Answer:
y= 3/2x- 4
Step-by-step explanation:
3/2 = mx
b= -4
y=mx+b
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.
Answer:

Step-by-step explanation:
Given:

Required:
f(g(x))=?
Solution:
let f(g(x))=f(X), where X=g(x)
so 
put X=
, we get


Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let l represent the length of the string, hence:
sin(28) = 75/l
l = 159.75 feet
Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.
Find out more on equation at: brainly.com/question/2972832
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Answer:
1: 75 degrees
2: 112 degrees
3: 125 degrees
4: 67 degrees
Step-by-step explanation: