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3 years ago

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:

Point slope form: (y - y1) = m(x - x1)

Step 1: Find the slope

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

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

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

m = $\frac{-7}{3}$

Step 2: Plug into the point slope form

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

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

(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:

$A = 225\pi$

$A = \pi r^{2}$

$225\pi = \pi r^{2}$

$r^{2} = 225$

$r = \pm \sqrt{225}$

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 certain 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 likely 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 unlikely 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 impossible that she will score a point on her next turn.

Thus, the correct statement for the given question is "unlikely"

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

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