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agasfer [191]
2 years ago
5

Y>-3x +3 y≥ 2x-2 O (1,0) O (-1,1) O(2,2) (0,3)

Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

<u>- (y≥ 2x-2)</u>

0 \geq -5x + 5

5x \geq 5

x \geq 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

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irina [24]

It has 3 zeroes which are

\frac{-1}{2}, -1, \frac{4}{5}

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6 0
3 years ago
Solve for d.<br> 19d -16d-d-d-1 = 12
Reika [66]

Answer:

d = 13

Step-by-step explanation:

19d - 16d - d - d - 1 = 12

19d + (-16 - 1d - 1d) - 1 = 12

19d + (--18d) - 1 = 12

19d - 18d - 1 = 12

1d = 12 + 1

d = 13

Check:

19*13 - 16*13 - 13 - 13 - 1 = 12

247 - 208 - 26 - 1 = 12

39 - 27 = 12

7 0
1 year ago
What is a multiplication problem that will get you to an answer of 2019
Vesna [10]
673 times 3 is equals 2019
673•3=2019




8 0
3 years ago
Read 2 more answers
What are the coordinates of the image of point (−1, 5) after a counterclockwise rotation of 90º about the origin?
Andreas93 [3]
-5,0 would be the correct answer
8 0
4 years ago
Read 2 more answers
Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the num
svp [43]

Answer:

I. First number, a = 40.

II. Second number, b = 50.

III. Third number, c = 120.

Step-by-step explanation:

Let the three numbers be a, b and c respectively.

Given the following data;

Translating the word problem into an algebraic equation, we have;

a + b + c = 210

b = a + 10

c = 3a

Substituting the value of b and c into the equation, we have;

a + a + 10 + 3a = 210

5a + 10 = 210

5a = 210 - 10

5a = 200

a = 200/5

<em>a = 40</em>

To find the value of b;

b = a + 10

b = 40 + 10

<em>b = 50</em>

To find c

c = 3a

c = 3*40

<em>c = 120</em>

5 0
3 years ago
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