How would you limit the domain to
make this function one to one?
f(x) = (x-4)^2
Answers
Given
\(f(x)=\left(x-4\right)^2\)Find
Limit the domain to make this function one to one.
Explanation
As we know this function is not one to one.
the domain of the function is
\((-\infty,\infty)\)to make it one to one we limit the domain to
\(x\ge4\text{ or x}\leq4\)Final Answer
we limit the domain to
\(x\ge4\text{ or x}\leq4\)to make this function one to one.
Related Questions
Please help me with this
Answers
1. The required amount y after t years is as shown below:
When t=1, y=74550
When t= 5, y = 88750
When t= 10, y = 106500
When t= 15, y = 124250
When t= 20, y = 142000
2. The required amount y after t years is as shown below:
When t=1, y = 73840
When t= 5, y = 86382.35607
When t= 10, y = 105097.3442
When t= 15, y = 127866.988
When t= 20, y = 155569.743
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
1. x = 71000
r = 3550
Use the below formula to find amount y after t years
y = x+( rt )
When t=1, y= 71000 + ( 3550 * 1) = 74550
Similarly,
When t= 5, y = 88750
When t= 10, y = 106500
When t= 15, y = 124250
When t= 20, y = 142000
2. 4% = 0.04
Use the below formula to find amount y after t years
y = x *( 1 + r )^ t
=> y = 71000*( 1.04)^t
When t=1, y= 71000 * ( 1.04)^1 = 73840
Similarly,
When t= 5, y = 86382.35607
When t= 10, y = 105097.3442
When t= 15, y = 127866.988
When t= 20, y = 155569.743
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Graph the equation. y=9/x, x ≠ 0 Choose the correct graph below.
Answers
ANSWER
Option A
EXPLANATION
What is the fractional form of 0.8 repeating ? A 8/10 B. 1/8 C.8/9 D 8/11
Answers
Answer:
C
Step-by-step explanation:
8 divided by 9 = 0.8888...
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answers
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
Answers
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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The table and statement show the hours worked and the amounts paid for two workers.
A table labeled Worker A Earnings. It contains a row for Hours worked with the amounts 7, 12, 21, 33, 40, and a row for Amount paid with the amounts 87.50, 150, 262.50, 412.50, and 500.
Worker B earns $11.25 per hour
Which statements about the rates of pay for the two workers are true?
Select each correct answer.
Worker A earns less per hour than Worker B.
Worker B earns more after 10 hours than worker A.
Worker A earns $12.50 per hour.
After 20 hours of work, Worker A earns more than Worker B.
Answers
Answer:
its worker b earns more after 10 hours than worker a
Step-by-step explanation:
A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent is called a(n)
-kite
-isosceles
-mid segment
-leg
-base
-base angle(s)
-trapezoid
Answers
Answer:
a kite
Step-by-step explanation:
A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
X
-1
0
1
2
3
y
1
10
1252
25
2
125
2
52:41
What is the rate of change of the function described in
the table?
ㅇ12/5
O5
ㅇ25/2
○ 25
Answers
Based on the figures given in the table, the rate of change of the function is b. 5.
What is the function's rate of change?This can be found as:
= (Y₂ - Y₁) / (X₂ - X₁)
Use points:
(0, 1/2) and (1, 5/2)
Solving gives:
= (5/2 - 1/2) / (1 - 0)
= 5
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
Answers
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Write 180 grams as a percentage of 1 kilogram
Answers
Answer:
18%
Step-by-step explanation:
There are 1000 grams to a kilogram, so to find the percentage of a kilogram, simply divide by 1000.
180 ÷ 1000 = 0.18 kilograms (or 18%)
Answer
18%
Step-by-step explanation:
One kilogram is a thousand grams and one gram is .1% of one kilogram. So 180 grams would be 18.0% kilograms
(but you can drop the zero to 18%)
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answers
Answer:
Step-by-step explanation:
$100x0.5x1=$5
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and inequality for the graph.
Answers
Answer:
Step-by-step explanation:
Rectangle LMNO has vertices L(–4,6), M(–1,6), N(–1,2), and O(–4,2). Suppose you first reflect this rectangle across the y-axis. Then, translate it down four units and to the left one unit. Where are the corresponding vertices L′M′N′O′ located?
Answers
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).
If a point (x, y) is reflected across y-axis, rule to be followed,
(x, y) → (-x, y)
After reflection across y-axis new ordered pairs will be,
L(-4, 6) → L"(4, 6)
M(-1, 6) → M"(1, 6)
N(-1, 2) → N"(1, 2)
O(-4, 2) → O"(4, 2)
Then these points were translated 4 units down and 1 unit left,
Rule to be followed for the translation will be,
(x'', y'') → [(x' - 1), (y' - 4)]
By this rule vertices of the rectangle after translation will be,
L''(4, 6) → L'(3, 2)
M''(1, 6) → M'(0, 2)
N''(1, 2) → N'(0, -2)
O''(4, 2) → O'(3, -2)
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
please hurry i need this fast
Answers
This triangle is congruent under the ASA congruence postulate as the two corresponding parts of this triangle which are angles are equal and there is one equal side . The equal side is the common side of both these triangles .
Find the percent of change.
From 25 teachers to 30 teachers.
Answers
Answer:
To calculate the percent change of two numbers, such as 25 to 30, you use the Percent Change Formula, where a is the start value and b is the end value.
(b - a)/a × 100
When we insert a = 25 and b = 30 in the formula above, then we get the following that we can simplify and solve to get the percent change from 25 to 30.
(30 - 25)/25 × 100
5/25 × 100
Change = 20%
Step-by-step explanation:
Select the correct answer.
Based on the end behavior of the graph, which polynomial function is graphed here?
1
-2
--3
OA. 1x)=34 - 6x2 - 2x +x+3
OB. RX) =-3x2 -27 +3+3
OC 1x) = 34 - 6x2 - 2x2 + x+3
OD. Ax) = 3x3 - 237 ++3
Answers
Answer:
A
Step-by-step explanation:
nsjjdhdhduduyf if ueuheueuheehdhufgrueueuududuududududuss
Pls help I’ll brainlest
Answers
Answer:
Step-by-step explanation:
Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.
3x+6-2x=6x-12
1x+6=6x-12
-1x -1x
6=5x-12
+12. +12
18=5x
3.6=x
1.Distribute
2 if you do something to one side of the equation you have to do the same to the other
kohl's is having a sale on shoes where you can buy 4 pairs of shoes for $92. walmart is also having a sale where you can buy shoes for $23 each. who has the better deal on shoes ?
Answers
4 x 23 = 92
four shoes cost $92 at Wallmart, but its the same at kohl's
wallmart price = kohl's price
$92 = $92
they are equal
sam rented a truck for one day there was a base fee of 18.99 and there was an additional fee of 79 cents for each mile driven. Sam had to pay 213.33 when he returned the truck how many miles did he drive the truck.
Answers
Sam drove approximately 246 miles.
Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:
213.33 - 18.99 = 194.34
We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:
194.34 = 0.79x
where x is the number of miles driven.
To solve for x, we can divide both sides of the equation by 0.79:
x = 194.34 / 0.79 ≈ 246
Therefore, Sam drove approximately 246 miles.
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factorise:x^3-(y-z)^3
Answers
The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.
The given expression is \(x^3 - (y - z)^3.\)To factorize it, the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)
Applying this identity to our expression, we have:
\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)
Simplifying further, we get:
\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)
So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)
the above factorization is derived from the application of a mathematical identity.
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what is the product of 2/1 and (-2/3)?
Answers
Answer: -4/3 or - 1 1/3
Step-by-step explanation: 2 times -2 = -4 and 3 times 1 is 3.
What's -9 x 7 plssssssssss answerrrrr quicklyyyy
Answers
Answer:63
Step-by-step explanation:
I need help with geometry! I need to find x and y, please help asp
Answers
Check the picture below.
Simplify: 2(x+6) show work please
Answers
Answer:
2x + 12
Step-by-step explanation:
2(x + 6) =
2(x) + 2(6) =
2x + 12
Hope that helps!
Answer:
2x+12 by distributing
2x=-12
x=-6
What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?
Answers
Answer: 450000, 160
Step-by-step explanation:
4.5 ⋅ 10^5 =
4.5*100000=
4*100000+0.5*100000=
400000+50000=450000
1.6 ⋅ 10^2=
1.6*100=
1*100+0.6*100=
100+60=160
I really need help answering this question, the question is the attachment below.
Answers
Answer:
49.6
Step-by-step explanation:
Answer:
Please mark as brainliest;)
can someone help PLS? its Surface Area of Composite Shapes
Answers
The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.
Given information:
The cylinder is sitting on the base of the cone.
The diameter of the base is 14 feet.
The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.
To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.
The surface area of the cone:
The radius of the cone is half of the diameter, which is 7 feet.
The lateral surface area of the cone can be found using the formula:
L = πrs, where r is the radius and s is the slant height.
L = π(7)(9) = 63π square feet
The base of the cone is a circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
The surface area of a cylinder:
The radius of the cylinder is also 7 feet since it shares the same base as the cone.
The lateral surface area of the cylinder is:
L = 2πrh, where r is the radius and h is the height.
L = 2π(7)(11) = 154π square feet
The base of the cylinder is another circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
Total surface area:
Adding the lateral surface area and the base area of the cone and cylinder, we get:
63π + 49π + 154π + 49π = 315π square feet
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The equation is solved. Describe the property used in each solution.
-2/3a = 8
A. -2/3a (-3/2) = 8 (-3/2)
a = -12
B. -2/3a ÷ - 2/3 = 8 ÷ -2/3
a = -12
A. 1. addition of equality
2. subtraction property of equality
3. division property of equality
4. multiplication property of equality
B 1. addition of equality
2. subtraction property of equality
3. division property of equality
4. multiplication property of equality
answer...
A. multiplication property of equality
B. Division property of equality
Answers
multiplication property of equality
Division property of equality
3 x 2
3
What is the answer
Answers
Answer:3x32= 96
Step-by-step explanation:Hope this helped u also may i plz have brainlist. good day kind sir or ma'am.