Answer:
<em>after 4seconds</em>
Step-by-step explanation:
Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.
Substitute h(t) = 0 into the expression and calculate t;
h ( t ) = − 8 t^2 + 32 t
0 = − 8 t^2 + 32 t
8t² = 32t
8t = 32
Divide both sides by 8
8t/8 = 32/8
<em>t = 4s</em>
<em>Hence the football hits the ground after 4seconds</em>
Answer:
x=-5/7
Step-by-step explanation:
Answer:
z = 96; x = 8.
Step-by-step explanation:
z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.
The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.
5x + 44 + 96 = 180
5x + 140 = 180
5x = 40
x = 8
Hope this helps!
Answer:
20
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.
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<em>Additional comment</em>
Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")
The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.
