Answer:
B
Step-by-step explanation:
got it right on edge
The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
What is Inverse of Function?An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function which gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.
Given:
f(x) = x² – 2x
We can find the inverse function by solving for y:
x = f(y)
x = y² -2y
x +1 = y² -2y +1
x +1 = (y -1)²
√(x +1) = y -1
1 +√(x +1) = y
So, the inverse function is
[tex]f^{-1}[/tex](x) = 1 +√(x +1)
Thus, the minimum value of x for which the original function has this as an inverse is 1.
So, The domain restriction is x ≥ 1 and inverse function is f⁻¹(x) = 1+√(x+1)
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The table below shows the amount of money Sarah spends for a craft demonstration. Number of People Attending Cost 5 $15 8 $18 10 $20 15 $25 Sarah spends a total of $60. Based on the information in the table, how many people attended the craft demonstration? 20 30 50 70
Answer:
Nobody who paid $18 attended, because that can't be part of $60.
Step-by-step explanation:
4 at $15
10 at $20
15 at $25
=
29 people.
There are 30 people was attended the craft demonstration.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that number of people attending at respective costs as 5 at $15, 8 at $18, 10 at $20, 15 at $25
Since Sarah spends a total of $60.
As per the condition,
So the number of people who attended the craft demonstration attending at respective costs would be 5 at $15, 10 at $20, and 15 at $25
⇒ 5 + 10 + 15 = 30
Thus, the required number of people would be 30 because $18 can't be included in $60, anyone who paid that amount attended.
Therefore, there are 30 people was attended the craft demonstration.
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what is the21st term of -3,2,7
Answer:
102
Step-by-step explanation:
The first step is to find out how to find the next number in the term.
In this we can see that to get to the next number in the term we need to add 5.
The easiest way to figure out the 21st term of this, would be to multiply 5×21. This is equal to 105.
But since we started at three less than 5, we need to subtract 3 from 105. 105-3=102.
The 21st term is 102.
If f(x) = 2x², what is f(a+3)?
Answer:
2 a ^2 + 12 a + 18
Step-by-step explanation:
Substitute the given value into the function and evaluate.
Hope this helps!
If I said that in three days' time it would be a Thursday, I am sure that most of you would have no difficulty telling me that today was a Monday.
Try this one then. Yesterday was two days before Monday. What day is it today? Yes, you're right again. It's Sunday. Do you get the idea?
Now let's tackle a similar question from The National Mathematics Contest (1991) Paper:
Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?
PLEASE HELP
Answer:
thursday
Step-by-step explanation:
The sum of two numbers is 97. The larger number is three less than four times the smaller number. Find the numbers.
Answer:
20 and 77
Step-by-step explanation:
4x-3+x=97
5x-3=97
5x=97+3
5x=100
x=20
Have a NICE day
The larger number is 77 and the smaller number is 20.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The sum of two numbers is 97.
Assuming the numbers to be a and b.
∴ a + b = 97...(i)
Also given, The larger number is three less than four times the smaller number,
Assuming the larger number to be a, therefore a = 4b - 3...(ii)
Substituting the value of a in eqn(i) we get,
4b - 3 + b = 97.
5b = 100.
b = 20, hence a = 77.
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Solve for 6x+3x-4=32 and find what is 2x
Answer:x=4 2(4)= 8
Step-by-step explanation:
6x+3x= 9x
9x-4=32
9x=36
36/9=4
Answer the question below fast
Answer:
The answer is 10.5 in decimal form
If -11 + N = -11, then N is the
o multiplicative inverse
O additive inverse
O additive identity
o multiplicative identity
Answer:additive inverse
Step-by-step explanation:
What is the range of the graph below?
PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse
Answer:
True
Step-by-step explanation:
every x only has one y
for the given points a(-4 6) and b(6 -4) find the slope of a line through points A and B
Answer:
the required slope of the points is -1...
What do you know about x and y if their product is zero?
Step-by-step explanation:
Either x = 0 or y = 0. (Zero product rule)
Is my answer right? I think it’s A, but I don’t want to get it wrong.
In right triangle ABC, A = 42°. Find the measure of B which is the other non
right angle.
A=42
C=90
B=48
We can reason that C will be equal to 90 since it is the right angle. So to find B we have to subtract 90 from 180 to get 90 then subtract 42 to get 48
B=48 degrees
5x – 2y + (7x - y) for x = 7 and y = -2.
Plug in the values to solve this problem.
[tex]5x-2y+(7x-y), x=7, y=-2[/tex]
[tex]5(7)-2(-2)+(7(7)-(-2))[/tex]
[tex]35+4+(49+2)[/tex]
[tex]39+51[/tex]
[tex]90[/tex]
Hope this helps.
頑張って!
What is the measure of angle SRW
Answer:95
Step-by-step explanation:
Is this relation a function
Answer:
yes
Step-by-step explanation:
every value of the domain only has one corresponding value
P(n) =-n -1 ;find p(10)
Answer:
p(10) = - 11
Step-by-step explanation:
To find p(10) substitute n = 10 into the rule, that is
p(10) = - 10 - 1 = - 11
Steps to solve:
P(n) = -n - 1; p(10)
~Substitute
P(10) = -(10) - 1
~Simplify
P(10) = -11
Best of Luck!
A ketchup Company purchased eight shipments of tomatoes, they were 900 tomatoes in each shipment how many did the company purchased in all
Answer:
7200 tomatoes
Step-by-step explanation:
8 shipments of tomatoes at 900 tomatos per shipment add up to 7200 tomatoes. That';s the product of 8 shipments and 900 tomatoes per shipment.
b. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
c. If some amount of water contains 3380 oxygen atoms, how many hydrogen atoms does it contain?
hydrogen atoms
Preview
d. Write a formula that expresses the number of hydrogen atoms (y) in any time amount of water in terms of the number of oxygen atoms
that amount of water.
Answer:
B: 2800 hydrogen atoms
C: 6760 hydrogen atoms
D: y=amount of oxygen atoms*2
Step-by-step explanation:
B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.
C: Same thing as B. 3380*2=6760
D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.
— 7х – 10 = 18 + 3x
Solve the equation
Answer:
-2.8 = x
Step-by-step explanation:
-7х – 10 = 18 + 3x
+7x. +7x
-10. = 18+ 10x
-18. -18
-28. = 10x
/10. /10
-2.8 = x
.Occurrences in the natural and human-made world that can be observed and cause one to wonder and ask questions are known as whact?
Answer:
scientific phenomena
Step-by-step explanation:
Help please! I need the answers for the two fill-in-the-blanks.
Answer:
The first column is transformation
The second one I have forgotten
Need other help
I need help with this problem 2•1/2+4(4•2-7)
Answer:
5
Step-by-step explanation:
2×1/2 + 4×(4×2 - 7) = ⇒ multiplication1 + 4×(8 - 7) = ⇒ parenthesis1 + 4×1 = ⇒ multiplication1 + 4 = ⇒ addition5 ⇒ answerPoint O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.
Answer: NO =
Answer:
Given : NP is a line segment
and O is the mid point
therefore, we can write
NP = NO + OP
now put the values
under NP write 2x , NO = x+7 , OP = 10
Therefore the equation that comes to us after putting values is
2x = x+7 + 10
now solving
2x - x = 7+10
x = 17
therefore
numerical length of NO = x+7
i.e. , 17 + 7 = 24
HOPE U FIND THIS ANSWER USEFUL TO U
THANK U
Solve
1/2(3-12)=1/4(S+ 16)
Answer:
S = (-34)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
A satellite's speed is
10,000 m/s. After 1
minute, it is 5,000 m/s.
What is the satellite's
acceleration?
Answer:
-83.33 [tex]m/s^2[/tex]
Step-by-step explanation:
Given that:
Initial speed of satellite = 10,000 m/s
Final speed of satellite = 5,000 m/s
Time taken = 1 minute
Let us convert it into seconds.
Time taken = 1 minute = 60 seconds
Let us have a look at the formula:
[tex]v=u+at[/tex]
where [tex]v[/tex] is the final speed
[tex]u[/tex] is the initial speed,
[tex]t[/tex] is the time taken and
[tex]a[/tex] is the acceleration
[tex]5000=10000+a\times 60\\\Rightarrow 60a = 5000-10000\\\Rightarrow 60a = -5000\\\Rightarrow a = -\dfrac{5000}{60}\\\Rightarrow \bold{a = -83.33\ m/s^2}[/tex]
Negative sign indicates that the satellite is in slowing down motion i.e. its speed is decreasing.
So, the answer is:
-83.33 [tex]m/s^2[/tex]
NEED HELP ASAP!!!
A square patio has an area of 189 square feet. How long is each side of the patio to the nearest tenth? Each side of the patio is approximately ______ feet long.
Does this equation has one solution, no solution, or infinitely many solutions? 2(x + 2) =2x - 8 Question
Answer:
no solution
Step-by-step explanation:
2(x + 2) = 2x -8
2x+4 = 2x-8
2x - 2x =-8 - 4
0 = -12
if the numbers r not the same on both right and left side it have no solution.
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for any question comment me
-12 = 2 + 5y + 2y
Can you me do the work
Answer:
-2 =y
Step-by-step explanation:
-12 = 2 + 5y + 2y
Combine like terms
-12 =2+7y
Subtract 2 from each side
-12-2 = 2+7y-2
-14 = 7y
Divide each side by 7
-14/7 = 7y/7
-2 =y