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andriy [413]
3 years ago
13

What are the answers of these and if work is needed please explain? Thank you

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
1) (-4,0)lowest and highest x values
2) (2,3)lowest and highest y values
3) (-2,0] point where the graph is going down
5) x-intercept is (-3,-1)
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Which of the following point-slope form equations could be produced with the points (-1, 4) and (2, -3)?
Nikolay [14]

Answer:

Option B, y + 3 = -7/3(x - 2)

Step-by-step explanation:

<u>Point slope form:  (y - y1) = m(x - x1)</u>

<u />

<u>Step 1:  Find the slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-3 - 4}{2 - (-1)}

m = \frac{-7}{2 + 1}

m = \frac{-7}{3}

<u>Step 2:  Plug into the point slope form</u>

(y - 4) = -7/3(x - (-1))

(y - 4) = -7/3(x + 1)

OR

(y - (-3)) = -7/3(x - 2)

y + 3 = -7/3(x - 2)

Answer:  Option B, y + 3 = -7/3(x - 2)

3 0
3 years ago
Starting at home, Michael traveled uphill to the gift store for 24 minutes at just 10 mph. He then traveled back home along the
kondaur [170]
We can figure out how long Michael's trip took by realizing that 30 mph is 3 times 10 mph.  Because of this, the trip home will take 1/3 the amount of time it took to go up the hill.  This makes the equation 24 + 8 = 32 minutes for the whole trip.

Now we need to figure out how long the trip was.  We can do this by multiplying 10 minutes by 24/60, which equals 4.  This means that Michael went 4 miles there, and 4 miles back.  So Michael went a total of 8 miles.

Now we know that Michael went 8 miles in 32 minutes.  Now, we multiply 8 by 60/32.  This gives us 15, so Michael went 15 miles per hour on average in the trip.
4 0
3 years ago
The circular area covered by a cell phone tower can be represented by the expression 225π miles2. What is the approximate length
Irina18 [472]

Answer:

The length of the diameter of this circular area is of 30 miles.

Step-by-step explanation:

The area of a circular region can be represented by the following equation:

A = \pi r^{2}

In which r is the radius. The diameter is twice the radius.

In this question:

A = 225\pi

So

A = \pi r^{2}

225\pi = \pi r^{2}

r^{2} = 225

r = \pm \sqrt{225}

The radius is a positive measure, so

r = 15

Area in squared miles, so the radius in miles.

What is the approximate length of the diameter of this circular area

D = 2r = 2*15 = 30 miles

The length of the diameter of this circular area is of 30 miles.

6 0
3 years ago
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes
algol [13]

Complete question:

Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?

A. likely

B. certain

C.unlikely

D.impossible​

Answer:

C. unlikely

Step-by-step explanation:

If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be <em>certain</em> that she will score a point on her next turn.

Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be <em>likely</em> that she will score a point on her next turn.

Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be <em>unlikely</em> that she will score a point on her next turn.

Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be<em> impossible</em>​ that she will score a point on her next turn.

Thus, the correct statement for the given question is "<em>unlikely"</em>

5 0
3 years ago
There are 500 passengers on a train.
Amiraneli [1.4K]

Answer:7/20 = 0.35 = 35%=500x.35 =175 men

40%=.40x500 =200 women

200+170=370

500-370

125 children

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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