Answers
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Related Questions
=
O LINEAR The length of a rectangle is 6 cm longer than its width.
If the perimeter of the rectangle is 56 cm, find its length and width.
cm
Х
length: 0
width: Ich
?
cm
Answers
Answer:
I. L = 17 cm.
II. W = 11 cm.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 56cm
Translating the word problem into an algebraic expression, we have;
L = W + 6 .....equation 1
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
56 = 2(L + W) ......equation 2
Substituting eqn 1 into eqn 2, we have;
56 = 2(W + 6 + W)
56 = 2(6 + 2W)
Opening the bracket, we have;
56 = 12 + 4W
4W = 56 - 12
4W = 44
W = 44/4
W = 11 cm
Next, we would find the length of the rectangle;
From eqn 1;
L = W + 6
L = 11 + 6
L = 17 cm
I WILL GIVE YOU BRAINERLEST AND A LIKE
Olivia's father is going to build a new
deck in the backyard. He draws this
design for the deck.
What is the area of the deck
Answers
Answer:
A=15
Step-by-step explanation:
10. Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need? a Yes, he has 1 cup left. B No, he needs 1 cup more. c Yes, he has 1 cup left. 0 No, he needs 1 cup more.
Answers
Answer:
A, Yes, he has 1 cup left
Step-by-step explanation:
5.25 at the start
5.25 - 3.5 = 1.75
1.75 + 2 = 3.75
3.75 - 2.75 = 1
Answer:
1
Step-by-step explantion:
bam theres the answer, its 1.
yes he has 1 cup left
An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.
Answers
Answer:
Step-by-step explanation:
150 mile by car x mph
630 mile by plane 3x mph
Total travel time equal 8 hours
150 / x mile / (mile / hour) = hour
630 / 3x mile / (mile / hour) = hour
150/x + 630/3x = 8 hours
450/3x + 630/3x = 8 hours
450 + 630 = 8(3x) = 24x
1080 = 24x
45 = x the rate of the car is 45 mph
PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!
Answers
Answer:
4,896sq
Step-by-step explanation:
just multiply bro
Answer:
104m²
Step-by-step explanation:
[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]
20 PTS LOOK AT PIC FOR QUESTION WILL MARK BRAINILEST clc
Answers
Answer:
295 square feet
Step-by-step explanation:
Break the figure up into 3 rectangles, and then find the area of each rectangle and add all areas together.
15*3=45
19*10=190
15*4=60
45+190+60=295
Answer:26 *15*4*5*3=23400
Step-by-step explanation: Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?
Answers
Answer:
You are having a stroke.
Step-by-step explanation:
1. Go to the hospital.
Find 110.9% of 133. Round to the nearest hundredth.
Answers
Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
how to find selling price when cost price and profit is given
Answers
so the selling price is pretty much the cost price + the profit
so its
selling price = cost price + profit
What is the exact mean or average number of crabs found per site? 
Answers
Answer:
just add them however many crabs their are just add all of the totals together then divide your answer by two.
Subtract.Write your answer as a fraction or a whole or mixed number. 10 1/3-3 2/3=
Answers
Answer:
as a mixed fraction 6 2/3, improper fraction 20/3
Due in 10 min plz help
Answers
Answer:
9 cm
Step-by-step explanation:
Answer:
9cm
Step-by-step explanation:
to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls
Answers
Answer:
500
Step-by-step explanation:
The number of times that josh rolled each number is given so the mean or average of the dice rolls is 3.6.
What is probability?Probability is a branch of mathematics that deals with the study of random events or outcomes.
It is concerned with determining the likelihood of an event or outcome occurring in a given situation.
The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.
The average of dice roll is:
Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)
Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)
Average = 1/100 x 36
Average = 3.6
Thus, the answer is 3.6.
For more details regarding probability, visit:
https://brainly.com/question/30034780
#SPJ2
Your question seems incomplete, the probable complete question is:
Solve each inequality. Then check each number that is a solution
I Don't know how to solve this. as nothing has helped so far.
Answers
Answer:
3, 6, 4, 5
Step-by-step explanation:
First of all we have to multiply 2 by 2x and -9 and we obtain
4x -18 ≤ 6
now we have to move -18 on the right side of the minor or equal and change its sign
4x ≤ 6 + 18
now we have to added up 6 and 18
4x ≤ 24
At least we have to divide the the two members by 4
x ≤ 6
We have to find the numbers ≤ 6
so the answer is : 3, 6, 4, 5
Answer:
click on 3,6,4,5 are less than or equal to 6
Step-by-step explanation:
2(2×3-9)= -6
2(2×6-9)= 6
2(2×4-9)= -2
2(2×5-9)= 2
2(2×7-9)= 10
In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?
Answers
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
Is 12.8 greater than 12.815?
Answers
Answer:
No,
12.8 = 12.800
Obviously, 12.800 < 12.815.
[tex] \infty \infty [/tex]
Answer:
[tex]12.8 < 12.815 \: \\ with \: a \:range \: of \: 0.015[/tex]
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answers
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
If K is the center of the circle, which line segment is the radius?
Answers
the line segment KN is the radius
Michelle and Jay both earn money by melting scrap iron. The amount of iron melted by Michelle, y cubic feet, after x hours is given by the equation y = 17/3x . The graph shows the amount of scrap iron melted by Jay after x hours. Who is spending more time scrapping iron? The picture is down below!
Pls don't put a link or I will report you!
Answers
Answer:
Jay
Step-by-step explanation:
by the graph, after 10 hours, Jay melts 95 ft³
by the equation y = 17/3x, after 10 hours, Michelle melts 0.57 ft³
the perimeter of a rectangle is 240 ft., If the length is 12 ft., then what is the width
Answers
Answer:
w=108
Step-by-step explanation:
Using the formula
P=2(l+w)
Solving for w
w=P /2﹣l = 240 /2﹣12 = 108
Answer:
width=20
Step-by-step explanation:
the area of a rectangle= length times width
12x=240
then you divide 12 by both sides, so the answer is 20
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a week?
pls answer its due to tomorrow ;-;
Answers
Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
A true/false test has questions. A passing grade is % or more correct answers.
a. What is the probability that a person will guess correctly on one true/false question?
Answers
Answer:
50%
Step-by-step explanation:
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answers
Answer:
-27
Step-by-step explanation:
The equation -a+7x, when plugged in shows -6+7*(-3).
This gives us -6-21 which is -27.
By the way can you follow me on Brainly?
Thanks!
Which image shows the position of
2
n a number line?
ОА
2
-1
0
1
OB.
th
1
-1
-3
- 2
2
3
Ос.
-2
0
-3
1
2
3
D.
+
-2
- 1
Answers
Answer:
b
Step-by-step explanation:
HELPPP PLEASE ITS DUE TODAY!!!
Does the set of points represent a function? Explain.
Answers
Answer:
NO
Step-by-step explanation:
Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.
From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.
Therefore, the set of points does not represent a function.
here's the question
Answers
Answer:
60
Step-by-step explanation:
perimeter (p) = 8 + 17 + 15 = 40
semi-perimeter (s) = p/2 = 20
Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.
Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60
Please Help POINTS: 15 (look at the screenshot below)
What is the ratio of the number of medals won by Jacob to the number of medals won by Antonio?
Answers
EXPLANATION:
Jacob has 8
Antonio has 4.
8/4 is the ratio
8/4 can be simplified to 2/1
Hope this helps!
At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?
Answers
Answer:
4 temp at 9 am
Step-by-step explanation:
At 1am temp=-6
At 5am temp=-1
5-1=4 hours and temp difference is -6+1=-5
so at 9 am temp will be -1+5=4
what is the mean of 4,5,8,3,4
Answers
Answer:
4.8
Step-by-step explanation:
4+5+8+3+4=24
24/5=4.8
help pleaseeeeeeeeeeeeee
Answers
Answer:
a
Step-by-step explanation:
