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4 years ago

The coordinate plane below represents a city. Points A through F are schools in the city.

1 answer:

6 0

Part A)
y < 2*x
y > 4/5*x
The graph will shade below the line y = 2x (not including the line),
and above the line y = 4/5*x (not including the line).
Where the shaded regions overlap is the solution area.
In the graph, the overlapping region is darkest.

part b) verify that point C and point F satisfy the inequalities
plug in point C and point F separately.
you should get a true statement, each time

part c) if we graph
y < -2x + 2
over the plotted points
lets see what points it covers
The shade region covers points A,B,D
so those are the schools she can attend

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Does a multi-step equation always, sometimes, or never have a solution? Explain your reasoning.

DedPeter [7]

Only sometimes.

4x + 1 = 2x+3 has a solution.

4x + 1 = 4(x+1) has infinitely many solutions.

(3*9) -28 = 45^ 0 has no solutions.

Therefore, a multi-step equation sometimes has a solution.

4 0

3 years ago

What is 2 over 8 plus 2 over 4

kompoz [17]

2/8 + 2/4

so, what you wanna do is make the numbers have the same denominator, or bottom part of the fraction.

to do this, you have to make 8 into 4, which would mean you divide 8 by 2. and since you do to the numerator what you do to the denominator, now 2/8 is equal to 1/4.

now, you have 1/4+2/4, and since the denominators are the same, you can just add the numerators!!

so your answer is 3/4!! hope i helped, let me know if you need clarification on anything!!

5 0

4 years ago

TiliK225 [7]

Use the Pythagorean Theorem.

a^2 + b^2 = c^2

a^2 + 12^2 = 19^2

Simplify the exponents:

a^2 + 144 = 361

Subtract 144 to both sides:

a^2 = 217

Find the square root of both sides:

a = 14.73

5 0

3 years ago

Read 2 more answers

A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back,

Yakvenalex [24]

<h3>Answer: 1/12</h3>

=========================================================

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

5 0

2 years ago

Someone plz help.The temperature started at 35°F. If the temperature went down 4°F and then up 2°F, whats is the temperature dif

timama [110]

Answer:

The temperature difference relative to the high temperature is -2°F.

Step-by-step explanation:

We are given that the temperature started at 35°F. The temperature went down 4°F and then up 2°F.

Firstly, the original temperature = 35°F

Now, it is stated that the temperature went down 4°F, this means that the temperature decreases by this amount.

So, the new temperature = 35°F - 4°F = 31°F

Now, the temperature went up by 2°F, this means that the temperature increases by this amount.

So, the final temperature = 31°F + 2°F = 33°F

Now, the final temperature difference relative to the high temperature is given by = 33°F - 35°F = -2°F.

{Here, the maximum temperature is 35°F}

6 0

3 years ago