The graph of the invertible function h is shown on the grid below.
What is the value of h^-1 (-1)?
Answers
Answer:
1
Step-by-step explanation:
[tex]h {}^{ - 1} ( - 1)[/tex]
means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.
Applying the inverse function concept, it is found that [tex]h^{-1}(-1) = 1[/tex]
The inverse function [tex]f^{-1}(x) = a[/tex] means that [tex]f(a) = x[/tex].
In this problem, it is asked [tex]h^{-1}(-1)[/tex].
From the graph, it is taken that at the original function, when [tex]x = 1, y = -1[/tex], hence [tex]h(1) = -1[/tex].Then, applying the inverse function, we have that [tex]h^{-1}(-1) = 1[/tex], and thus 1 is the value of the inverse function.A similar problem, also involving inverse functions, is given at https://brainly.com/question/23950969
Related Questions
Find the solution set
2(x + 4 = 8
Answers
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
Well the answer is 6
11. Write in the expanded notation : (a) 85, 33, 48, 925 (b) 8, 25, 38, 201 (c) 2,00, 00, 63, 670 (d) 8,57,00, 07, 005 class 5
Answers
please mark this answer as brainlist
How would you describe the shape of the distribution of the data? How is it skewed?
a.
The distribution is not skewed at all.
b.
The distribution is somewhat skewed to the right.
c.
The distribution is somewhat skewed to the left.
d.
The distribution is symmetrical.
Answers
Answer:
the normal distribution is a symmetric distribution with no skew. ... A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That's because there is a long tail in the negative direction on the number line.
Answer:
the answer is D
Step-by-step explanation:
because I'm right
Find the limits, if they exist lim(x,y)→(0,0) (3x^2/(4x^2+4y^2))
Answers
(1) Along the x-axis, we have y = 0, so that
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2} =\lim_{x\to0}\frac34= \frac34[/tex]
(2) Along the y-axis, we take x = 0, then
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{y\to0} \frac0{4y^2} = 0[/tex]
(3) Along the line y = mx, we have
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2+4(mx)^2} = \lim_{x\to0}\frac{3x^2}{4x^2+4m^2x^2} = \frac3{4+4m^2}[/tex]
which means the limit is dependent on the slope of the line m.
(4) nonexistent
please help me it's for today
Answers
Check the pictures attached for the answers.
answer this question pls <3
Answers
Answer:
p = 4a
p = a+a+a+a
Step-by-step explanation:
the first one is shorter
Can someone help me with this please?
Answers
Since 125 (aka 2008) is your starting year, you can substitute in x=4 and y=145, since 2012 is 4 years after 2008. (2012-2008=4)
145 = 125 a^4
Divide by 125 on both sides:
145/125 = a^4
Take the 4th root of both sides on a calculator and you’ll have your a-value.
21. Six more than three times a number is equal to the number itself. Write the equation and find the number.
Answers
Answer:
-3
Step-by-step explanation:
6 + (six more) 3x (3 times a number) = x (is equal to the number)
6 + 3x = x
6 + 2x = 0
2x = -6
x = -3
Solve for x: 4 − (x + 2) < −3(x + 4)
Answers
Answer: x < 7
Step-by-step explanation:
Convert 2 yards to centimeters. Round to the nearest whole
centimeter.
Answers
Answer:
183 centimeters
Step-by-step explanation:
2 multiply the length value by 91.44
a. Divide: 21a3 by 3a? ? 2 b. Multiply: (2x+y) by (x-y) 3. a. Simplify: 3x+2y-2x+y
hellp mee plzz
Answers
Answer:
a .[tex] \frac{21 {a}^{3} }{3 {a}^{2} } = 7a[/tex]
b.[tex](2x + y)(x - y) \\ = 2 {x}^{2} - 2xy + xy - {y}^{2} \\ = 2 {x}^{2} - xy - {y}^{2} \\ [/tex]
a.[tex]3x + 2y - 2x + y \\ = x + 3y[/tex]
I hope I helped you^_^
Answer:
a = 7a, b = [tex]2x^2 - yx - y^2[/tex]
Step-by-step explanation:
a. 21 / 3 = 7. [tex]a^3 / a^2 = a[/tex] (exponents are basically subtracted when dividing), creating 7a
b. [tex](2x + y)(x-y)[/tex]
Use FOIL for this or use the distributive property, either way. Then combine like terms
[tex]2x^2 - 2xy + yx - y^2[/tex]
[tex]2x^2 - yx - y^2[/tex]
20 points if these are correct pls.
Answers
Answer:
16. 42
21. 18
Step-by-step explanation:
Plane P is a cross-section of the solid below. What shape is the cross section?
A. not enough information
B. hexagon
C. pentagon
D. rectangle
Answers
Answer:
B. hexagon
Step-by-step explanation:
14.127 divided by 5.1 show work
Answers
9514 1404 393
Answer:
2.77
Step-by-step explanation:
Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.
Sole the inequality
2w+19<5
Answers
Answer:
21~5
becouse 21 Is bigger than 5w
ANSWeR RIGHT ANDIL ALSO GIVE 5 STAR AND BRAINLIEST
Answers
Answer:
3. Sanford Township, Minnesota
4. Inner Mongolia, China
5. Arunachal Pradesh, India
6.Almaty Region, Kazakhstan
7.Madhya Pradesh, India
Step-by-step explanation:
Express the relation(3, 5), (4, 6), (3, 8), (2, 4), (1, 3), as a mapping. Then determine the domain and range
Answers
Answer:
y
Step-by-step explanation:
f. 40% of students use the Math Lab on a consistent basis. If 1,250 students are
enrolled, about how many use the Math Lab on a consistent basis?
Answers
Hi
it's means multiplicate your number by 40/100 ie : 0.4
have a try. Math is all about method and practice.
g(x) = sqr root of x+3
What is the domain of g?
Answers
Answer:
[tex]all \: real \: numbers \: except \: \\ x + 3 < 0 \\ \: \: \: \: x < - 3[/tex]
Answer:
X is the domain and sqr root of X+3 is the range.
A box of 8 cellphones contains two yellow cellphones and six green cellphones. Complete parts (a) through (d) below.
a. If two cellphones are randomly selected from the box without replacement, what is the probability that both cellphones selected will be green?
b. If two cellphones are randomly selected from the box without replacement, what is the probability there will be one green cellphone and one yellow cellphone selected?
c. If three cellphones are selected with replacement (the first cellphone is returned to the box after it is selected), what is the probability that all three will be yellow?
d. If you were sampling with replacement (the first cellphone is returned to the box after it is selected), what would be the answers to (a) and (b)?
Answers
Probabilities are used to determine the chance of an event. The following are the summary of the solution.
The probability that the two selected cellphones are green (without replacement) is 15/28The probability that one green and one yellow is selected (without replacement) is 3/7The probability that all three cellphones are yellow (with replacement) is 1/64The probability that the two cellphones are green (with replacement) is 9/16The probability that one green and one yellow is selected (with replacement) is 3/8Given that:
[tex]n = 8[/tex]
[tex]G = 6[/tex] --- Green
[tex]Y = 2[/tex] --- Yellow
(a) Probability that the two cellphones are green (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]
[tex]Pr = \frac 68 \times \frac 57[/tex]
[tex]Pr = \frac{30}{56}[/tex]
[tex]Pr = \frac{15}{28}[/tex]
Hence, the probability that the two cellphones are green (without replacement) is 15/28
(b) Probability that one green and one yellow is selected (without replacement).
Since the cellphone is not replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex] ---- The subtraction means the cellphones are not replaced
This gives
[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]
[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]
[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]
[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]
Take LCM
[tex]Pr = \frac{3+3}{14}[/tex]
[tex]Pr = \frac{6}{14}[/tex]
[tex]Pr = \frac{3}{7}[/tex]
Hence, the probability that one green and one yellow is selected (without replacement) is 3/7
(c) Probability that the all three cellphones are yellow (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]
So, we have:
[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]
[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]
[tex]Pr = \frac 1{64}[/tex]
Hence, the probability that all three cellphones are yellow (with replacement) is 1/64
(d1) Probability that the two cellphones are green (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]
So, we have:
[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]
[tex]Pr = \frac{9}{16}[/tex]
Hence, the probability that the two cellphones are green (with replacement) is 9/16
(d2) Probability that one green and one yellow is selected (with replacement).
Since the cellphone is replaced, the probability is calculated as follows:
So, we have:
[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]
This gives
[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]
[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]
[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]
Take LCM
[tex]Pr = \frac {3+3}{16}[/tex]
[tex]Pr = \frac {6}{16}[/tex]
[tex]Pr = \frac {3}{8}[/tex]
Hence, the probability that one green and one yellow is selected (with replacement) is 3/8
Read more about probabilities at:
https://brainly.com/question/795909
a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec
Answers
answer:
Times it or multiply to get 2800000 then It should be B meter's by seconds.
Step-by-step explanation:
3 Which of the scientists responsible for cell theory would be the most likely to write a book titled Cells Come from Cells?
Hooke
Schleiden
Virchow
Schwann
Answers
Answer:
Virchow
Step-by-step explanation:
He was the one who discovered that all cells come from pre-existing cells, the third part of the cell theory.
Copyright Reserved
use a net to derive a formula
for the total surface area of
a cube,
Answers
Answer:
formula= 6ssquare
Step-by-step explanation:
where s is the length of the cube on each side
Help with number 7 picture above
Answers
9514 1404 393
Answer:
next: ←, ↑, →, ↓, ←
Step-by-step explanation:
It appears you want to identify a rule describing the sequence, then provide several additional elements in the sequence.
It looks to me like each successive element has been rotated 90° CW from the previous one.
Continuing that pattern, the arrows will point left, up, right, down, left.
y = 10 when x = - 4 , find y when x = 12
Answers
Answer:
y = -30
Step-by-step explanation:
Set the ratio: [tex]\frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex]
Let:
[tex](x_1 , y_1) = (-4 , 10)\\(x_2 , y_2) = (12 , y)\\[/tex]
Plug in the corresponding terms to the corresponding variables:
[tex]\frac{-4}{10} = \frac{12}{y}[/tex]
First, cross multiply.
[tex](-4 * y) = (10 * 12)\\-4y = 10 * 12\\-4y = 120[/tex]
Next, isolate the variable, y. Divide -4 from both sides of the equation:
[tex]\frac{-4y}{-4} = \frac{120}{-4}\\y = \frac{120}{-4}\\y = -30[/tex]
-30 is your answer for y.
All equilateral triangles are congruent. State whether the statement is true or false
True
False
Answers
Answer:
TRUE
If a triangle has three congruent angles, it is be equiangular. Since congruent angles have congruent sides opposite them, all sides in an equiangular triangle will also be congruent. Therefore, every equiangular triangle is also equilateral
Help!
Solve the equation: a/0.4 = –20
Answers
Answer:
i think this might be it? but most likely :) <3
Step-by-step explanation:
order these numbers in ascending order. -11/3, 90%, 89/4, 2
Answers
Answer:
[tex] - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} [/tex]
Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review
Answers
Answer:
9 is the correct answer
hope that it will help you
find the slope of the line
Answers
Answer:
m = (6-5)/(4-1)
m = 1/3
.............