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Gnom [1K]
3 years ago
6

Katy is on a path, moving towards a bridge. The given table represents a function that describes Katy’s distance from the bridge

, in meters, after x minutes of walking.
A. Katy was 250 meters from the bridge, and it took her 5 minutes to reach the bridge.
B. Katy was 250 meters from the bridge, and it took her 6 minutes to reach the bridge.
C. Katy was 300 meters from the bridge, and it took her 5 minutes to reach the bridge.
D. Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Mathematics
1 answer:
Sophie [7]3 years ago
3 0

Answer:

D : Katy was 300 meters from the bridge, and it took her 6 minutes to reach the bridge.

Step-by-step explanation:

Recall that x represents the time walked

When you see the first entry on the table as: x=0, that means Katy is about to start her walk, and the value to the right which represents her distance from the bridge is 300 meters. So as her walk started she was 300 meters from the bridge.

Now look at the last entry pair at the bottom of the table: the value in the "x" column (that represents the number of minutes she walked) reads: 6, and the value to the right (next column) reads 0 (0 meters from the bridge)

This is telling us that Katy was at the bridge after 6 minutes of walk. So answer D is the correct answer representing the given table of time and distance values.

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What is a function? *
Lera25 [3.4K]

Answer:

A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

hope this helps

7 0
3 years ago
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Eira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints
lesya [120]

Answer:

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

Step-by-step explanation:

Eira's graph probably resembled the diagram below.

The domain is the set of all possible x-values that will make a function work.

x can take any value from 3 to 7.

The domain is [3, 7] or 3 ≤ x ≤ 7.

4 0
3 years ago
16. Mum went shopping at the vegetable stand.
kondaur [170]

Good evening

Answer:

<em>a) the cost of one apple is €</em><em>0.9</em>

<em>b) the cost of one pineapple is €</em><em>5.4</em>

<em>c) the cost of two pineapples and six apples is €</em><em>16.2</em>

Step-by-step explanation:

Consider P the price of a pineapple

               A the price of an apple

A pineapple costs six times as much as an apple means P = 6A

Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20

then

6A + 2A = 7.20

then

8A = 7.20

then

A = €0.9  

Since P = 6A then P = 6×(0.9) = €5.4

the cost of two pineapples and six apples

= 2P + 6A

= 2P + P

= 3P

= 3×(5.4)

= €16.2

     

7 0
3 years ago
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
3 years ago
Can you simplify 3(x+2) = 3x+6 in distributive property
Vanyuwa [196]

Hello XD

3(x+2) = 3x+6

Distributive property

(3)(x)+(3)(2) = 3x+6

3x+ 6 = 3x+6

Now subtract 3x from both sides

3x+6-3x = 3x+6-3x

6=6

Subtract 6 from both sides

6-6 = 6-6

0=0

In this case the answer is : All real numbers are solution

3 0
3 years ago
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