Relation given:-
{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}Inverse
{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}#2
f(x)=2x-3Let it be y
[tex]\\ \tt\hookrightarrow y=2x-3[/tex]
[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]
[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]
Write in terms of x
[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]
please help giving brainliest and big points it would be greatly appreciated :))
Answer:
X = 4 , Y = b , Z = 2a
Step-by-step explanation:
2b(2ab)² - a(2b²)² ← expand parenthesis
= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis
= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term
= 4ab³(2a - b)
Compare terms to XaY³(Z - b)
with X = 4 , Y = b , Z = 2a
Select all the equations that have {6} as its solution set.
15−x=54x
8+3x=6x−10
x2+2=7x−4
43−4x=3x−1
ANSWER:
The ANSWER IS 2. if two solutions are allowed then 2. AND 3. and if your rounding, then 2. 3. and 4.
Step-by-step explanation:
For the first one it is: 0.27... or 3/11
For the second one it is: 6
For the third one it is: 1 or 6, meaning it has two solutions
For the fourth one it is: 6.285714, or 44/7
for the first one: 15-x=54x -> add x to both sides: 15=55x -> then divide both sides by 55: x=3/11
for the second one: 8+3x=6x-10 -> subtract 6x from both sides: 8-3x=-10 -> subtract 8 from both sides: -3x=-18 -> divide both sides by -3: x=6
I'm actually supposed to be doing school, so I don't have time to explain the last two, but I wanted to help, so please give 4 stars or brainliest. and thanks for waiting patiently.
The equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
The equations that have {6} as its solution set is,
We have to solve the equation in order to find the value of x,
Equation 1,
15−x=54x
54x+x=15
55x=15
x=0.27
Equation 2,
8+3x=6x−10
6x-3x=-10+8
3x=18
x=6
Equation 3,
x²+2=7x−4
x²-7x+6=0
x²+6x+x+6=0
x(x+6)+1(x+6)=0
(x+1)=0 , x=-1
(x+6)=0, x=-6
Equation 4,
43−4x=3x−1
4x+3x=43+1
7x=44
x=44/7
x=6.285
Thus, the equation 8+3x=6x−10 has {6} as its solution set. Option B is correct.
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Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1
Answer:(1-(1/x))/2
Step-by-step explanation:
(1-(1/x))/2
We can multiply both sides by x:
Top: x(1-(1/x)) = (x - 1)
Bottom: 2x
(1-(1/x))/2
An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.
Step-by-step explanation:
9.75/.75 = 13
which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.
as 4 volunteers are needed in each section
so keeping this in mind 13×4 = 52
therefore, 52 volunteers race organizer need.
hope this answer helps you dear! take care
Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.
Answer:
54 marbles
Step-by-step explanation:
7+2=9(amount Eric had in all)
9×6=54
so in all, he bought 54 marbles which he shared among his friends and brother.
ANS:54 marbles
1. Beth is buying 3 pounds of chicken thighs for $1.29 per pound. How much will she pay?
How many servings will the thighs provide?
Based on the cost of the chicken thighs per pound, Jackie would pay a total of $3.87
The chicken thighs cost $1.29 per pound purchased.
The cost of 3 pounds is:
= Cost per pound x Number of pounds
Solving would give:
= 1.29 x 3
= $3.87
In conclusion, Beth will pay $3.87 for the chicken. There isn't enough data to know the number of servings.
Find out more at https://brainly.com/question/21511823.
I need this answer also. As fast as possible!!! Please please
Answer:
See below:
Step-by-step explanation:
The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.
So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].
So what we can do, is input 12 as n in the original function.
Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]
Using algebra, we can solve it and we get 11!
Cheers!
HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
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What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k)are the coordinates of the centre and r is the radius
Given
2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )
x² + y² - 2x + 8y = 64 ( collect x and y terms together )
x² - 2x + y² + 8y = 64
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16
(x - 1)² + (y + 4)² = 81 ← in standard form
with centre = (h, k ) = (1, - 4 ) → C
Rachel's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Answer:
4 times
Step-by-step explanation:
there is 16 cups of water in a gallon
16/4=4
how many square units are in an office that is 13 units by nine units
how many three-digit positive integers have exactly two digits that are the same?
there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:
Step-by-step explanation:
You spin the spinner once. What is P(factor of 90)?
Answer:
1
Step-by-step explanation:
d5 7yvjn3f5crc6tv6tvt7gv7g
write a quadratic equation for the points (2,0) and (12,5). make sure to include the axis and five points used to graph the parabola
Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
The graph is sketched at the end of this answer.
The Factor Theorem states that a polynomial function with roots is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
In this problem:
The graph is a parabola, which means that the function is of the 2nd degree.One zero, with multiplicity 2, at [tex]x = 2[/tex], hence, [tex]x_1 = x_2 = 2[/tex].Then:
[tex]f(x) = a(x - 2)(x - 2)[/tex]
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.
[tex]f(x) = a(x^2 - 4x + 4)[/tex]
[tex]5 = a(12^2 - 4(12) + 4)[/tex]
[tex]100a = 5[/tex]
[tex]a = \frac{5}{100}[/tex]
[tex]a = 0.05[/tex]
Hence, the parabola is:
[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]
At the end of this answer, the graph with five points is sketched.
A similar problem is given at https://brainly.com/question/24380382
In the puzzle below, A, B and C are represented by different positive integers. In this case, only odd numbers are needed for consideration, Can you make a couple of quick deductions to determine the value of A
A B
X C
-------
AAA
Answer:
x
Step-by-step explanation:
which of the following shows the correct order of steps needed to simplify 5+2(3-1)
Answer:
BODMAS
Step-by-step explanation:
5+2(3-1)
= 5 + 2(2)
= 5 + 4
= 9
*First calculate the sum inside the brackets which equals 2. Then multiply 2 with the answer which you got inside the bracket which equals 4. Then add the result with 5. The answer is 9
Bracket Of Division Multiplication Addition Subtraction
First solve the sums which are inside the brackets. Then solve the numbers which have powers with them. Then divide the numbers which have division signs with them. Then multiply the numbers which have multiplication signs with them. Then add the numbers which have addition signs with them. Lastly subtract the numbers which have subtraction signs with them.
Hope this helps!!
Ashley has 10 skirts in her closet.
2 skirts are blue
3 skirts are red
4 skirts are green
1 skirt is pink
Ashley randomly selects 2 skirts without replacement. The outcome of the second skirt is —
Answer:
the highest choices are red and green
BOOKMARK
✓ CHECK ANSWER
o
A
2
A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I
Answer:
There are 14 teachers per student
Step-by-step explanation:
students per teacher =
students / teachers
students: 84
teachers 6
84 / 6 = 14
Write the equation of the line y=-11/3x+3 in standard form
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The equation of line is,
y = -11/3 x + 3
Since, The standard form of the equation of line will be;
Ax + By = C
Where, A, B and C are integers.
Now, We convert the equation of line in standard form as;
The equation of line is,
y = -11/3 x + 3
Multiply by 3 in both sides,
3 × y = 3 (-11/3 x + 3)
3y = 3 × -11/3 x + 3 × 3
3y = - 11x + 9
3y = - 11x + 9
Add 11x both side;
11x + 3y = - 11x + 9 + 11x
11x + 3y = 9
Thus,
The standard form of the equation of line will be;
⇒ 11x + 3y = 9
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Please help!
Factored Form: -2(x + 1)(x - 3)
a=
concave up or down
y-int (, )
A.o.S: x =
vertex:
x-intercepts ( , ) ; ( , )
Which fraction and decimal forms match the long division problem? 15) 8.000 75, 50 45, 的一 5 O A. 8 and 0.53 15 O B. B. 15 and 0.53 8 O c. 15 and 0.533 8 O D. 8 and 0.53 15
Answer:
The correct answer is AAAA
Answer:
A.
[tex] \frac{8}{15} and \: 0.53[/tex]
Given that 2x/5=3y/8, find the ratio of X:y
Answer:
[tex]\frac{2}{5} :\frac{3}{8}[/tex]
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.
Math and Science If 7 giant solar power
plants generate 1.3 gigawatts (GW) of
energy to power 900,000 homes, how
many gigawatts can 21 giant solar plants
generate?
Answer:
Step-by-step explanation:
multiply everything by three to get your answer
Need help with this ASAP I’ll mark brainliest
Answer:
option 3
Step-by-step explanation:
The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then
(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )
Does -19x go behind -12xi or in front of o -12xi in standard form?
x^2-19x-12xi or x^2-12xi-12x
Answer:
It's x² -12xi-12x
Step-by-step explanation:
You always do ax²+bx+c
help please??????????????????
Answer:
-5 and 2
-2 and -1
-3 and 0
There is no shortcut to solving this type of problem. You just have to use trial and error.
:)
Answer:
-2+ (-3)
-5+ 0
-1+ (-2)+ (-2)
Hope this helps!
LMK if it does
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
insane in the membrane
Solve
2^3n-4>0
...................
Answer:
2^3n-4>0 4
Step-by-step explanation:
brainlies me plsss
Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13
Answer:
13/ 14 the first one
Step-by-step explanation: