = 0 + 18[/tex]
[tex] {x}^{2} + 6x + 9 = 18[/tex]
[tex] {(x)}^{2} + 2(x)(3) + {(3)}^{2} = 18[/tex]
[tex] {(x + 3)}^{2} = 18[/tex]
NEED HELP ASAP ?!!!!!
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Answer:
113cm² total
area of triangle + area for small rectangle + area of 2nd rectangle
erry cut an 88-foot-long board into 66 pieces that are equal in length. how?
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Answer:
See below
Step-by-step explanation:
88ft * 12 in/ft = 1056 in
1056 / 66 = 16 inches each board
by making 65 cuts , you can have 66 sixteen inch boards
Can someone help me with this problem.?
Answers
Answer:
B -- Recipe 2 (Gluten-Free)
Step-by-step explanation:
Recipe 1
5 / 16 = 0.3125
Recipe 2
3 / 8 = 0.375
Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.
Answer:
Your answer would be:
B.) The gluten-free batch has the stronger butterscotch
Regular batch:
5 / 21
5 / 21 = 25 / 110
Gluten-free batch:
3 / 11
3 / 11 = 30 / 110
Solution:
30 / 110 > 25 / 110
In conclusion, the gluten-free batch has the stronger butterscotch.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Find the surface area of this cube.
8 in
8 in
8 in
sq in
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Answer:
Step-by-step explanation:
A cube has 6 faces in square shape.
[tex]\boxed{Surface \ area \ of \ cube = 6a^{2}}}[/tex]
Here a is the measurement of edge. a = 8 in
= 6*8*8
= 384 square in
a rectangle and a square have equal area.If the length of rectangle is 25 cm and breadth is 16 cm. Find the perimeter of the square.
answer:80cm
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Without doing any calculations, compare Expression A to Expression B. A (34 + 25) ÷ 14 1 4 B 34 + 25 Which statement is true? A. LIVE Expression A is 2 times as great as expression B. B. LIVE Expression B is 4 times as great as expression A. C. LIVE Expression A is 4 times as great as expression B. D. LIVE The two expressions are equal to each other.
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Expression A is 4 times as great as expression B.
Sure hope this helps you and pls mark me brainiest
Robin Hartman earns 681 per week plus 2% of sales over 6,500. Robins sales are 13,300. How much does robin earn?
Answers
Answer:
Robin earns 635 + 0.02*(12350-6500) dollars.
Step-by-step explanation:
Just know please mark branliest
A kennel has 110 dogs in total, some are puppies and some are adult dogs. The ratio of puppies to adult dogs in a kennel is 1 : 4. How many puppies are there?
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Answer: 22puppies 88 adults
Step-by-step explanation: Ratio 1: 4 with 110 = 110/5 =22
if ration 1 is 22 then ratio 4 is 22×4
The pentagons ABCDE and PQRST are similar.
Find the length x of ST.
D
S
2
4.
A
4.8
P
E
4.8
T
13
3.6
C
5
B
R
6
O
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The value of x, which is the length of ST in the given similar polygons is: 2.4.
What are Similar Shapes?If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.
Thus, since both pentagons are similar, we would have:
CB/RQ = DE/ST
Plug in the values
5/6 = 2/x
Cross multiply
x = (6 × 2)/5
x = 12/5
x = 2.4
Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.
Learn more about similar shapes on:
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julie planned to walk 35 miles a week. On Monday and Wednesday she walked 5 miles each. tuesday and thursday she walked 3 miles each. friday she walked 2 miles, saturday she walked 7 miles. and sunday she walked 4 miles. she failed to reach her goal. what was julie's approximate percent error?
Answers
Answer:
11%.
Step-by-step explanation:
Total miles walked = 5+5+3+3 +2+7+4 = 29.
%age error = [(35-29)/35] * 100
= 4/35 * 100
= 11%.
=
I NEED HELP PLSSSSS I HVA ENO TIME LEFT
Answers
I won’t explain since ur in a hurry
Answer:
x=6
Step-by-step explanation:
FG is similar to MN just like GH is similar to NP. GH is 20, which is double NP,10. Then, MN should be half of FG, 12, so 6 is your answer.
2. 2x + 2y - 2x + 1
A. 2y + 1
B. 4x + 3y
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Answer:
2y+1 is the correct answer.
IRA HAS 120 SONGS ON HER PLAYLIST .EACH WEEK SHE DOWNLOIADS FOR NEW SONGS
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If she adds songs new in constant amount like 2 per week
Then it will form an arithmetic sequence.
Where common difference is dAnswer:
[tex]f(w)=116+4w[/tex]
Step-by-step explanation:
QuestionIris has 120 songs on her playlist. Each week, she downloads 4 new songs. Write an expression to show the total number of songs on Iris's playlist after [tex]w[/tex] weeks.
SolutionThis scenario can be modeled as an arithmetic sequence since Iris is adding a constant number of songs to her playlist each week.
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsWe are told that she starts with 120 songs on her playlist, so [tex]a=120[/tex]
We are told that she adds 4 new songs each week, so [tex]d=4[/tex]
Also, [tex]n=w[/tex]
Substituting these values into the formula:
[tex]\implies a_w=120+(w-1)4[/tex]
[tex]\implies f(w)=116+4w[/tex]
Please answer this for me , well i need to make sure my answer is right.
Answers
Step-by-step explanation:
just follow PEMDAS trust me this will be a lifesaver
Hope it helps
What is the numerical expression for 1/4
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Answer:
1/4=0.25
Step-by-step explanation:
1/4=25/100
write that as a decimal (numerical expression) its 0.25
Nicole's Pie Shop recently sold 26 pies, of which 13 were chocolate cream pies. Considering this data, how many of the next 54 pies sold should you expect to be chocolate cream pies
Answers
Answer:
27 pies
Step-by-step explanation:
looking at the data we see that for every 26 pies sold, 13 (half) were chocoltae cream pies.
26 divided by 2 = 13
from this we can tell that if she were to sell 54 pies, half of sales would be chocolate, meaning 54 divided by 2
54/2 = 27 pies
find the area figer
a 14
b 50
c 60
d 64
Answers
Answer:
64 cm²
Right corner rectangle:
Length * Width2 * 714 cm²Bottom rectangle:
Length * Width10 * 550 cm²Together:
50 cm² + 14 cm²64 cm²Answer:
d. 64 cm²
Step-by-step explanation:
Separate the shape into two rectangles (see attached image).
Formula
Area of a rectangle = width × length
Rectangle 1
Area = 2 × 12
= 24 cm²
Rectangle 2
Area = 5 × (10 - 2)
= 5 × 8
= 40 cm²
Total Area
Total area = Area of Rectangle 1 + Area of Rectangle 2
= 24 + 40
= 64 cm²
The first bricklayer can build a wall in 15 days, the second bricklayer can build the same wall in 10 days. How long will it take them to build the wall together?
Please help fast ASAP!!
Will mark brainiest!!!
Answers
Answer:
6 days
Step-by-step explanation:
If the first bricklayer can build a wall in 15 days, he can build 1/15 of a wall in one day.
If the second bricklayer can build a wall in 10 days, he can build 1/10 of a wall in one day.
Therefore, if they work together, in one day they will complete
1/15 + 1/10 = 1/6
of the wall.
Since they can complete 1/6 of the wall in one day, they can complete 6/6 or one wall in 6 days.
How much more does the student need to save to buy the laptop
Answers
Answer:
A
Step-by-step explanation:
Starting amount = 307.50
1 month saving = 100
5 month saving = 5*100 500.00
Total so far 807.50
Let the total amount be x
75% *x = 807.50
75/100 x = 807,59 Multiply both sides by 100
75 x = 807.50 * 100
75 x = 80750 Divide by 75.
x = 80750 / 75
x = 1076.67
That is not the answer. That's the total cost of the laptop.
The amount needed is
Amount needed = Total Cost - what has been saved
Amount needed = ????
Total Cost = 1076.67
What has been saved = 807.50
Answer
Amount needed = 1076.67 - 807.50 = 269.17
find a number halfway between 2 1/2 and 1 1/3
Answers
Answer:
23/12
Step-by-step explanation:
2 1/2 = 5/2(3/3) = 15/6
1 1/3 = 4/3(2/2) = 8/6
15/6 - 8/6 = 7/6
7/6(1/2) = 7/12
16/12 + 7/12 = 23/12
What is the equation of the line in slope-intercept form? Enter your answer in the boxes
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The first box is: 4/3
The second box is 4
Slope intercept form is y=mx + b
Where m is your slope, and b is the y intercept (the y number on the y axis), we know that the y-intercept is 4, and two points are (-3, 0) and (0, 4), from these two points, we know that the points are up 4, and right 3. To find slope you do rise over run, which in this case is 4/3 so the equation is
y=4/3x +4
The radius of a circle is 2.5 cm. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answers
circumference of circle: 2πr ("r" is the radius)
==========
2πr 2π(2.5)5π15.7 cmAnswer:
15.7 cm²
Step-by-step explanation:
Given:
[tex]\text{Radius of circle: 2.5 cm}[/tex]
Formula:
[tex]\text{Circumference:} \ 2\pi r[/tex]
Substitute the radius in the circumference formula:
[tex]\implies \text{Circumference:} \ 2\pi r[/tex]
[tex]\implies \text{Circumference:} \ 2\pi (2.5)[/tex]
Take π as 3.14 (Approx. value of π):
[tex]\implies \text{Circumference:} \ 2(3.14)(2.5)[/tex]
Simplify the circumference:
[tex]\implies \text{Circumference:} \ (3.14)(5)[/tex]
[tex]\implies \text{Circumference:} \ 15.7 \ \text{cm}^{2}[/tex]
833/90 as a mixed number
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Answer:
833/90 as a mixed number is 9 and 23/90.
Step-by-step explanation:
How many times does 90 go in to 833? 9 times.
Then take the remaining so you can’t really simplify the fraction so it stays 23/90.
So your final answer is 9 and 23/90.
Brainliest pls!!!
9x^8 6x^4(y 2) (y 2)^2 factor by subtraction
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Answer:
The groups have no common factor and can not be added up to form a multiplication. Final result : 9x8 + 6x4y + 12x4 + y2 ...
Step-by-step explanation:
so did u understand
A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m above sea level how far is the boat from the foot of the cliff?
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Answer:
From the photo above i interpreted the question and drew a triangle to make it easier to solve
Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)
Tan θ =Opp/Adj
Tan 22°=15/a
Cross Multiply
aTanθ=15°
Divide both sides by Tan 22
aTan22/Tan22 = 15/Tan 22
a = 15/Tan 22°
a = 37.13 m
Therefore the distance between the foot of the cliff to the boat is 37.13 metres
please helpppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answer:
1. correct
2. incorrect
3. correct
4. correct
5. incorrect
PLEASE HELP, I'LL GIVE BRAINLYEST
What is the linear equation?
Answers
Answer:
y=3/2x+6
Step-by-step explanation:
M=slope
B=Y intercept