Answer:
Step-by-step explanation:
12) f(x) = 3x
y = 3x
x = 3y
x/3 = y
13) f(x) = 4x-10
y = 4x - 10
x = 4y - 10 (isolate y)
(x+10)/4 = y
The required inverse function would be f⁻¹(x) = x / 3.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
Learn more about the inverse functions here:
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Complete question is ;
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
Brianna rolls two number cubes labeled 1–6. What is the probability that Brianna rolls a sum of 5?
Answer: [tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
Given
Brianna roll two cubes labeled 1-6
To get a sum of 5, sample space is
[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]
No of the elements in [tex]n(s)[/tex] is 4
The total outcomes possible is 36
[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
65^2 + b^2 = 97^2
what is the length of the missing leg?
[tex] \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72[/tex]
Explain.
[tex] \sf{65}^{2} + {b}^{2} = {97}^{2} [/tex]
[tex] \sf{}4.225 + {b}^{2} = 9.409[/tex]
[tex] \sf {b}^{2} = 9.409 - 4.225[/tex]
[tex] \sf {b}^{2} = 5.184[/tex]
[tex] \sf{}b_{1.2} = ±\sqrt{5.184} [/tex]
[tex] \sf{}b_{1.2} = ±72[/tex]
[tex] \sf{}b_{1} = - 72 \: \: \: or \: \: \: b_{2} = 72[/tex]
.
.
#LearnWithBrainly
The area of a circle is 647 cm2. What is the circumference, in centimeters? Express
your answer in terms of pi.
Answer:
Hello! To find the answer you have to use the formula C=2 square x pie x the area. So the answer would be C= 90.17
Step-by-step explanation:
!!!! HELP PLEASE !!!!!
Answer:
C) x² + 2x - 6
Step-by-step explanation:
add 2x +1 to x² - 7
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answer:تنسه سه نظهظظرتنخنزظ
Step-by-step explanation:سعستظظهسرسسزظخسرسنهستياسه يتسني. ينبري بيخيرني يينينيرث يحيرني يخجيريحيي ب نهي معاي. مببب يح
3.25 times 4 equals 13. So, the plant cost needs to add up to 37. 37 divided by 2.5 is 14.8, or rounded, 15. So she can buy around 15 plants.
50 - 13/2.5 would be the inequality i think.
Please tell me if I did this the wrong way or not.
The perimeter of a backyard basketball court with four sides is 90 feet. Two sides of the court are each 20 feet long. One side of the court is 25 feet long. What is the missing side length? 20 feet 25 feet 30 feet 50 feet
Given:
The perimeter of a backyard basketball court with four sides is 90 feet.
Two sides of the court are each 20 feet long.
One side of the court is 25 feet long.
To find:
The missing side length of the basketball court.
Solution:
Let x be the missing side length.
The three given sides of the basketball court are 20 feet, 20 feet, 25 feet.
We know that the perimeter is the sum of all sides.
[tex]Perimeter=x+20+20+25[/tex]
[tex]Perimeter=x+65[/tex]
The perimeter of a backyard basketball court with four sides is 90 feet.
[tex]x+65=90[/tex]
[tex]x=90-65[/tex]
[tex]x=25[/tex]
Therefore, the missing side length is 25 feet and the correct option is B.
POSSIBLE PC
Samantha is buying fertilizer for the grass in her backyard. What is the total area in square feet that she will have to fertilize?
45 ft
22 ft
30 ft
25 ft
2
3
4
Answer:One pound of nitrogen or mixed fertilizer is recommended per 1,000 square feet of lawn and your particular fertilizer contains 20% nitrogen. Refer to Table 1 to convert this to five pounds of fertilizer that should be applied per 1,000 square feet.
Step-by-step explanation:
the bathrrom tiles are square with a length of 10cm find tge area of such tile
Answer: 100
Step-by-step explanation:
Write an exponential function in the form y = ab^x that goes through points (0,5)
and (4,6480).
Answer:y=5(6)^x
Step-by-step explanation:
GIVING BRAINLIEST AND THE REST OF MY POINTS! PLS HELP :((
99+72=9(11+□ )
pleas help
Answer:
9(11+8)=171 8 is your answer
Step-by-step explanation:
99+72=171
For the expression 99 + 72 = 9 (11 + x) the value of x is 8.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
The given expression is,
99 + 72 = 9 (11 + x)
To find the value of x, simplify the expression by using mathematical operations,
171 = 9 (11 + x)
171 / 9 = 11 + x
19 = 11 + x
19 - 11 = x
8 = x
x = 8
The required value of x is 8.
To learn more about Mathematical operations on :
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If the cost of production is 20 per 17 inches ^2. why does the dough cost $2 and not say
$27 ($2*7') ?
Answer:
111.32 Answer =)
1Step-by-step explanation:
What is the midpoint of the segment shown below?
Please help out and explain the best you can !
Answer:
you need to rotate the shape to the right into the upper right hand section of the graph
Find the area of the triangle
Answer:
C) 17.1 square units
Step-by-step explanation:
Use Heron's formula to calculate the area of the triangle:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex] where [tex]s=\frac{a+b+c}{2}[/tex] which represents the semi-perimeter of the triangle:
[tex]s=\frac{9.9+6.1+6}{2}=11[/tex]
Therefore:
[tex]Area = \sqrt{11(11-9.9)(11-6.1)(11-6)}\\[/tex]
[tex]Area = \sqrt{11(1.1)(4.9)(5)}\\[/tex]
[tex]Area = \sqrt{296.45}\\[/tex]
[tex]Area = 17.2[/tex]
Therefore, the closest answer choice is C) 17.1 square units
does anyone know how to do this?
Answer:
Hope this helped!!!
Step-by-step explanation:
Please help me I will mark brainliest
-3х-5= 16
What’s the value of x?
Explain
Answer:
x= -7
Step-by-step explanation:
You need to first add 5 to the -5. Even though the - is a subtraction sign, you can still count it as a subtraction sign. In order to balance it out again, so you add the 5 to the 16. 16+5=21, so the equation would be -3x=21. To get x by itself, you divide by -3. So, -3x/-3 and 21/-3. That gets rid of the -3, and you get a -7 as an answer.
Help ASAP !!!!!!!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
it's basically the peak/ center.
Write the percent as a fraction and as a decimal.
372%
What is the fraction equivalent?
Answer:
fraction form- 372/100
decimal- 3.72
Step-by-step explanation:
Answer equation pls =)
1/4x+32=x+11
Answer:
1/4x+32=x+11 x=28
Answer:
x=28
Step-by-step explanation:
Write as decimal
0.25x+32=x+11
Subtract 0.25x from both sides
32=0.75x+11
Subtract 11 from both sides
21=0.75x
Divide both sides by 0.75
x=28
Left with what x equals
Please help meee! (Solve area)
Answer:
First we can do (12*4)- thats the top rectangle. Remember area is base times height.
48
Next lets do (8*12)-thats the middle rectangle
48+ 96
Now the triangles.
you can just do 2*8/2 because a triangle is half of a rectangle.
48+ 96+ 8
add 8 again because theres 2 triangles-
48+96 + 8 +8
Your answer is 160
I hope this helps you!
Goodluck!
(can i have brainlinest if this is right!?)
<3
4x-7y>10 Determine which point is a solution of the linear inequality.
Answer:
b hnhun
Step-by-step explanation:
b b jnh
Answer:
Step-by-step explanation:
Im guessing its telling you to solve using substitution ?
Well your lucky, most of the work is already done :D
you know y=x-7 , so just replace y with (x - 7) in the other equation
4x - 7(x-7) = 10
4x - 7x + 49 = 10
-3x = -39
x = 13
Now just plug X in the original equation to fine Y
y = x - 7
y = 13 - 7
y = 6
so the solution would be
(13,6)
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
PLEASE HELP.
The hypotenuse of a right triangle is twice the length of one of its legs the length of the other leg is 7 feet find the length of the three sides of a triangle answer exactly or round to two decimal places.
What does it mean if y is inversely proportional to x squared
Answer:
the answer of this question is
x is equal to the y to the power ➖ 1
Answer:
Below.
Step-by-step explanation:
It means that y = k/x^2 where k is some constant .
If you know the value of x when y is also known you can calculate k.
Please help me with this-
Answer and Step-by-step explanation:
Section the figure into two 3D shapes.
We get both figures to be a rectangular prism.
The Volume of a rectangular prism is length times width times height.
V (of top Rectangular Prism) = 2 × 2 × 4 = 16
V (of bottom Rectangular Prism) = 6 × 4 × 2 = 48
Now, we add those two volumes together to get the volume of the irregular figure.
16 + 48 = 64.
The volume of the irregular figure is 64 [tex]cm^3[/tex]
#teamtrees #PAW (Plant And Water)
Which statement is true about subsets of the real numbers?
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.Aug 28, 2018
Step-by-step explanation:
Can you answer 1 and 2
Answer:
You have them both correct. #1 is B #2 is C
Step-by-step explanation:
Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40