Answers
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
[tex]f(x) = \sqrt{x} - 5[/tex]
Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]
Inverse function:
[tex]y = \sqrt{x} - 5[/tex]
Exchanging x and y
[tex]x = \sqrt{y} - 5[/tex]
[tex]\sqrt{y} = x + 5[/tex]
[tex](\sqrt{y})^2 = (x+5)^2[/tex]
[tex]y = (x+5)^2[/tex]
The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]
Domain:
Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.
Answer:
B. f ^ -1 (x) = (x + 5) ^ 2;
x > -5
Step-by-step explanation:
Ap e x
Related Questions
What is 787,452 rounded to the nearest ten thousand?
Answers
Answer:
790000
Step-by-step explanation:
Answer:
790,000
Step-by-step explanation:
What clockwise rotation is equivalent to a 90° counterclockwise rotation?
Answers
Answer: 270°
Step-by-step explanation:
A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:
= 360 - 90
= 270°
If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.
Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answers
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
Please help me solve this problem
Answers
Answer:
72 in²
Step-by-step explanation:
lateral area: the surface area of a 3D figure, but excluding the area of any bases
the lateral area of this prism is the sum of the three rectangular sides.
calculate the third side of the triangle first because it's also the side of one of the rectangle:
√(5² - 4²) = 3
4 × 6 + 5 × 6 + 3 × 6 = 72
Which binomial is a factor of 3x^2 + 2x − 5 ?
3x-1
3x-5
x-1
x-5
Answers
Answer:
3x-1
Step-by-step explanation:
3x^2+2x-5=3x-1 x1-25
You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?
Answers
Answer:
1/16
Explanation:
You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16
Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answers
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
Which of the following are true statements about a 30-60-90 triangle?
Lan
Answers
Answer:
C and F
Step-by-step explanation:
Answer:
A, F
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1 : [tex]\sqrt{3}[/tex] : 2
1. A student enlarged this rectangle to fill as
much as possible of an 8.5 cm x 11 cm
piece of paper. What scale was used?
6.3 cm
4.7 cm
A 1.75
B 1 : 2.34
C 1 4.43
D 1 : 5.94
Answers
7k-6,2k+14 solve for K
Answers
Answer:
0.8k +14
Step-by-step explanation:
See the steps below:)
1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates
Answers
Answer:
15 plates
Step-by-step explanation:
450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.
Answer:
15
Step-by-step explanation:
Your units are a little confused.
The mass (total ) is 450 mg
1 plate weighs 30 mg
1 plate / 30 mg = x plates / 450 mg Cross multiply
1 * 450 = 30x Divide by 30
450 / 30 = x
x = 15
There are 15 gold plates.
7.
Reason The dot plot shows the numbers of pages students
in a class read during their dedicated reading time.
A. How many students are in the class?
B What percent of students read more than 6 pages?
Explain your reasoning
Pages Read During
Dedicated Reading Time
What fraction of the students read less than 5 pages?
D. How many total pages did all of the students read? Show your work
id speaker notes
Answers
Step-by-step explanation:
7equitacion h< y ⚽ de los siguientes dominios
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
Answers
Answer:
the number of days when instructor do the work alone is 8 days
Step-by-step explanation:
Given that
The apprentice can do the work in 24 days
And, the apprentice and instructor together can do it in 6 days
We need to find out the number of days when instructor do the work alone
So,
[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]
hence, the number of days when instructor do the work alone is 8 days
Find the quotient for 5,600÷8
Answers
Answer:
700
Hope this helps!!
Answer:
700
Step-by-step explanation:
The point (-8,0) reflected in the x-axis is
Answers
Answer:
That would be (8,0) my good sir ( ma'am )
Step-by-step explanation:
Have a nice day
The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?
Answers
Answer:
There is a 10 percent increase
can someone help me.?!
Answers
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
what is the answer to this?
Answers
Answer:
This is the answer:
330550=
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answers
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
Which fraction has the greatest value?
+
-1
0
Jh
1
O
Um
d
HELPPPPP!!!!
Answers
The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.
Answers
Answer:
The mean should be 75.3.
Step-by-step explanation:
[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]
Hope this helps!
can someone please help I will do anything
Answers
Answer:
678.24 cubic centimeters
Step-by-step explanation:
What is the magnitude of -3 +4i?
Answers
Answer:
we have
-3+4i
let magnitude be |z|
|z|=[tex] \sqrt{( - 3) {}^{2} + 4 {}^{2} } [/tex]
|z|=5 unit
Answer:
The magnitude of -3 +4i is 5
Step-by-step explanation:
Which polynomial function has a leading coefficient of 2, root-5 with multiplicity 3, and root 12 with multiplicity 1?
Of(x) = 2(x - 5)(x - 5)(x - 5)(x + 12)
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
O f(x) = 3(x - 5)(x - 5)(x + 12)
Of(x) = 3(x + 5)(x + 5)(x - 12)
Answers
Answer:
Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12) or Choice 2
Step-by-step explanation:
The last two answers get eliminated because their leading coefficients aren't 2. The first option is wrong because if you plug in -5 and +12 into x the function won't equal 0. So the correct answer is the Second answer: Of(x) = 2(x + 5)(x + 5)(x + 5)(x - 12)
Answer:
The polynomial function that has a leading coefficient of 2, a root of 5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is choice 2.
Step-by-step explanation:
A leading coefficient of 2 means that the number multiplying all the binomial would be 2, so you know it is not choices 3 and 4. A root of -5 with a multiplicity of 3 means that when you replace x with -5, three binomials will result in 0, which helps eliminate the first choice. A root of 12 with a multiplicity of 1 means that when you replace x with 12, you will have a binomial that results in 0. Using all of this information, you'll get that the polynomial that has a leading coefficient of 2, a root of -5 with a multiplicity of 3, and a root of 12 with a multiplicity of 1 is [tex]f(x)=2(x+5)(x+5)(x+5)(x-12)[/tex].
PLZ HELP PLZ PLZ this is my last final plz
A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58
Answers
Answer:
b
Step-by-step explanation:
Solve for x.
17
6
15
Answers
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
The table below shows the number of students in four schools with grade
point averages in various ranges. The grade point averages of the students in
which school represent a U-shaped distribution?
School A School B School C School D
Greater than 1.5 but less than 2.0 22 15 82 19
Greater than 2.0 but less than 2.5 39 43 46 57
Greater than 2.5 but less than 3.0 67 98 26
81
Greater than 3.0 but less than 3.5 41 45 59 50
Greater than 3.5 but less than 4.0 27 12 78 17
A. School B
O
B. School C
C. School D
Ο Ο
D. School A
Answers
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
school c so B would be correct
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answers
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answers
Answer:
33% of the people preferred onions
can i get brainliest now lol
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answers
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]