Answer:
A. Domain : (-∞, ∞)
B. Function is increasing in the interval (-2, 0) and (2, ∞)
Decreasing in the interval of (-∞, -2) and (0, 2).
Step-by-step explanation:
A. Given function is, y = |2x - 1|
This function is the transformed form of the parent function, y = |x|
Domain of the parent function is { x | x is a set of real numbers}
Therefore, domain of the transformed function will be the same as the domain of the parent function.
Domain of the function = {x | x is a real number}
B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]
Domain of the function : (-∞, ∞)
Critical points of the function are,
⇒ x = 0, ±2
Now we find the three intervals where we have to check the function to be increasing or decreasing.
(-∞ -2), (-2, 0), (0, 2), (2, ∞)
Derivative of the function f(x),
f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]
Here, f'(x) < 0 for (-∞, -2)
f'(x) > 0 for (-2, 0)
f'(x) < 0 for (0, 2)
f'(x) > 0 for (2, ∞)
Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)
And it's decreasing in the interval of (-∞, -2), and (0, 2).
Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102
Answer:
its b i checked it
Step-by-step explanation:
The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
We know the square root of a number indicated the number has been raised by half.
Given, An expression [tex]\sqrt{10}[/tex].
So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].
learn more about radical expressions here :
https://brainly.com/question/1369233
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on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
Solve for y: 3y + 6 = -45
Answer:
Step-by-step explanation:
solution :
y = -17
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*y+6-(-45)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
3y + 51 = 3 • (y + 17)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : y+17 = 0
Subtract 17 from both sides of the equation :
y = -17
solution was found :
y = -17
I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped
Help. I’m thinking this is either b,c,d not sure which one though
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
Which inequality is true?
5(−2)>10
3(13)<39
11+(−3)<9
5 + 12>18
Answer: 11 + (-3) < 9 is true.
Step-by-step explanation:
When there is a + in front of an expression in parentheses , the expression remains the same.
11 - 3 < 9
Now subtract.
8 < 9
Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.
is this theoretical or experimental
any why?
Answer:
Experimental
Step-by-step explanation:
It is not a theory he actually tossed the penny
What is the area of this triangle?
Answer:
8 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (7-3) * (4-0)
= 1/2 4*4
= 8
A triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)
Answer:
CStep-by-step explanation:
(x, y) → (x – 8, y + 4)A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex] according to the translation rule.
What is translation rule ?According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)
by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].
How to use translation rule to find the answer?Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4
Putting in the values given in the question to the translation rule we get
[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]
[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]
Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.
Learn more about translation rule here:
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You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?
Answer: I think it’s 20,390
Step-by-step explanation:
Answer: 11,272
Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.
Please help me with 2 more questions ill give good ratings please!
Answer:
3, - 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is
(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )
Find the distance between k and l
Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6
Answer:
-22
Step-by-step explanation:
Which part of the function is valid when x = -6
The first part
h(-6) = 4x+2 and let x = -6
=4(-6) +2
= -24 +2
=-22
Answer:
-22
Step-by-step explanation:
The sum of 2 times a number and 7 is equal to 6
Answer:
2x+7 = 6
x = -1/2
Step-by-step explanation:
Answer:
2x+7=6
Step-by-step explanation:
Simplify.
Rewrite the expression in the form y^n
Y^9•y^2
Answer:
Step-by-step explanation:
When you multiply two terms with same base, add the exponents.
Example: x*x² = x* x*x = x³
In short, x*x² = x¹⁺² = x³
[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]
Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self
Answer:
idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl can see here on brainly
Please help marking brainliest QUICK
Answer:
50 lbs.
Step-by-step explanation:
Answer:
45.65
Step-by-step explanation:
10) Two number cubes are rolled and the results are added. (There are 36 possible
outcomes.) What is the probability the sum is equal to 2?
Answer:
2.7%
Step-by-step explanation:
The first thing to take into account, how could the sum be and the only way is that in each numerical cube, get a 1, because the other option is 2+ 0, but it is assumed that both cubes are numerical and on each side there are number.
Therefore, the probability would be that in each die 1 appears, they tell us that there are 36 possible results in the two dice and this would be 1 of those 36 results, which means that the probability would be:
1/36 = 0.027
What 2.7% means is the probability
M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
Answer:
M<varies>r³
M=kr³(k= constant)
when M=160,r=4
160=k(4)³
160=64k
k=2.5
therefore,M=2.5r³
when r=2
M=2.5r³
M=2.5(2)³
M=2.5(8)
M=20
Solve.
-6x - 4y = -32
-2x + 7y = 6
A. (5, 3)
B. (5, 2)
C. (4, 3)
D. (4, 2)
Answer:
D
Step-by-step explanation:
-6x=4y-32
x=(2(2y-16))/-6
x=(2y-16)/-3
x=(-2/3)*y+16/3
solve for y:
-2((-2/3)*y+16/3)+7y=6
(4/3)y+21/3y+(-32/3)=18/3
(25/3)y=(18+32)/3
(25/3)y=50/3
25y=50
y = 2
solve for x:
-6x - 4y = -32
-6x - 8 = -32
-6x = -24
x = 4
answer: (4, 2)
I will give the brainliest answer
Answer:
96 cm²
Step-by-step explanation:
area of single square:16cm²
no. of square in cube:16*6: 96cm²
Answer:
[tex]96 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
6
{a}^{2}
\\
=
6
·
{4}^{2}
\\
=
96 \: \: {units}^{2}
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
I need help cause I don’t understand the concept
Answer:
make a graph based on the equation
Step-by-step explanation:
then match the graph you made to the answer choices
shoulders knees and toes ♀️✨♀️♀️wait i forgot the head,, thats what you'll get later✨♀️♀️♀️✨✨♀️♀️✨✨
sorry i just needed to put something here
Answer:
C
Step-by-step explanation:
-3x - 2 ≥ 7
-3x ≥ 9
x ≤ -3
Answer:
c
Step-by-step explanation:
-3x-2 greater than or equal to 7
-3x greater than or equal to 9
x less than or equal to -3
(flip the inequality sign if you multiply by a negative number on both sides)
c
please help
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units.
Answer:
122
Step-by-step explanation:
Let x ft. be the distance from neighbour's fence to the house.
Please see attached picture for full solution.
Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)
type 2 ways they are the same.
Answer:
if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry
Step-by-step explanation:
Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
When the discriminant is 0, there is one real solution.
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
PLEASE HELP!! 25 POINTS
Answer:
1. f(x) and g(x)
2. g(x)
3. All
4. F(x) and H(x)
Step-by-step explanation:
graph them
Please answer fast, dhehdhhd
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)