Answer:
m = 19
Step-by-step explanation:
With a rate of change of -8
27 - 8 = 19
16 - 8 = 11
so m = 19
y - 5 = -7(x - 6)
the equation of a line in ' point- slope form ' is
y - b = m(x - a )
where m is the slope and (a, b) a point on the line
here m = - 7 and (a, b ) = (6, 5 )
y - 5 = - 7(x - 6 ) ← in point- slope form
5+12= 17+21= 38+8= 46+11=57
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
No, the estimate should be higher.
average of 23 and 27 = (23 + 27) ÷ 2 = 25
average of 1 and 3 = (1 + 3) ÷ 2 = 2
estimate weight per case = 25 x 2 = 50 pounds
There are 4 cases
50 x 4 = 200 pounds