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asambeis [7]
4 years ago
14

How do you simplify and solve thease?

Mathematics
1 answer:
docker41 [41]4 years ago
4 0
Gather groups of x or groups of Y together examples

((4y + y) (9x +2x))
5y 11x
5y + 11x
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John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ba
Aleonysh [2.5K]

Answer:

2 m/s

Step-by-step explanation:

Given the graph of the baseball thrown into air.

John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.

The height of the baseball (in metres) is modeled by the function graph with respect to time.

To find:

The average rate of change of height of the ball from the point the ball is thrown to the maximum height.

Solution:

Here, the average rate of change can be found by dividing the distance between the two points with the change in time.

The starting time is 0 seconds.

The starting height is 3 metres.

The ending time is 2 seconds i.e. at which the ball reaches the maximum height.

The height is 7 metres.

Therefore, the average rate of change is:

\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s

7 0
3 years ago
If you are given the graph of h (x) = log Subscript 6 Baseline x, how could you graph m (x) = log Subscript 6 Baseline (x + 3)?
irinina [24]

Answer:

D)

Step-by-step explanation:

Translate each point of the graph of h(x) 3 units left.

5 0
3 years ago
Read 2 more answers
When a fraction of 17 is taken away from 17 , what remains exceeds one-third of seventeen by six.
Andrew [12]

Answer:

The fraction is less than \frac{17}{18}.

Step-by-step explanation:

Let the fraction is \frac{1}{n}.

Given that when the fraction of 17 is subtracted from 17 itself, then the remaining will be greater than one-third of 17 divided by six.

Therefore, by the given condition,  

17 - \frac{17}{n} > \frac{1}{3}(\frac{17}{6} )

⇒ 17 - \frac{17}{n} > \frac{17}{18}

⇒ 1 - \frac{1}{n} > \frac{1}{18}

⇒ \frac{1}{n} < 1 - \frac{1}{18}

⇒ \frac{1}{n} < \frac{17}{18}

Therefore, the fraction is less than \frac{17}{18}. (Answer)

5 0
3 years ago
Alex was making pumpkin soup that called for 3 and 4/5 cups of pumpkin. If Alex makes 2 batches of soup how many cups of pumpkin
My name is Ann [436]

Answer:

7 and 3/5

Step-by-step explanation:

3 and 4/5 times 2 is 7 and 3/5

7 0
3 years ago
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 1
melomori [17]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

<h3>What is standard deviation?</h3>

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

\bar{x}=63 \\

Now we can calculate z by z-score formula as

z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}  \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :brainly.com/question/12402189

5 0
3 years ago
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