Answer:
y = 42x + 75
Step-by-step explanation:
Using the equation of a line in the form
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁) = m where m is the slope of the line
Let x be the number of hours the electrician works in a single visit, and let y be the total amount, in dollars, that the electrician charged for the visit.
Since the electrician worked 2.5 hours and charged $180 for the first visit. The second time he worked 4 hours and charged $243. where x₁ = 2.5 hours, y₁ = $ 180, x₂ = 4 hours and y₂ = $ 243
We find the slope of the line, m
m = (243 - 180)/(4 - 2.5) = (243 - 180)/(4 - 2.5) = 63/1.5 = 42
Since m = (y - y₁)/(x - x₁) ,
42 = (y - 180)/(x - 2.5)
cross-multiplying, we have
42(x - 2.5) = (y - 180)
expanding the bracket, we have
42x - 105 = y - 180
adding 180 to both sides, we have
42x - 105 + 180 = y - 180 + 180
42x + 75 = y
y = 42x + 75
The linear equation that relates the total cost to the time worked is:
[tex]y = 42x + 75[/tex]
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, the function has two points: (2.5, 180) and (4, 243).
The slope is given by change in y divided by change in x, hence:
[tex]m = \frac{243 - 180}{4 - 2.5} = 42[/tex]
Then:
[tex]y = 42x + b[/tex]
Considering point (2.5, 180), we have that when x = 2.5, y = 180, which is used to find b.
[tex]y = 42x + b[/tex]
[tex]180 = 42(2.5) + b[/tex]
[tex]b = 75[/tex]
Hence, the function is:
[tex]y = 42x + 75[/tex]
More can be learned about linear equations at https://brainly.com/question/24808124
Find the measure of Arc VF.
Answer:
120
Step-by-step explanation:
i did it
A bookmark has an area of 14 square centimeters and a perimeter of 18 centimeters. What are the dimensions of the bookmark?
Answer:
2 x 7
Step-by-step explanation:
a * b = 14
2a + 2b = 18
(a * b)/b = 14/b Dividing both sides by b
a = 14/b
Substitute a in the perimeter equation
2(14/b) + 2b = 18
28/b + 2b = 18
2b - 18 + 28/b = 0
Multiply both sides by b
2b^2 - 18b + 28 = 0
Divide both sides by two
b^2 - 9b + 14 = 0
The Factors of 14 include -2 and -7 which add up to -9
(b - 2) * (b - 7) = 0
This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.
2 x 7
What is the length of side d?
A. 5 centimeters
B. 8 centimeters
C. 12 centimeters
D. 25 centimeters
HELP
2. Find the unit rate demonstrated in the graph
below.
A. 9 miles per hour
B. 4.5 miles per hour
C. 3 miles per hour
D. 1.5 miles per hour
The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.
What is the rate?The rate is the proportion of how much something is to the unit. For instance - Assuming that the speed of the vehicle is 20 km/h it implies the vehicle voyages 20 km in 60 minutes.
The incline is the proportion of rising or falling and running. The contrast between the ordinate is called rise or fall and the distinction between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, take two points from the graph which are (0, 0) and (27, 6).
Then the unit rate demonstrated in the graph will be given as,
Rate = (27 - 0) / (6 - 0)
Rate = 27 / 6
Rate = 4.5 miles per hour
The unit rate of demonstrated in the graph will be 4.5 miles per hour. Then the correct option is B.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Write the answer as a basic numeral.
(3.5x103) (2.2 x 104) =
Step-by-step explanation:
[tex]\tt{}(3.5 \times 103)(2.2 \times 104)[/tex]
[tex]\tt{}(360.5)(228.8)[/tex]
[tex]\tt{}360.5 \times 228.8[/tex]
[tex]\tt{}82482.4[/tex]
in the figure below, lines m and n are parallel. What is the value of x?
Answer:
x = 51
Step-by-step explanation:
It looks like alt int. angles (correct me if im wrong)
3x - 40 = 2x + 11
x = 51
Patricia buys a round dinner table. The radius of the dinner table is 6 meters.
What is the area of the table?
Answer:
113.04
π×6^2 is the solution of this
Answer:
area = 113.1 m²
Step-by-step explanation:
area = PiR²
area = (Pi)(6²) = 113.1 m²
Drag the correct number of pieces to show how to find the area of the shaded figure in two different ways. Pieces can be rotated to fit.
Answer:
21
Step-by-step explanation:
Remark
Draw a line across the east and west farthest points. If you count the lower left point as 0,0, I am talking about 1,6 and 7,6 What that does is divide the figure into a triangle and a trapezoid.
Triangle
The base goes from x = 1 to x = 7 when that new line is introduced which is 6 units parallel to the x axis.
The height goes from 4,4 to 4,6 which is 2 units in the y direction.
So the area = 1/2 (2)*(6) = 6 units.
Trapezoid.
h = 3 derived from 4,3 to 4,6 which is 3 points 6 - 3 = 3
b1 = 6 That's the line you just drew in.
b2 = 4 That comes from 2,3 to 6,3 6-2 = 4
Area = 1/2 (b1 + b2) * h
Area = 1/2 (6 + 4)* 3
Area = 5 * 3 = 15
Total Area = 15 + 6 = 21
write and solve an equation to find the value of X
Answer:
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dude sombody pleasee help me nobody is taking it seriously:(
Answer:
(9, 5) or (0, 14)
Step-by-step explanation:
4+2+3+2=9
a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?
Here's link to the answer:
tinyurl.com/wpazsebu
can 4x+35 be factored? yes or no
Answer:
no it is not able to be factored
Why does -2^6 equal -64 but -2 x -2 x -2 x -2 x -2 x -2 equal 64?
(The x's are multiplication)
Answer:
when there are no parentheses around the base, this being -2 we put parentheses around the the 2 and the exponent so it will look like -(2^6) making whatever answer you get negative.
when you put parentheses around the base (-2)^6 you will get 64
Step-by-step explanation:
Step-by-step explanation:
One hundred and twenty-two AFLP markers were mapped using an IR64 x Azucena rice doubled-haploid (DH) population. The distribution of these mapped markers was monitored across a set of 48 diverse landraces of rice. Strong statistical associations were observed between 960 of the 7381 possible pairs of markers across the diverse material.
i need help with this
Answer:
d=13
Step-by-step explanation:
step 1) combine like terms
8d-3d-12=53
5d-12=53
isolate d
5d-12+12=53+12
5d=65
d=13
4th time posting this, please help.. I'll give brainliest. (No bots)
#46: B
#47: J
#48: C
#49: G
Tom and his family went to a restaurant for dinner the bill came to $80 they wanted to leave an %18 tip about how much tip should they leave?
pls help
Answer:
$80+18%= $94.4
Step-by-step explanation:
80:100×18= $14.4 (18% of 80)
$80+14.4 = $94.4
Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?
Answer:
1/4
Step-by-step explanation:
If there are two pies and eight friends, then 4 friends split each pie. I know this because if you divide eight by two (because there are 8 friends and 2 pies) then you get 4, which means then 4 friends split each pie. You would then figure out how many slices you need to split each pie into. Since there are 4 people per pie, you would split each pie into 4 sections. Each friend would get 1/4 of a pie.
I hope this makes sense to you. If you need any more help, please let me know. I'm always happy to help! :]
Data that's displayed randomly on a scatter plot graph illustrates
positive correlation.
negative correlation.
none of these.
no correlation.
ANSWER
NO CORRELATION
For each function shown:
*Name the starting point.
*Explain how y changes as x increases.
Function #1: [tex]y = 0.5 + 3x[/tex]
Function #2: [tex]y = 3(5)^x[/tex]
Answer:
The starting point of
F1 is
[tex](0. \frac{1}{2} )[/tex]
F2 is
[tex](0.3)[/tex]
Y will increase if the x increase in the two equation
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
Please help and right the real answer
Answer:
(-6,-3) would be the answer
Help me with this!!!!
Answer:
IJ = 34
Step-by-step explanation:
Since HK = JK, then IK is a perpendicular bisector and Δ is isosceles, then
IJ = HI , that is
2s = s + 17 ( subtract s from both sides )
s = 17
Then
IJ = 2s = 2 × 17 = 34
y= -2x – 6
2x + y = 5
Answer:
x answers -7/2
Step-by-step explanation:
just use a algebra calculator
12 = x +24/8
I really need help with this
Answer:
x = 9
Step-by-step explanation:
24 divided by 8 is equal to 3.
12 = x + 3 (subtract three from both sides)
9 = x
What is:
(s+12)+(3s-8)
simplified?
Answer:
4s+4
Step-by-step explanation:
I hoped this helped :)
Suppose the population of a city is 10,460 in 2006. The population increases at a rate of 5% annually. Approximately how many years
will it take for the population to double?
A. 13.8 years
B. 14.2 years
C. 15.1 years
D. 15.5 years
The base of a pyramid has n sides.
Write an expression for the number of faces of the pyramid.
Answer:
n+1
Step-by-step explanation:
Imagine a triangle-based pyramid. The base has 3 sides. In total you have 4 faces: the base, and the three triangles extending form the base. Therefore, n+1 faces.
Find the sale price to the nearest cent.
5. The sale price of a video game that has been
discounted 40% is $15.48. What was the original
price of the video game?
What is the CORRECT answer?
Answer:
Step-by-step explanation:
Givens
r = 5
h = 30
Formula
SA = 2*pi*r^2 + 2pi*r*h
Solution
SA = 2*3.14 *5^2 + 2*3.14 * 5* 30
SA = 50*3.14 + 300*3.14
SA = 157 + 942
SA = 1099 square inches.
2(x - 1)(x + 1) = 5x
Answer:
x = sqrt 5x - 2/2
Step-by-step explanation:
2(x-1)(x+1) = 5x
2(x^2 - 1) = 5x
2x^2 - 2 = 5x
2x^2 = 5x - 2
2x = sqrt 5x - 2
x = sqrt 5x - 2/2
what is the vertex of the quadratic function below y=1/2 x^2 +x+3
Answer: the vertex is 1,7/2
Step-by-step explanation: this is the answer because first you label the first one a the second one b and the last one c then if you find the axis of symmetry by doing [tex]\frac{-b}{2(a)\\}[/tex] you will have your x for the vertex then plug in your x into the equation where ever there is a x tat where you plug it in then you will have the right answer... I hoped this help