Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answers
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
https://brainly.com/question/11624077
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Related Questions
Blake must choose between two job offer. Evergreen Landscape will pay him $9.75 hours to mow lawns, but its is a long way from his house. He would probably spend $25 per week on gas. Just Jean will pay Blake $6.50 per hour to work as a retail clerk. Since the store is very close to his house, he would probably only spend $5 per week on gas. let x be the number of hours that Blake will work in a week and y be the amount of money he will have end of the week if he does not spend any money expect on gas.
a. Explain how the following two rules reflect the two jobs offer that Blake has.
B. Solve the system of equations in part A. (9.75x - 25 = 6.50x -5) indicates what its tell you about blake job offers and the amount of money he will have at the end of the week.
C. blake plan to work at least 15 hours per week. Which job should he take.
Answers
Answer:
A. The explanation of the rules are;
For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week
For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week
B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours
C. Blake should take the Job at Evergreen Landscape
Step-by-step explanation:
The amount Evergreen Landscape will pay Blake to mow lawn = $9.75
The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25
The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50
The amount Blake would spend to work per week on gas for work at Just Jean = $5
Whereby, x = The number of hours that Blake will work in a week
y = The amount of money he will have end of the week, if he does not spend any money except gas
A. The given rules are;
y = 9.75·x - 25
y = 6.50·x - 5
For the job offer for the Evergreen Landscape, we have;
y = 9.75·x - 25
Blake has to put aside $25 out of his weekly earnings for gas
Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas
For the job offer for the Just Jean, we have;
y = 6.50·x - 5
Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas
B. The common solution of the both equations is given by equating both values of y as follows;
9.75·x - 25 = 6.50·x - 5
9.75·x - 6.50·x = 25 - 5
3.25·x = 20
x = 20/3.25 = 6.15385
x = 6.15385
The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours
C. Given that the number of hours Blake can work each week = 15 hours, we have;
For the job offer for the Evergreen Landscape, we have;
y = 9.75 × 15 - 25 = 121.25
The amount of money he will have end of the week = y = $121.5
y = 6.50 × 15 - 5 = 92.5
The amount of money he will have end of the week = y = $92.5
Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.
Alex made 3/5 of a batch of cookies in 3/10 of an hour. How much time will it take him to make 1 full batch of cookies?
Answers
Answer:
[tex]\frac{1}{2}[/tex]h
Step-by-step explanation:
Let the total batch of cookies be x.
[tex]\frac{3}{5}[/tex]x = [tex]\frac{3}{10}[/tex]h
[tex]\frac{5}{5}[/tex]x = [tex]\frac{5}{3}[/tex] × [tex]\frac{3}{10}[/tex]h
x = [tex]\frac{15}{30}[/tex]h
x = [tex]\frac{1}{2}[/tex]h
i need to know the solution of 4(x+3)-4=81/2x+1
Answers
Answer:
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]
Step-by-step explanation:
4(x+3)-4 = 81/2x +1
Add 4 to both sides
4(x+3) = 81/2x +5
Multiply both sides by 2x (This removes the division from the second half)
8x(x+3) = 81 +10x
Simplify
[tex]8x^{2}[/tex]+24x = 81 +10x
Subtract 10x from both sides
[tex]8x^{2}[/tex] +14x = 81
Subract 81 from both sides
[tex]8x^{2}[/tex] +14x -81 = 0
Solve using the quadratic formula
[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]
a= 8, b= 14, c= -81
[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]
Simplify
[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]
[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]
Simplified Solution
[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]
And
[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]
I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.
K is the midpoint of VW.
If KV = 3x and KW = 5x-10, what is VW?
22.5
15
7.5
30
Answers
Answer:
15
Step-by-step explanation:
just took the test. x=5 and the answer to the equation is 15
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Answers
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
PLEASE HELP ME I DONT UNDERSTAND
Answers
Answer:
i got 8.944272
Step-by-step explanation:
might be wrong because i havent done a probelm like this in a long time
but i used the distance formula between the 2 plotted points.
Is the following relation a function?
Relation:
Х Y
6 8
5 1
6 6
2 4
The domain:
{2,5,6}
The range:
{1,4,6,8}
Answers
Answer: No
Step-by-step explanation:
The domain consists of the numbers 6, 5, 6, 2
6 is repeated twice
The criteria for a function is that there are no repeating numbers in the domain
This does not follow the criteria, therefore this is not a function
Answer-No
What are sets and how can they be represented ?
Answers
For example, if Set A consists of the numbers 2, 4, 6, and 8, we may say: A = {2, 4, 6, 8}.
Which point is located at (4, 1)?
A
B
C
D
Answers
Answer:
A is located at (4,1)
Step-by-step explanation:
The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).
Hope this helps! ;)
Final Answer: Point A
Steps/Reasons/Explanation:
Question: Which point is located at [tex](4, 1)[/tex]?
The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.
For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.
For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.
~I hope I helped you :)~
A carpenter cut a 6 ½-ft. board into 3/4-ft. sections. What is the number of whole sections he cut?
Answers
Answer:
8
Step-by-step explanation:
This man is cutting 6.5 ft of wood into pieces that are .75 ft long.
Divide 6.5/.75 and there's ur answer chief
Help! (;´༎ຶٹ༎ຶ`)
Considere el patrón de cuadrados que se muestra a continuación:
Qué tipo de modelo, lineal o exponencial deberi sarse para determinar cuántos cuadrados hav
en el patrón n-ésimo (enesimo ? Explique respuesta
Consider the pattern of squares shown below:
What type of model, linear or exponential, should be used to determine how many squares are in the n esimo pattern? Explain your answer.
Answers
Answer:
que tembe frendeas tete.... thes i was 608 i deas fedas decde
step-by-step explanation:
jk i dont speak spanish
what isvequivalent to y=23x−6?
Answers
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
What is the equation of the line through the origin and (-4,-9)?
OA. y= 9x
O B. y=
OC. y= 4x
OD.y
Answers
Answer:D
Step-by-step explanation:
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
Which lengths make sense for possible values of b? Check all that apply.
–2 in.
0 in.
0.5 in.
2 in.
7.9 in.
Answers
Answer:
0.5 in, 2 in
Step-by-step explanation:
It cannot be a negative number, so -2 is out.If we use Pythagorean's theorem ([tex]a^2+b^2=c^2[/tex]), we know that only 0.5 and 2 are correct values of b.On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answers
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
When a racer glides off a cliff, they can travel 75.2 feet. How far would the racer travel if they go over 3 cliffs?
Answers
Answer:
225.6 feet
Step-by-step explanation:
It should be pretty simple, you need to multiply 75.2 times 3. In result your answer is 225.6 feet or rather more simply (225 feet 7 13/64 inches.)
What is sink?
HELP ASAP 20 POINTS
Answers
plzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Exact rule : 77
Approximate rule : 80
Step-by-step explanation:
I really need help with this
Answers
I have to draw the graph this time so if someone can show me the graph what it would look like on a piece of paper or draw it for me I will give you triple the points but if you don’t know it don’t type I’ll I’ll have to report you!!!
Answers
Answer:
Hope this helps! :D
2 2/9 +1 4/9 please help
Answers
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
Jeff can walk 3 laps in 8 minutes. At this pace, how many full laps can he walk in 20 minutes?
Answers
Answer:
7 full laps
Step-by-step explanation:
let x= how many laps
[tex]\frac{3}{8} =\frac{x}{20}[/tex]
cross multiply
60=8x
60/8=x
7.5=x
7 full laps (because 0.5 is half a lap)
Answer:
7 full laps
let x= how many laps
cross multiply
60=8x
60/8=x
7.5=x
7 full laps (because 0.5 is half a lap)
Step-by-step explanation:
A student earns $11.75 per hour for gardening. if she worked 21 hours this month, then how much did she earn? show work
Answers
Answer:
$246.75
Step-by-step explanation:
A student earns $11.75 for 1 hour
If she works for 21 hours this month then the total amount earned can be calculated as follows
= 11.75 × 21
= 246.75
Hence the total amount earned this month is $246.75
Haley brought 4 boxes of candy canes at the santa store if each box of candy canes cost $2.65 and she paid with a twenty dollar bill how much change should get back
Answers
Answer: $9.04
Step-by-step explanation:
one box is $2.65 and $2.65x4=$10.09 and if there is a $20.00 then $20.00-$10.09=$9.04. :P
In the following table, y is a function of x. True or false: The table below represents a function.
Answers
Bc when you divide y/x it equal different unit rates
Help due in 10 minutes!!
Answers
Answer:
A its like right there in the chart
Step-by-step explanation:
hope this helped
Find the slope of the line passing through the points
(-3. 7) and (2. -6).
Answers
Answer:
( 3 , 7 )
Step-by-step explanation:
maybe this will help you
A driver travels 208 miles in 4 hours. what is the driver's speen,in miles per hour ?
___miles per hour
Answers
Answer:
52
Step-by-step explanation:
miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52
Answer:
Hi there,
52 miles/hr
Step-by-step explanation:
we just divide 208 by 4
help me please im dumb
Answers
Answer:
I believe the answer is true.
Step-by-step explanation:
Parentheses are the first operation in PEMDAS but when there is brackets I was always told to do what was inside them first. Hope this helps <3
Answer:
its true.
because BEDMAS.
^
|
B( bracket )
Solve the following inequality:
55 – 5q > 4(7–9).
Answers
Step-by-step explanation:
55 – 5q > 4(7–9)
4(-2)
55- 5q > -8
-5q > -63
q=12.6