Find the slope and y-intercept of the line.

1 answer:

6 0

Using the slope-intercept form, the slope of the line is 1 (Imagine there is a 1 in front of the x) and the y-intercept is -5. The answer is D.

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Solve the following system of equations using elimination

NARA [144]

Answer:

Well elimination is basically multiplying a number to make it possible for it to cancel out

We can multiply the first equation by 2

2(x+2y=-1)

This would be

2x+4y=-2

Its still the same thing but just with non simplified numbers

We can now do any method really to solve

I will just do the subtraction method

2x+4y=-2

-2x+y=4

Solve

2x-2x=0

4y-y= 3y

-2-4= -6

3y= -6

Now solve

y=-2

To find x subsitute in “y” and find ”x”.

x+2*-2=-1

x-4=-1

x=3

y= -2

x= 3

4 0

3 years ago

The position of a ball after it is kicked can be determined by using the function f left parenthesis x right parenthesis equals

Citrus2011 [14]

Answer:

When kicked, the height of the ball is 1 feet. The highest point for the ball's trajectory is 12 feet.

Step-by-step explanation:

We are given that the height is given by $f(x)=-0.11x^2+2.2x+1$ . The distance between the ball to the point where it was kicked is 0 right at the moment the ball was kicked. So, the height of the ball, when it was kicked is f(0) = -0.11*0 + 2.2*0 +1 = 1.

To determine the highest point, we will proceed as follows. Given a parabola of the form x^2+bx + c, we can complete the square by adding and substracting the factor b^2/4. So, we get that

$x^2+bx+c = x^2+bx+\frac{b^2}{4} - \frac{b^2}{4} +c = (x+\frac{b}{2})^2+c-\frac{b^2}{4}$ .

In this scenario, the highest/lowest points is $c-\frac{b^2}{4}[/tex} (It depends on the coefficient that multiplies x^2. If it is positive, then it is the lowest point, and it is the highest otherwise). Then, we can proceed as follows. [tex] f(x) = -0.11x^2+2.2x+1 = -0.11(x^2-20x)+1$