Answer:
Option a: m ≠ 0
Step-by-step explanation:
After a small online search, I've found that the complete question is:
If the function f(x) = m*x + b has an inverse function, which statement must be true?
a) m ≠ 0
b) m = 0
c) b ≠ 0
d) b = 0
Ok, if g(x) is an inverse of the function f(x), then:
g( f(x)) = x
f( g(x)) = x
Let's assume that f(x) = m*x + b has an inverse, and this inverse function is g(x).
Because f(x) is linear, g(x) is also linear, then:
g(x) = n*x + c
Let's find the values of A and B.
We know that:
f( g(x)) = x = m*(n*x + c) + b
then
x = m*n*x + m*c + b
Then we must have:
m*n = 1
(m*c + b) = 0
From the first equation m*n = 1
We get:
n = 1/m
The slope of the inverse function is one over the slope of the original function.
Because m is on the denominator, m can not be equal to zero (because a division by zero is not defined)
Then the correct option is the option a, m ≠ 0.
Answer:
A
Step-by-step explanation:
edge 2021
How many cubes with side lengths of
1
2
cm
2
1
cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
question:
How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?
Step-by-step explanation:
81 cubes are needed to fill the prism
Step-by-step explanation:
Volume of prism = 3 cubic units
Side lengths of cube = 1/3
Therefore the volume of the cube is,
V = a³ (a = side of the cube)
V = 1/3 × 1/3 × 1/3
= ( 1/3 )³
= 1/27 cubic units
To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.
Number of cubes to fill the prism= Volume of prism / Volume of cube
= 3÷1/27
=3×27/1
= 81
Therefore, 81 cubes are needed to fill the prism
Can you guys help me
Answer:
B
Step-by-step explanation:
YOu have 1 and 5 two numbers you but the 2 over the 6 and you get 2/6 simplify that and you get 1/3 which is B
The Langs family drove 225 miles to a beach. Most of their travel was on interstate highways. The Langs drive 65 miles per hour on the last 45 miles of their trip. On average, the Langs traveled 20 miles on one gallon of gas. The gas tank on the Langs' car holds 15 gallons of gas. The Langs had a full tank when their trip began. How many times did they stop to refill the tank before they reach the beach
Answer:
Step-by-step explanation:
I need help with this question
A four foot tall girl cast a shadow of 6 feet. A shade tree cast a shadow of 24feet. What is the height of the tree?
A. 13
B. 12
C. 16
D. 20
please help me! (please no links!)
Answer:
a.
Step-by-step explanation:
A cylinder has a height of 4.5 centimeters and a diameter of 1.5 centimeters. Which would be the net of the cylinder?
Answer:
24.73cm^3
Step-by-step explanation:
Identify the question that is NOT statistical
To make sure there is enough space for the donuts, Dave wants to add 2 inch to the minimum length, width, and height of the box. Including the additional space, what should be the length, width, and height of the new box, in inches? Enter each answer in a separate response box.
The new length, width, and the height are (L+2) inches, (W+2) inches, and (H+2) inches respectively
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.
Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space.
So the new length = (L+2) inches
New width = (W+2) inches
New height = (H+2) inches
Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.
Learn more about the cuboid here:
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5. Below is the data from randomly sampling 100 students in two different cities
regarding their favorite type of music.
City Pop Rock Rap Country
More students like rock in Hill than in Clark.
Hill
15
47
21
17
Clark 13
5
20
62
About the same number of students like rap in both cities.
е E
Which of the following inference can NOT be made based on the data above?
If more students were polled, the results would not change.
Most students like rock in Hill, but most students like country in
Clark.
Answer:
C
Step-by-step explanation:
A can is 7 inches high and has a radius of 2 inches,
r = 2 in
h = 7 in
Enter the volume, in cubic inches, of the can. Round your answer to the nearest hundreth.
Answer:
87.92 cubic inches
Step-by-step explanation:
to find the volume of a cylinder the formula is V = [tex]\pi[/tex][tex]r^{2}[/tex]h
so first i squared 2
2x2= 4
i then multiplied 4 by the height (7)
4x7 = 28
then times 28 by pi (3.14)
28x 3.14 = 87.92
The volume of cylinder is 87.92 cubic inches
volume :
volume is the amount of space in a certain 3D object.
formula used to find the volume of cylinder :
V = π × r^2 × h
as given ,
r = 2 inch
h = 7 inch
so ,
V = π × (2)^2 × 7
⇒ π × 28
V = 87.92 cubic inches
Hence , the volume of cylinder is 87.92 cubic inches .
let as know more about volume here :
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Which side lengths form a right triangle?
Answer:
a is the answer
hope this will help you
Pls help will
Give brainlist
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Total girls
= 12 + 18
= 30
Girls who prefer soccer =
12
Percentage =
12/30
= 0.4
= 40%
Zack’s Italian Pizza Bar baked 2,000 pizzas in the first year that they were open. In the second year, they baked 3,000 pizzas and in the third year 4,000 pizzas. Write a function that could model the growth of pizzas baked, where x = 0 is the first year.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of years, where x = 0 represent the first year. Let y represent the number of pizzas baked.
In the first year(i.e. at x = 0), 2000 pizza was baked. This can be represented by (0, 2000).
In the second year(i.e. at x = 1), 3000 pizza was baked. This can be represented by (1, 3000).
In the third year(i.e. at x = 2), 4000 pizza was baked. This can be represented by (2, 4000).
Therefore, the relationship between x and y is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Using the points (0, 2000) and (2, 4000):
[tex]y-2000=\frac{4000-2000}{2-0} (x-0)\\\\y-2000=1000x\\\\y = 1000x+2000[/tex]
What is the answer to this question?:
17a - 2a + 5 - 2
Answer: 15+3
Step-by-step explanation:
Please help me answer this
Answer:
area of the square=12×12
=144 cm²
area of the circle (radius=12/2=6 cm
πr²
3.142×6²
=113.112 cm²
area of the square-area of the circle
144. -113.112
30.888 cm²
Area of the shaded region=30.888/4
=7.722 cm²
Someone help please! I'm a confoosed bab:(
Answer:
[tex]\huge\boxed{A_{\triangle RST}=9units^2}[/tex]
Step-by-step explanation:
(Look at the picture).
Calculate the area of the rectangle and subtract the areas of red triangles.
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=a\cdot b[/tex]
We have:
[tex]a=5,\ b=4[/tex]
substitute:
[tex]A_{\boxed{\ }}=5\cdot4=20[/tex]
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{a\cdot h}{2}[/tex]
substitute:
[tex]A_1=\dfrac{3\cdot3}{2}=\dfrac{9}{2}=4.5\\\\A_2=\dfrac{2\cdot4}{2}=\dfrac{8}{2}=4\\\\A_3=\dfrac{5\cdot1}{2}=\dfrac{5}{2}=2.5\\\\A_1+A_2+A_3=4.5+4+2.5=11[/tex]
Area of ΔRST:
[tex]A_{\triangle RST}=A_{\boxed{\ }}-(A_1+A_2++A_3)[/tex]
substitute:
[tex]A_{\triangle RST}=20-11=9[/tex]
How many proportional relationships are shown in the coordinate plane below?
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
The graph has 0 proportional relationships.
What shows proportional relation?
The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.
How many proportional relation in graph?
In the given graph, only one purple color curve is a straight line but it is not starting through the origin.
Therefore, the graph does not have any proportional relationships.
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Adjust the number into correct standard form.
0.4×10^5
Answer:
40000
Step-by-step explanation:
Using that thing called pemdas, do the exponents first, then the multiplication so:
10^5 = 100000
100000 x 0.4 = 40000
Patti records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Patti finds that the trend line that best fits her results has the equation
y= 2x + 52.
If a girl on her team wears a size 3 shoe, how many inches tall would Patti
expect her to be?
A. 58 inches B. 60 inches. C. 64 inches D. 62 inches
Answer:
58 inches
Step-by-step explanation:
Just did it
Answer:
( A ) p 3 x
Step-by-step explanation:
One cube has a volume of 192 cm3, and another has a volume of 375 cm3. How much longer is the edge of the larger cube than that of the smaller cube?
Answer:
134
Step-by-step explanation:
If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps
Answer:
x = 13/12
Step-by-step explanation:
explain on image
Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
Two triangles are congruent if one angle of one triangle is equal in measure to the corresponding angle of the other triangle.
True or False
Answer true
Step-by-step explanation:
Answer:
Correct option is
False
Even though all the corresponding angles of the two triangles are equal, the corresponding sides may not be equal.
Hence, the two triangles are not congruent.
The given statement is false.
John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make
Answer:
£18.2
Step-by-step explanation:
4.5 kg = 4.5 * 1000 = 4500 g
Sharing in the ratio :
Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively
Sum of ratio = (4 + 2 + 3) = 9
Chocolate = 4/9 * 4500 = 2000 g
Peanut butter = 2/9 * 4500 = 1000 g
Crisped rice = 3/9 * 4500 = 1500 g
1 bar of chocolate = 200 g at 2.50
2000/ 200 * 2.50 = £25.0
1 jar of peanut butter = 250 g at 1.70
1000 / 250 * 1.70 = £6.8
1 packet of crisped rice = 300g at 2
1500 / 300 * 2 = £10
Total cost of ingredients = £(25+6.8+10) = £41.8
Number of pieces of chocolate squares made = 100
Selling price per square = 60p = £0.6
Total revenue made = £0.6 * 100 = £60
Profit realized = £(60 - 41.8) = £18.2
I need help getting the answer could you help me by chance to receive brainlest!?
Which power of 10 should be in the to make the equation true?
73.4: = 00.734
Answer:
-2 power.
Step-by-step explanation:
What solid is
generated when the rectangle is rotated about the
line?
rectangular prism
cylinder
cone
rectangular pyramid
Answer:
Rectangular Prism
Step-by-step explanation:
When the rectangle is revolved about line a, a rectangular prism is formed. The volume of the solid formed when the rectangle is rotated about line a is 72π cubic units.
Answer:
cylinder
Step-by-step explanation:
cylinder.
Show your work to solve me following. Will give Brainliest
Answer:
X = -32/11
Step-by-step explanation:
how do you find the perimeter of a half circle
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation: .
Answer:
πr
Step-by-step explanation:
We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,
=> 2πr/2
=> πr
Hence the required answer is πr .