For linear, the y-differences are equal. An example is the total cost of buying a single type of item.
Quadratic - the 2nd differences are equal,. Example: path of a kicked ball
Cubic - the 3rd differences are equal. Example: modeling the shapes of vases or curved designs
Exponential - the y-ratios are equal. Example: growth of bacteria

8 0

2 years ago

Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x^2 +8x, where y equals the height of the s

andrey2020 [161]

We have that
y = -x²+8x

we know that
when the ball hint the ground is the x-intercepts of the graph
the x-intercepts is for y=0
so
0=-x²+8x--------> x²-8x=0----> x*(x-8)=0

the solution is
x=0
x=8

the x intercepts are the points (0,0) and (8,0)
the distance between the x intercepts points =[8-0]-----> 8 ft

the answer is
8 ft

see the attached figure

6 0

2 years ago

Read 2 more answers

enter an equation in point-slope form for the line. Slope is 7 and (-2,-1) is on the line. The equation of the line in point slo

lutik1710 [3]

Answer:

y + 1 = 7(x + 2)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 7

Point (-2, -1)

Step 2: Write Equation

Substitute in variables into general form.

y + 1 = 7(x + 2)

7 0

2 years ago

Is the length of the hypotenuse of a right triangle with legs that mea-

icang [17]

Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.

4 0

1 year ago