The inverse of g(x) is x² + 7
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
g(x) = √(x-7)
So after switching x and y,
g(x) = y = √(x - 7)
becomes
x = √(y - 7)
Now, we solve for y regularly.
g(x) = y = √(x - 7)
Solve for y :
⇒ y² = x - 7
⇒ x² = y - 7
⇒ y = x² + 7
Therefore the inverse of g(x) is x² + 7
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9 = a - 8
Help me please
A dozen eggs cost $4.25 at the farm stand. Approximately how much does each egg cost (round to the nearest penny)
Determine the table of values for these simultaneous equations.
5 x + y = 7
3 x - y = 1
Step-by-step explanation:
5x + y = 7 ...1
3x - y = 1 ...2
...1 + ...2
5x + y + 3x - y = 7 + 1
8x = 8
x = 8/8
x = 1
Solve
-6y + 4 = |4y + 12|
Answer:
[tex]y = - \frac{4}{5} [/tex]
Find the decimal that is equivalent to: 3/11
A: .27
B:0.3
C: 3.6
D: 0.27
Answer:
D
Step-by-step explanation:
what is one and three hundred twenty-four thousand in decimal
Answer:
1.324
Step-by-step explanation:
"and" is basically the decimal
Answer:
.32400
Step-by-step explanation: just cs
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?
Answer:
Step-by-step explanation:
The exact result is 1.0518984 x 1011 Minutes
(sorry if this doesn't make much sense)
The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes
Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days = 200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes
Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.
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which statement is true about this equation?
y = -3x^2 + 4x - 11
a) it represents a function only
b) it represents a relation only
c) it represents both a relation and a function
d) it represents neither a relation nor not function
Answer:
C
Step-by-step explanation:
it represents both a relation and a function
Answer:
The correct answer is C. It represents both a relation and a function.
Step-by-step explanation:
I got it right on the Edmentum test.
lower perfect square root of
18
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.
Answer:
H0: sigma=12
H1:sigma≠12
This hypothesis test is a two tailed test.
Step-by-step explanation:
The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.
Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch
Answer:
He spends 8 dollars
Step-by-step explanation:
4 + 4 = 8
Hopefully this helps you :)
pls mark brainlest ;)
calculate the annswer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a factor of 15
Answer: 155
Step-by-step explanation:
Find the S20 of this series
2, 6, 18,..
The first term in our sequence = 2
The common ratio = 6 / 2 = 3
n = the term we want to find.
2 * (3)^(n - 1)
2 * (3)^(20 - 1)
2 * (3)^(19)
2 * 1162261467
2324522934 is the 20th number in the series.
There were 81 elk introduced in Missouri in 2012. In 2018, there are about 170 adults. If the population continues to grow linearly at this rate, what will the population be in 2020?
Answer:
there will be 259 elk
Step-by-step explanation:
Simplify:
(-2x + y - 4)-(-3x – 2y)
A. x - y - 4
B. x + 3y - 4
C. -5x + y - 4
D. -5x + 3y - 4
Answer:
B
Step-by-step explanation:
-2x + y - 4 - - 3x - - 2y That distribuates the minus sign in front of the second set of brackets.
-2x + y - 4 + 3x + 2y
x + 3y - 4
That looks like B
Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)
Answer: -17+3x
step by step:
4-3x3-11x2+3x+10
4-9-11x2+3x+10
4-9-22+3x+10
-17+3x
Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is (Simplify your answer.) B. There is no solution.
Answer: Choice A, x=-4
Step-by-step explanation:
1. 9x−(3x+9)=2x−25
2. 9x-3x-9=2x-25
3. 6x-9=2x-25
4. 6x-9=2x-25
-2x -2x
5. 4x-9=-25
+9 +9
6. 4x=-16 (divide both sides by 4)
7. x=-4
What is This Math Problem Equal To? 2×10+80÷2?
it is equal to 60 using pemdas
85° 80° 100° x°
How do I do this?
Answer:
x = 95 degrees
Step-by-step explanation:
if you add the two angles that are right across each other, it should equal 180 degrees, so you subtract 180 and 85 to get 95 degrees
find the solution of 4t - 2 = 9
Answer:
t = 11/4
Step-by-step explanation:
Step 1: Write out equation
4t - 2 = 9
Step 2: Add 2 on both sides
4t = 11
Step 3: Divide both sides by 4
t = 11/4
Answer:
[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]
Step-by-step explanation:
[tex]4t -2 =9[/tex]
Collect like terms and simplify
[tex]4t=9+2\\\\4t =11[/tex]
Divide both sides of the equation by 4
[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]
Find the volume of the prism.
Please help hurry
14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
Enter
Which of the following fractions have the same value as 16+(-3)? Check all that apply.
16
-3
I FIF
-16
3
16
3
16
3
16
Answer:
I think 1st option is ✔️ correct
Answer:
ACE
Step-by-step explanation:
Paige's backyard is rectangular. It has a
length of 50 yards and a width of 80 feet.
Find the perimeter of Paige's backyard
using the correct number of significant
digits.
Answer:
probably 130
Step-by-step explanation:
well your gonna need to add both numbers together to see the out come of the answer
Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)
5x - 2z = 8 -2y + 9z = 50 6x + 9y + 9z = 96
Answer:
there r algebra calulators you could use
Step-by-step explanation:
Which of these integers is not a whole number? A. -6 B. 6 C. 66
Answer:
-6
Step-by-step explanation:
Cuz it’s negative?
Answer:
-6 I think
Negative numbers are not whole numbers.
I need help and can u explain how to do it please and thank u
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]
π[tex]6^{2}=113.0973355[/tex]✦ Round:
[tex]113.0973355=113.1[/tex]So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
Answer:
yes ion think u need my help
Step-by-step explanation:
Marc is creating a rectangular garden in his back yard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.
Answer:[12,20]
Step-by-step explanation:
The value of width will be from 12 to 20.
What is the perimeter of the rectangle?The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.
Then the perimeter of the rectangle will be
Perimeter of the rectangle = 2(L + W) units
Marc is creating a rectangular garden in his backyard. The length of the garden is 18 feet. The perimeter of the garden must be at least 60 feet and no more than 76 feet.
Then the inequality is given as,
60 < 2(W + 18) < 76
Simplify the inequality, then the value of the width W will be
60 < 2(W + 18) < 76
30 < (W + 18) < 38
12 < W < 20
Thus, the value of the width will be from 12 to 20.
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Manny is participating in a Bike-a-thon and travels at a constant rate of 6 miles in 20 minutes.
a)Manny rode his bike for 3 hours. How far did he travel?
b)Manny rode his bike for 1.5 hours. How far did he travel?
Answer:
A. 54 miles B. 27 miles for the bikeathon
Sonya has a books. Nick has 3 more books than Sonya. How many books do both children have together?
Answer:
[tex]2a+3[/tex] books
Step-by-step explanation:
Sonya -> [tex]a[/tex] books
Nick -> [tex](a+3)[/tex] books
Total: [tex]a+(a+3)=a+a+3=2a+3[/tex]