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kkurt [141]
3 years ago
14

Which graph represents a linear function of x? ​

Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

tatiyna3 years ago
5 0
A because it’s a straight line across the graph
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A red candle is 8 inches y'all and burns at a rate of 7 divided by 10 inch per hour. A blue candle is 6 inches tall and burns at
lorasvet [3.4K]

Answer:

Both candles will have the same height after 4 hours.

Step-by-step explanation:

The equation for the amount of candle remaining can be given by the following equations:

Q(t) = Q(0) - at

In which Q(t) is the amount after t hours, Q(0) is the initial amount and a is how much it decreases, in inches, per hour.

Red candle:

8 inches tall and burns at a rate of 7 divided by 10 inch per hour. This means that Q(0) = 8, a = 7/10 = 0.7. So

Q_{r}(t) = 8 - 0.7t

Blue candle:

6 inches tall and burns at a rate of 1 divided by 5 inch per hour. This means that Q(0) = 6, a = 1/5 = 0.2. So

Q_{b}(t) = 6 - 0.2t

After how many hours will both candles be the same height ?

This is t when

Q_{r}(t) = Q_{b}(t)

8 - 0.7t = 6 - 0.2t

0.2t - 0.7t = 6 - 8[/yrc][tex]-0.5t = -2

Multiplying by (-1)

0.5t = 2

t = \frac{2}{0.5}

t = 4

Both candles will have the same height after 4 hours.

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.
Black_prince [1.1K]

Answer:

\frac{19}{12}\ pounds

or

1\frac{7}{12}\ pounds

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}

Convert mixed number to an improper fractions

1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}

3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}

Substitute in the expression above

x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}

solve for x

Multiply by (4*6) both sides to remove the fractions

24x+30+16=84

Combine like terms left side

24x+46=84

subtract 46 both sides

24x=84-46

24x=38

Divide by 24 both sides

x=\frac{38}{24}\ pounds

simplify

x=\frac{19}{12}\ pounds

Convert to mixed number

\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds

4 0
3 years ago
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