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soldi70 [24.7K]
3 years ago
10

Determine whether the ordered pair is a solution to the inequality. (-1, -1); y Greaterthanorequalto - x + 7 (5, 3); y > 3/4

x - 5
Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

No and Yes.

Step-by-step explanation:

The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:

-1≥ -(-1)+7

-1 ≥ 1+7

-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.

On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:

3>(3/4)(5)-5

3>(15/4)-5

3> -5/4 and this is true, so (5,3) is a solution of  y>(3/4)x-5.

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Find j(3x^4y^7) if j(n)=n^3
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Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x-(4*y-7)=0

STEP

1

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Equation of a Straight Line

1.1     Solve   3x-4y+7  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y+7  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

 y-intercept = 7/4  =  1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

 x-intercept = -7/3  = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

 Slope = 1.500/2.000 = 0.750

 x-intercept = -7/3 = -2.33333

 y-intercept = 7/4 = 1.75000

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Answer:

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Step-by-step explanation:

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