d=540−65h
models a minivan's distance from Chicago, d, after h hours. Sabrina graphed the model below, but forgot to scale and label her graph. Answer the questions below based on the information you are given.
a) Answer the questions below so they fit the model LaTeX: d=540-65h
d=540−65h
i.) What label will you write on the y-axis?
ii.) What label will write on the x-axis?
iii.) What is the y-intercept? Explain what this means in context.
iv.) What is the slope? Explain what this means in context.
Answers
Answer:
Given function:
d = 540 - 65hAnswers
i) The y- axis will have the label d, the distance from Chicagoii) The x-axis will have the label h, travel hoursiii) The y-intercept is 540. This is the distance before the minivan starts to move.iv) The slope is -65. This is the distance reduced each hour of travel.Related Questions
Help me ??????????????????
Answers
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = - 2x² - 12x - 16
To complete the square the coefficient of the x² term must be 1
Factor out - 2 from - 2x² - 12x
f(x) = - 2(x² + 6x) - 16
add/ subtract ( half the coefficient of the x- term )² to x² + 6x
f(x) = - 2(x² + 2(3)x + 9 - 9 ) - 16
= - 2(x + 3)² + 18 - 16
= - 2(x + 3)² + 2 ; y = 2
he slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answers
Answer:
-1
Step-by-step explanation:
The product of these slopes is -1 ... when dealing with perpendicularity
A 156-inch board is cut into two pieces. One piece is three times the length of the other. Find the
length of the shorter piece.
The shorter piece is inches long.
Answers
Answer:
The shorter piece is 39 inches long.
Step-by-step explanation:
ratio = 3 : 1
3+1=4
156/4 = 39
just to check:
39 x 3 = 117 (the lenght of the longer piece)
117 + 39 =156
hope this helps
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Answers
I NEED HELP!!!!!!!!!!!
Answers
What is the measure of angle x?
Answers
Answer:
43
Step-by-step explanation:
Since right angles are 90 degree. 90 - 47 = 43
It looks mirrored, so I am guessing the 47 degree is also at the bottom.
If I'm wrong, I apologize.
65,070 divided by 78
Answers
Answer:
834.230769231 or 834.2
Step-by-step explanation:
Answer:
834.10
Step-by-step explanation:
Need help will mark brainlist if right
Answers
Answer:
1. Standard form (d.)
2. Factored form (a.)
3. Vertex form (b.)
4. Quadratic formula (c.)
i need help pleaseeeee!!!
Answers
Answer:
y=7
Step-by-step explanation:
look at 3 on x axis and find y value (the point of the line)
Answer:
y=7
Step-by-step explanation:
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do u know 64/12 as a mixed number.in its simplest form.
Answers
5 1/3 is 64/12 in it's simplest form as a mixed number.
Hope it helps you out! Good luck. :)
Answer:
16/3
That's the answer.
Simplify the following expression.
3(2x+7)
Answers
3(2x + 7)
3 • 2x • 3 • 7
6x + 3 • 7
6x + 21
A square has two lengths, (6x-1)cm and (4x+6)cm.
What is the length of one side of the square, the answer must be written in the form, side=.......cm
Answers
9514 1404 393
Answer:
side = 20 cm
Step-by-step explanation:
We assume the two given lengths are sides of the square, so are equal to each other.
6x -1 = 4x +6
2x = 7
We could find x = 3.5, but we can use 2x, too.
(2)(2x) +6 = 2(7) +6 . . . find the side length
4x+6 = 20 . . . . the side length of the square
__
side = 20 cm
Please help me with this assignment
Answers
Answer:
-1/8
Step-by-step explanation:
can someone help me with this Im not sure if My answer is correct
Answers
Answer:
y = 2x - 3
Yes, your answer is correct.
Step-by-step explanation:
First, find the slope of the two points by using the slope formula:
y2 - y1
m = -------------
x2 - x1
13 - 5
m = -------------
8 - 4
8
m = ------- = 2
4
To find the y-intercept, plug in values into the slope-intercept formula:
y = mx + b
Where m = slope and b= y-intercept. Use any one of the points. I'll be using (4,5):
5 = (2) (4) + b
5 = 8 + b
-3 = b
b = -3
So, putting everything into the slope intercept formula:
y = 2x - 3
A car travels along a hill inclined 12º with the horizontal for a distance of 1200 feet. What is the horizontal distance traveled by the car during this time?
Answers
Answer:
the horizontal distance traveled by the car during this time is 812
Step-by-step explanation:
what is the answer to 630 people went a McDonald's yesterday. If 60% of them ordered fries, how many ordered fries?
Answers
Answer:
378 people
Step-by-step explanation:
60% of 630 = 0.6 × 630 = 378
Answer:
378
Step-by-step explanation:
60% of 630 = 378
BRAINLIEST for whoever gets this correct!
Answers
Answer:
b
Step-by-step explanation:
Answer: Graph B
Step-by-step explanation:
Edward deposited $8500 into a savings account 4 years ago. The simple interest rate is 5%. How much money did he earn in interest?
Answers
Step-by-step explanation:
bun the end of the yeah job. intend him dnd neer
t he held orlick knife David kamp jacory danforth Jackie renfrow quill lss Michael Kaepernick post Darvish Davydenko Comstock decision Nintendo Kuznetsov victory
The parabola y-- (x – 3)2 + 6 has its focus at (3, 1). Determine and state the equation of the directrix.
Answers
Answer: you got to Find the focus of a parabola given its equation. If you have the equation of a parabola in vertex form , then the vertex is at and the focus is . Notice that here we are working with a parabola with a vertical axis of symmetry, so the -coordinate of the focus is the same as the -coordinate of the vertex.
Step-by-step explanation:
What is 40% of 50% of £60
Answers
Answer:
£12
Step-by-step explanation:
50% of £60 = £30
40% of £30 = £12
Have a great day :)
0.4x30=£12
8x - y = 42
-4x - 6 = y
Answers
Answer:
8x-(-4x-6)=42
8x+4x+6=42
12x=42-6
12x=36
x=36/12
x=3
substitute in an equation of your choice
8(3)-y=42
24-y=42
24-42=y
-18=y
Step-by-step explanation:
Answer:
x= 4 y= -10
Step-by-step explanation:
8x - y = 42
-4x - 6 = y
rearrange -4x - 6 =y to -4x -y = 6
8x - y = 42
-4x - y = 6
4x = 48
48/4 = 12
x=4
subsitute x with 4 adn solve for y = -22
y= -10
#7:
Costco marks up the price of a $500.00 couch by 25%
and then has a 25% off sale. What is the selling price of
the couch?
Answers
Answer: 468.75
is ya answer
i think
sorry if im wrong
Answer:
468.75
Step-by-step explanation:
First we need to add 25% to 500.00 which is 625.
Next we need to subtract 25% from 625.
Now we have 468.75.
The selling price of the couch is $468.75.
Ashley will roll a fair number cube the number cube is labeled 1 to 6 what is the probability that Ashley will roll a number greater that 4
Answers
Answer:1/6
Step-by-step explanation:
1 to 6 ok a number greater than 4 is 5 so take away 5 out the 1 to 6 and you will have 1 left so 1/6?
. Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?
Answers
Answer:
$1023.74
Step-by-step explanation:
Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?
Step 1
We find the new price after the discount.
Discount = % Discount × Current price
= 30% × $1299.99
= $389.997
The new discounted price =
$1299.99 - $389.997
= $909.993
Step 2
We calculate the Sales tax
The city Joan lives in has a 12.5% sales tax.
Hence,
The sales tax =
12.5% × $909.993
= 12.5/100 × $909.993
= $113.749125
Step 3
The total cost of the TV is calculated as:
Sales Tax + Discounted price
= $113.749125 + $909.993
= $1023.742125
Approximately = $1023.74
The total cost of the TV = $1023.74
1
Select the correct text in the table.
Consider the following expression.
-102 + 5 + 3
2.12 + 4
Select the true statements.
The numerator has 3 terms.
The denominator includes a coefficient of 4.
The denominator includes a coefficient of 2.
The numerator has 2 terms.
The numerator includes a coefficient of 3.
Answers
Answer:
first and third statements
Step-by-step explanation:
The diameter of a round rug is 42 inches. What is the approximate area of the rug?
Answers
Answer:
441[tex]\pi[/tex] inches squared i think
Step-by-step explanation:
radius = 42/2 = 21 inches
area = [tex]\pi[/tex] x [tex](21)^{2}[/tex]
area = 441[tex]\pi[/tex]
area = 1385.44236
Please help me and also show your work 10 points 3(3C2)
Answers
Answer:
Step-by-step explanation:
Or if you meant 3(3C^2) then the one under the first one
Can opposition day egsit
Answers
Answer:
is this really a smart question?
Step-by-step explanation:
what are you talking about?
The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 53 balcony tickets and 94 general admission floor tickets for Friday's show, for a total of $4,482 in receipts. For Saturday's show, 53 balcony tickets and 47 general admission floor tickets have been sold, equaling $3,354 in receipts. How much does each ticket cost?
Answers
The box office sold 360 tickets to a concert at
the college. The total receipts were $4,170. General
admission tickets cost $15 and student tickets cost $10.
How many of each kind of ticket was sold?
Answer: 114 general admission tickets and 246 student tickets were sold.
Step-by-step explanation:
Let x represent the number of general admission tickets that were sold.
Let y represent the number of student tickets that were sold.
The box office sold 360 tickets to a concert at the college. It means that
x + y = 360
General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that
15x + 10y = 4170- - - - - - - - -1
Substituting x = 360 - y into equation 1, it becomes
15(360 - y) + 10y = 4170
5400 - 15y + 10y = 4170
- 15y + 10y = 4170 - 5400
- 5y = - 1230
y = - 1230/-5
y = 246
x = 360 - y = 360 - 246
x = 114
Answer:
Step-by-step explanation:
Subtract 2nd equation from the first
53b+94g-53b-47g=4482-3354
47g=1128
g=24, using this value in 53b+94g=4482 gives you
53b+94(24)=4482
53b+2256=4482
53b=2226
b=43
So general admission tickets cost $24 and balcony tickets cost $43.
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Answers
Answer:
uhhhhhhhhh okay then I guess