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il63 [147K]
2 years ago
7

Which of the following inequalities matches the graph? (1 point)

Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

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Over which interval(s) is the function decreasing?


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3 years ago
Robert slices a large loaf of bread to make 12 sandwiches. He made 3 turkey sandwiches and 5 veggie sandwiches. The rest are ham
lions [1.4K]
We already know that there are 12 sandwiches.

If there are 3 turkey and 5 veggie then there's 8 out of 12 sandwiches that aren't ham.

12 sandwiches - 8 non-ham sandwiches = 4 ham sandwiches

Now we know there are 4/12 ham sandwiches

We need to simplify this now.
4/12 can be divided by 4

4 goes into 4 1 time and 4 goes into 12 3 times making the answer 1/3

1/3 of the sandwiches are ham.
3 0
3 years ago
I need this fast!........................
Schach [20]

Answer:  (2,2)

Step-by-step explanation:

1. Substitute y=0 into first equation and solve for "x" in order to find the x-intercept of the first line:

0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6

2. Substitute x=0 into the first equation and solve for "y" in order to find the y-intercept of the first line:

y=-\frac{1}{2}(0)+3\\\\y=3

Knowing that first line passes through the points (6,0) and (0,3), you can graph it.

3. Substitute y=0 into second equation and solve for "x" in order to find the x-intercept:

0=2x-2\\\\2=2x\\\\x=1

4. Substitute x=0 into the second equation and solve for "y" in order to find the y-intercept of the second line:

y=2(0)-2\\\\y=-2

Knowing that second line passes through the points (1,0) and (0,-2), you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

(2,2)

7 0
3 years ago
$1080 in the ratio of 1:3:5
MatroZZZ [7]
Divide 1080 by 1+3+5 which is 9
120 is 1
360 is 3
600 is 5
120:360:600
8 0
3 years ago
Read 2 more answers
What’s the answer show your WORK Plz
Yuliya22 [10]

Answer:

732.7 I think

Step-by-step explanation:

You just multiply 28 by 26.17

3 0
3 years ago
Read 2 more answers
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