Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? A) less than 25 B) less th
1 answer:
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Step-by-step explanation:
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Answer:
D. y = 2x² + 1
E. y = x²
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which a is the slope and b is the y-intercept. A constant function is linear, as it is the special case in which a = 0.
In this question:
In options D and E, the highest exponent of x is 2, which means that they are not linear functions, and so these options are the answer.
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have , which equals zero when
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
