Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 2x + 1 ( subtract 1 from both sides )
y - 1 = 2x ( divide both sides by 2 )
[tex]\frac{y-1}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{x-1}{2}[/tex]
what is being shown in this picture?
A box holds a white button, a brown button and a black button. What is the probability of picking a white button then without replacing it, picking a brown button on the second pick?(decimal)
Answer:
1/5
In decimal = 0.2
Step-by-step explanation:
A box holds a white button, a brown button and a black button.
Hence:
Number of white button= 1
Number of brown button= 1
Number of black button= 1
Total number of buttons = 3
The probability of picking a white button then without replacing it, picking a brown button on the second pick is :
= P(White) × P(Brown) [ without replacement]
= 1/3 × 1/2
= 1/5
In decimal = 0.2
PLEASE HELP WILL GIVE BRAINLIEST
SIMPLE NUMBER LINE QUESTION
Factor the perfect square trinomials
24. 9x^2 + 42x + 49
Answer:
(3x+7)^2
Step-by-step explanation:
Simplify (4-5y)-(2y-16) DO NOT SOLVE FOR Y!!! JUST SIMPLIFY
Product of 1.25 (40)
Answer:
50
Step-by-step explanation:
1.25 (40) = 50
F △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio?
Answer:
[tex] \frac{HI}{Jk} [/tex]
Step-by-step explanation:
Recall that, when two triangles are said to be similar to each other, it means that their corresponding side lengths are proportional and the ratio of their side lengths are equal.
We are given that ∆HLI ~ ∆JLK which is justified by the SSS similarity theorem, therefore, [tex] \frac{HL}{JL} = \frac{IL}{KL} [/tex]. This ratio will also be equal to the ratio of the corresponding lengths of their third side, that is:
[tex] \frac{HI}{Jk} [/tex]
(See attachment where both ∆s have been drawn for better understanding).
Answer:
a
Step-by-step explanation:
got it right
f(x)=2x-5, evaluate f(5)
Answer:
F(5) = 5
Step-by-step explanation:
F(5) = 2(5) - 5
F(5) = 10 - 5
F(5) = 5
What’s the domain and range
Find the area of each figure.
Answer:
17. is 31.82 18. is 44.1
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
3x+2x+4=39 multi steps equation
Answer:
x = 7
Step-by-step explanation:
3x+2x+4=39
combine like terms 3x and 2x: 5x+4=39
subtract 4 on each side to get x alone: 5x=35
divide 5 on each side to get x alone: x = 7
answer: x = 7
i hope this helped :))
Answer:
7
Step-by-step explanation:
3x+2x+4=39
5x+4=39
-4 -4
--------------
5x=35
--- ---
5 5
x=7
? Question
A third-degree polynomial function has three real zeros, has a relative minimum at (2,-3), and increases on the interval
-infinity < x < -3. Sketch the graph of a function with these features.
Answer:
here ya go, got the answer after I submitted
which of the following functions are not one-to-one?
Answer:
Socratic
Step-by-step explanation:
Answer:
f(x) = x squared
f(x) = 7
determine the range of the graph shown
A). [0,8]
B).(0,8)
C).[0,13]
D).[0,12]
Explanation:
The lowest point occurs when y = 0.
The highest point occurs when y = 12.
The range is therefore [tex]0 \le y \le 12[/tex] which converts to [tex][0,12][/tex] which is interval notation. The square brackets tell us to include the endpoints. So we're saying that y can be anything between 0 and 12, including both endpoints.
The range is the set of all possible y outputs of a function.
Help me I'm stuck on this problem!!!! 10 points
12y² + 5x - 2 = ?
Answer:
5x^2 + 17xy - 12y^2
5x^2 + 5xy + 12xy - 12y^2
5x (x - y ) + 12 y ( x - y )
(5x + 12y ) (x-y).
Step-by-step explanation:
Pleasee help I'm stuck on this question! At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar? if necessary round to the nesrest hundredth.
Answer:
[tex]\huge\boxed{\text{0.17 hours}}[/tex]
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form [tex]\frac{cost}{hours}[/tex]
We know it costs $23 to ride for 4 hours, so we can make the fraction [tex]\frac{23}{4}[/tex].
We also know that for $1, we'll have some unknown time for the bike. We can represent this as [tex]\frac{1}{x}[/tex].
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
[tex]\frac{23}{4}=\frac{1}{x}[/tex]
We can now solve for x by cross multiplying.
[tex]1 \cdot 4 = 4\\\\4 \div 32 \approx 0.17[/tex]
So $1 will get you around 0.17 hours of bike time.
Hope this helped!
Answer:
0.17
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form
We know it costs $23 to ride for 4 hours, so we can make the fraction .
We also know that for $1, we'll have some unknown time for the bike. We can represent this as .
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
We can now solve for x by cross multiplying.
So $1 will get you around 0.17 hours of bike time.
have a blessed day
an NFL team kicker misses 2 out of every 11 field goals if he missed 8 field goals out of season how many did he attempt
Answer:
The answer is 44 field goals were attempted. The original ratio was 2/11 and in the second ratio they gave you the value of the field goals made which is 8/x.
Step-by-step explanation:
Answer:
8 out of every 44 field goals.
Step-by-step explanation:
2:11, = 4:22, = 6:33, = 8:44.
Which of the following definitions, are Geometric concepts that exist in 2 dimensions?
A. Ray
B. Plane
C. Angle
D. Perpendicular Lines
E. Point
A jacket usually sells for $62.00. If the jacket is 20% off, and sales tax is 5%, what is the total price of the jacket, including tax?
Mike owes his friend $4. Each day, Mike earns $2.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and yvalues represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the x-intercept mean? What does the y-intercept mean?
(d) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe
how the situation would need to change in order for y to directly vary with x. Then, write a direct
variation equation based upon the changed situation.
please help!!! :(
Answer:
a)2x=4
x=days
b)
c) x means how much money he has and y is how many days
Step-by-step explanation:
Ryan wants to plant 1/5 packet of seeds in each row of his garden he has four packets of C Ryan uses the expression 1/5 / 4 to find the number of rows you can plant explain what is wrong with his expression then write a equation to show the correct number of rows
Answer:
The correct expression = 4 / 1/5
The number of rows = 20 rows
Step-by-step explanation:
1/5 Packets of C = 1 row
4 packets of C = x
Cross Multiply
1/5 × x = 4 × 1
The correct expression is
x = 4/ 1/5
x = 4 ÷ 1/5
x = 4 × 5
x = 20 rows
The number of rows Ryan can plant is 20 rows.
can anyone answer this for me? would be greatly appreciated!
Answer: B.) y-1 = x-1
Step-by-step explanation:
The normal format for point-slope equations is
(y - b) = m(x - a) a is the x-value of the given coordinate, b is the y-value and m is the slope
Here, the slope is 1, so it is understood, and 1 always "disappears" when it is a factor
So substituting the values given
(y - 4) = (x - 1) The parentheses are unnecessary because there is no "m"
Which sentence explains the correct first step in the solution of this equation?
2(−4)=12
Answer:
Answer is choice C. We distribute the outer 2 into each of the inner terms (x and -4). Choice D is a trick answer because a lot of the time you might forget to multiply the 2 by the -4 inside the parenthesis (common mistake).
2 times x = 2x
2 times -4 = -8
2 times (x-4) = 2x-8
Side Note: Another path to solve this equation is to divide both sides by 2, then to add 4 to both sides.
solve for x 4x-12= 2(2x-6)
Answer:
0
Step-by-step explanation:
4x-12=2 (2x-6)
4x-12=4x-12
4x-4x= -12+12
0
If a new line, p, is drawn parallel to line I, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line 1
O Line p must be drawn in the same plane as line n.
Line p must be drawn so that it can lie in the same plane as line 1
Line p must be drawn in a way that allows it to lie in the same plane as line l.
What is a plane?In geometry, a plane extends in two dimensions indefinitely. There is no width. In coordinate geometry, a plane can be seen as an example. The positions of points in a plane are determined by their coordinates.
A plane is a flat, two-dimensional surface in mathematics that extends indefinitely. A plane is a two-dimensional analog that can incorporate three dimensions of space, a line, and a point.
Given two planes A and B,
and line l is in plane A,
to draw a line parallel to l,
"Two lines in the same plane, which are equally spaced apart and never cross" are parallel lines.
In order for a new line, p, to lie in the same plane as line l, it must be drawn parallel to line l.
Plane A contains line l.
Thus, plane A is where the line p must be drawn.
Hence option C is correct.
Learn more about planes;
https://brainly.com/question/17458011
#SPJ2
The perimeter of a rectangle is 8(2x+1) inches. The length of the sides of the rectangle are 3x+4 inches and 4x+3 inches. Find the length of each side of the rectangle. (You will have two answers.)
Answer:
The lengths of the sides of the rectangle are 13 inches and 15 inches
Step-by-step explanation:
The perimeter of a rectangle
Given the two sides of a rectangle a and b. The perimeter of the rectangle is:
[tex]P=2(a+b)[/tex]
We are given the perimeter of a rectangle as:
[tex]P=8(2x+1)[/tex]
And each side has a length of 3x+4 and 4x+3. Calculating the perimeter:
[tex]P=2(3x+4+4x+3)=2(7x+7)[/tex]
We set up the equation:
[tex]8(2x+1)=2(7x+7)[/tex]
Dividing by 2:
[tex]4(2x+1)=7x+7[/tex]
Operating:
[tex]8x+4=7x+7[/tex]
Subtracting 7x:
[tex]x+4=7[/tex]
Subtracting 4:
x=3
The length of each side is:
3x+4=3*3+4=13
4x+3=4*3+3=15
The lengths of the sides of the rectangle are 13 inches and 15 inches
Please help me
I don't understand the first question can you explain
Answer:
(4,3)
Step-by-step explanation:
3 represented the y axis, but if you put 3 on the x axis it would be D (4,3)
Answer:
Im pretty sure its 2 cuz:
Step-by-step explanation:
it goes from the top of the graph to the bottom in the same position
so u just need to reverse the negatives and positives
CAN SOME PLEASE HELP ME I BADLY NEED THE SOLUTION AND THE ASNWER. ASAP!
Answer:
Step-by-step explanation:
Quick questions: If there is 500 candies and my brother and I took 300 how many would my mom have left. 5000x6000x100000x10=....?. Math: 70,000x8,500,000x8,000,000,000x4,76000000000000e21x2000000000=...?
Answer:
3e+13 is this actucally a math question ur teacher asked ?
order the numbers from least to greatest. -1/20, -5/8, 0, -1, -3/4
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation: