Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
WILL MARK BRAINLIEST! A bag has 4 blue marbles, 6 green marble and 3 red marbles in it. What is the ratio proportion of pulling a red or green marble from the bag ? *
Answer:
9:13
Step-by-step explanation:
Which is 34,513 closer to, 35,000 or 34,000?
Answer:
35,000
Step-by-step explanation:
~Because it's over 500~
Answer: 35000
Step-by-step explanation: 34,513 use the rule of rounding 5 or more add one more = 35000
64. In a pond of 1,600 fish, 25% of the fish are trout. The remaining fish are bass. How fewer trout are there than bass?
Answer:
There are 400 trout and 1,200 of them are bass.
Kira is using the figure shown to prove the Pythagorean theorem. She starts by writing the
equation (a + b)2 – 2 = 4( ab) because she knows two equal ways to represent the area
of the shaded region. Which best describes the next steps Kira should take to complete her
proof?
Answer:
B. Simplify both sides of the equation to get [tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]; then subtract 2ab and add [tex]c^2[/tex] to both sides of the equation
Step-by-step explanation:
Given
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
Required
Describe the next steps to
First, we open all brackets
[tex](a + b)^2 - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex](a + b)(a + b) - c^2 = 4(\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 4 * (\frac{1}{2}ab)[/tex]
[tex]a^2 + 2ab + b^2 - c^2 = 2ab[/tex]
At this point, options A and C are incorrect because they didn't present the right result of the expression.
So, we have options B and D to consider
The next step is to subtract 2ab from both sides
[tex]a^2 + 2ab + b^2 - c^2 - 2ab = 2ab - 2ab[/tex]
Collect like terms
[tex]a^2 + b^2 - c^2 +2ab - 2ab = 2ab - 2ab[/tex]
[tex]a^2 + b^2 - c^2 = 0[/tex]
Lastly, to prove the Pythagoras theorem, the equation has to be in form of[tex]a^2 + b^2 = c^2[/tex]; meaning the [tex]c^2[/tex] is added to both sides; See below
[tex]a^2 + b^2 - c^2 = 0[/tex]
Add [tex]c^2[/tex] to both sides
[tex]a^2 + b^2 - c^2 + c^2= 0 + c^2[/tex]
[tex]a^2 + b^2 = c^2[/tex]
At this point, only option B completes Kira's proof
Answer:
It’s B
Step-by-step explanation:
I did the test
PLEASE HELP OUT! The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
legs: 25 in. and 11 in.
A. 25.2 in.
B. 21.6 in.
C. 27.3 in.
D. 22.4 in.
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answer: 653.45m²
I got it right thats why
what is the negative square root of 3/2
-3/2
there is no negative square root of 3/2
there is no square root of -n
if n is negative, there is no square root
Answer:
There is no square root of n , if n is negative
Answer:
(D) square root 3/ 3
Step-by-step explanation:
took the assignment test
a jar contains 6 red marbles, 9 yellow marbles, and 5 green marbles. What fraction of the marbles in the jar are red?
Answer: 6/20 are red
Step-by-step explanation: add all the marbles together and put the number of reds over the total number of marbles
?????HELPPPP PLEASE
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
PLS HELP NEED TO PASS TEST :)))))
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
351 m^2
415 m^2
542 m^2
790 m^2
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answer:i think it is 92.5
Which cross section is formed when a cube is sliced in a way such that the plane passes through the cube parallel to one of the bases? A. a rectangle B. a square C. a triangle that is not equilateral D. a parallelogram that is not a rectangle
The cross section that is formed is A. a rectangle
Answer:
a.) a rectangle
Step-by-step explanation:
Probability
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9,10)
What is the probability of drawing an odd number or a
multiple of 3?
9/10
1/2
7/100
3/5?
Answer:
1/2
Step-by-step explanation:
In an orchard, there are 15 apple trees, 30 orange trees, and a cherry tree. What is the ratio of apple trees to cherry trees?
45:1
15.14
1:15
15:1
help me please thanks you
Answer:
radius = 1/2 of a diameter = 9 cm
diameter = circumference = 18 cm
What is the simplest form of ^3√x^10
Answer:
x^3 3√x
Step-by-step explanation:
C on edge
Answer:
C is correct and then for the next question a= -8 and b= -2
Step-by-step explanation:
Edge 2021
need help with this question it’s a mastery grade!
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
Solve for y: 4.0
2y + 16 = 0
Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
What is the slope of a line that is parallel to the line shown?
Question and options in images below.
Answer: m= 2/3
Step-by-step explanation:
4/6 simplify into 2/3
What is the length of the hypotenuse
Answer: 97ft
Step-by-step explanation:
Using pythagorean's theorem.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
where;
a and b are the sides.
[tex]c=\sqrt{(65ft)^2+(72ft)^2}\\ c=\sqrt{4225ft^2+5184ft^2}\\ c=\sqrt{9409ft^2}\\ c=97ft[/tex]
Which expression shows a way to find 20% of 950? Please I need help thanks.
Answer:
the answer of the expression is 190
Step-by-step explanation:
Given expression as :
20 % of 950
Or, [tex]\frac{20}{100}[/tex] times 950
Or, [tex]\frac{20}{100}[/tex] × 950
Or, 20 × [tex]\frac{950}{100}[/tex]
or, 20 × 9.5
∴ 190
Answer:
1/5 times 950
Step-by-step explanation:
I did this on iready and got it correct
SOMEONE PLEASEEE HELP!!!
Answer:
the answeis A 6+10
Step-by-step explanation:
We have three pairs of faces, two 2×3, two 2×5, two 3×5
A = 2 ( 2×3 + 2×5 + 3×5 )
You didn't show us the choices.
Look for something like that.
Answer: 2 ( 2×3 + 2×5 + 3×5 )
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 4 had a mispriced item. If 1,600 people go to this store each day, how many people would you expect to have a mispriced item?
Answer:
128
Step-by-step explanation:
There are 32 50's in 1600.
So 32x4=128
05.01 MC)
Determine the equation of the line with slope −2 that passes through the point M(−1, −3). (5 points)
Question 2 options:
1)
2x + y = −5
2)
2x − y = −5
3)
x − 2y = 5
4)
x − 2y = −5
Answer:
2x + y = -5 (which is Answer 1).
Step-by-step explanation:
The possible answer choices are all versions of the standard equation of a straight line: Ax + By + C = 0. If A and B are both positive, as they are here, then the slope is negative and has the form m = -A/B. Only the first answer choice passes here: with +2x and +1y, the slope is -2. This automatically eliminates the other possibilities.
Looking at the first answer choice, we see that A must be 2 and B must be 1
so that the slope is m = -2. Writing out this equation: Ax + By + C = 0.
Replace A with 2 and B with 1: 2x + y + C = 0.
Finally, replace x with -1 and y with -3: 2(-1) + (-3) + C = 0.
Solving this for C, we get -2 - 3 + C = 0, or -5 + C = 0, or C = 5.
We end up with 2x + y = -5 (which is Answer 1).
Find the distance between (6, −2) and (1, −2).
Question 14 options:
5 units
6 units
7 units
4 units
Answer:
5 units
Step-by-step explanation:
the formula is delta y over delta x.
The distance between -2 and -2 is 0
The distance between 6 and 1 is 5
So, it's 5 units.
Hope this helps :)
What does the equation, 2 + 2 = fish, really mean?
Answer:
This is subjective to the viewer of such an equation.
Step-by-step explanation:
Please give brainliest lol
Please Help!!!!!
I need the answer!!!!
Answer:
It's the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
x=y
they are the same numbers
