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DIA [1.3K]
3 years ago
15

Write an inequality to represent the graph. a dashed line passing through points 0 comma negative 3 and 2 comma 2 with shading a

bove it
A.y is greater than two fifths times x minus 3 B. y is less than two fifths times x minus 3 C. y is greater than five halves times x minus 3 D. y is less than five halves times x minus 3
Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer: y > (5/2)*x - 3

Step-by-step explanation:

Ok, the thins we should notice.

The line is shaded, so the values of the line are not solutions of the inequality, then we should use < or >.

The shaded part is above the line, so we have:

y > a*x + b.

A linear relationship can be written as:

f(x) = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, we know that our line passes through the points (0, -3) and (2, 2)

Then the slope is:

a = (2 -(-3))/(2 - 0) = 5/2.

f(x) = (5/2)*x + b.

To find the value of b, we can replace the values of one of the points in the equation, let's use the point (0, -3)

f(0) = -3 = (5/2)*0 + b

-3 = b

Then the line is:

f(x) = (5/2)*x - 3

Then the inequality is:

y > (5/2)*x - 3

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Answer:

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Step-by-step explanation:

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Problem 1 Answer: x = 2/3y+8

Show Work:

Step 1: Add 2y to both sides.

3x−2y+2y=24+2y

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Step 2: Divide both sides by 3.

3x/3 = 2y+24/3

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The product of 2 and the second power of y in algebraic expression
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<span>Algebraic expression of product of 2 and the second power of y
=> Algebraic expression is a combination of integers (numbers), variables (a, b, c, x, y, ….), exponent (2 5 3 …) that is a rational number and algebraic operations like subtraction (-), addition (+), multiplication (x) and division (/).
=> Product – result of multiplication
=> second power of y = y<span>2
</span>=> 2 x y<span>2

</span>Thus, the algebraic expression of product of 2 and the second power of y is equals to 2 x y2

</span>



8 0
3 years ago
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