Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider functions f and g. Evaluate the function composition.
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Step-by-step explanation:
(f.g)(_1)=f(6)
=8/6+2
=8/8
=1
The value of (f o g)(-1) is 1 if the function f(x) = 8/(x + 2) and g(x) = 4x² + 2 the answer is 1.
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:
Two functions:
f(x) = 8/(x + 2)
g(x) = 4x² + 2
g(-1) = 4(-1)² + 2
g(-1) = 4 + 2
g(-1) = 6
f(g(-1)) = 8/(x + 2)
f(g(-1)) = 8/(6 + 2)
f(g(-1)) = 8/8
f(g(-1)) = 1
Thus, the value of (f o g)(-1) is 1 if the function f(x) = 8/(x + 2) and g(x) = 4x² + 2 the answer is 1.
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Related Questions
Plz help me, I am terrible in math
Answers
Answer: it is either C or D
Step-by-step explanation:but It looks like its D
X+y=8
Y=3x
Solve with substitution
Correct answer gets Brainliest!!
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Answer:
x=2, y = 6
Step-by-step explanation:
We see that y = 3x so we can substitute the y in x + y = 8.
x + 3x = 8.
Combine like numbers:
4x = 8.
Divide both sides by 4.
x = 2
Now plug in x to find y
2 + y = 8
Subtract 2 from both sides.
y = 6
Rearrange the formula
Help pls !!
Answers
Explanation:
Square both sides. As a result, you will get I^2 = P/R
Multiply both sides by R
I^2R = P
Divide both sides by I^2
R = P/I^2
Thus, the answer is A
If f(x) = (2x + 1)2 – 3 and g(x) = 2(2x2 + 3), which statement is true?
A. f(-5) = g(4)
B. f(3) = g(0)
C. f(1) = g(1)
D. f(-3) = g(-2)
Answers
Answer:
d
Step-by-step explanation:
becasuse when you multiply all that stuff since x is the is y fancy way o f saying
From the calculations, we can see that the true statement is f(-3) = g(-2): Option D is correct.
Given the following functions
f(x) = (2x + 1)²– 3 and g(x) = 2(2x² + 3),
According to the last option.
f(-3) = (2(-3) + 1)²– 3
f(-3) = (-6+1)² - 3
f(-3) = (-5)² - 3
f(-3) = 25 - 3
f(-3) = 22
For g(-2)
g(-2) = 2(2x² + 3),
g(-2) = 2(2(-2)² +3)
g(-2) = 2(8+3)
g(-2) = 2(11)
g(-2) = 22
Hence from the calculations, we can see that the true statement is f(-3) = g(-2)
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Darius sees a new store advertising 10 of the same packs of paper clips for $41.50. Which statement best describes the strategy Darius should use to get the best price for each pack?
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Answer:
$4.150/packStep-by-step explanation:
Given the price of 10packs as $41.50, we can express it as;
10 packs = $41.50
To get the equivalent price of 1 pack, we will say;
1 pack = $x
Solving both equalities for x;
10 packs = $41.50
1 pack = $x
cross multiply
10 * x = 1 * 41.50
10x = 41.50
Divide both sides by 10
10x/10 = 41.50/10
x = 4.150
Hence the price for each pack is $4.150
Please help I will give brainliest to whomever's answer is correct
Answers
Answer:
i think its the last one
Step-by-step explanation:
it seems like the smart thing ti pick
Find the 50th term of this arithmetic sequence:
6, 13, 20, 27, . . .
Answer:
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Answer:
346380
Step-by-step explanation:
hope you gwt an a
helpp ill mark u as brain list
Answers
Answer:
the second one
-1 -2
3 0
5 1
7 2
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
Answers
Answer:
The answer would be 3(x + 6).
3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
What is Expression?An expression is combination of variables, numbers and operators.
Given,
We need to find the expression of word phrase "the product of 3 and 6 more than a number"
Product means multiplication of two or more numbers.
more than a number means a number is added to it.
Here in the given phrase, x is the added number.
6 more than a number means 6+x
the product of 3 and 6 more than a number
3(x+6)
Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
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Given: F=(0,1),(2,4),(4,6),(6,8) and g=(2,5),(4,7),(5,8),(6,9),(7,5) (fxg)(2)
Answers
Answer:
(F-G)(x) = -1
Step-by-step explanation:
The notation (F - G)(x) means to subtract each function when x = 6. According to the sets when x = 6 then F is (6,8) and G is (6,9). To subtract the functions, subtract their output values. (F-G)(x) = 8 - 9 = -1.
Step-by-step explanation:
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[tex]f \times g = (2 \: , \:4 \times 5) \: , \: (4 \: , \: 6 \times 7) \: , \: (6 \: , \: 8 \times 9) \\ [/tex]
[tex]f \times g = (2 \: , \: 20) \: , \: (4 \: , \: 42) \: , \: (6 \: , \: 72) \\ [/tex]
_________________________________
Thus ;
[tex](f \times g)(2) = 20[/tex]
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Lisa's school requires each student to earn 75 hours of community service each year. Lisa has
already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a
nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the
number of visits, v, that Lisa will need to make to fulfill her community service requirement?
Answers
Answer:
v=24
Step-by-step explanation:
Estimate 8 x 342 hehehhe
Answers
Answer:
2736
Step-by-step explanation:
8
× 3 4 2
1
1 6
3
3 2 0
2
2 4 0 0
2 7 3 6
Answer:
whqt the oth3r pers0n s4id
Step-by-step explanation:
vfrtgebcydhnnnnkmkmznjjjdcbhjfjmcmdx
Line / has a ???
slope.
Answers
Answer:
this is a positive slope
Step-by-step explanation:
hope this helps
question attached above
Answers
Answer:
23*
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
How to solve 2-step equations
Answers
Answer/Step-by-step explanation:
1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.
Help me solve this problem please
Answers
Answer:
Its A
Step-by-step explanation:
Choose the statement that best describes a solution of a system of linear inequalities.(1 point)
A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.
A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.
A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.
A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.
Answers
Answer: A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.
Step-by-step explanation:
A system of linear inequalities can be written as:
y < a*x + b
y < c*x + d
or
y ≤ a*x + b
y ≤ c*x + d
In the first case, the borders are not included in the solutions, and in the second case, the borders are included.
Where the solutions will be points like (x, y), where these points must be solutions for both inequalities.
Then the only option that is correct for a general system of inequalities is:
A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.
Answer:
A solution of a system of linear inequalities is an ordered pair that satisfies at least one of the inequalities in the system.A solution of a system of linear inequalities is an ordered pair that satisfies the intersection of the border of each inequality.A solution of a system of linear inequalities is an ordered pair that satisfies neither inequality in the system.A solution of a system of linear inequalities is an ordered pair that satisfies each inequality in the system.
Find the GCF using any method:
36, 84, and 90
Answers
Answer:
6
Step-by-step explanation:
Big brain
It's easy I'm just not I'm my head rn can someone help?
This is a career explorations question, not math btw!!
Event planners may be responsible for which of the following? Select all that apply.
A: a sporting arena's fan night
B: a birthday party
C: a wedding
D: a Black Friday sale
Answers
Confused and I need help please
Answers
10=-4(-3/2)+ b
10 = -6 + b
16 = b
Y int =b = 16
What makes a quadratic function unique?
Answers
Answer:
The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.
Step-by-step explanation:
Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.
Hope it helps.
Answer:
Step-by-step explanation:
Maybe that can be solve in so
-maybe diferent ways like graphicly, quadratic equation, factoring, form a perfect square...
-maybe because it has real, imaginary roots, or equal roots
1. Label the Type of Slope
Answers
Answer:
positive slope
Step-by-step explanation:
(Geometry) Please help! 50 points
Answers
Answer:
A) similar; SSS similarity
Step-by-step explanation:
You have to find the proportion by dividing each side to the according side
35/14 = 2.5 - S/D
20/8 = 2.5 - R/E
30/12 = 2.5 - Q/F
Answer:
A B AND C
Step-by-step explanation:
The answers are
abcA hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?
0.10
0.21
0.35
0.40
Answers
Answer:
Okay so!
Step-by-step explanation:
for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is
.35 or C on edge
The probability that a randomly selected customer gets their hair cut and colored is .
What is probability?Probability is the chance of happening an incident or event. A probability is calculated by the ratio of the possible outcomes to total number of outcomes.
Given, the probability of he customer get a hair cut is = P(A) = 87% = 0.87.
The probability of he customer get their hair colored is = P(B) = 40% = 0.4.
Therefore, the probability of a randomly selected customer get hair cut and hair color is = P(A) × P(B) = 0.87 × 0.4 = 0.35
Therefore, 35% of the total customer get hair cut and color.
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Which pair of ratios is not equal? 72 : 64 and 27 : 4 72 : 64 and 27 : 4 90 to 18 and 5 to 1 90 to 18 and 5 to 1 25 to 10 and 10 to 4 25 to 10 and 10 to 4 6 : 7 and 30 : 35
Answers
Answer:
a) 72 : 64 and 27 : 4
Step-by-step explanation:
a) 72 : 64 and 27 : 4
72 /64 = 27/4
9/8 ≠ 27/4
Not equal
b) 90 to 18 and 5 to 1
90 : 18 = 5/ 1
5/1 = 5/1
Equal
c) 25 to 10 and 10 to 4
25 :10 and 10 : 4
25/10 = 10/4
5/2 = 5/2
Equal
d) 6 : 7 and 30 : 35
6/7 = 30/35
6/7 = 6/7
Equal
The pair of ratios that is not equal is
a) 72 : 64 and 27 : 4
Tony needs 6.5 ft. of wood for his fort.
He only has 3.2 ft.
How much more does he need?
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at a vacation resort, you can rent a jet ski for $35 per hour plus a $20 rental fee. your bill came to $90.
write an equation that can be used to represent this situation?
Answers
Answer:
Step-by-step explanation:
You rent a 35 dollar jet ski and per hour plus a 20 dollar rental fee. Your bill came to 90 dollars.If 35 and 20 dollars equal to 55 that means you had payed something that was 1-35 dollars. 35 + 20 = 55
Plzz pls pls pls pls help me I’m stuck
Answers
Answer:
1. x-5=3x-45
2. x=20
3.Perimeter is 45 units since each side is 15 units.
Step-by-step explanation:
x-5=3x-45
-5=2x-45
40=2x
x=20
So AB is 15 and AC and BC is also 15 since it is equilateral. 15+15+15=45 The perimeter is 45 units.
3 divided by 2/5
100 points!!!!!!!!!!!!!! :P
Answers
Answer: its 7.5
Step-by-step explanation:you have a blessed thanksgiveing!
Answer:
7.5
Step-by-step explanation:
thank you!!!!
y=−x/3+4. WHOEVER ANSWERS GETS BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
put the y intercept at 4. then go down 1 and right three, down one, then right three. go back to the y intercept and then go up one and left three, up one and left three
to answer this you should plot a point at (0,4). That is the y intercept as you can see on the equation +4 is at the end. Since the slope is -1/3, go 1 unit left and 3 up from the y intercept. those are your two points and draw a straight line though.