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ivann1987 [24]
3 years ago
14

64 POINTS

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0
L(t)=9-0.5t   
t=time in hours,
L(t)=length of candle at time t

(A) substitute t=1,2,3,4,5,6 respectively to get
(1,8.5)
(2,8)
(3,7.5)
(4,7)
(5,6.5)
(6,6)

(B) it is a function because none of the x-values duplicate, (nor the y-values).

(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.

Digiron [165]3 years ago
3 0

Answer:

Part A: {(0,9),(1,8.5),(2,8),(3,7.5),(4,7),(5,6.5)}

Part B: This relation is a function, because each x input has it's own y output.

Part C: Yes, the relation would still be a function as the y-coordinate is not repeating itself for different x-coordinates. Decreasing the number of this rate of change does not affect whether the relation is a function or not.


Good luck on your test! I hope I helped :)

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Find the slope, if it exists, of the line containing the points (-4,0) and (-5,3)
NNADVOKAT [17]

Answer:

2

Step-by-step explanation:

let (-4,0) be (x1,y1) and (-5,3) be (x2,y2)

slop formula = <u>y2-y1</u>

x2-x1

=(3-0)+(-5-(-4))

=3+(-5+4)

=3+(-1)

=3-1

=2

6 0
3 years ago
2+d=2-3(d-5)-2 Pls show work
defon
2 + d = 2 - 3(d- 5) - 2

First, cancel 2 on both sides. / Your problem should look like: d = -3(d - 5) - 2
Second, expand. / Your problem should look like: d = -3d + 15 - 2
Third, simplify -3d + 15 - 2 to get -3d + 13. / Your problem should look like: d = -3d + 13
Fourth, add 3d to both sides. / Your problem should look like: d + 3d = 13
Fifth, add d + 3d to get 4d. / Your problem should look like: 4d = 13
Sixth, divide both sides by 4. / Your problem should look like: d =  \frac{13}{4}

Answer as fraction: d =  \frac{13}{4}
Answer as decimal: d = 3.25

3 0
4 years ago
Read 2 more answers
Given a standard form linear equation 33 - 4y = 12​
Kisachek [45]

Answer:

5 1/4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If f(5) and the equation is f(x)=x to the2nd power +2x
scoundrel [369]
The answer would be 35
5 0
3 years ago
4. Break-Even Analysis
DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

4 0
3 years ago
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