let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?
well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).
we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).
the above means that f⁻¹(15) = -4.
Identify the statement(s) that are both biconditional and false. Three points are not in the same plane if and only if exactly one line passes through them. Exactly one line passes through three points if the points are in an infinite number of planes. an infinite number of planes pass through the same three points if and only if the points are not on the same line. three points on the same line if and only if exactly one plane passes through them.
Answer:
Step-by-step explanation:
1) Three points are not in the same plane if and only if exactly one line passes through them.
It is biconditional and false because more than one plane can pass through three points
2)Exactly one line passes through three points if the points are in an infinite number of planes.
It is biconditional and true because three points on same line will be in more than one plane and if they are not in the same plane then connect them and it will form a triangle which is in only one plane
3). an infinite number of planes pass through the same three points if and only if the points are not on the same line.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
4). three points on the same line if and only if exactly one plane passes through them.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
For the given similar polygons, the value of x equal to 30.
Similar PolygonsTwo polygons are classified as similar when their angles are congruent and their sides are proportional.
If the polygons of this exercise are similar. You can write:
[tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}[/tex]
Then,
[tex]\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}\\ \\ \frac{18}{12}=\frac{x}{20}=\frac{21}{14}[/tex]
It is possible to note that the scale factor is [tex]\frac{3}{2}[/tex]. See it.
[tex]\frac{18:6}{12:6}=\frac{3}{2} \\ \\ \frac{21:7}{14:7}=\frac{3}{2}[/tex]
Therefore, you can find x from:
[tex]\frac{18}{12}=\frac{x}{20}\\ \\ 12x=18*20\\ \\ 12x=360\\ \\ x=\frac{360}{12} =30[/tex]
Read more about the similar polygons here:
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what is 22.8333333333 as a fraction?
Answer:
22 83/100
Step-by-step explanation:
22 is a whole number, while .8333 is continues you have to round it to .83. .83 is in the hundredths place so it would be 83/110. So in the end you'll have 22 83/100
Answer: I’m assuming this is supposed to repeat because that’s ridiculous if it isn’t. The answer is 22 5/6
The bill for Jacoby's breakfeast at a Nashville restauraunt is $9. He wants to leave a 20% tip. How much should the tip be?
Answer:
$1.80
Step-by-step explanation:
9x0.2=1.80
He should leave 1.80 as a tip.
In the chart below is the depth of a submarine in the ocean over several
minutes. Use this chart for part a and part
b.
Time
Depth
1:30 pm
- 10 feet
1:31 pm
-28 feet
1:32 pm
-30 feet
1:33 pm
-40 feet
1:34 pm
-50 feet
1:35 pm
-60 feet
a. Is the submarine moving toward the water surface or toward the bottom of
the ocean?
b. How many feet did the submarine travel from 1:32 - 1:34 pm?
Answer:
B. Submarine travelled 50 ft.
A. Submarine is descending (toward bottom)
John runs 18 miles in 6 hours. At that rate,
how many miles can John run per hour?
Answer:
3 miles per hour
26 - 44 : 11 - 5*2- 2*(14:7) =
Answer: 4
Step-by-step explanation:
Follow the PEMDAS so the first thing you do is 14:7 which is 2. then you do the division and multiplication so the 44:11 is 4, 5*2 is 10, and 2*2 is 4. The next thing you do is addition and subtraction. 26-4-4-10-4 is 4. So, the answer is 4.
A rectangular piece of cheese is 9 centimeters long is 5 centimeters wide. What is the perimeter
Solution:
We know that:
Perimeter of rectangle = 2L + 2BGiven:
L = 9 cmW = 5 cmSubstitute the values into the expression to find the perimeter.
Perimeter of rectangle = 2L + 2B=> 2(9) + 2(5)=> 18 + 10=> 28 cmAnswer: 28cm
Step-by-step explanation:
The perimeter formula for a rectangle = 2(l + w); where:
length = 9cm
width = 5cm
P = 2(l + w)
= 2(9 + 5)
= 18 + 10
= 28cm
Therefore, the perimeter of the cheese is 28cm
Estimate by rounding each term to 0, 1/2, or 1.
7/12 - 4/7
24b+25 what Is the value of b
Answer:
Tanong mo kay mama mo
Step-by-step explanation:
Kase mag aral ka ng mabuti wag puro brainly
Which of the following are solutions
to the inequality b<-8 ?
Answer:
- 15 and -10
Step-by-step explanation:
Answer:
the answers are b=-15
b=-10
At a wrestling event, ringside seating will consist of three rows being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row?
Answer:32
Step-by-step explanation:
what is the simplest form of - 1 5/12
Answer:
5/4
Step-by-step explanation
You first find the multiples of 15 and 12 and then see if they a common multiple. After finding the common multiple,3, divide 15 by 3 and do the same for 12, then you would have the answer which would be 5/4.
Evaluate 5x when x = -5.
*help plsss*
Answer:
-25
Any number times a negative number is like subtracting that number multiple times, similar to division.
↓ Here is the equation but factored ↓
[tex]5(x)\\5(-5)\\5 x -5\\-25xy[/tex]
xy is simply the term used in factoring when a number is combined with its factor in algebra to recreate the value of the starting equation.
Enter an expression equivalent to (3x2 + 2y2 – 3x) - (2x2 + y2 - 2x) using the fewest number of possible terms
Answer:
x2+y2-x
Step-by-step explanation:
subtract like terms.
The required equivalent expression is [tex]x^2+y^2-x[/tex].
Important information:
The given expression is [tex](3x^2+2y^2-3x)-(2x^2+y^2-2x)[/tex].Equivalent expression:The given expression can be written as:
[tex]3x^2+2y^2-3x-2x^2-y^2+2x[/tex]
Combining like terms, we get
[tex](3x^2-2x^2)+(2y^2-y^2)+(-3x+2x)[/tex]
On simplification, we get
[tex]x^2+y^2-x[/tex]
Therefore, the required equivalent expression is [tex]x^2+y^2-x[/tex].
Find out more about 'Equivalent expression' here:
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i do not know this answer, Edmond's house is due west of Greenwood and due south of Vindale. Greenwood is 12 miles from Edmond's house and 15 miles from Vindale. How far is Vindale from Edmond's house, measured in a straight line?
Check the picture below.
What is the GCF of 81 and 72?
Answer:
9
Step-by-step explanation:
81= 1,3,9,27,81
72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,72
9 is the most common so GCF will be 9.
Answer:
See below.
Step-by-step explanation:
81 - 1,3,9,27,81
72 - 1,2,3,4,6,8,9,12,18,24,36,72
The GCF is 9.
-hope it helps
Using the black numbers on the stop watch to answer the questions
what is the most accurate reading seconds as indicated by the long second hand?
1st answer: 5.3s
2nd answer: Tenths of seconds
Answer:
r = 0.84
Step-by-step explanation:
The mean reading time obtained with the stopwatch measurements was 4.34 ± 0.57 seconds (196.21 ± 21.79 wpm), versus 4.44 ± 0.59 seconds (192.24 ± 22.20 wpm) by computer measurement (r = 0.84).
The volume of the shaded portion of the cylinder help??????????????
Answer:
56.52mm²
Step-by-step explanation:
Based on observation, sum of diameters of small circles = diameter of the big circle.
In question, diameter of big circle = 12 mm.
And radius of big circle = 12mm/2 = 6mm
Let the diameter of each small circle be '2a'. So, radius of each small = 2a/2 = a.
=> 2a + 2a = 12mm
=> 4a = 12mm
=> a = 3mm
=> radius of each small circle = 3mm
Area of big circle = πr²
= (3.14)(6mm)²
= 113.04 mm²
Area covered by 2 small circles is: 2 * area of 1 one circle.
=> 2 * π(3mm)² = 18π mm²
=> 56.52 mm²
Shaded area = total area - area of 2 circles = 113.04 - 56.52 mm² = 56.52 mm²
5) A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?
Answer:
At most you can send 360 text messages while spending at most $52.
Step-by-step explanation:
Let x = money per text message
34.00 + 0.05x ≤ 52
-34.00 -34.00
[tex]\frac{ 0.05x}{ 0.05}[/tex] ≤ [tex]\frac{18}{0.05}[/tex] = 360
So, at most you can send 360 text messages while spending at most $52.
Answer:
360
Step-by-step explanation:
Give brainliest
find x
PLEASE HELP QUICKLY
Answer:
[tex]\boxed{\tt B)\:x=9}[/tex]
Step-by-step explanation:
[tex]\tt 8(8+x+3)=10(10+x-3)[/tex]
[tex]\tt 8(x+11)=10(x+7)[/tex]
[tex]\tt 8x+11=10x+70[/tex]
[tex]\tt 10x-8x=88-70[/tex]
[tex]\tt \cfrac{2x}{2} =\cfrac{18}{2}[/tex]
[tex]\boxed{\tt x=9}[/tex]
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solve the system of linear equations -x+5y=15 -1/5x+y=3
Answer:
[tex](0,3)[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-\frac{1}{5}\left(15-5y\right)+y=3\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-3+2y=3\end{bmatrix}[/tex]
[tex]+3[/tex] [tex]+3[/tex]
[tex]2y\f=6[/tex]
÷[tex]2[/tex] ÷[tex]2[/tex]
[tex]y=3[/tex]
[tex]\mathrm{for\:}x=15-5y[/tex] [tex]\mathrm{substitute\:}y=3[/tex]
[tex]x=15-5\cdot \:3[/tex]
[tex]5*3=15[/tex]
[tex]15-15=0[/tex]
[tex](x,y)[/tex]
[tex](0,3)[/tex]
Use the interactive to find an expression equivalent to
4x -4- 2x + 3.
O 2x - 1
0 6Y- 1
O 2x - 7
0 -2x + 3
Answer:
I solved it and my answer is number 1
Which expression(s) below are equivalent to -3x + 6? select all that apply.
a. (4x + 2) + (-7x + 4)
b. (-4x + 4) - (x - 2)
c. -3(x - 2)
d. 1/2(-6x + 12)
Answer:
[tex]a. (4x + 2) + (-7x + 4) \\ c. -3(x - 2) \\ d. 1/2(-6x + 12) \\ \: are \: the \: once \: that \\ apply[/tex]
what is the solution for y=2x-1
Answer:
Simplifying
Y = 2x + -1
Reorder the terms:
Y = -1 + 2x
Solving
Y = -1 + 2x
Solving for variable 'Y'.
Move all terms containing Y to the left, all other terms to the right.
AnswerY = -1 + 2xStep-by-step explanation:
Andy and Kristina are getting married soon and want a large cookie table at their wedding. If there are 225 guests attending their wedding and they want each guest to be able to have 5 cookies, how many dozen cookies do they need to order?
a).93 dozen
b).94 dozen
Answer:
b).94 dozen
Step-by-step explanation:
225*5=1125
1125/12/93.75
93.75 rounded = 94
please tell me. i have an hr to finish and try to get a passing grade so i won’t have to retake this class
Answer:
[tex]h(x)=\left(\cfrac{1}{10}\right)^3[/tex]
_______________
x h(x)
-3 (1/8)^{-3}= 1000
-2 (1/8)^{-2}= 100
-1 (1/8)^{-1}= 10
0 (1/8)^{0}= 1
1 (1/8)^{1}= 1/10
________________
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Find the distance between the two points rounding to the nearest tenth
(8,-9) and (2, - 7)
Answer:
-9
Step-by-step explanation:
please just explain it to me (about the center of the data set below
Answer:
ask your teacher for help , maybe youll find the answer quickly
Step-by-step explanation:
I need help with #14 MULTIPLE CHOICE
Answer:
a
Step-by-step explanation:
Answer:
[tex]m = \frac{-1}{6}[/tex]
Step-by-step explanation:
You are solving for the slope (m). Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) =(-2 , 1)\\(x_2 , y_2) = (4 , 0)[/tex]
Plug in the corresponding numbers to the corresponding terms:
m = [tex]\frac{0 - 1}{4 - (-2)}[/tex]
[tex]m = \frac{-1}{4 + 2} \\m = \frac{-1}{6}[/tex]
[tex]m = \frac{-1}{6}[/tex] is your answer.
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