Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
y = 50x+25
f(x) = 50x+25
Step-by-step explanation:
Using the slope intercept form of the equation, y = mx+b
where x is the amount per day and b is the flat fee
2 days
125 = 2x+b
5 days
275 = 5x+b
Subtract
275 = 4x+b
125 = 2x+b
---------------------
150 = 3x
Divide by 3
150/3 = 3x/3
50 =x
The cost per day is 50 dollars
y = 50x +b
Using the data for 2 days
125 = 50*2 +b
125 = 100 +b
125-100 = b
b = 25
The equation is y = 50x+25
f(x) = 50x+25
To graph, The x axis is number of days and the y axis is total cost
The number of days starts with 0, which is the y intercept
Let x = 0, y =25
Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)
The next point plotted ins ( 1,50)
Draw a straight line
Answer:
y = 50x+25
f(x) = 50x+25
Which equations match the graph?
5 STARS AND BRAINLYEST
Answer:4
Step-by-step explanation:
[Functions] I just need yes's and no's.......a lot of them, functions just really don't click with me and I don't understand why, they make me mad ;-;
Answer:
uh-
Step-by-step explanation:
Answer:
1.yes 2.no.3.yes.4no.5.yes
Step-by-step explanation:
what is the answer to 6/8 - 3/4?
Answer:
0
Step-by-step explanation:
For common denominator,
6/8 - 3/4 = 6/8 - (3*2)/(4*2) = 6/8 - 6/8 = 0
The ratio of women to men stationed at Ft. Bragg is 25 to 50. If there are 250 women at Ft. Bragg, how many people are there total stationed there?
A. 500
B. 75
C. 750
D. 1000
Answer:
750 total people
Step-by-step explanation:
25 to 50 = 1/2
So: 250 x 2 = 500 men
500 + 250 = 750 total
A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false.
Step-by-step explanation:
The question is incomplete, here is the complete one
A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. The jacket is now 40% off its original price. True or false The jacket now costs $48.00. True or false The jacket is now 72% of its original price. True or false The jacket now costs $43.20. True or false
Step one:
given
original price= $60
discount =20% of 60
discount = 20/100*60
discount = 0.2*60
discount = $12
selling price= 60-12= $48
Added price= 10% off $48
Added price= 10/100 *48
Added price= 0.1 *48
Added price= $4.8
new price= 4.8-48=$43.2
the new price of the jacket is $43.2
1. The jacket is now 40% off its original price
40/100*60=$24-----False
2. The jacket now costs $48.00-----False
3. The jacket is now 72% of its original price= 72/100*60=$43.2----True
4. The jacket now costs $43.20------True
Which equation is equivalent to the equation 3x - 12 = 24?
A) 15x - 60 = 120
B) 3x = 12
C) 3x = 36
D) x - 4 = 8
E) 12x - 12 = 24
Answer:
C
Step-by-step explanation:
To simplify the equation, all you need to do is add 12 to both sides to cancel out the -12.
The equations that are equivalent to the equation 3x - 12 = 24 are
3x = 36
x - 4 = 8
15x - 60 = 120
Options A, C, and D are correct.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: x + 2 = 7 is an equation.
We have,
3x - 12 = 24 ____(1)
From (1)
Adding 12 on both sides.
3x = 24 + 12
3x = 36 ____(2)
From (1)
Dividing 3 into both sides.
x - 4 = 8 ____(3)
From (1)
Multiplying 5 into both sides.
5 (3x - 12) = 5 x 24
15x - 60 = 120 ____(4)
From (2), (3), and (4) we see that,
3x = 36
x - 4 = 8
15x - 60 = 120
Thus,
The equations that are equivalent to the equation 3x - 12 = 24 are
3x = 36
x - 4 = 8
15x - 60 = 120
Options A, C, and D are correct.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
What is the equation in standard form of the line that passes through the points (−2, 33) and (5, −16)? A. 7x − y = 51 A. 7x − y = 51 B. 7x + y = −47 B. 7x + y = −47 C. 7x + y = −14 C. 7x + y = −14 D. 7x + y = 19 D. 7x + y = 19
Answer:
you have to find the unknown before each question. slove the bracket first and then move on
OMG PLEASE HELP!!! NEED WITHIN FEW HOURS!! The diagram shows three circles with radii r=10 cm. The centers also form the vertices of an equilateral triangle.
Answer: 16.205 cm²
It takes some time, but it's not impossible!
Step-by-step explanation:
Find the area of the triangle, then subtract the area of the three sectors.
The three sectors are each 60° so they add to 180° which is equivalent to half the area of one circle.
The area of the triangle is one half base times height. To find the height of the triangle, use the Pythagorean Theorem to get the length of the perpendicular bisector.
a² + b² = c² .
C is the side length, 20cm. (the length of two radii) B is half the side length 10cm. A is the "altitude" or height we need to find.
a² + 10² = 20²
a² + 100 = 400 . a² = 400-100
a² = 300
a = √300 a ≈ 17.3205
Area of triangle: A= bh/2
A = (20 × 173.205)/2
Triangle Total Area ≈ 173.205
To the area of the circle, use the equation A = πr²
A = 3.14 × 10²
A = 3.14 × 100
Circle Total Area = 314 cm².
You could take 1/6 of that, and then multiply by 3, or just take half
Area of sectors= 157 cm²
Triangle Area - Sectors Area = Blue shape Area
173.205 - 157 ≈ 16.205 cm²
Hi, are you still active?
PLEASE HELP ASAP!! I AM PRETYY SURE THE ANSWER IS 10 BUT I NEED THE STEPS
It costs Danny $5 to park his car at a parking meter for 2 hours. What is the
price to park for 1 hour?
Answer:
$2.50
Step-by-step explanation:
Answer:
$2.5
Step-by-step explanation:
Peter says, "If you subtract 13 from my number and multiply the difference by - 4, the result is -100." What is Peter's number?
Peter's number is
Answer:
-38
Step-by-step explanation:
-25 + 13 = -38
-38 - 13 = -25
-25 x 4 = -100
formula: x - 13 = -25
The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
Taira used 3/4 of her flour to make 2/5 of a batch of bannock. How much of her flour would she need to make a whole batch?
Answer:
15/8 or 1.875
Step-by-step explanation:
Let x represent a whole batch of bannock. Taira used 3/4 of her flour to make 2/5 of a whole batch so we can write the equation like this.
3/4=2/5x
Isolate x by multiplying the left side by the reciprocal of 2/5.
15/8=x
Jamie sells used cars. She earns 15% of the selling price of each car thatshe sells. The function y = 0.15x models the amount Jamie earns fromselling x number of cars. What is the most appropriate domain of thefunction?
A.all integers
B.all rational numbers
C.all nonnegative integers
D.all nonnegative rational numbers
Answer:
B. All rational numbers
Graph f(x) = 3[x] + 9
Ok I need help ASAP because my homework is due In 20 minutes and my question is what is 34x(6+12)5x16 please someone answer!!!!
Answer: 3060x17
Step-by-step explanation: because you have to multiply the numbers all of them
Given that the points
(16, -5) and (-40, 16) lie on a line, what is the slope of the line?
A. -3/8
B. -8/3
C. 3/8
D. 8/3
Answer:
The answer is A.
Step-by-step explanation:
y²-y¹/x²-x¹
16-(-5)/(-40)-16
21/-56
= -3/8
-5(8) will give brainlyest
Answer:
-5 x 8 = -40
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
-5x8 = 14
Write and evaluate the expression.Check all that apply. Write the expression as 11 +t2 -6 Write the expression as 11 +2t -6 Write the expression as 11 +StartFraction t Over 2 EndFraction -6 The value when t = 5 is 16. The value when t = 5 is 30. The value when t = 5 is 7.5.
Answer:
7.5Step-by-step explanation:
Given the expression 11 + t/2 - 6, we are the find the output value when t = 5. To do that, we will simply substitute t = 5 into the given expression as shown;
f(t) = 11 + t/2 - 6
f(5) = 11 + 5/2 - 6
f(5) = 11 + 2.5 - 6
f(5) = 13.5 - 6
f(5) = 7.5
Hence the value of the function when t = 5 is 7.5
Answer:
A,E
Step-by-step explanation:
thx person in the comments
got it right btw to
Can someone help me with these two problems?
Answer:
1. In first question I guess the answer will be: last point
There are no mistakes. Answer is correct.
find the measures of angles K, M, P, and R in the figure. Note that the figure may not be drawn to scale.
Answer:
right angle
Step-by-step explanation:
Anyone know how to solve this by Elimination Please and thanks ?
The table below shows pairs of value that satisfy a linear function.
What is the y-intercept of the graph of this function?
Answer:
-27
Step-by-step explanation:
An office space is for rent downtown. The rate is $17 per square foot per
month. The space measures 20 ft x 19 ft. How much will it cost to rent this
space for a year?
A. $6460
B. $73,644
O C. $91,200
D. $77,520
Answer:
$77,520
Step-by-step explanation:
Which equation can be represented by the graph?
Answer:
y+10 = -5(x-3)
Explaination:
Finding the slope intercept form provides you with the line your looking for
here you want to isolate y
y = -5(x-3)-10
and then ditrubute the -5 into the parenthesis
y = -5+15-10
Combine like terms
y = -5x +5
and by looking at this in terms on y=mx+b
the line will intercept the y-axis at (5,0) like the line above shows
What is the correct rate of change of Bill and Kevin's trip
Titus is asked to prove hexagon FEDCBA is congruent to hexagon
F'E'D'C'B'A' in the graph below. Titus thinks that if he transforms hexagon
FEDCBA by (x,y) - (x + 16. y - 10) he can show the two figures are
congruent. Is he correct? Explain why or why not. If Titus is incorrect, what
series of transformations will correctly prove FEDCBA F'E'D'C'B'A'S
у
6
В.
>E
4
2
с
D
-14 -12 -10 -8
x
-6
4
2
4
6
8
10 12
-20
-2
in
A'
4
E!
-6
В"
-8
lo
c
-10
Is Titus correct? YES NO
Explain why or why not (required)
Answer:
correct
Step-by-step explanation:
he is correct because the transformation is a translation and under the translation the image and preimage are congruent.
the measure of the sides are preserved, and the peasure of the angles are preserved so if all the corsponding sides and angles are congruent the hexagons are congruent too
Answer:
(x, y) -----> ( - x , y - 10 )
Step-by-step explanation:
Titus is not correct.
There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'
First transformation is Reflection over y-axis , then translation 10 units down.
The final formula is ( - x , y - 10 )
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
X = 57*
Step-by-step explanation:
Answer:57 degrees
Step-by-step explanation:
x is congruent to the given angle 57 degrees because of its opposite side positioning on the parallel angles
What’s the answer to 0.462 / 0.2
Answer: 2.31
Step-by-step explanation: 0.462 divided by 0.2 is 2.31. I knew it was going to be over 2 because 0.2 times 2 is 0.4.
Answer:
2.31
Step-by-step explanation:
0.2 goes into 0. 2 times. First part of answer: 2
0.2 goes into 0.06 3 times. second of answer: 3
0.2 goes into 0.002 one time. Third part of answer: 1
Answer: 0.231.
Now we need to move the decimal 4 places to the left and we get 2.31
HOPE THIS HELPS YOU!! :)
Plz mark brainliest if you want to! :)
