Part (A)
Answers:
Independent Variable = x = number of hours
Dependent Variable = f(x) = total cost in dollars
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Explanation:
The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.
On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).
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Part (B)
Answer:
f(x) = 20x + 25
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Explanation:
The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").
On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.
So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25
As a check, plugging x = 0 should lead to f(x) = 25
Plugging x = 1 should lead to f(x) = 20+25 = 45
And so on.
I need help
Peter is replacing five broken sections of the picket fence around his house. The length of each section is between 7 and 9 feet, and the height of each section is between 3 and 5 feet. Peter estimates the area of the five sections that need to be replaced to be 200 square feet. Is this a reasonable estimate?
g(x) = 3x + 1
f(x) = 2x - 5
Find g (f (x))
Answer:
g(f(x)) = 6x - 14
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function CompositionStep-by-step explanation:
Step 1: Define
g(x) = 3x + 1
f(x) = 2x - 5
Step 2: Find
Substitute: g(f(x)) = 3(2x - 5) + 1Distribute 3: g(f(x)) = 6x - 15 + 1Combine like terms: g(f(x)) = 6x - 14What is the equation of the line that passes through the point (2,−1) and has a slope of 3/2
Answer:
y=3/2x-4
This is the answer.
Given :-
A line having a slope of 3/2 passes through (2,-1) .
To Find :-
The equation of the line .
Answer :-
According to the question ,
m = 3/2
Point = (2,-1)
We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )
Substitute ,
y - (-1) = 3/2 ( x - 2 )
y + 1 = 3/2x - 3/2*2
y +1 = 3/2x - 3
2( y +1) = 3/2x *2 - 3*2
2y + 2 = 3x - 6
3x -2y -8 = 0
What is the solution to the equation 13.7y = 6.2y + 30?
Answer:
it's 4
Step-by-step explanation:
Y = 4
13.7 - 6.2y = 30
7.5 = 30
y = 30
7.5
y = 4
A charity marathon in Keller is 26.2 miles. There are approximately 1.61 kilometers in 1 mile. Which measurement is closest to the numbers of kilometers in the charity marathon?
Answer:
42.182km
Step-by-step explanation:
From the question, we know :
There are approximately 1.61 kilometers in 1 mile.
A charity marathon in Keller is 26.2 miles.
The measurement that is closest to the numbers of kilometers in the charity marathon is:
1 mile = 1.61 km
26.2 mile = x km
Cross Multiply
1 mile × x km = 26.2 mile × 1.61 km
= 42.182 km
The number of kilometers in the charity marathon is 42.182km
help fast it's timed
you can buy 5 cans for green beans at the village market for $2.40. You can buy 10 of the same.m cans of beans at Sam’s club for $5.50. Which place is the better buy
Answer:
Village
Step-by-step explanation:
2*2.4=4.8<5.5
Answer: the first one the village market
Step-by-step explanation:
if you were to divided $2.40 by 5 it would equal $ .48 on the other hand $5.50 divided by 10 would equal $.55 thats why the village market choice is better because it is $.48 per can.
Which of the following best describes the slope of the line below?
D
A. Positive
o O
B. Negative
C. Zero
D. Undefined
Answer:
B. Negative.
Step-by-step explanation:
Answer:
Step-by-step explanation:
B
need help with 6 dont know it
Answer:
It should be 42.25 instead
Step-by-step explanation:
can u help mee solve for P
[tex]p - 8 - \frac{2}{5} p = 16[/tex]
what is the area of a rectangle 2m long and 40cm wide
Answer:
8000 cm^2 or 8 m^2
Step-by-step explanation:
We can convert 2 meters to centimeters, simply by multiplying the ,meters value by 100. So, the converted dimensions of the rectangle are 200 cm by 40 cm. Multiplying to get the area, we have 8000 cm^2. This could also be expressed in terms of m^2 as 8 m^2.
(50 POINTS HELP GIVING BRAINLIEST) In which pair do both decimals represent rational numbers
Answer:
C im pretty sure 7.02 and 0.34
Step-by-step explanation:
Answer:
A. 0.318 and 0.3444...
Step-by-step explanation:
Rational numbers are numbers that can be expressed as fractions. Rational numbers include finite values and repeating decimals that have a pattern.
Because all of the answer choices include decimals that have no predictable pattern of decimals, A must be correct.
0.318 is rational because it is finite. 0.3444... will continue to add 4 on to the end of the number, meaning it is repeating predictably, and it is rational.
helppppppp please!?
Answer:
first one is obtuse second one is acute
Step-by-step explanation:
..
Most graphs that show results of experimentation are _____ graphs.
can u pls help
Answer
A pie graph shows the percentage that one of the dependent variables makes up out of the whole of all of the results.
Answer: I do not know what they are called but I do believe you use them to analyze your data.
I will just
give brainliest who ever answers first
Answer: What is your question?
Step-by-step explanation:
Answer: An art-supply store sells a pad of watercolor paper after a 78% markup. If the store sells the paper.
Step-by-step explanation:
i know math
BA is 9.6 units long. If BA is dilated by a scale factor of k = 1.6, what is the length of B'A'?
Answer:
15.36
Step-by-step explanation:
i multiplied them
What is 10 ÷ 5 sixths? (aka 5/6ths or 5/6)
Answer:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
10/1÷5/6
Applying the fractions formula for division,
10×6
= --------
1×5
=60/5
Simplifying 60/5, the answer is
=12
Answer:
1.2
Step-by-step explanation:
5/6=8.333
10/8.3333
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
Select all the statements that are true for the graph shown
Answer:
there is nothing to prove
Step-by-step explanation:
Write an equation for a line parallel to
y = 3x - 1 and contains the point (-2, 8).
Answer:
y=3x+14
Step-by-step explanation:
Answer:
y = 3x + 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slop- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (- 2, 8) into the partial equation
8 = - 6 + c ⇒ c = 8 + 6 = 14
y = 3x + 14 ← equation of parallel line
4 divided by 8/9=
2 divided by 5/6=
4 divided by 1/4=
2 divided by 1/4=
3 divided by 1/7=
Which number is the greatest?
Select one:
10/3
7/2
9/4
17/8
Answer:
7/2
Step-by-step explanation:
Firstly lets put them all in common denominators (LCM) 3,2,4 and 8 re all divided by 24.
17/8 x 3/3 = 51/24
7/2 x 12/12 = 84/24
9/4 x 6/6=54/24
10/3 x 8/8= 80/24
Now lets see which one is greatest: 7/2 or 84/24
Hope this helps :D
Answer:
7/2
Step-by-step explanation:
10/3 = 3.333
7/2 = 3.500
9/4 = 2.250
17/8 = 2.125
Please help 6(5m-3)=1/3(24m+12)
rewrite as a sum[tex](2x^2-11)(x^2+2)[/tex]
Answer:
Step-by-step explanation:
(2x^2-11)(x^2+2)
2x^4-7x^2-22
Which term describes the dotted line in the quadrilateral?
Ο Α. .
vertex
OB.
side
O c. diagonal
OD. angle
what’s the equation of the linear function represented by the table in slope intercept form ?
Answer:
y=-5x-1
Step-by-step explanation:
ANSWER ASAP!!!!!!!1 Giving brainliest! Define the following terms:
patroon
proprietary colony
Quakers
frame of government
holy experiment
Answer:
patroon-a person given land and granted certain manorial privileges under the former Dutch governments of New York and New Jersey.
a patroon was a landholder with manorial rights to large tracts of land in the 17th-century Dutch colony of New Netherland on the east coast of North America.
a proprietary colony-A proprietary colony was a type of English colony mostly in North America and in the Caribbean in the 17th century. In the British Empire, all land belonged to the monarch, and it was his/her prerogative to divide.
Quakers-are members of a group with Christian roots that began in England in the 1650s. The formal title of the movement is the Society of Friends of the Religious Society of Friends. There are about 210,000 Quakers across the world. In Britain, there are 17,000 Quakers, and 400 Quaker meetings for worship each week.
Quakers, also called Friends, belong to a historically Christian denomination known formally as the Religious Society of Friends or Friends Church.
the frame of governing-was a proto-constitution for the Province of Pennsylvania, a proprietary colony granted to William Penn by Charles II of England. The Frame of Government has lasting historical importance as an important step in the development of American and world democracy.
holy experiment-was an attempt by the Religious Society of Friends, also known as Quakers, to establish a community for themselves and other persecuted religious minorities in what would become the modern state of Pennsylvania.
really could do with a hand on these two questions! much appreciated
Answer:
1. 3x + 14
2. x^2 - 4x - 12
Step-by-step explanation:
just FOIL it out
Answer:
the first one is 3x+14 and the second one is
[tex] {x}^{2} - 4x - 12[/tex]
I hope that helped(: and btww do you mind helping me as wellll I got homework that's due tomorrow
Gavin plays a soccer video game. He earns 2 stars for every goal he scores and loses 1/2 star every time he misses the goal. He scores 7 goals and misses the goal 6 times.
how many stars does he have?
Answer:
11
Step-by-step explanation:
If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.
The students in Juan's class got to choose between pizza and burgers for the celebration on the last day of school. 25% of the students picked the pizza. If there are 16 students in all at Juan's class, how many students preferred the pizza?
Answer:
4 studentsStep-by-step explanation:
Step one:
given
we are told that the total number of students is =16
so 25% of these students preferred pizza
Firstly, we want to know what 25% of 16 will be
so
=25/100*16
=0.25*16
=4
This means that only 4 students preferred pizza