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docker41 [41]
3 years ago
14

How would i figure this out

Mathematics
1 answer:
arsen [322]3 years ago
4 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

To plot the line through the point, plot the point. Then find another point that has the given "rise" and "run". Draw the line through the two points.

__

The given point is (-7, -4). Locate that on the graph.

The slope is given as -2/3. This is the ratio of "rise" to "run", so it means the "rise" will be -2 for each "run" of 3. (rise/run = -2/3)

The rise is the vertical change. So, you want your second point to be 2 units below the given point. Its y-coordinate will be -4-2 = -6.

The run is the horizontal change. Your second point will be 3 units to the right of the given point, so its x-coordinate will be -7+3 = -4. Now, you can plot the point (-4, -6) and draw your graph through these two points.

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Is 3a + 3B equivalent to 3 (a + 2B) <br>true or false​
natulia [17]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The expressions given are not equivalent.

»»————- ★ ————-««  

Here’s why:  

  • We can check if the expressions are equivalent by simplifying one of them.

⸻⸻⸻⸻

\boxed{3(a+2B)}\\\\---------\\\rightarrow3*a = 3a\\\\\rightarrow3 * 2B = 6B\\\\\text{Therefore:}\\\\3(a+2B)=\boxed{3a+6B}\\\\\text{and}\\\\\boxed{3(a+2B)\neq 3a+3B}

⸻⸻⸻⸻

  • You can also say that they are not equivalent because it was not completely distributed.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
Read 2 more answers
A telephone poll asked people whether they like playing golf. 120 people said they like playing golf and 630 people said they do
Paladinen [302]
First we need to know how many people were asked - 120 + 630 = 750 people
Now we make fractions - 120/750 and 630/750
Divide the fractions - 120/750 = 0.16 and 630/750 = 0.84
Multiply the results by 100 so we can get the percentage - 0.16 x 100 = 16% and 0.84 x 100 = 84%

The percentage of people that like playing golf is 16%.
3 0
3 years ago
Read 2 more answers
Suppose ACT Reading scores are normally distributed with a mean of 21.4 21.4 and a standard deviation of 5.9 5.9 . A university
Nutka1998 [239]

Answer:

29.2

Step-by-step explanation:

Mean = 21.4

Standard deviation = 5.9%

The minimum score required for the scholarship which is the scores of the top 9% is calculated using the Z - Score Formula.

The Z- score formula is given as:

z = x - μ /σ

Z score ( z) is determined by checking the z score percentile of the normal distribution

In the question we are told that it is the students who scores are in the top 9%

The top 9% is determined by finding the z score of the 91st percentile on the normal distribution

z score of the 91st percentile = 1.341

Using the formula

z = x - μ /σ

Where

z = z score of the 91st percentile = 1.341

μ = mean = 21.4

σ = Standard deviation = 5.9

1.341= x - 21.4 / 5.9

Cross multiply

1.341 × 5.9 = x - 21.4

7.7526 = x -21.4

x = 7.7526 + 21.4

x = 29.1526

The 91st percentile is at the score of 29.1526.

We were asked in the question to round up to the nearest tenth.

Approximately, = 29.2

Step-by-step explanation:

7 0
3 years ago
jamar has an 8-foot long piece of wood that he wants to cut to build a stepstool for his tree house if each piece is going to be
lesya [120]
The greates amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.
7 0
4 years ago
Read 2 more answers
The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a ____
deff fn [24]

Answer:

The correct answer is "decrease, 1,280 feet".

Step-by-step explanation:

The given values are:

Rate or speed,

= 320 feet per hour

1 pm to 5 pm means,

t = 5 - 1

 = 4 hours

Now,

The net change in distance will be:

⇒  \Delta D=-320\times 4 \ feet

⇒         =-1280 \ feet

Thus the above is the correct approach.

8 0
3 years ago
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