Given:
The function in the form of set of points is
[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]
To find:
(a) The inverse of function s.
(b) whether the inverse of function s is a function?
Solution:
(a)
If a function is [tex]f:\{(a,b),a,b\in R\}[/tex], then its inverse function is
[tex]f^{-1}:\{(b,a),a,b\in R\}[/tex]
We have,
[tex]s:\{(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)\}[/tex]
So, inverse of this function is
[tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex]
Therefore, the inverse of function s is [tex]s^{-1}:\{(3,4),(3,5),(6,8),(6,9),(9,12),(9,13)\}[/tex].
(b)
A set of point is a function if there exist unique output for each input.
In inverse of s, we have two output values y=4 and y=5 for single input x=3.
Therefore, the inverse of function s is not a function.
Can someone help me?
9514 1404 393
Answer:
yes
Step-by-step explanation:
There are at least a couple of ways to show congruence.
1. ∠P ≅ ∠Q . . . given; PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; ΔPRB ≅ ΔQSB by ASA
__
2. PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; BR ≅ BS . . . given; ΔPRB ≅ ΔQSB by SAS
What number must be added to the expression below to complete the square x^2+16x=3
Answer:
Step-by-step explanation:
You need to move the 3 over to the left to make standard form.
x^2+16x-3=0 answer by completing the square
x= ± √67 -8
Step-by-step explanation:x
2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Tap for more steps...
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x+ 8 ) 2 = 67
Solve the equation for x .
Tap for fewer steps...
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √67 − 8 x 2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x+ 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Tap for more steps...
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x + 8 ) 2 = 67
Solve the equation for x .
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √ 67 − 8
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
x 2 + 16 x = 3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b .
( b 2 ) 2 = ( 8 ) 2
Add the term to each side of the equation.
x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2
Simplify the equation.
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + ( 8 ) 2
Simplify 3 + ( 8 ) 2 .
Raise
8
to the power of 2 .
x 2 + 16 x + 64 = 3 + 64
Add
3
and 64 .
x 2 + 16 x + 64 = 67
Factor the perfect trinomial square into ( x + 8 ) 2 .
( x + 8 ) 2 = 67
Solve the equation for x .
Take the square root of each side of the equation to set up the solution for x .
( x + 8 ) 2 ⋅ 1 2 = ± √ 67
Remove the perfect root factor
x + 8
under the radical to solve for x .
x + 8 = ± √ 67
Remove parentheses.
x + 8 = ± √ 67
Subtract
8
from both sides of the equation.
x = ± √ 67 − 8
The result can be shown in multiple forms.
Exact Form:
x = ± √ 67 − 8
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
Decimal Form:
x = 0.18535277 … , − 16.18535277 …
The temperature at 8 a.m. is 3.3 °C. At 4 p.m., the temperature is 7.22 °C.
What is the change in temperature from 8 a.m. to 4 p.m.?
Answer:
i believe its 3.92°C
Step-by-step explanation:
all I did was subtract the two numbers
Someone pls help:)
Find the equivalent expressions for (x+7) (x+1)
Answer:
(x-4)^2 -9
x^2+8x+7
x(x+8)+7
Step-by-step explanation:
(x+7) (x+1)
distributive property
x^2+ x+7x+7
combine like terms
x^2 +8x+ 7
Then solve each expression to find the one equivalent to x^2 + 8x+ 7
x=-7 and x+-1
find the area and perimeter
Answer:10+5=15 8+8= 16. 15+16=31
Step-by-step explanation:
31
A 0.450 L sample of nitrogen gas is collected under a pressure of 2.30 atm and a temperature of 60.0 degrees Celsius. The sample is transferred to a 0.600 L container and the pressure drops to 1.54 atm. What is the new temperature of this gas (in K)?
Answer:
326.56KStep-by-step explanation:
Step one:
Given
V1=0.45L
P1=2.3atm
T1=60 °
V2=0.6L
P2=1.54atm
T2=?
Step two:
Required:
T2
Applying the partial gas formula
[tex]\frac{P1V1}{T1}=\frac{P2V2}{T2}[/tex]
[tex]\frac{2.3*0.45}{60}=\frac{1.54*0.6}{T2}[/tex]
cross multiply we have
T2=(1.54*0.6*60)/2.3*0.45
T2=55.44/1.035
T2=53.56 °
in kelvin, we need to add 273
=273+53.56=326.56K
T2=326.56K
The new temperature of this gas (in K) is 326.56K
What is the value of x in the question 1/2(x+6)=18
Answer: x= 30
Step-by-step explanation:
Simplify both sides of the equation. 12(x+6)=18(12)(x)+(12)(6)=18(Distribute) 1x+3=18
Step 2: Subtract 3 from both sides. 12 x+3−3=18−312 x=15
Step 3: Multiply both sides by 2. 2*(12x)=(2)*(15)
x=30
Answer:
x=30
Mark Brainliest if you found this helpful!
If a car can travel 300 miles with
12 gallons of gas, what is the rate in miles per gallon?
y- 22= 89
y-22 + __ = 89 +22
y= __
Answer:
Step-by-step explanation:
57
Answer:
The answer will be 57
hope this helps
In the ASA Congruence Postulate, the side between the angles is called the ___ side.
1. 4 2/3 x 4/5
2. 8⋅2−7−5
3. 7(6+8)−4
4. 10−2+(6⋅2−4)
20 POINTS+ BRAINLIEST IF YOU ANSWER MORE THAN 1 ! ! ! ! ! !
Three boys are in a field flying kites. Viewed from above, the angle at Kyle, , measures 45 degrees , and the angle at Jake, J, measures 65 degrees
Answer: LJ, JK, KL
Step-by-step explanation:
1) Write an equation in slope-intercept form for this graph. Do not use spaces or capital letters in your equation. Please use fractions and not decimals. Fractions can be placed in parentheses.* 5 4 3 2 1 0 -5-4-3-2-1, 1 2 3 4 5 2 3 4
Answer:
i just need points sorry bro
Step-by-step explanation:
factor: 2x^2 + 5x + 3
2x²+5x+3=0
2x²+2x+3x+3=0
2x(x+1)+3(x+1)=0
(x+1)(2x+3)=0
x=-1,-3/2
What shape is this I need help
Answer:
the cone or the square or the whole thing?
Step-by-step explanation:
Change 5x+1=4y+7 to slope intercept form ( y=mx+b)
Answer:
Step-by-step explanation:
5x + 1 = 4y + 7
5x - 4y = 7 - 1
-4y = -5x + 6
-4y/-4 = -5x/-4 + 6/-4
y = 5/4x - 6/4
y = 5/4x - 3/2
Answer:
Work shown below!
Step-by-step explanation:
5x + 1 = 4y + 7 to y = mx + b
5x + 1 = 4y + 7
Subtract 7 from both sides;
5x - 6 = 4y OR 4y = 5x - 6
4y = 5x - 6
Divide both sides by 4;
[tex]y=\frac{5}{4}x-\frac{6}{4} \\\\y=\frac{5}{4}x- \frac{3}{2}[/tex]
GIVING BRAINLYYY
for the function {(0,1), (1,-3), (2,-4), (-4,1)} , write the domain and range
Answer:
Step-by-step explanation:
Domain: {0, 1, 2, - 4}
Range: {1 , - 3, - 4}
Need a quick answer please
Answer:
48 inches
Step-by-step explanation:
16×3=48
always include units if you can
but since this is canvas, it probably doesn't even matter
Answer:
48 inches !
Step-by-step explanation:
got 100!!.......
3. What is the image of (-6,5) after a reflection over the y-axis?
Marisol is given the following three lengths of a possible triangle: 1, 2 and 7. Would these side lengths form a triangle?
Yes, because 1 + 2 > 7, 2 + 7 > 1 and 7 + 1 > 2.
Yes, because 1 + 2 1 and 7 + 1 is greater than 2.
No, because 1 + 2 < 7 and in order for side lengths to meet the Triangle Inequality Theorem, any two side lengths must be greater than the third side when added together.
Answer:
no because 1+2<7. To form a triangle any two lengths have to be greater than third one
please help me i have a limited amount of time
Answer:
A
Step-by-step explanation:
Answer:
y= 1/2x+2
Step-by-step explanation:
the rise over run
rise 1 over the run of 2 saying slope of 1/2
and the y intercept is at 2
combind y= 1/2x+2
When Piper was a puppy,
she weighed 6 pounds.
As a full-grown Great
Dane, she know weighs
154 pounds. Determine
the percent increase
in Piper's weight.
-3x + 5 = -4x - 10 solution??? ill give brainlist
Answer:
x=-10
Step-by-step explanation:
hope this helps, sorry if i get wrong
DO NOT PICK ANSWER IT IS WRONG.
Answer:
x=-15
Step-by-step explanation:
-3x+5=-4x-10
x+5=-10 Add 4x on both sides
x=-15 subtract 5 on both sides
Hope this helps plz mark brainliest if correct :D
Find the slope of the graph given below
Find the area of the shape shown below.
Step-by-step explanation:
There are 4 shapes shown in figure i.e Rectangle, Triangle two times and a square .
Dimensions of rectangle length = 9
Breadth = 5
Square = 2
Find the measure of triangle's third side in both .
Find area of all figures then add .
Answer:
42.5 unit²
Step-by-step explanation:
[tex]A_{1}[/tex] = 9 × 3.5 = 31.5
[tex]A_{2}[/tex] = [tex]\frac{2*2}{2}[/tex] = 2
[tex]A_{3}[/tex] = 2² = 4
[tex]A_{4}[/tex] = [tex]\frac{2*5}{2}[/tex] = 5
[tex]A_{1}[/tex] + [tex]A_{2}[/tex] + [tex]A_{3}[/tex] + [tex]A_{4}[/tex] = 42.5 unit²
The Epic of Gilgamesh is the world’s oldest known
A. written law code
B. cuneiform writing
C. example of literature
D. hieroglyphics
Answer:
I know its not cuneiform but i think its hieroglyphics
Step-by-step explanation:
URGENT: What are the two mistakes in this problem?
Answer: "...
Step-by-step explanation:
jose bought a magazine for 3.78 and some lightbulbs for 4.78 each. he spent a total of 37.19. how many lightbulbs did jose buy???? WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
3.78 plus 4.78x=37.19
4.78x=33.41
x=6.98, so 7. he bought 7 light bulbs
.
Evaluate: 0.234 x 102.
23.4
23,400
2.34
234
Answer:
The answer is 23.86 but ya gotta round up to 23.4 so its A
answer please it is needed
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The slope-intercept form :
[tex]y = mx + b[/tex]
Thus :
[tex]y = - 4x + \frac{9}{4} \\ [/tex]
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