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Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
<u>Solution:</u>
Given that
A construction worker bought several bottles of juice for $3 at the comedian store
She paid for them the $20 bills
Number of bottles of juice is represented by variable J
Need to write an expression for the change she receives.
From given information
Price of 1 juice bottle = $3
<em>Change she receives = Amount she paid - price of J juice bottles
</em>
=> Change she receives = 20 – 3J
Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
Answer:
1.) Zero ( 0 )
2.) 55.47 feet , 8.6 feet
3.) 17.2 feet
Step-by-step explanation:
The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.
1.) Since the equation has no intercept,
The ball will start zero feet above the ground.
2.) The distance of the ball at the maximum height will be achieved by using the formula
X = -b/2a
Where b = 4.3, a = -0.25
Substitutes both into the formula
X = -4.3 / 2( - 0.25 )
X = - 4.3 / - 0.5
X = 8.6 feet
Substitute X into the function to get the maximum height
h(x) = −.25(8.6)^2 + 4.3(8.6)
h(x) = 18.49 + 36.98
h(x) = 55.47 feet
3) As the ball returns to the ground, the height will be equal to zero, therefore,
0 = -0.25x^2 + 4.3x
0.25x^2 = 4.3x
X = 4.3/0.25
X = 17.2 feet
The ball returns to the ground at about 17.2 feet away
