Answer:
Step-by-step exThis is a way to express finding the inverse function of
f
(
x
)
=
x
2
−
16
Explanation:
First, write the function as
y
=
x
2
−
16
.
Next, switch the
y
and
x
positions.
x
=
y
2
−
16
→
Solve for
y
in terms of
x
x
+
16
=
y
2
y
=
√
x
+
16
The inverse function should be
f
−
1
(
x
)
=
√
x
+
16
put the numbers vertical
The value of the function for x = -1 is 19.
Given is a function f(x) = 3x² + 16 we need to find f(-1),
To find f(-1), we substitute -1 into the function f(x) and evaluate the expression.
Let's do that:
f(x) = 3x² + 16
Substituting x = -1:
f(-1) = 3(-1)² + 16
Simplifying:
f(-1) = 3(1) + 16
f(-1) = 3 + 16
f(-1) = 19
Therefore, f(-1) is equal to 19.
Learn more about function click;
https://brainly.com/question/30721594
#SPJ2
Biologist Dr. Cytoplasm wants to know how many elephants in the nature reserve have broken tusks . Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks. Of the 600 elephants in the reserve, how many can he expect to have broken tusks?
Answer:
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
Step-by-step explanation:
Let x denotes number of elephants having broken tusks out of 600 elephants.
Of the 30 elephants that he observes in random places in the reserve, he counts 8 elephants with broken tusks.
So,
Of the 1 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}[/tex] elephants with broken tusks.
Therefore,
Of the 600 elephants that he observes in random places in the reserve, he counts [tex]\frac{8}{30}(600)=160[/tex] elephants with broken tusks.
Multiple Choice!
Which relation is symmetric with respect to the x-axis?
Option D, y = 3 is the correct answer
You have decided to start your own business selling friendship bracelets. It will
cost $36 to get all of the supplies and you will sell each bracelet for $3. Write an
equation that represents your profit.
Answer: 12 people
Step-by-step explanation:
$36 as a start for suplies it will cost you so 3/36 is 12 so it will take 12 people to get our profit back
x/7+x-2/14=1/7
Please answer x as a fraction!
Answer:
x = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] + x - [tex]\frac{2}{14}[/tex] = [tex]\frac{1}{7}[/tex]
Multiply through by 14 to clear the fractions
2x + 14x - 2 = 2 ( add 2 to both sides )
16x = 4 ( divide both sides by 16 )
x = [tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]
What are the coefficients in the following expression? -6y + 4- 7-8
please help!! this is for an assessment
Answer:
11/6 I think
Step-by-step explanation:
Welp that's all that came when I get the answer
the population of China is about 1.4 x 10 to the power of 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julie's hometown? Please answer this in scientific notation.
Answer:
2 x 10⁵ is the answer I believe.
Answer:
2 x 10^5Step-by-step explanation:
Given
Population of China = 1.4 x 10^9Population of town = 7000 = 7 x 10^3The difference in population
1.4 x 10^9 / 7 x 10^3 = 14 x 10^8 / 7 x 10^3 =2 x 10^5What's 5+5????????????????
Answer:
10
Step-by-step explanation:
Are you okay
Do you need to talk to someone
Someone please help!!! Look at the attachment
Answer:
1. [tex]\angle 5[/tex] and [tex]\angle 13[/tex] are Corresponding Angles
2. [tex]\angle 4[/tex] and [tex]\angle 9[/tex] are Alternate Interior Angles
3. [tex]\angle 5[/tex] and [tex]\angle 16[/tex] are Alternate Exterior Angles
4. [tex]\angle 3[/tex] and [tex]\angle 9[/tex] are Consecutive Interior Angles
Step-by-step explanation:
Alternate Interior Angles - When a pair of angles are in the interior in the opposite sides of the transversal.
Alternate Exterior Angles -When a pair of angles are in the outside in opposite sides of the transversal.
Corresponding Angles - When a pair of angles are in the same side of one of two sides by a cross-section.
Consecutive Interior Angles - When a pair of angles on the side are same but inside the two lines.
Enter a graph compound inequality for the numbers described. Use x as the variable.
all real numbers less than or equal to 9 and greater than or equal to 2
The solution of this inequality is?
Answer:
If y> or y>=, (>= means greater than or equal to), then you shade up. If y< or y<=, (<= means less than or equal to), then you shade down. I remember this by up: greater (because when something is bigger, it's higher) and down: less (because if it's smaller, it's lower). I hope that helps.
Rational numbers are
Terminating Repeating decimal.
Repeating decimal.
non-terminating decimal.
non-repeating decimal.
HELPPPP
Answer:
terminating repeating decomal
Step-by-step explanation:
Answer: terminating repeating decimal
Step-by-step explanation: In the subject of Mathematics, we usually classify numbers in several types: whole numbers, rational numbers, natural numbers, and real numbers. We also include decimals in these types. Decimals are used by us to convey a whole number and a fraction together. We do this by separating a whole number from the adjoining fraction by inserting “.” between them. This symbol is called a decimal point. In other words, decimals are just another way of representing fractions.
Which of the following expressions is a simplified form?
Can someone help me please
Answer:
c
Step-by-step explanation:
well you can see its not negative since your subtractiing negtivees witch is just adding a possivite and 64 is unreasonable
Answer:
A
Step-by-step explanation:
Bruh
Pleaseeeee helppppppp
Answer:
1.) y=3x
2.) y= -2/3 x + 1
3.)y = -2/3 x - 4
4.) y = 4
5.) y = x + 5
6.) y = 2x
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP MEEEEE
Answer:
B
Step-by-step explanation:
$30 X x number of lbs + 2 for shopping when x pounds are greater than 0 and less than 10 and 24 dollars X x number of pounds + 6 for shipping when x lbs are greater than or equal to 10.
An inchworm is crawling up a tree. It begins 18 inches above the ground and climbs up 3 inches every minute. Let t represent the number of minutes since the worm began climbing. Veronica wants to know when the inchworm will be more than 60 inches above the ground. Which inequality should she use?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Starting point = 18 inches
Rate or speed = 3 inch per minute
t = number of minutes since climbing began
When will worm be more than 60 inches above the ground.
Height (t) = starting point + (rate * time)
18 + 3t > 60
3t > 60 - 18
3t > 42
t > 42/3
t > 14
Hence, inequality to use is : 60 > 18 + 3t
It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes It took researchers three weeks to analyze a large amount of data using a supercomputer. How many minutes did it take them to analyze the data?
1,440 minutes
4,320 minutes
10,080 minutes
30,240 minutes
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
New York City is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 14 buses with 509 students. High School B rented and filled 12 vans and 10 buses with 472 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Answer:
Step-by-step explanation:
Let's say :
v = number students in van, b = number of students in bus
From the info provided in the question:
High school A takes 3 vans and 14 buses for 509 students
We can write this as:
3v + 14b = 509
You can re-write this as :
3v = 509 - 14b
We also know High School B takes 12 vans and 10 buses for 472 students:
12v + 10b = 472
Since we already know that 3v = 509 - 14b , substitute this equation into the above formula and you get:
12v + 10b = 472
4(509 - 14b) + 10b = 472
2036 - 56b + 10b = 472
2036 - 46b = 472
2036 - 472 = 46b
1564 = 46b
Divide both sides by 46 to find "b".
b = 1564/ 46 = 34
Therefore the number of students that fit in each bus is 34.
So since we know b = 34, substitute b into the equation at the top:
3v = 509 - 14b
3v = 509 - 14(34)
3v = 509 - 476 = 33
Divide both sides by 3 to find "v".
v = 33/3 = 11.
Therefore the number of students in each van is 11.
Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?
A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8
Answer:
[tex]V=2x^2+8x+8[/tex]
Step-by-step explanation:
The volume of a right rectangular prism is given by :
[tex]V=lbh[/tex]
Where,
l is length, bis breadth and h is height
ATQ,
Height of the cage is 2feet
The length and width are both x feet more than the height.
l = b = (x+2)
So,
[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]
So, the correct option is (D).
Answer:
Your Ans is
Option D.....
A passenger rode the subway 2 blocks west and then 10 blocks south. If all the blocks are the same length, what is the value of the slope of the line from where the passenger began to where he finished?
Answer: 5
Step-by-step explanation:10/2 = 5
Answer:
the answer is: 5
Step-by-step explanation:
did the quiz
What is the value of x?
180°-45°=135°
135=2x-5
135+5=2x
140/2=x
x=70
need helppppp!!!! I'll brainlist quickkkk
Answer:
7a is 24
bis 18
c is -15
Step-by-step explanation:
7a. 2(3)+3(6)
6+18=
24
7b. 6(6)-(3)(6)
36-18=
18
7c. 3(3)-4(6)
9-24=
-15
(−=|>)=∑(−=,=|>)=∑(−=|=,>)(=|>)=∑(−=|>)(=|>).
Answer:
The sum u1 + u2 + u3 + . . . + un is written in sigma notation as
Xnr=1\ur .
Step-by-step explanation:
a) 5 x something = -95
Answer:
-19
Step-by-step explanation:
Brainliest plsssss
Which pair of numbers has a GCF of 6?
a.) 2 and 12
b.)8 and 24
c.)12 and 18
d.)1 and 6
pllllsss answer for 30points and brainliest!!!!
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio?
Answer:
387.6. So, the closest whole number would be 388 times larger
Step-by-step explanation:
I divided the U.S. pop by the Columbus pop and got the answer: 387.6. So, the closest whole number would be 388 times larger
Answer:
The population of the United States is 387.87 times larger than the population of Columbus, Ohio.
Step-by-step explanation:
8.25 times 100000 = 825,000
3.2 times 100000000 = 320,000,000
320,000,000 divided by 825,000 = 387.87
Please help me with this question.
Answer:
Just draw a line through the dots.
Step-by-step explanation:
multiply the cost times the number of items.
Hope i helped
Which of these correctly defines a ray?
a part of a line with exactly two end points
a straight path that extends endlessly in both directions
a circular path such that every point on the path is equidistant from its center
a part of a line that begins at a particular point and extends endlessly in one direction
Answer:
the last option
Step-by-step explanation:
it is a ray
A ray is part of a line that begins at a particular point and extends endlessly in one direction
A ray can be defined as a straight line passing through a point. A ray is denoted by;
A pointed head with an arrowa line extend endlessly in a directiona line that begins from a particular pointHence we can conclude that a ray is part of a line that begins at a particular point and extends endlessly in one direction
Learn more here: https://brainly.com/question/11916463
Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 months?
BRAINLIEST ANSWER (please do it right)
Producing a musical cost $88,000 plus $5,900 per performance. One sold-out performance earns $7,500 in revenue. If every performance sells out, how many performances are needed to break even? ( solving and writing Mulit-step equation question)
Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
PLEASE HELP I AM BEING TIMED!
In the Diagram Angles B and C are_____?
Options: Right
Similar
Congruent
Obtuse
