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emmasim [6.3K]
3 years ago
14

Worth 15 POINTS! Create a story for the equation y= -2x + 14

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

-2x+14 is the same as 14 - 2x

Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.

In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...

14 - 2x = 14 - 2*3 = 14 - 6 = 8

meaning buying 3 sodas cost you $6 and you have $8 left over.

If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14

note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.

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Discuss the validity of the following statement. If the statement is always​ true, explain why. If​ not, give a counterexample.
Zigmanuir [339]

Answer:

P(E \cup F)=P(E)+P(F).

Step-by-step explanation:

Given the statement

If P(E)+P(F)=P(E \cup F)+P(E \cap F), then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

P(E \cup F)=P(E)+P(F).

3 0
3 years ago
Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Grou
nadezda [96]

Answer: 20x

Step-by-step explanation:

First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour

Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:

= 5 ÷ 1/4

= 5 × 4

= 20 cartons.

Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:

= 20 × x

= 20x

6 0
2 years ago
State 4 solutions for the equation that is modeled by the graph.
Norma-Jean [14]

Answer:

see explanation

Step-by-step explanation:

Any coordinate point that lies on the line is a solution , that is

(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )

7 0
3 years ago
Solve the slope for the table.
Nikitich [7]

Answer:

The slope is 0

Step-by-step explanation:

All y-values are equal to 5 meaning the graph is a straight horizontal line. Slope is the rate at which a graph increases or decreases. Seeing as this graph doesn't do so, the slope is 0.

3 0
2 years ago
Read 2 more answers
Which equation is the equivalent form of 20(3)^5x = 820?
makvit [3.9K]

Answer:

x=ln(41)/ln(243)

Step-by-step explanation:

20(3)^5x=820

3^5x=820/20

3^5x=41

5x=ln(41)/ln(3)

x=(1/5)[ln(41)/ln(3)]

x=ln(41)/ln(3^5)

x=ln(41)/ln(243)

8 0
3 years ago
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