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PilotLPTM [1.2K]
3 years ago
9

BRAINLEST TO THE PERSON WHO CAN ANSWER BOTH !

Mathematics
1 answer:
mariarad [96]3 years ago
3 0

Answer:

Question 7: False, False, true

Question 8: B

Step-by-step explanation:

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Which inequality is represented by the graph?
Taya2010 [7]

Answer:

Option B

Step-by-step explanation:

Notice that the region of the inequality is bounded by a line.

The first thing to do is find the equation of this line.

Note that the line intersects the x-axis at x = 3.5 and intercepts the y-axis at y = -2.5

We know that the equation of a line has the following form:

y = mx + b

Where m is the slope of the line and b is the intercept with the y axis.

So we already know that:

b = -2.5 = -\frac{5}{2}

Then we know that when x = 3.5 then y = 0

Thus:

0 = 3.5m -2.5

Ahroa we clear m.

m = \frac{2.5}{3.5}\\\\m = \frac{5}{7}

Then, the equation of the line is:

y = \frac{5}{7}x -\frac{5}{2}

We can also multiply by -2 both sides of the equation and we have:

-2y = -\frac{10}{7}x +5

Then:

\frac{10}{7}x -2y =5

The option that contains this equation is option B.

To verify it, enter a point within the shaded region, such as the point (0,0), in the selected inequality. If the inequality is satisfied then option B is correct

\frac{10}{7}x -2y\leq5\\\\\frac{10}{7}(0) -2(0)\leq5\\\\0\leq5

The inequality is satisfied because 0 is less than 5. Then the correct option is B

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3 years ago
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