The line y = 4x + c passes through (1,7), find the value of c
Answers
At (1,7) (7)=4(1) + c
7= 4 + c
c = 7-4=3
c=3
Answer:
c = 3
Step-by-step explanation:
y = 4x + c
to find c substitute (1, 7 ) into the equation
7 = 4 + c ⇒ c = 7 - 4 = 3
Related Questions
The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals:3D Printer TruckAmount of investment $52,000 $48,000 Useful life 4 years 7 years Estimated residual value 0 0 Estimated total income over the useful life $4,160 $15,120 Determine the expected average rate of return for each proposal. If required, round your answers to one decimal place.3D Printer fill in the blank 1 %Truck fill in the blank 2 %
Answers
Average rate of return for 3D Printer is 4% and for Truck is 9%.
Average income = Estimated total income/ useful life.
For 3D Printer,
Average Income = 4160/ 4
Average Income = $1040
For Truck,
Average Income = 15120/ 7
Average Income = $2160
Average Investment = (Investment + residual value)/ 2
For 3D Printer,
Average Investment = (52000 + 0)/ 2
Average Investment = $26000
For Truck,
Average Investment = (48000 + 0)/ 2
Average Investment = $24000
Average rate of return = Average Income/ Average Investment
For 3D Printer,
Average rate of return = 1040/26000
Average rate of return = 4%
For Truck,
Average rate of return = 2160/24000
Average rate of return = 9%
Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.
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Mark Ogara rented a truck from Avis Rent-A-Car for the weekend (2 days). The base rental price was $30.45 per day plus 15 3/4 cents per mile. Mark drove 415.85 miles.
How much does Mark owe?
ound your answer to the nearest cent.
Answers
The amount that he owes will be $6610.54.
How to compute the value?From the information, the base rental price was $30.45 per day plus 15 3/4 cents per mile. Mark drove 415.85 miles.
Therefore the amount that will be paid will be:
= ($30.45 × 2) + (15.75 × 415.85 miles)
= $60.90 + $6549.64
= $6610.54
The cost is $6610.54.
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3^4 + 2 • 5 = (input whole numbers only.)
(please leave explanation)
Answers
So first use the order of operations: parentheses, exponents, multiply/divide, add/subtract to do 3^4 (this is an exponent) first which is 81. Then do the multiplication, 2•5, which equals 10. Finally add the 81+10 to get 91 as your final answer. Hope that helps :)
Triangle PQR has vertex coordinates at P(4, 0), Q(5, 4), R(5, 1). If the triangle is translated so that Q′(0, 4), determine the translation direction and number of units.
5 units down
5 units up
5 units to the right
5 units to the left
Answers
The translation direction is 5 units to the left.
To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).
By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.
By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.
Therefore, the translation direction is 5 units to the left.
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The cost in dollars to rent a blackhoe for h hours can be represented by the c=75h+50.
Vertical intercept is (0,50) (a) Explain it’s meaning in regards to renting a blackhoe for _____ hours would cost ____. This is not impossible.
(b) Find the horizontal intercept. (______)
Explain its meaning in regards to renting a blackhoe.(include units)
Renting a blackhoe for _____ hours will cost ________. This is not impossible.
Answers
Answer:
a) (0, 50); 0 hours cost $50; not impossible
b) (-2/3, 0); -2/3 hours cost $0; impossible
Step-by-step explanation:
a)The ordered pair (h, c) tells you the cost (c) of renting a backhoe for h hours. The ordered pair (0, 50) is the vertical intercept. It tells you the cost of renting the backhoe for 0 hours is 50 dollars.
__
b)The horizontal intercept is the value ordered pair where c=0. It can be found by solving the equation for c=0:
c = 75h +50
0 = 75h +50
-50 = 75h . . . . . . subtract 50
-2/3 = h . . . . . . . . divide by 75
The horizontal intercept is (-2/3, 0). It tells you the cost of renting the backhoe for -2/3 hours is 0 dollars (free). We generally consider this to be impossible.
Estimate the product of
5
and 4
Then find the product.
Answers
1: Look at the 4, its a lot easier to multiply 5 x 5 rather than 5 x 4, plus if you are estimating, you are going to round either up or down.
2: Multiply 5 x 5 // the answer is 25.
3: Multiply 5 x 4 (the original) // which is 20.
An equation that defined y as a dun6of x is given.
Answers
subtract 5x from both sides of the equation:
\(\begin{gathered} 5x\text{ - 5x - 6y = 5 - 5x} \\ 0\text{ - 6y = 5 - 5x} \\ -6y\text{ = 5 - 5x} \end{gathered}\)Divide both sides by -6:
\(\begin{gathered} \frac{-6y}{-6}\text{ = }\frac{5\text{ - 5x}}{-6} \\ y\text{ = }\frac{5\text{-5x}}{-6} \end{gathered}\)The question asked that we replace y with f(x):
\(f(x)\text{ = }\frac{5\text{ - 5x}}{-6}\text{ \lparen3rd option\rparen}\)a person weighs 156 pounds, convert their weight to kilograms
Answers
Answer:
70.824
Step-by-step explanation:
to solve, multiply the amount of pounds by 0.454.
EX:
156 * 0.454 = 70.824
what it actually equals:
70.7604 (answ on web)
vs
70.824 (answ with formula)
not bad eh?
hope this helps :)
Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5
Answers
Answer:
r≤5
Step-by-step explanation:
Steps are in the photo. Hope this helps.
Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answers
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answers
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
will give brainlist
Answers
Hope this helped I only did like 1 lesson on functions
Answer:
B is the correct answer I the math hopes this helped!
Three blocks are shown: Block A has mass 3 kilograms, length 8 centimeters, height 2 centimeters, and width 1 centimeters. Block B has mass 4 kilograms, length 1 centimeters, height 8 centimeters, and width 2 centimeters. Block C has mass 4 kilograms, length 8 centimeters, height 1 centimeters, and width 2 centimeters. Which statement is correct? (1 point) a Block A has the greatest density. b Block B has the least density. c The density of Block A is equal to the density of Block B. d The density of Block B is equal to the density of Block C.
Answers
Answer:
b & c
Step-by-step explanation:
I need it done very quick pls help
Answers
The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers. A) 20 and 7 B) 12 and 15 C) 13 and 14 D) -12 and -15
Answers
Answer:
A
Step-by-step explanation:
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answers
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
how are the step by step math problem suppose to be for this math problem (-2-8)^2?
Answers
Answer:
the answer is 100
Step-by-step explanation:
(-2-8)^2
(-2-8)(-2-8)
-2(-2-8)-8(-2-8)
4+16+16+64
20+80
100
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Answers
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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What is the range of the function y = -x ^2 + 1?
A. y ≤ -1
B. y ≥ -1
C. y ≤ 1
D. y ≥ 1
Answers
Answer:
C. y ≤ 1
Step-by-step explanation:
The maximum value of the function is 1. So, the range is all values of y less than or equal to that.
y ≤ 1
math read please IMA WRITE USELESS WORDS CONTINUE
Answers
Find the output, y, when the input, x, is -9.
y =
Answers
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Given: F3 = 5 k + 515 g F4 = 945k - 713 g ; find F20
Answers
9514 1404 393
Answer:
F20 = 15985k -20361g
Step-by-step explanation:
If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...
d = F4 -F3 = (945k -713g) -(5k +515g)
d = 940k -1228g
Then the 20th term is ...
F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)
F20 = 15985k -20361g
General form of
Y= 1/3x +3 and has an x intercept of 3
Answers
Answer:
Step-by-step explanation:
y
=
1
3
x
−
3
Use the slope-intercept form to find the slope and y-intercept
Slope:
1
3
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
−
3
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
3
−
2
image of graph
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1900 seats. The students filled 44% of the seats in the theater. How many 6th graders went on the trip?
Answers
1900 * 0.44 = 836
question what is −8y2 + 8y2
Answers
Answer:
0..................
Answer:
0
Step-by-step explanation:
How high is a tree that cast a 33ft shadow at the same time a9ft post casts a shadow w
Answers
let x=height of the tree
x/33=5/12
x=5*33/12
x=13.75
In the game plan for model building on your multiple regression project, which of the following is true about the test that determines whether the interaction term(s) is/are significant in predicting y?
A. It will definitely be a t-test
B. It will either be a t-test or a best subset for partial) F-test depending on whether we kept or dropped the quadratic terms
C. It will definitely be a partial F-test
D. It will definitely be a global
Answers
Answer:
A. It will definitely be a t-test
Step-by-step explanation:
T-test is a type of inferential statistic test which used to determine whether there is a significant difference between mean of two group sets or variables.The t-test technique is widely used in hypothesis testing in statistics. When the model building for game play is determine through regression analysis, it will require t-test to be conducted to reach a conclusion.
Last week Jane made deposits of $64,25,and$37 into her checking account.she then Wrote checks For $52 and $49. What is janes new account balance?
Answers
Answer:
$25.
Step-by-step explanation:
64+25+37=126
52+49=101.00
126-101=25
Answer:
$25
Step-by-step explanation:
Assuming her bank account was initially at $0 then:
$64+$25+$37 = $126
$126 - $52 - $49 = $25
What would the next figure in the geometric pattern below be?
Answers
What’s the units?? Plz need help
Answers
Answer: 4 units
Step-by-step explanation: