Answer:
Step-by-step explanation:
a) Area of shape A= 17 (15z+1)
Area of A = 255z+17
b) Area of shape B
One way to find the solution is to take the area of
bigest rectangle ( z+z+8)*(z+4+6)
and subtract the two small rectangles
(z*(14-10)) and
(6*8)
Area of B= [(2z+8)(z+10)] -4z-48
=2z²+ 20z +8z +80 -4z-48 combine like terms
=2z² +24z +32
c) 225z+17 -2z² -24z -32 =
-2z²+201z -15
Answer:
The answer to number 9 is: 148.16
Answer:
Option "A" is correct
Step-by-step explanation:
P(A) probability of event A is true
P(B) probability of event B is true
P(AB) probability of event AB is true
P(BA) probability of event BA is true
P(AB)= (BA) × (A)/(B)
Given:
x: [1 2 3 4 5 6 7]
y: [9 9.5 10.25 11.25 12.5 14 15.75]
Let the function which models the data be
y(x) = ax² + bx + c
Apply the function to the first three data points
a + b + c = 9 .(1)
4a + 2b + c = 9.5 (2)
9a + 3b + c = 10.25 (3)
Subtract (1) from (2).
3a + b = 0.5
or
b = 0.5 - 3a (4)
Subtract (1) from (3).
8a + 2b = 1.25 (5)
Substitute (4) into (5).
8a + 2(0.5 - 3a) = 1.25
2a = 0.25
a = 0.125
From (4),
b = 0.5-3*0.125 = 0.125
From (1),
c = 9 - 0.125 - 0.125 = 8.75
The function is
y = 8.75 + 0.125x + 0.125x²
Check that the function works for x=4,5,6,7.
From the calculator, obtain
y(4) = 11.25 Correct
y(5) = 12.5 Correct
y(6) = 14 Correct
y(7) = 15.75 Correct
The graph of the function is shown below.
Answer: y = 8.75 + 0.125x + 0.125x²
Answer:
<h2>E. x = 4</h2>
Step-by-step explanation:
