Answers
Answer:
Option (2).
Step-by-step explanation:
Let f(x) and g(x) are the two functions with domain A and B.
Then (fg)(x) will be the function with domain A∩B
(fg)(x) = f(x)g(x) Domain : A∩B
In this question two functions are,
c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)
Domain : (x - 2) > 0 ⇒ x > 2
and (x - 2) < 0 ⇒ x < 2
Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).
Similarly, d(x) = x + 3
Domain : All real numbers
: D = (-∞, ∞)
(cd)(x) = c(x)d(x)
= [tex]\frac{5}{(x-2)}\times (x+3)[/tex]
Domain of (cd)(x) will be,
Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)
: (-∞, 2) ∩ (2, ∞)
Therefore, domain of (cd)(x) will be all real values except 2.
Option (2) will be the answer.
Related Questions
31 points!
Find x.
A: 8
B: √8
C: 16
D: 4√2
Answers
Answer:
Answer is (A) 8
Step-by-step explanation:
What is the supplement of ∠A if m∠A = 78°?
Answers
Answer:
The supplement is 102
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement
x+ 78 = 180
subtract 78 from each side
x+78-78 = 180-78
x = 102
Answer:
102
Step-by-step explanation:
Which of the binomials below is a factor of this
trinomial?
x^2-3x - 10
O A. X-1
O B. x+ 2
O C. X+1
O D. X-2
Answers
...
..
Answer:
[tex](x + 2)[/tex]
Answer B is correct
Step-by-step explanation:
[tex] {x}^{2} - 3x - 10 \\ {x}^{2} - 5x + 2x - 10 \\ x(x - 5) + 2(x - 5) \\ = (x +2 ) (x - 5)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Five out of six residents of Mayville have library cards. Which tool will best allow Darren to simulate this scenario and predict whether a randomly chosen resident has a library card?
Answers
Answer:
A number cube
Step-by-step explanation:
A coin a 5-sector spinner a number cube a bag of 11 marbles
A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.
As Coin has only 2 outcomes "Head" and "Tail".
A 5-sector sector spinner has only 5 outcomes we need six outcomes.
A bag of 11 marbles has no differentiated with respect to colors etc.
Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.
Answer:
c
Step-by-step explanation:
Each of forty-six pet owners was asked, "Does your pet eat more wet food or dry food?" Here are the results. 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food". Construct a two-way frequency table for the data.
Answers
Answer:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
Step-by-step explanation:
It is given that 9 cat owners and 13 dog owners chose "Wet food". 10 cat owners and 14 dog owners chose "Dry food".
Cat owners-Wet food = 9
Dog owners-Wet food =13
Cat owners-Dry food = 10
Dog owners-Dry food =14
We need to construct a two-way frequency table for the data.
Take owners in the first row and type of food in first column and construct a two-way frequency as shown below:
Cat owner Dog owner Total
Wet food 9 13 22
Dry food 10 14 24
Total 19 27 46
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random fròm the bag,the colour is noted and then is replaced. Another marble is taken at random. What is the probability of getting 2 blues
Answers
Hi there!
Answer:
1/6
Explanation:
The first probability of getting blue is 4 out of the total marbles so 4/9.
The second time there are only 3 blue marbles out of 8 now so 3/8.
So the answer is 4/9X3/8
which equals 12/72 or 1/6
Hope this helps!
1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the
width. Which equation would NOT help us solve for the length and width of the classroom? Show your
your
work on
scratch paper. *
x + 2y = 90
x = 2y
2(2y) + 2y = 90
2x + 2y = 90
Answers
Answer: The equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
Step-by-step explanation:
Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .
Given ,
The perimeter of a rectangular classroom floor is 90 feet.
The length of the floor is twice the width.
i.e. Length =2 (width)
i.e. x= 2y ..(i)
Also, perimeter = 2(length+width)
[tex]i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90[/tex]
When we put value of x from (i), we get
[tex]2(2y) + 2y = 90[/tex]
Hence, the equation would NOT help us solve for the length and width of the classroom is "[tex]x + 2y = 90[/tex]".
apply the function transformation of g(x)=f(x-2)+4 to f(x)=x^3-8. describe the transformation and find the final form of the function after the transformation
Answers
Answer:
g(x) = (x - 2)^3 - 4
Step-by-step explanation:
first, the function f is shifted to the right by 2 units and then shifted up by 4 units
In the word hippopotami. What fraction of the letters are Ps?
Answers
Answer:
3/11
Step-by-step explanation:
There are 11 letters in "hippopotami" and 3 of those letters are P, so the fraction of letters that are p is 3/11. Fractions are part of the whole and the part here is 3.
Answer:
3.3333333333333333333333
What is the distance, in units, between the points (3, -2) and (7, 5)?
Answers
Answer:
Step-by-step explanation:
Hope it helped
Answer:
√65 (units)
Step-by-step explanation:
A(3, -2) and B(7, 5)
AB=√ [(xB-xA)²+(yB-yA)²]
AB=√ [(7-3)²+(5+2)²]=√(16+49)
AB=√65 (units)
round 128.599 to 3 decimal places
Answers
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
129
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answers
Domain is just all x values
Use synthetic division to solve (x^3-x^2-17x-15) divided by (x-5). What is the quotient?
Answers
Answer:
The answer would be x^2+4x+3
Step-by-step explanation:
Answer:
A. x^2+4x+3!!!
just took it on edg!
Find the distance from the point (1,4) to the line y = 1/3x - 3
Answers
Answer:
Step-by-step explanation:
If I'm not mistaken, and I very well could be, this is a calculus problem(?). In order to find the distance without calculus you'd need a point on the given line to use to find the distance in the distance formula. But you don't have a point on the given line, so we can find the shortest distance between the point (1, 4) and the given line using the derivative of the polynomial formed when using the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] and we have the x and y for x2 (or x1...it doesn't matter which you choose to fill in):
[tex]d=\sqrt{(1-x)^2+(4-y)^2}[/tex]
but what we find is that we have too many unknowns here, namely, the distance, the x coordinate, and the y coordinate. So we can replace the y coordinate with what y is equal to in terms of the linear equation:
[tex]d=\sqrt{(1-x)^2+(4-\frac{1}{3}x-3)^2 }[/tex] and simplify:
[tex]d=\sqrt{(1-x)^2+(7-\frac{1}{3}x)^2 }[/tex]
. No we'll expand each binomial by squaring:
[tex]d=\sqrt{(1-2x+x^2)+(49-\frac{14}{3}x+\frac{1}{9}x^2) }[/tex]
. Combining like terms gives us
[tex]d=\sqrt{\frac{10}{9}x^2-\frac{20}{3}x+50 }[/tex]
The distance between the point (1, 4) and the given line will be at a minimum when the polynomial above is at a minimum. We find the value of x for which the polynomial is at a minimum by finding its derivative, setting the derivative equal to 0, and then solving for x. The derivative of the polynomial is
[tex]\frac{20}{9}x-\frac{20}{3}[/tex]
Setting equal to 0 and getting rid of the denominators gives us
20x - 60 = 0
Solving for x gives us
20x = 60 and x = 3.
That's the value of x that gives us the shortest distance between (1, 4) and the line y = 1/3x - 3. Sub into the distance formula that x value to find the distance:
[tex]d=\sqrt{(\frac{10}{9})(3)^2-(\frac{20}{3})(3)+50 }[/tex]
which simplifies down, finally, to
x ≈ 6.325 units
To eliminate the terms and solve for y in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?
Answers
Answer:
the equation is not shown...
Step-by-step explanation:
but to solve for y you should use the first equation that is use the coefficient of x in the first equation to multiply all the terms in the second equation.
And use the coeffient of x in the second equation to multiply the the terms in the first equation.
It would have been better if the equation was shown for better explanation.
Factor the expression below.
4x² - 1
A. (x - 1)(4x - 1)
B. (2xE 1)(2x + 1)
C. (x - 1)(4x + 1)
D. (2x - 1)(2x - 1).
Answers
Answer:
The answer is (2x-1)(2x+1)
Step-by-step explanation:
4x²-1 can be factorised using difference if two squares
regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation?
Answers
Answer:
Step-by-step explanation:
because A regular octagon is a closed figure with sides of the same length and internal angles of the same size. so if it is rotated 360 degrees it should coincide with its preimage after every 45 degrees.
so 360/45= 8 times
Answer:
8 times
Step-by-step explanation:
An octagon has eight sides of equal length and eight angles of same measure. So, If it is rotated 360 degrees about its center. It would coincide with all of its 8 sides. So, it will coincide with it's pre-image 8 times.
can someone help me expand this polynomial?
Answers
Answer:
Step-by-step explanation:
(k-p)(k-n)
=k^2 -(p+n)k+pn
this is the expanded form..
please mark me as the brainliest
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Multiply the first 2 terms in each brackets
k x k = k^2
Multiply the two outside terms in the brackets
k x - n = -kn
Multiply the two inside terms
-p x k = -pk
Multiply the last two terms
-p x -n = pn
Place all the values together to get your answer of:
k^2 - kn - pk + pn
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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is 11/7 and 77/63 equivalent?
is 3/5 and 45/75 equivalent?
is 1/8 and 10/80 equivalent?
is 2/9 and 18/81 equivalent?
Answers
Answer:
11/7 = (11 x 9)/(7 x 9) = 99/63 > 77/63
3/5 = (3 x 15)/(5 x 15) = 45/75
1/8 = (1 x 10)/(8 x 10) = 10/80
2/9 = (2 x 9)/(9 x 9) = 18/81
Hope this helps!
:)
Which is a simplified form of the expression -6a + 2(2a + 2)? A. -2a + 4 B. -2a – 4 C. 2a + 4 D. 2a – 4
Answers
Answer:
A)
Step-by-step explanation:
-6a + 2(2a + 2) = -6a + 4a + 4
= -2a + 4
A square patio has a perimeter of (32x+8) feet. What is the length of the patio? Thanks!
Answers
Answer:
The side length is 8x+2 ft
Step-by-step explanation:
The perimeter of a square is found by
P =4s where s is the side length
32x +8 = 4s
Divide each side by 4
32x/4 +8/4 = 4s/4
8x+2 = s
The side length is 8x+2 ft
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!
Answers
Answer:
side of square is 2-x
Step-by-step explanation:
Area of the square is side * side or side ², so the expression for the side has to be square root of area
A = 4 -4x + x²
It should be recognized that 4 -4x + x²is a special product ( 2-x)² because this is a perfect square trinomial
side of square is 2-x
PLEASE PLEAE PLEASE!!!! HELP ME
Answers
Answer:
My best answer. Hope this helps...
Step-by-step explanation:
You can see 1 full square in the triangle.
There are also 3 half squares.
The top part of the triangle also equals to 1 half square.
On the bottom right side, you have two shapes that add up to a square.
4 half squares = 2 full squares.
2 + 1 + 1 = 4
The square also has 4 squares.
In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Liz wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year? tons
Answers
Answer: The answer is 8000 pounds, or 4 tons
Step-by-step explanation:
This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....
(32)(250)=8000
then convert 8000 pounds to tons and you get 4 tons
Please answer CORRECTLY !!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!
Answers
Answer:
x^2+8
Step-by-step explanation:
x+1*x+7
What is the power of an athlete weighing 960 N that runs through a flight of stair case in 2 mins? There are 100 stairs and each stair case has a length of 100 mm
PLS ANSWER
Answers
Answer:
Power, P = 80 W
Step-by-step explanation:
We have,
Weight of athlete is 960 N
It runs through a flight of stair case in 2 mins or 120 second
There are 100 stairs and each stair case has a length of 100 mm or 0.1 m
Power is given by :
[tex]P=\dfrac{Fd}{t}[/tex]
d is distance
For 100 stairs,
So,
[tex]P=\dfrac{960\times 100\times 0.1}{120}\\\\P=80\ W[/tex]
So, the power of an athlete is 80 watts.
A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?
2 points
A.
B.
C.
D.
Answers
Answer:
A= 1/2bh
Step-by-step explanation:
The answer is the Area= 1/2 * base * height
volume of a cylinder with a radius of 3 and a height of 2
Answers
Answer:
56.52
Step-by-step explanation:
V=πr²h
V=3.14*3²*2=56.52
I want to know what is 600 minutes to days
Answers
Answer:
[tex]0.416667[/tex] of a day
Step-by-step explanation:
To get minutes to days you divide the minutes by the amount of minutes in a day which is 1440
[tex]\frac{600}{1440} \\0.416667[/tex]
Answer:
0.417 day
Step-by-step explanation:
First divide 600 by 60 the answer is 10 hours and then divide by 24 the answer would be 0.41666667 days
Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.
Answers
Answer:
x = 120
Step-by-step explanation:
10.25x + 680 = 12.5x +410.
Subtract 10.25x from each side
10.25x-10.25x + 680 = 12.5x-10.25x +410.
680 = 2.25x +410
Subtract 410 from each side
680-410 = 2.25x +410-410
270 = 2.25x
Divide each side by 2.25
270/2.25 =2.25x/2.25
120=x