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dmitriy555 [2]
3 years ago
8

See full question below.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

<u>Solve the determinants first:</u>

  • B = 5*4 - 2*(-3) = 20 + 6 = 26
  • I = 1*1 - 0*0 = 1 - 0 = 1

<u>Find the following</u>

I.

  • B² = 26² = 676

II.

  • f(B + I) = f(26 + 1) = f(27)
  • f(27) = 4*27² + 3*27 - 5 = 2992

III.

  • f(B)² = f(26)² = f(676)
  • f(676) = 4*676² + 3*676 - 5 = 1829927
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Which system of linear inequalities is shown in the graph
artcher [175]

Answer:

The answer to your question is:

x + 2y - 4 ≥ 0     and     2x -y -3 > 0

Step-by-step explanation:

First look for two points of each line to fine the line equations

1 st line points:  (2, 1) ; (0, 2)

2nd line points: (2, 1) ; (3, 3)

1st line slope

                         m = (2 - 1) / (0 - 2) = 1 / -2  = -1/2

2nd line slope

                         m = (3 - 1) / ( 3 - 2) = 2 / 1 = 2

1st line

                    y - 1 = -1/2 (x - 2)

                    2y - 2 = -1(x - 2)

                    2y - 2 = -x + 2

                    x + 2y - 4 = 0        Inequality        x + 2y - 4 ≥ 0

2nd line

                 y - 1 = 2(x - 2)

                 y - 1 = 2x - 4

                 2x -y -3 = 0             Inequality          2x -y -3 > 0

4 0
3 years ago
Write the equation of the line with the following characteristics.A horizontal line through the point (0,3)
Readme [11.4K]
Hello!

Because we have been asked to write the equation of a line, we will need to give the answer in slope-intercept form. Slope-intercept form uses the following formula:

y = mx + b

In the above formula, M represents the slope while B represents the y-intercept. We are asked to write the equation of a horizontal line that passes through the given point. Horizontal lines have a slope of zero (0), so we’ll begin by inserting this value into the slope-intercept formula:

y = (0)x + b

Now simplify the right side of the equation:

y = b

Now we must find the y-intercept of the line in question. We are given that it passes through point (0,3). We know that any point taking the form (0,y) lies on the y-axis and, consequently, can be classified as a y-intercept. Therefore, the y-intercept of the given line must be 3. Insert this value into the simplified equation above:

y = b
y = (3)

We have now proven that the equation of the given line is (y = 3).

I hope this helps!

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Answer:

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