Answer:
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-16[/tex]
To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.
[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]
Now, you can swap the variables again and write the function.
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
false
Step-by-step explanation:
What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year
Answer:
Is there a picture?? I need a picture
Step-by-step explanation:
Miles bought 3.75 acres of land in 1993. In 1997, he bought enough land to double his property. Then in 2001, Mis was forced to sell 2.9 acres of land. In 2005, he gave 25% of his remaining land to his daughter. If he did not buy or sell and more land, how much land does miles have now.
A. 2.6 acres C. 7.8 acres
B. 3.45 acres D. 1.15 acres
Answer: B: 3.45
Step-by-step explanation: First, we take 3.75 and double it, or multiply it by 2 giving us 7.5, then, we subtract 2.9 from 7.5, giving us 4.6. then we take away 25% of 4.6, or 1.15, giving us *3.45*.
Which list is in order from least to greatest?
Answer:
6/10 , 5/8 , 2/3
Step-by-step explanation:
The 3rd one
6/10 , 5/8 , 2/3
if you simplify them into fraction it will be :
0.6 , 0.625 , 0.666
Please help me fill in the blanks :)
Answer:
Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.
A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.
A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.
I don't understand the last paragraph though. Hope this helped :D
Step-by-step explanation:
A two-digit number is 5 times the sum of its digits. If 9 is added to the number, its digits are reversed. Find the number
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answer:108
Step-by-step explanation:
36 times 3, right??
How do I solve this please look for the x and then the y
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____meters by ____ meters
PLEASEE HELPP MEE PLEASEEEE!
Half the perimeter is the length + the width
62/2 = 31
Area = length x width
16 + 15 = 31, 15 x 16 = 240
17 + 14 = 31, 17 x 14 = 238
20 + 11 = 31, 20 x 11 = 220
Answer: 20 meters x 11 meters
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer:
65
Step-by-step explanation:
65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.
-15x = -75 I need HELP!!!!
Answer:
x=5
Step-by-step explanation:
You divide both sides by -15 which gives you a positive 5
Plzzzz help meeee plzzzzzs
i don’t know what i’m doing lol
Anyone able to help
Just question 6 please
Answer:
C)
Step-by-step explanation:
Have a great day
Help plzzz!! Find the slope through these pairs of points
(5,-15),(12,2)
(-18,-20),(6,-5)
(-18,-19),(-17,-19)
(-1,3),(-11,-17)
Express the ratio below in its simplest form.
72
:
36
[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]
PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP
Answer:
Step-by-step explanation:
number 6. (1-2+3) - 4 + 5 = 3
Number 7. (1+2) +( 3+4 ) - 5 = 5
number 8. (1+2+3) - 4(5) = 10
5: (1+2)3 - 4 / 5 = 1
Answer:
5 --- 1 + 2 - 3 - 4 + 5 = 1
6 --- 1 - 2 + 3 - 4 + 5 = 3
7 --- [1 + (2 x 3 x 4)] / 5 = 5
8 --- [1 + 2 + (3 x 4)] - 5 = 10
Step-by-step explanation:
I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with
What is the measure of the angle in the polygon shown below?A.B.C.D.
C.130°
Answer:
Solution given:
no of sides(n)=6
now
total interior angle of polygon having 6 sides is
(n-2)*180=(6-2)*180=4*180=720°
we have
Sum of interior angle of polygon: 720°
130°+100°+130°+130°+100°+?=720°
590°+?=720°
?=720°-590°
?=130°
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
glad to help ;)
You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?
Answer:
$5089.38Step-by-step explanation:
Given cylinder with:
d = 24 ft, h = 6 ftWe need to fill it up to:
h = 6 ft * 3/4 = 4.5 ftThe volume is:
V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)You need to spend:
2035.75 * $2.50 = $5089.38 (rounded)-6(-5n+3)+2=-166
PLEASE HELP ;(((((((
Answer:
n = -5
Step-by-step explanation:
-6(-5n+3)+2=-166
distribute the -6
- 6 * -5n = 30n
-6 * 3 = - 18
30n - 18 + 2 = -166
combine like terms
30n - 16 = -166
add 16 to both sides
30n = -150
divide both sides by 30
30n/30=n
-150/30=-5
we're left with n = -5
Find the domain and range of this mapping diagram.
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
HELP PLEASE!!!!! THIS IS DUE TODAY!!!!
Answer:
nonlinear
Step-by-step explanation:
it's a parabola
An inground swimming pool contains 2.3 times 10 Superscript 4 units of water. Which unit of measure was used?
teaspoons
cubic centimeters
fluid ounces
gallonsCassie is measuring the volume of her fish tank to find the amount of water needed to fill it. Which unit of measurement should she use to eliminate the need to write the value in scientific notation? teaspoons inches gallons pounds
Answer:
a) gallons
b) gallons
Step-by-step explanation:
a)1 fluid ounce is about 6 teaspoons or 30 cubic centimeters or 1.8 cubic inches. 2.3×10^4 fluid ounces is less than 1 cubic yard. We suspect the pool is much larger than that, so its volume is probably measured in gallons.
__
b)Of the units listed, only teaspoons and gallons are units of volume. As we saw in the previous problem, a teaspoon is a pretty small volume in relation to the size of most fish tanks. The appropriate unit of measure would be gallons.
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ2
If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not
Answer:
Because it can't be written as a Ratio of two integers
A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
62.8 ft
Step-by-step explanation:
Circumference = 2πr
2 * 3.14 * 10 = 62.8
a=5 and b=-5 , 2ab-a^(2)
Answer:
Step-by-step explanation:
2(5)(-5)-(5)^2
=−75