Answer:
x = 0
Step-by-step explanation:
First, distribute the -4 to the parentheses:
-4 + 3x = 2x - 4(1 - 3x)
-4 + 3x = 2x - 4 + 12x
Then, add like terms:
-4 + 3x = 14x - 4
Solve for x:
3x = 14x
0 = 11x
0 = x
Answer:
27 ft
the maximum height of the arrow is 27 ft
Step-by-step explanation:
Given;
The height of the arrow is given by the function;
h(t) = -16t^2 + 32t + 11
Maximum height is at point when dh(t)/dt = 0.
Differentiating h(t), we have;
dh/dt = -32t + 32 = 0
Solving for t;
-32t = -32
t = -32/-32 = 1
t = 1 (time at maximum height is t = 1)
Substituting t=1 into h(t), to determine the value of maximum height;
h(max)= -16(1^2) + 32(1) + 11
h(max) = 27 ft
the maximum height of the arrow is 27 ft.
Hrs worked = 9.25 + 8.75 + 9 + 8.25 + 9 = 44.25 hrs. (44.25 - 40 = 4.25 hrs overtime)
<span>40 hrs * $9.32 = $372.80 (Straight time) </span>
<span>$9.32 * 1.5 = $13.98 (Overtime rate) </span>
<span>4.25 (Overtime hrs.) x $13.98 (Overtime rate) = $59.42 (Overtime pay) </span>
<span>$372.80 + $59.42 = $432.22 (Total gross pay)</span>
Answer: 24cm
Step-by-step explanation:
Inradius = r
c = the hypothenuse
a & b = the other 2 sides of the triangle
Inradius formula: r = 1/2 * (a+b-c)
Plug in what we know.
2 = 1/2 * (a+b-10)
Multiply both sides by 2.
2*2 = 1/2 * (a+b-10) * 2
4 = a+b-10
Add 10 to both sides.
4+10 = a+b-10+10
14 = a+b
Perimeter formula: P=a+b+c
Plug in what we know
(remember a+b=14).
P=14 + 10
P = 24
Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation: