Answers
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]
Related Questions
What does this graph represent?
Question options:
not moving
acceleration
constant speed
Answers
Answer:
A or C
Step-by-step explanation:
9. Using a twenty sided number cube, what is the probability that you will roll an even number or
an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
(1 point)
Answers
Answer:
0.85
Step-by-step explanation:
total samples cases = 20
chances that are even or odd prime are 17 chances
2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20
probability = 17/20
= 0.85
Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =
Answers
Answer:
f(-2) = 2
f(0) = 4
f(4) = -1
Step-by-step explanation:
Given the graph of a piecewise function:
[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]
Side note:
I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.
Explanation:There are two methods for determining the range values of the given domain values.
Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.
Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.
Regardless of the method used, the results will remain the same.
f(-2)Since the input value is x = -2, then we must use the function, f(x) = x + 4:
f(x) = x + 4
f(-2) = -2 + 4
f(-2) = 2
Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.
f(0)
Given the input value is x = 0, then we must also use the function, f(x) = x + 4:
f(x) = x + 4
f(0) = 0 + 4
f(0) = 4
Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.
f(4)
Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:
f(x) = -½x + 1
f(4) = -½(4) + 1
f(4) = -2 + 1
f(4) = -1
Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]5. Find the triangle similar to AABC at the right.
Answers
Answer:
the answer is b
Step-by-step explanation:
60 divided by the ratio of 7:3
Answers
7 + 3 = 10
Now we can divide 60 by 10:
60 divided by 10 is 6
Finally we can multiply both 7 and 3 by 6:
7 x 6 = 42
3 x 6 = 18
To check we can add 42 and 18: this gives us 60.
Answer: 42:18
Hope this helps!
Please help geometry question
Answers
Answer:
D) QR≅ST
The answer follows from basic AAS congruences
Answer:
line PQ≅line SU
Step-by-step explanation:
∆PQR ∆UST
P corresponds to U
Q corresponds to S
R corresponds to T
line PQ to line US
line QR to line ST
line PR to line UT
find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?
Answers
Answer:
In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.
Step-by-step explanation:
:3
I need help please each number has its own equation number it off please
Answers
5. x/8 - 5 > -6/10
6. 2 + x ≥ 4 * 12
What is the quotient of 1.155 x 10^5 and 1.65 x 102 expressed in scientific
notation?
Answers
Answer: 7.00x10^2
Step-by-step explanation:
Are you asking for the quotient of (1.155 x 10^5)/(1.65 x 10^2)?
If so, divide (1.155/1.65) = 0.7000.
Then subtract 2 (the bottom exponent from [tex]10^{2}[/tex]) from the top exponent: [tex]10^{5}[/tex] becomes [tex]10^{3}[/tex].
Combine the two: 0.7000x10^3
Move the decimal point to the right by one: 7.00x10^2 (to 3 sig figs).
7 x 10² is the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation.
To find the quotient of these two numbers in scientific notation, you divide the two significant figures and then subtract the exponents of 10. The calculation would be as follows:
(1.155 x 10⁵) / (1.65 x 10²)
Dividing the significant figures:
1.155 / 1.65
= 0.7
Subtracting the exponents:
5 - 2 = 3
So, the quotient in scientific notation is approximately:
0.7 x 10³
Which can also be written as:
7 x 10²
Hence, the quotient of 1.155 x 10⁵ and 1.65 x 10² expressed in scientific
notation is 7 x 10².
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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
Answers
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.
Learn more about the equation here,
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W/11+10=10 w/11=0. W=
Answers
Answer:
w/11+10=10w/11=0•w=10
An electrician cuts 28 feet piece wire into two pieces one piece is 4 feet longer than the other how long are the pieces
!!!!5 step plan!!!!!
Answers
Answer:
12 and 16
Step-by-step explanation:
Turn it into algebra.
Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.
So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.
Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.
Then you substitute 12 where x has been substituted for the pieces.
One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.
To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.
Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet
Answers
Answer:
it will take 3 hours For them to cover 60 miles and meet
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
Please help help and thank you
Answers
Answer:
The first option you have selected should be correct. if any doubt comment.
28. Overhead Projectors Your teacher draws a circle on an overhead projector.
The projector then displays an enlargement of the circle on the wall. The circle
drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet.
What is the scale factor of the enlargement?
a
Answers
A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:
scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]
In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.
Thus;
diameter of circle = 2 * 3
= 6 inches
But;
1 feet = 12 inches
So that;
x = 6 inches
⇒ x = [tex]\frac{6}{12}[/tex]
= [tex]\frac{1}{2}[/tex]
x = 0.5 feet
Thus, the diameter of the circle is 0.5 feet.
So that;
scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]
= 0.125
scale factor = [tex]\frac{1}{8}[/tex]
The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].
For more on scale factor, visit: https://brainly.com/question/10253650
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Answers
a car travels 30m in 2 minutes whats the speed
Answers
Answer:
15
Step-by-step explanation:
speed is distance over time so its 30 devided by 2
Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB
Answers
Answer:
In attachment I have answered this problem.↑↑
Hope this helps.
If you have any doubt, then you can ask me in the comments.
simplify this addition x+(-x)+r
Answers
Pg 118 #11 - 13, 15, 16
Answers
We can't get the answer if there's no problem?
Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?
Answers
Answer:
5 more treats
Step-by-step explanation:
The total number of treats if she gives each person 4 treats is
. 37 people * 4 treats = 148 treats
Subtract 143 (number of treats she has) from 148 (total number of treats to give out)
. 148 treats - 143 treats = 5 treats
143 treats
37 patients
to find:how many treats will she need to make in order for each patient to receive 4 treats.
solution:[tex]4 \times 37[/tex]
[tex] = 148[/tex]
[tex] = 148 - 143[/tex]
[tex] = 5[/tex]
therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats
answer= option D
Pls help and explain, will give brainliest!
-5+3 + (-1/6)+ 5/6 in fractions form
Answers
Answer:
Step-by-step explanation:
-5+3 + (-1/6)+ 5/6
-2 - 1/6 + 5/6
-2 + 4/6 (do this boring math)
Answer:
[tex]-1\frac{1}{3}[/tex] aka [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
-5+3+(-1/6)+ 5/6
Ok soo -5+3 is -2 So then
-2-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]
-2+(-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex])
-[tex]\frac{1}{6}[/tex]+[tex]\frac{5}{6}[/tex]=[tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
-2+[tex]\frac{2}{3}[/tex]=-1[tex]\frac{1}{3}[/tex]
You have already saved $75 dollars for a new TV. You are
week from now on. Write an equation to model the amount of your savings.
If the TV costs $250, how many weeks will you need to save?
Answers
You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger
!!!!!!!!5 step plan please!!!!!!!!
Answers
$28/4hamburgers=$7
find the percentage change of 20 to 25
Answers
Answer:
Percentage change should be 25%
Step-by-step explanation:
25 - 20
---------- x 100%
20
5
---- x 100% = 25% increase
20
25 percent increase
can we represent any number on number line
Answers
Answer:
Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.
Step-by-step explanation:
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.
What is the equation of this line in slope intercept form? -x- 5y = 10
A) y= -1/5x-2
B) y= -1/5x + 10
C) y= 1/5x + 10
D) y= 5x - 2
NO FILES NO LINKS PLEASE
Answers
Answer:
D 22ilsjjssiksksksksksksks
Step-by-step explanation:
212
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answers
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
question:To make a certain shade of paint, Anya mixed 2/3 cups of white paint with 2 2/3 cups of blue paint
How many cups of blue paint should she mix with 3 cups of white paint to make the same shade?
Answers
Step-by-step explanation:
2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.
so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.
therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).
so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.