Given:
The function is:
[tex]f(x)=x^2-16[/tex]
To find:
The inverse of the function.
Solution:
We have,
[tex]f(x)=x^2-16[/tex]
Step 1: Substitute [tex]f(x)=y[/tex].
[tex]y=x^2-16[/tex]
Step 2: Interchange x and y.
[tex]x=y^2-16[/tex]
Step 3: Isolate y.
[tex]x+16=y^2[/tex]
[tex]\pm \sqrt{x+16}=y[/tex]
[tex]y=\pm \sqrt{x+16}[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex]
Therefore, the inverse function of the given function is [tex]f^{-1}(x)=\pm \sqrt{x+16}[/tex].
Please answer correctly! I will mark you as Brainliest
Answer:
Choice D
Step-by-step explanation:
Choice D, 3072ft^2 is the correct answer.
Here's how! The length AND width are both 24, so we know that 24 * 24 is our start. Then the height of the pyramid is 16, which now makes our equation 24 * 24 * 16. When finding the volume of a pyramid, you must divide by 3, so now the answer is (24 * 24 * 16) / 3. Making the answer 3072ft^2.
Hope this helped!
Answer:
3072
Step-by-step explanation:
volume =(1/3) hight ×width×length
v=(1/3) × 16 × 24 × 24
v=3072
Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answer:
Origin
Step-by-step explanation:
Origin is the starting points (0,0)
Hope this helped :)
help me pls & thank you:)
Answer:the answer is 53 degrees
160 overall degrees 3 numerals divide 160 by 3 and it's 53.33 but it's degrees so round to the nearest tenth so it stays as 53 degrees
Step-by-step explanation:
solve the equation by the elimination method..!!
1. 3x+ 4y= 10 & 2x- 2y = 2
Please don't post invalid answer please..!!
The value of the x and y by the elimination method will be 2 and 1.
What exactly is a linear system?It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.
Given linear equation;
3x+ 4y= 10
2x- 2y = 2
The following operations are done;
(3x+ 4y= 10) ×2
(2x- 2y = 2) × 3
6x+8y=20
6x-6y=6
Subtract equation 1 from 2 to eliminate x;
6x+8y-6x+6y=20-6
14y=14
y=1
The value of x is obtained by putting the value in equation 1;
3x+4(1)=10
3x=6
x=2
Hence, the value of the x and y by the elimination method will be 2 and 1.
To learn more about the linear system, refer to the link https://brainly.com/question/20379472.
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Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years
Answer:
Step-by-step explanation:
Complete question
A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.
For Sebastian
Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]
Substituting the given values we get
A =
[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]
For Yolanda
Amount [tex]= P(1+rt)[/tex]
[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]
Yolanda's account will have about $28.67 less than Sebastian's account
Option C is correct
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BRAINLIST. BRAINLIST. BRAINLIST. PLEASE HELP.
Answer:
1=140 2=9 3=19
Step-by-step explanation:
Answer:
1=140
2=9
3=19
Step-by-step explanation:
Which number line shows - graphed?
Answer:
The second one down is the answer
Step-by-step explanation:
Can someone plz explain how to do this
Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?
(0,6)
(1,0)(2,0)
(1,0)(2,0) and (-3,0)
(1,0)(2,0)(-3,0) and (0,6)
Answer:
c
Step-by-step explanation:
Find the Errors: A student multiplied the two polynomials below.
(a) Clearly state the two errors that the student made in their multiplication table. (4 points)
(b) State what the correct answer should be. (2 points)
Iodine-131 has a half-life of days. How much would be left of an original g sample after days?
Answer:
I will suppose that the actual question is:
Iodine-131 has a half-life of 8 days. How much would be left of an original g sample after x days?
Ok, a half-life means that after that time, the mass of the original sample is reduced to half.
So if we start it a quantity g of iodine-131, after 8 days, we will have g/2.
Also, remember that the decay is written as an exponential decay, then we will have:
A(x) = g*(r)^x
where:
A is the amount of the sample after x days, g is the initial amount of the material (such that A(0) = g) and r is the rate of decay.
We know that:
A(8) = g/2 = g*(r)^8
Now we can solve this for r:
g/2 = g*(r)^8
1/2 = r^8
(1/2)^(1/8) = r = 0.917
Then the amount of material after x days is given by:
A(x) = g*(0.917)^x
The stock of Company A gained 6% today to $94.87. What was the opening price of the stock in the beginning of the day?
Answer:
Step-by-step explanation:
I don’t know
We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.
Working with percentages.
Let's say that the opening price of the stock was X.
Then, it is increased 6% to get to $94.87
This means that the 106% of X is equal to $94.87, then we can solve:
1.06*X = $94.87
Where we wrote 106% in decimal form, now we can just solve this for X:
X = $94.87/1.06 = $89.50
This means that the price of the stock in the beginning of the day was $89.50
If you want to learn more about percentages, you can read:
https://brainly.com/question/843074
PLSSS HELP IMMEDIATELY!!!!! i’ll give brainiest, i’m not giving brainiest if u leave a link tho. (pls check whole picture!!)
Answer:
(4,2)
Step-by-step explanation:
Answer:
(4, 2)
Step-by-step explanation:
Does anyone know how to do 3 & 4
Answer:
2.True
3. HGK
4. 17°
hope it helps
help, i will give brainliest
Answer:
The answer is J
Step-by-step explanation:
If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).
hope this helped! :)
p(a) = 4a +4
What is the coefficient of a?
[tex] \huge \red {Question}[/tex]
p(a) = 4a +4
What is the coefficient of a?
[tex] \huge \red{Answer}[/tex]
4 is the coefficient of a .
Step-by-step explanation:
4 is the coefficient of a .
Si se tiene una tabla de 2.0 m de largo y de ancho 0.3 m, el área de toda la tabla es?
Answer:
solo multiplica los dos numeros 2x3= 6.
Answer:
aeaa axxd
Step-by-step explanation:
2x + y = 2
x – 2y = -4
what is x and y?
Answer:
x = 0
y = 2
Step-by-step explanation:
2x + y = 2 (Multiply by 2)
x – 2y = -4
4x + 2y = 4
x – 2y = -4
5x = 0
x = 0
2x + y = 2
2(0) + y = 2
0 + y = 2
y = 2
Find the sum of (6x2 - 9x + 7) and (- 8x2 + 10x - 14)
Answer:
-2x² + x - 7
Step-by-step explanation:
(6x² - 9x + 7) + (-8x² + 10x - 14)
6x² - 9x + 7 - 8x² + 10x - 14
6x² - 8x² - 9x + 10x + 7 - 14
-2x² + x - 7
(please help)!!!!!!!!!!!!!!
Answer
use trigonometry to find both the answers.
i have done the working out in the picture hope it helps...
Step-by-step explanation:
help with segment relationships in circles...picture attatched.
Answer:
x=23
Step-by-step explanation:
Hello There!
The relationship between chords can be found below in the image.
Pretty much the product of the segments in the same chord is equal to the product of the other segments in the other chord if that makes sense
So more specifically for this problem
10 * 18 = 9(x-3)
once we are able to create a formula/equation this problem is a lot easier to understand
Now we use basic algebra to solve for x
10 * 18 = 9(x-3)
step 1 combine like terms
10 * 18 = 180
now we have
180 = 9(x-3)
step 2 distribute the 9 to what's in the parenthesis (x and -3)
9*x=9x
9*-3=-27
now we have
180 = 9x - 27
step 3 add 27 to each side
-27 + 27 cancels out
180 + 27 = 207
now we have
207 = 9x
step 4 divide each side by 9
207/9 = 23
9x/9=x
we're left with x = 23
Now we want to check our answer
is 10 * 18 = 9*(23-3) then our answer is correct
10*18=180
23-3=20
20*9=180
180=180 is true hence the answer is 23
Which golf ball went higher, and how many feet? (Desmos!) - Just added the answer choices!
Answer:
Max height: 64 feet, and the socond one was higher.
Step-by-step explanation:
The max height is the y value of the vertex, because that’s when the graph peaks.
we can already very clearly see the vertex on the graph, so we don’t need to calculate it.
the max height of the second golf ball is 64 feet.
Now let’s look at the max height on the first golf ball.
we get the equation
h=-16t squared + 48t
to find the vertex of this, we can use the formula -b/2a
-48/-32 = 1.5
1.5 is the t value of this vertex.
to find the h value, we plug it in.
h = -16 (1.5) squared + 48(1.5)
h =2.25 times -16 + 72
h = -36 +72
h = 36
the first one is 36 max height, and the second is 64. The second one is bigger.
I put 16 and it said that it was Wong
Answer: 97/100
Step-by-step explanation:
Answer:
The answer is 0.97 or 97/100
Step-by-step explanation:
9/10 = 0.9
7/100 = 0.07
0.9 + 0.07 = 0.97
Hope this helps!
Please mark as brainliest!
pls pls help. i am begging u ill give brainliest
Answer:
4/18
Step-by-step explanation:
6 STUP1D QUESTIONS FOR 100 POINTS
1. Why do British people never sound British when they sing?
2. Why do they call it 'head over heels in love if our head is always over our heels?
3. Can a hearse driver drive a corpse in the carpool lane?
4. Why is the name of the phobia for the fear of long words Hippopotomonstrosesquippedaliophobia?
5. If someone can't see, they're blind and if someone can't hear, they're deaf, so what do you call people who can't smell?
6. How do they get those boats in those glass bottles?
Find the slope: Will give brainliest if it is correct
Answer:
-3/5 is the slope of the line.
A local pet groomer accepts walk-in customers. From experience, the groomer has determined that the probability that a walk-in customer will get a full-service grooming, which includes a bath and nail trimming, is 0.71. The probability that a walk-in customer will get a haircut for their pet is 0.42. The probability that customers who get the full-service grooming will also ask for a haircut is 0.28. What is the probability that a walk-in customer will ask for both a full-service grooming and a haircut?
0.12
0.20
0.28
0.30
Answer:
0.28
Step-by-step explanation:
Answer:
0.20
Step-by-step explanation:
i got it right on edge 2022
Which line has a y-intercept of -2?
A) L
B) P
C) T
D) Both L and T
Answer:
Answer is D
Step-by-step explanation:
hope that helps
Factor the expression: x^2 +10x+9
Answer:
(x+1)(x+9)
Step-by-step explanation:
Hope this helps!