9514 1404 393
Answer:
(a) g^-1(x) = ±√(x -1)
(b) 0
(c) 17
Step-by-step explanation:
(a) The inverse is found by solving for y:
x = g(y)
x = y² +1
x -1 = y² . . . . . . subtract 1
y = ±√(x-1) . . . . take the square root
g^-1(x) = ±√(x -1) . . . . in functional form
Note: the inverse of g(x) is not a function, because it is double-valued.
__
(b) f(h(-2)) = f(-2+1) = f(-1) = f(-1+1)
f(h(-2)) = 0
__
(c) g(f(3)) = g(3+1) = g(4) = 4² +1
g(f(3)) = 17
V/8=2
Find the value of V?
Answer:
16
Step-by-step explanation:
Basic Algebra, isolate V.
Do the opposite equation to get V on its own.
Because it is V/8, multiply both sides by 8 to get 8 on its own (if you wanted to move v over you would divide)
[tex]\frac{v}{8} =2[/tex]
[tex]v =2*8[/tex]
[tex]v =16[/tex]
Help................
Answer:
C
Step-by-step explanation:
4/9 ÷ 8/15 equals what
Answer:
.8333333333333333
Step-by-step explanation:
83/100
Answer:
0.83 or 83/100
Step-by-step explanation:
What is the purpose and importance of a linear function?
Answer:
Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.
Step-by-step explanation:
Answer:
Welcome to brainly and, The linear function is popular in economics. It is attractive because it is simple and easy to handle mathematically. It has many important applications. Linear functions are those whose graph is a straight line. A linear function has the following form. I will will u an example that its looks like this : y = f (x) = a + bx. A linear function has one independent variable and one dependent variable.
Which graph represents the function y = cos(4x)?
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 1).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 1).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at pi. It crosses the y-axis at (0, 0).
On a coordinate plane, a function has a maximum at 1 and minimum at negative 1. It completes one period at StartFraction pi Over 2 EndFraction. It crosses the y-axis at (0, 0).
Mark this and return
Answer:
C. on edge
Step-by-step
The graph that represents the function, based on the maximum and minimum values, and the period of the function, y = cos(4·x) is the option;
On a coordinate plane, a function has a maximum value at 1, and a minimum at negative 1. It completes one period at π/2. It crosses the x-axis at (0, 1)What is the period of a function?The period of a function is the length of the smallest interval over which the function repeats its values.
The function y = cos(4·x) has a maximum value of 1 and a minimum value of -1. '
The period of the function is; 2·π/|4| = π/2, which indicates that the function completes a cycle in an interval of π/2.
The function crosses the y-axis at x = 0, at which y = cos(4 × 0) = 1
The above information indicates that the graph that represents the function is the one that has a maximum of 1 and a minimum, of -1, completes a period at π/2, crosses the y-axis at (0, 1)
The correct option is therefore;
On a coordinate plane, a function has a maximum at 1, and minimum at negative 1. It completes one period at π/2. It crosses the y-axis at (0, 1)
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please answer this question ASAP
Answer:
C
Step-by-step explanation:
Simplify: 5(6-ab)+2(-7+3ab)
Answer: ab + 16 fsxewcvrvfe
Answer:
16+ab
Step-by-step explanation:
5(6-ab)+2(-7+3ab)
30-5ab-14+6ab (distribute)
16-5ab+6ab (subtract)
16+ab (collect like terms)
Help me please ..........
Beth was given an equation to solve when she solved the equation she got the correct answer of x equals 7 explain what this solution tells her about the original equation
PLEASE QUICKLY HELP ME!!
The side of a square measures (4x − 7) units.
Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
(10 points)
Answer:
Part A: 16x^2 -56x+49
I'm not quite sure on Part B and C though, sorry :/.
Step-by-step explanation:
To find the expression we need to solve (4x-7)•(4x-7)
4x•4x = 16x^2
4x•-7= -28x
-7•4x= -28x
-7•-7=49
Combine alike terms
16x^2-56x+49
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Write the equation of the line that has m = -1/2 and containing the point [4,-5]
Answer:
y=-1/2x-3 = slope-intercept
y+5=-1/2(x-4) = point-slope
Step-by-step explanation:
I used the slope and the point provided to get other points and eventually the y-intercept to complete the slope-intercept equation.
I plugged in the numbers provided to get the point-slope equation.
To anybody who is really good at math can you click on the image and answer the 4 questions please and thanks!
Answer:
I did this erlier but...
1) Wallmart
2)16 Oz
3)You woluld save 7 cent per pound by choosing the 11 lbs turkey.
4)You would save $2.00 per notebook. You would save $10.00 buy buying 5.
Step-by-step explanation:
You divide the price by size.
Exaple:
3.99/12
I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell? CAN SOMEONE ANSWER IT PLZ
9514 1404 393
Answer:
12 muffins15 cookiesStep-by-step explanation:
Often, you can work these problems in your head.
If you sold all cookies, your revenue would have been 27×3 = 81. It was 129-81 = 48 more than that. Each muffin generates 4 more revenue than a cookie dies, so there must have been 48/4 = 12 muffins. The 27-12 = 15 were cookies.
You sold 15 cookies and 12 muffins.
__
If you let a variable represent the most expensive item (m for muffins), then you can write an equation for the revenue. You may recognize that some of the steps in the solution match the "verbal" solution above.
3(27 -m) +7m = 129
4m +81 = 129
4m = 129 -81 = 48
m = 48/4 = 12 . . . muffins
27-12 = 15 . . . cookies
Which table shows a proportional relationship between x and y?
x 2 3 5 6
y 3 4 7 9
x 1 5 8 10
y 15 75 120 150
x 4 6 8 10
y 6 8 10 12
x 3 9 10 15
y 1 3 4 5
Answer:
The third table.
Step-by-step explanation:
To have a proportional relationship there must be a constant rate of change
6-5 / 9-7 = 1 /2
5-3 /7-4 = 2/3
these are different so this is not a proportional relationship
10-8 /150-120 =2/30
8-5 /120-75 =3/45
these are different so this is not a proportional relationship
10-8 /12-10 =2/2 =1
8-6 /10-8 =2/2= 1
These are the same therefore it is proportional
what is the equation of the line that passes through (2,-3) and is parral led to the equation below ?
y= 1/2x+8
Answer:
y=1/2x -4
Step-by-step explanation:
The cost of a compact disc is $18. Mrs. Meridth bought 3 discs and received a 15% discount. If the sales tax is 8.8%, find the total price. Show each step.
Answer:
$49.572
Step-by-step explanation:
Given that :
Cost per disc = $18
Number of disc purchased = 3
Discount received = 15%
Sales tax = 8%
Original cost : cost per dic * number purchased
Original cost = $18 * 3 = $54
Discounted price = (100 - 15)% * $54
Discounted price = $45.9
Sales tax :
(100 + 8)% of $45.9
108% * $45.9
= $49.572
Total price = $49.572
the value of a car decreases by 20 percent each year. Mr. sing purchases a 22,000 automobile. What is the value of the car at the end of the second year?
Answer:
Step-by-step explanation:
13,200
Answer:
Step-by-step explanation:
17600
Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures.
A.right triangle
B.obtuse triangle
C.multiangular triangle
Answer:12
Step-by-step explanation:hxdhvxrjjnvcxx
can someone help me figure this out?
Answer:
Il try So try to see what angle it is at
Step-by-step explanation:
If the rectangle below is enlarged using a scale factor of 3.5, what will be the PERIMETER of the new rectangle?
Answer: 3.5 x 2 = 7.0
8 x 2 = 16
Step-by-step explanation:
23.0
A number multiplied by 2 is no more than 12
X > 12
x < 12
2<_12
2x > 12
A rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. Determine the area of the lawn that is being watered. Use 3.14 for pi. Round to the nearest tenth.
Answer:
69.1²feet
Step-by-step explanation:
area = pi x r²
11x2= 22
22x 3.14 = 69.08
69.1
The area of the lawn that is being watered is, 380.1 feet².
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
here, we have,
area = pi x r²
so,
11^2= 121
121x 3.14
= 380.1
Hence, The area of the lawn that is being watered is, 380.1 feet².
To learn more on area of circle click:
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Write an equation of a parabola in standard form that has a vertex of (-3,-4) and passes through (1,4)
As we know vertex -
[tex]y=a(x+3)^2-4[/tex]
Passes through (1,4). Substitute x = 1 and y = 4
[tex]4=a(1+3)^2-4\\4=a(4)^2-4\\4=16a-4\\4+4=16a\\16a=8\\a=\frac{8}{16}\\a=\frac{1}{2}[/tex]
Therefore the vertex equation is [tex]y=\frac{1}{2}(x+3)^2-4[/tex]
Since you want the "standard" form then..
[tex]y=\frac{1}{2}(x^2+6x+1)\\y=\frac{1}{2}x^2+3x+\frac{1}{2}[/tex]
So the standard form is 1/2x^2 + 3x + 1/2
A really tough trivia quiz has 50 multiple-choice questions, each with four possibleanswers. Use a normal approximation to calculate the probability of randomly guessing the correct answers for at least half of the questions.
Answer:
0.00004
Step-by-step explanation:
Given that:
n = 50
Number of options = 4 ; 1 is the correct answer
Hence ;
p = 1/4 = 0.25
Using normal approximation :
Mean (m) = np = 50 * 0. 25 = 12.5
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0. 25 = 0.75
s = √(50*0.25*0.75) = 3.062
At least half the question :
Half the question = 1/2 * 50 = 25
P(X ≥ 25) = P(X ≥ 24.5)
(x - m) / s
P(X ≥ 24.5) = (24.5 - 12.5) / 3.062
= 12 / 3.062
= 3.919
P(Z ≥ 3.919) = 0.00004 (Z probability calculator)
If 3 pounds of peanuts cost $6.30, how much would 4.5 pounds cost?
Answer:
it would cost 9.05.....
A=5 btw
Please help btw I’m in 7th Grade
Answer:
1. a =3(2a) +5 and a= 6a+5
2. 47=3(2times 7) +5 and 47 =6 time 7 plus 5
Step-by-step explanation:
Is it 1,2,3,4 .................
Answer:
200 +50x
Hope This Helps!
There were 10 students in a teacher's classroom. The next week, there were 19 students. What is the percent increase
of the number of students?
Class commante
Answer:
Step-by-step explanation:
Write an expression for the total cost of movie tickets and popcorn for a group of friends attending a movie, x, if: Movie tickets cost $8.50 each and Each friend will have a box of popcorn that cost $2.25 each. Let x represent the number of friends attending the movie.
Answer: 8.50x + 2.25x
Step-by-step explanation:
whats the equation of the line shown below
Answer:
y = -3x + 3.
Step-by-step explanation:
The marked points on the line are (0, 3) and (1, 0) so:
the slope is (3 - 0) / (0 - 1) = -3.
The y-intercept is y = 3.
Therefore the equation of this line is y = -3x + 3.
