Answer:
Step-by-step explanation:
Given
Required
Select 3 equivalent expressions
Express 9 as 3^2
--- This is one equivalent expression
Take 
as difference of two squares
-- This is another equivalent expression:
Solving further:
becomes
-- This is another equivalent expression:
Hence, the equivalent expressions are:
Answer:
Step-by-step explanation:
The equation of a proportional relationship: y = mx.
METHOD 1:
We know: If x and y are in a proportional relationshi, then the ratio y/x is constant
We have P(3, 2) and Q(x, 6). Therefore
<em>cross multiply</em>
<em>divide both sides by 2</em>
METHOD 2:
<em>(look at the picture)</em>
The graph of y = mx is a straight line passes through the origin.
Step 1.
Plot point P(3, 2) on the graph.
Step 2.
Draw the line passes through he origin and point P.
Step 3.
Draw the line y = 6 <em>(6 from the coordinates of Q(x, 6))</em>
Step 4.
The intersection of lines is the point Q. Read the coordinte x.
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7
Answers are: A, B, C and E
