All categories

3 years ago

Which graph represents the solution set for the system 2x + y ≤ 3 and y − x > 2?

Mathematics

1 answer:

natka813 [3]3 years ago

4 0

You can identify the lines and their colour either by
1. the y-intercepts.
First equation has a y-intercept of 3 and second has a y-intercept of 2.
So first equation is blue, and second is red.
2. the slopes
First equation has a negative slope (so blue), and second has a positive slope (so red).

Now work on each of the equations.
1. first equation (blue)
If we put x=0, we end up with the equation y≤3, the ≤ sign indicates that the region is BELOW the BLUE line.
2. second equation (red).
If we put x=0, we end up with the equation y>2, the > sign indicates that the region is ABOVE the RED line AND the red line should be dotted (full line if ≥).

So at the point, it won't be too hard to find the correct region.

To confirm, take a point definitely in the region, such as (-6,0) and substitute in each equation to make sure that both conditions are satisfied.

You might be interested in

Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $ 10 $10dollar sign, 10 plus a con

slavikrds [6]

Answer:

F(t) = 10 + 5(t)

Step-by-step explanation:

The complete question is as follows;

Anumeha is mowing lawns for a summer job. for every mowing job, she charges an initial fee of \$10$10dollar sign, 10 plus a constant fee for each hour of work. her fee for a 555-hour job, for instance, is \$35$35dollar sign, 35. let f(t)f(t)f, left parenthesis, t, right parenthesis denote anumeha's fee for a single job fff (measured in dollars) as a function of the number of hours ttt it took her to complete it. write the function's formula.

Solution

We are interested in writing the function F(t) formula for the fee charged by Anumeha per job.

Now, the key to writing this function is knowing exactly the constant fee she charges on the job.

We were told that she got $35 for a 5 hour job.

Thus, the constant amount charged is as follows;

Since it’s $10 as initial fee and the constant fee is per hour;

35 = 10 + 5(x)

where x is the constant fee per hour

35 = 10 + 5x

5x = 35-10

5x = 25

x = 25/5

x = $5

This mess that she charges a constant fee of $5 per hour

So we can write the equation now.

F(t) = 10 + 5(t)

where t represents the number of hours she spent on the job

6 0

3 years ago

A fan blade spins at a constant rate. This spinning is known as revolutions. The equation y=750x represents the number of revo

Aneli [31]

Answer:

(0,0)

(1, 750)

(2, 1500)

(3, 2250)

Step-by-step explanation:

To list the ordered pairs (x,y) we need to calculated the number of revolutions for minutes 0, 1, 2 and 3.

To calculated the number of revolutions for 0 minutes, we need to replace x by 0 in the initial equation and solve for y as:

y = 750*x

y = 750*0

y = 0

It means that our first ordered pair is (0,0), because when we replace x by 0 we get y equal to 0

At the same way, if we replace x by 1, we get:

y = 750*x

y = 750*(1)

y = 750

So, our second ordered pair is (1, 750)

Then, replacing x by 2, we get:

y = 750*x

y = 750*(2)

y = 1500

So, our third ordered pair is (2, 1500)

Finally, replacing x by 3, we get:

y = 750*x

y = 750*(3)

y = 2250

So, our last ordered pair is (3, 2250)

6 0

3 years ago

I'd appreciate an answer to this.

Simora [160]

Answer:

C. 0.366

Step-by-step explanation:

In this stemplot, it is apparent that the number on the right is the least-significant digit (thousandths digit) of the batting average. The two most-significant digits are to the left of the vertical line.

Hence the value 0.36 | 6 represents an average that is 36 hundredths plus 6 thousandths: 0.366.

4 0

3 years ago

Which transformations when performed together would carry graph A onto graph B?

Alika [10]

I think the answers are b & a

7 0

3 years ago

Read 2 more answers

A doctor gives a patient a 6060% chance of surviving bypass surgery after a heart attack. if the patient survives the surgery,

DENIUS [597]

Let BS be the event that the patient survives bypass surgery. Let H be the event that the heart damage will heal. Then P(BS) = 0.60, and also we have a conditional probability: GIVEN that the patient survives, the probability that the heart damage will heal is 0.5, that is P(H|BS) = 0.5 We want to know P(BS and H). Using the formula of the conditional probability: P(H and BS) = P(H|BS)·P(BS) = (0.6)(0.5) = 0.3

3 0

3 years ago