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3 years ago

Q. # 17 Graph the inequality on a coordinate plane.. - y < 3x - 5

Mathematics

2 answers:

damaskus [11]3 years ago

5 0

-y<3x-5

Multiply each term by -1 to make Y positive: ( when multiplying an inequality by a negative value you also reverse the inequality sign).

multiplying the original equation by -1 you get:
y>-3x +5

The slope is the number in front of the x, so the slope = -3
The Y intercept is the last number in the equation, so y-intercept is 5

When the line crosses x at 0, it would be on Y = 5 and since the slope is negative, the line would slant downwards from left to right.

Because the inequality sign becomes > (greater than) the shaded portion would be to the right of the line.

The first graph in your picture is the correct answer.

ad-work [718]3 years ago

4 0

The inequality -y<3x-5 by multiplying by -1 becomes y>-3x+5.
1. Draw line y=-3x+5. When x=0, y=5, when y=0, -3x+5=0, x=5/3.
2. Choose the correct semiplane, substituting (0,0) into the inequality. Since 0 is not greater than 5, you can conclude that point (0,0) isn't a solution and doesn't belong to the shaded area.
3. The correct answer is first choice

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Step-by-step explanation:

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2 years ago

On a map Rossville and Smithtown are 5 1/2 inches apart. If the actual distance between the town is 16 1/2 miles, to what unit r

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2 years ago

Read 2 more answers

A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population

Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

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3 years ago