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4vir4ik [10]
3 years ago
11

4. What is the slope of the equation? y = -x + 3​

Mathematics
2 answers:
Luba_88 [7]3 years ago
6 0

Answer:

y = mx + b is  the "slope-intercept" form of the equation of a line ;

We have y = -x + 6 ;

Then, m = - 1 ;

The "point-slope" form of the equation of a straight line is:

y - y1 = m(x - x1) ;  

But, x1 = - 3 and y1 = 8 ;

We have y - 8 = (-1)( x + 3 );

Finally, y - 8 = -( x + 3 );

The right answer is the fourth choice;

________________________________________

y – 3 = (x – 1) ; the equation becames

y = x + 2 ;  

The right answer is the third choice;

Step-by-step explanation:

Zarrin [17]3 years ago
3 0

Answer:

The slope of the equation is -1

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Answer:

Step-by-step explanation:

The first parabola has vertex (-1, 0) and y-intercept (0, 1).

We plug these values into the given vertex form equation of a parabola:

y - k = a(x - h)^2 becomes

y - 0 = a(x + 1)^2

Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:

1 = a(0 + 1)^2, and from this we know that a = 1.  Thus, the equation of the first parabola is

y = (x + 1)^2

Second parabola:  We follow essentially the same approach.  Identify the vertex and the two horizontal intercepts.  They are:

vertex:  (1, 4)

x-intercepts:  (-1, 0) and (3, 0)

Subbing these values into y - k = a(x - h)^2, we obtain:

                                            0 - 4 = a(3 - 1)^2, or

                                                -4 = a(2)².  This yields a = -1.

Then the desired equation of the parabola is

y - 4 = -(x - 1)^2

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3 years ago
Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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