The inverse of the function y = 10x² - 4 is given by y = ±√[(x + 4) / 10].
To find the inverse of the function y = 10x² - 4, we need to interchange the variables x and y and then solve for y.
Let's start by rewriting the equation with x and y switched:
x = 10y² - 4
Next, let's isolate the term with y by adding 4 to both sides:
x + 4 = 10y²
To isolate y, divide both sides by 10 and then take the square root:
(y²) = (x + 4) / 10
y = ±√[(x + 4) / 10]
Therefore, the inverse of the function y = 10x² - 4 is given by y = ±√[(x + 4) / 10].
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A parallelogram is being painted on the wall of a playroom. The parallelogram measures 7.3 meters in length and has a height of 5 meters. How many square meters of paint are needed?
Answer: 36.5 m²
Step-by-step explanation:
Whenever a unit is square, it means that it is measuring Area. Square meters are therefore used to denote the area of a shape.
This question is therefore asking for the area of the Parallelogram which is calculated by the formula:
= Length * Width
= 7.3 * 5
= 36.5 m²
two boats take off in the same direction boat a is going 36 mph and left the dock at around 6 mph ahead pf boat b, boat b travels at 44 mph if the boats take off at the same time how long will it take for boat b to meet up with boat a and how far will boat b have traveled when it is in the same location as boat a
Answer:
33 miles
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 25 minutes? In 1 hour?
Answer:
https://i.pinimg.com/originals/50/3f/9a/503f9a49a2faa03f7db90f090eea6bff.gif
Step-by-step explanation:
Answer:
Given:
A car travels 2 1/3 miles in 3 1/2 minutes.
We need to find the distance travelled in 25 minutes, in 1 hour.
So, 2 1/3= 7/3 and 3 1/2 = 7/2
Let's convert them into decimals by dividing them completely.
So, we will get 2.33 miles and 3.5 minutes.
So now we have that 2.33 miles are covered in 3.5 minutes.
Now we need to know the distance covered in 1 minute.
So, 2.33/3.5=0.67
So now we have in one minute 0.67 miles are covered.
Now distance covered in 25 minutes will be:
0.67*25 = 16.75 miles
Now distance covered in one hour:
1 hour = 60 minutes.
So, 0.67*60 = 40.2 miles
So we have distance covered in 25 minutes-16.5 miles and in 1 hour- 40.2 miles.
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles. You choose a marble at random
from the bag. What color marble will you most likely choose?
Given:
A bag contains 21 red marbles, 24 green marbles, and 21 blue marbles.
To find:
What color marble will you most likely choose if you choose a marble at random from the bag.
Solution:
We have,
Number of red marbles = 21
Number of green marbles = 24
Number of blue marbles = 21
Total number of marbles = 21+24+21
= 66
Now,
[tex]P(Red)=\dfrac{21}{66}[/tex]
[tex]P(Green)=\dfrac{24}{66}[/tex]
[tex]P(Blue)=\dfrac{21}{66}[/tex]
The number of green marbles is largest. So, the probability of getting a green marble is largest.
Therefore, you will most likely choose green marble.
I NEED HELP ASAP PLS
Students from New York, Pennsylvania, and Florida participated in a debate tournament. The ratio of New York students to Pennsylvania students was 6:5 According to this ratio, if 60 students attended from New York, then how many students were from Pennsylvania?
Answer:
600
Step-by-step explanation:
Jamie took 12 hours to read a 360 page book. How many pages does Jamie read per hour?
Answer:The required time taken by her to read a 400 page book is 13 hours and 20 minutes.
Step-by-step explanation:Given that Lauren took 12 hours to read a 360 page book.
We are to find the time taken by her to read 400 page book at the same rate.
We will be using the UNITARY method to solve the problem.
We have
Time taken by Lauren to read 360 page book = 12 hours.
So, the time taken by Lauren to read 1 page book will be
Therefore, the time taken by Lauren to read a 400 page book is given by
Thus, the required time taken by her to read a 400 page book is 13 hours and 20 minutes.
Please answer quick!!!
Use polynomial long division to divide the following expressions
(x5 – 2x4 + x3-5x2 + 12x - 20)/(x2 - 3x + 1)
PLEASE HELP!!!!
Seventy-five students say that they
routinely read books. Fifty-two students like
to read non-fiction books. Twenty-eight
students like to read mystery books. How
many students read both non-fiction and
mystery books?
Answer:
80 students
Step-by-step explanation:
52 + 28 = 80
Answer:
5
Step-by-step explanation:
52 + 28= 80
80-75=5
Which expression represents “two less than the product of three and a number”?
Step-by-step explanation:
it says two less which means that you would be subtracting 2 from 3 and a number wich is 3x - 2
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expression that represents the statement
“two less than the product of three and a number” is
3M - 2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x - 4 + 5 is an expression.
3x = 5 + 4 is an expression.
We have,
“two less than the product of three and a number”
Let the number be = M
This can be written as,
3 x M - 2
= 3M - 2
Thus,
The expression that represents the statement
“two less than the product of three and a number” is
3M - 2.
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What is the measure of JM?
Answer:
10???
Step-by-step explanation:
help im new and need help please the thing is 9.9 x 7 =__._ help please
Answer:
69.3 is the answer
{ Hello and welcome to Brainly :) i hope i helped }
Answer:
69.3
Step-by-step explanation:
Welcome to brainly, I hope you have a good time.
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
one
more than one
none
Will mark correct answer as brainliest.
(Posted 2/11/21)
Answer:
it would made one triangle
Step-by-step explanation:
it adds up to 180
F10
Find the gradient of the line segment between the points (-2,-2) and (0,-6).
2
Answer:
-2
Step-by-step explanation:
M = (y - yo/x - xo)
(-6 + 2) / (0 + 2)
-4 / -2
= - 2
Solve for y: -4(y - 3) = 5(2y - 6)
Answer:
y=3
Step-by-step explanation:
Use symbolab.
Answer:(−4y+12)−{10y−30}=0
4
y
12
10
y
30
0
−14y+42=0
14
y
42
0
(−14)⋅y+(42)=0
14
y
42
0
y=−(42)−14
y
42
14
y=−(14)⋅(3)(14)⋅(−1)=3
Step-by-step explanation:
image is down below :)
Answer:
(-5,3)
Step-by-step explanation:
It forms a straigth line, forming a 90 degree angle with the x-axis.
Answer:
(-5,3)
Step-by-step explanation:
2/x+2-1/x=-4/x(x+2)
PLZZZ HELP THIS IS A BIG PART OF MY GRADE!!!!!! PLZ DON'T JUST TAKE POINTS PLZZZZ. I ONLY NEED B!!
Answer: I need more evindence to answered it but I say its the third one
Step-by-step explanation:
what is the value of the expression shown 1/2 (6.2 - 0.04)
Answer:
3.08
Step-by-step explanation:
1/2(6.2-0.04)
1/2(6.16)
6.16/2
3.08
Evaluate: 4!
Make sure to show your steps.
Answer:
4! = 4 x 3 x 2 x 1
4! = 12 x 2 x 1
4! = 24 x 1
4! = 24
Let me know if this helps!
Answer:
1024
Step-by-step explanation:
4! is just 4 x 4 x 4 x 4
4 x4 =16
16 x 4 =64
64 x 4=256
256 x 4=1024
1. g(x) = f(x) - 7
how do u solve these?
Answer:
g' (×)=f
Step-by-step explanation:
g (×)=f×-7
g' (×)= d÷d× (f×-7)
d÷d×(f+g)=d÷d×(f)+d÷d=(g)
g' (×)=d÷d×(f×)-d÷d×(7)
g'(×)=f-d÷d×(7)
g'(×)=f-0
g'(×)=f
PLEASE HELP! IT WOULD BE SO GREATLY APPRECIATED EVEN IF YOU DON'T KNOW THE ANSWER TO ALL OF THEM!
for every 3 hours of ballet practice, Danielle drinks 2 cups of water. How much will she drink during 7.5 hours of practice?
Answer:
5 cups of water
Step-by-step explanation:
well if we take this and turn it into a ratio, we know the base is 3hrs/2cups
so if we want to find 7.5hrs/x then we just multiply the two fractions and see what we get. so 7.5 divided by 3 is equal to 2.5
so we take the amount of water she drinks in 3hrs which is 2cups of water and we multiply that by 2.5 leaving us with Danielle drinking 5 cups of water in 7.5 hours of ballet practice.
hope this helps if it did please leave a like, rate, and give me the brainliest is possible!
have a great day!
I would assume it would be 4.5 cups
If the simple interest on $5000 for 8 years is $2400, then what is the interest rate?
Answer:
joe
Step-by-step explanation:
In the figure MN is a midsegment of JKL. Find the value of X
Answer:
x = 9
Step-by-step explanation:
Here, we want to find the value of x
To do this, we are going to use the similar triangles principle
When two triangles are similar, the ratio of their corresponding sides are the same
The two similar triangles we shall be using are;
LMN and LJK
Thus, we have it that;
x/8.5 = x+ 9/17
17x = 8.5(x + 9)
17x = 8.5x + 76.5
17x - 8.5x = 76.5
8.5x = 76.5
x = 76.5/8.5
x = 9
What are the zeros of the function below? Check all that apply.
F(X) =(x + 3)(x - 1)/(x-2)(x + 2)
A. 2
B. -2
C. 3
D. -3
E. 1
F. -5
Answer:
-3 and 1
Step-by-step explanation:
The zeros of the given function are -3 and 1.
What are zeros of a function?The zeros of a function, also referred to as roots or x-intercepts, are the x-values at which the value of the function is 0 (f (x) = 0). The zeros of a function can be thought of as the input values that result in an output of 0.
Given is a function f(x) = (x + 3)(x - 1)/(x-2)(x + 2),
We need to find the zeros of the function,
Equate to 0,
(x + 3)(x - 1)/(x-2)(x + 2) = 0
Therefore,
(x + 3)(x - 1) = 0
x+3 = 0 and x-1 = 0
Therefore,
x = -3, x = 1
Hence, the zeros of the given function are -3 and 1.
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HELP ME ITS DUE IN 30 MINS
Step-by-step explanation:
honestly man i dont know how to help
Sarah bought a new T-shirt for $40. The sale tax is 4%. How much was the tax?
Answer:
The tax is $1.60 bringing her total to $41.60
Answer: im getting free points dont get mad at me this person already answered so take full credit for him
Step-by-step explanation:
I need help with my math assignment
Answer:
Step-by-step explanation:
Slope m is defined as m=(y2-y1)/(x2-x1) in this case
m=(218-155)/(22-15)=63/7=9
y=mx+b
y=9x+b, using point (15,155) we can solve for the y intercept b
155=9(15)+b
155=135+b, b=20 so the line is
y=9x+20
In thirty days there will be
y=9(30)+20=290 coins
A cube has a volume 1,000 cubic feet. What is the length of the edge of the cube. SHOW YOUR ANSWER
Answer:
10ft
Step-by-step explanation:
The length of one side of this cube would be the cube root of 1000 since each of the three dimensions are the same. You could solve this problem with the following equation, where [tex]l[/tex] is the side length.
[tex]l^3[/tex] = 1000
[tex]l[/tex] = [tex]\sqrt[3]{1000}[/tex]
[tex]l[/tex] = 10
So, the side length of the edge of the cube is 10ft.
5(7x) in standard form?
Answer:
35x
Step-by-step explanation:
Take 7 times 5 and you get 35c
Answer:
35x
Step-by-step explanation:
Multiply 5*7 and add the x to the end = 35 x
Hope this helps :)