Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
Match the expressions to the correct function combinations.
Answers
Answer:
Step-by-step explanation:
i took the test on plato
For (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
[tex]\rm f(x) = x^2-6x-27[/tex] and
[tex]\rm g(x) = x-9[/tex]
[tex]\rm (f+g)x = x^2-6x-27+x-9\\\\(f+g)x = x^2-5x-36[/tex]
[tex]\rm \dfrac{f}{g}(x) = \dfrac{x^2-6x-27}{x-9}\\\\\\rm \dfrac{f}{g}(x) = \dfrac{(x+3)(x-9)}{x-9}\\\\\rm \dfrac{f}{g}(x) = x+3[/tex]
[tex]\rm (f\times g)(x) = (x^2-6x-27)(x-9)\\\\\rm (f\times g)(x) =x^3-15x^2+27x+243[/tex]
[tex]\rm (f-g) = x^2-6x-27-(x-9)\\\\\rm (f-g) =x^2-7x -18[/tex]
Thus, for (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.
Learn more about the function here:
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Related Questions
Help meeeee please and thank you
1. Complete these statements. Give an example and solution of each.
Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:
Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:
Answers
Answer:
Whenever you divide two terms with the same base, you keep the base and subtract the exponents.
Example:
x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴
or
8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷
Whenever you multiply two terms with the same base, you keep the base and add the exponents.
Example:
x³ × x⁷ = x³⁺⁷ = x¹⁰
or
12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴
What is the theme of the poem Caged Bird Give a brief summary of the poem . Explain what poetic devices are. Provide historical context relating to the poem
Answers
Answer:
The theme of "Caged Bird" is lack of freedom.
"Caged Bird" is an extended metaphor that is comparing the African-American community to other privileged people.
Help ASAP nowwwwww
Please and thank you
Answers
Answer:
y = -1/2x + 5
Step-by-step explanation:
Parallel slope = -1/2
The y-intercept can't be the same so C is the only option
Answer:
C. y = -1 /2x + 5
Step-by-step explanation:
Hope this will help
solve the equation
8.88 = 4.44 (x - 7)
5(y + 2/5) = -13
Answers
Answer: (9,-3)
x=9 y=-3
For basketball tryouts, Kiana ran two laps in a total of 28.5 seconds. In the second lap, she beat her first lap by 3 seconds. Write an equation to represent the situation. I a clase Solve the equation to calculate how long to run the second lap?
Answers
Answer:add 6
Step-by-step explanation:
yo have to add 5 then subtract to get answer
A farmer sells 7.6 kilos of apples and pears at the market two-fifths of this weight is papples and the rest is pears how many kilos are pears did she sell at the Farmers Market
Answers
Answer: 4.56 kg
Step-by-step explanation:
In total, 7.6 kg of both pears and apples were sold.
Now, out of that 7.6kg, two-fifths is apples and the rest are pears.
This means that Pears are:
= 1 - 2/5
= 3/5
The weight of pears is therefore:
= 3/5 * 7.6
= 4.56 kg
Evaluate the expression. 12(7)(4)+6(5)=
Answers
Answer:
Step-by-step explanation:
(12×7×4)+6(5)=
336+30=366
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answers
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
please help! this is due tomorrow!
Answers
Answer:
a. x=-13
b. x=16/3
c. x=8
d. x= 9/5
e. x=20
f. x= 2
Answer:
4. a. x= -13
b. x= 16/5 = 5.33333333333
c. x=8
d. x=9/80 = 0.1125
e. x=-20
f. x= 2
hope these answers helps you..
Choose the figure that shows only a radius.
Answers
In classical geometry, a radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. The name comes from the Latin radius, meaning ray but also the spoke of a chariot wheel.
Write 3-5 sentences about the process of Grouping Factoring Method
Answers
Step 2: Create smaller groups within the problem, usually done by grouping the first two terms together and the last two terms together.
Step 3: Factor out the GCF from each of the two groups. In the second group, you have a choice of factoring out a positive or negative number. To determine whether you should factor out a positive or negative number, you need to look at the signs before the second and fourth terms. If the two signs are the same (both positive or both negative) you need to factor out a positive number. If the two signs are different, you must factor out a negative number.
Step 4: If the factors inside of the parenthesis are exactly the same, it is time for the 2 for 1 special. The one thing that the two groups have in common should be what is in parenthesis, so you can factor out what is inside the parenthesis, but only write what is inside the parenthesis once. If what is inside the parenthesis does not match, you need to rearrange the four terms and try again until you get a perfect match. If you have rearranged the problems a couple of times and still have not found a perfect match, then the problem does not factor.
Step 5: Determine if the remaining factors can be factored any further.
PLEASE HURRY!!!! WILL GIVE BRAINLYEST!!
The probability of landing on green when spinning a spinner is 1/5. Choose the likelihood that best describes the probability of this event.
A. Impossible
B. Neither likely nor unlikely
C. Unlikely
D. Likely
Answers
Answer:
Step-by-step explanation:
0<1/5<1/2
So it is possible but unlikely
C. Unlikely
Answer:
the person above is right
Step-by-step explanation:
the answer is unlikely
can somebody help me please
Answers
Answer:
Step-by-step explanation:
a - 7 = 3(b + 2)
a - 7 = 3b + 2*3
a - 7 = 3b + 6 {Subtract 6 from both sides}
a - 7 - 6 = 3b
a - 13 = 3b {Divide both sides by 3}
[tex]b =\frac{a-13}{3}[/tex]
What is the measure of
Answers
ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult
tickets and 4 child tickets for $32. On the second day they sold 5 adult tickets and 3 child tickets for $21.
Find the price of an adult ticket and the price of a child ticket.
Adult ticket (x): $
Child ticket (y): $
(i already asked this but no one responded)
Answers
so x = 3
and the children’s tickets cost $2
so y = 2
What is 1/4 squared??
Answers
Answer:
1/16
Step-by-step explanation:
1²/4² equals 1/16.
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
Answers
Answer:
208 meters
Step-by-step explanation:
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
tan θ = Opposite/Adjacent
θ = Angle of depression
Adjacent = Horizontal distance = 130 meters
Opposite = Vertical distance = x
θ = 58°
tan 58 = x/130 meters
Cross Multiply
x = tan 58 × 130 meters
x = 208.04348878 meters
Approximately = 208 meters
Therefore, the vertical distance it travelled is 208 meters
Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers
Answers
Answer:
7,5,3,1
Step-by-step explanation:
Write an equation of the line in slope-intercept form. (0,2)(3,3)
Answers
Answer:
Slope = 1/3
Step-by-step explanation:
Hope this helps.
= 3-2/3-0 =1/3
Y=mx+b
Y=1/3x +b
X=0
Y=2
2=1/3(0)+b
b= 2
Y=1/3x + 2
f(x) = -2x^2 + 12x + 3
Find the a, b, and c
Answers
Step-by-step explanation:
a = coffcient of x ² = - 2
b = cofficient of x = 12
c = constant term = 3
plz mark my answer as brainlist plzz.
hope this will be helpful to you .
if you find it useful.
If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?
Answers
Answer:
108 cubic units
Step-by-step explanation:
If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?
Volume of a rectangular prism XYZ = Length × Width × Height
= 2 unit × 9 unit × 6 unit
= 108 cubic units
DO NOT GIVE ME A DARN PDF!!!!!
Solve for x: 27 = 6x - 21.
a.1 = x
b.6 = x
c.no solution
d.8 = x
Answers
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
Here's the answer.
PLEASE FOLLOW ME!
metropolis gets 5.8 inches of rain in october, 4.2 inches in novemeber how much does it get in december
Answers
Answer:
2.6
Step-by-step explanation:
Metropolis gets 5.8 inches of rain in October
4.2 inches of rain is seen in November
Therefore the amount that would be seen in December can be calculated as follows
= 5.8-4.2
= 1.6
4.2-1.6
= 2.6
Hence 2.6 inches of rain would be seen in December
whats 1/2 mineus 1/3
Answers
Answer:1/2 - 1/3 = 1/6
Step-by-step explanation:
Answer: 1/6 or 0.16
Step-by-step explanation: hope this helps!
Translate five units left and four units down (geometry)
Answers
Answer:
Step-by-step explanation:
About 8% of the earth’s crust is made up of aluminum. Write 8% as a decimal
Answers
Answer:
0.08
Step-by-step explanation:
We know that 8% is also [tex]\frac{8}{100}[/tex], and if we move the decimal two places to the left, we will get 0.08.
can someone please help me with this? I'll mark brainliest for the right answer
Answers
Answer: SHE MADE ANOTHER QUESTION!
Step-by-step explanation:
Determine if two triangles are congruent. If they are, state how you know.
A: Not enough information.
B: SSS
C: SAS
D: AAS
help me ASAP please!
Answers
Answer:
B. SSS
Step-by-step explanation:
The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.
The rectangular picture frame shown below has a 2-inch width.
12 in
12 in.
22 in
18 in
What is the area of the picture frame?
16 in
136 square inches
152 square inches
O 216 square che
O 352 squarenches
Answers
Answer:
Step-by-step explanation:
Hg6gyby
A rectangle has and area of 55 Square inches and a length of 5 inches what is the width
Answers
Answer:
11 inches
Step-by-step explanation:
55/5 = 11