Answer:
a=
or 
Step-by-step explanation:
Equate the equation to zero
-9a+2=0
-5a-4a+2=0
5a(2a-1)-2(2a-1)=0
Write out the factors
(5a-2)(2a-1)=0
Then equate each factor to zero
5a-2=0 OR 2a-1=0
5a=2 OR 2a=1
a=
OR a= 
a=
or 
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²
Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in
The surface are of a cylinder is:
A = 2πr² + 2πrh
The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in²
Rectangular cake:
w = 6 in
l = 9 in
h = 2 in
The surface are of a rectangle is:
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
= 54 + 24 + 36
= 114 in²
Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.
Answer:
The y-intercept is 6
Step-by-step explanation:
The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.
For this particular function, when x = 0 ⇒
f(0) = 0^2 + 4(0) + 6
= 0 + 0 + 6
= 6
Therefore, the y-intercept of this function is 6
Answer:
(a) 
(b) We cross multiply the probability by the total voters
(c) 9347
Step-by-step explanation:
(a)
Probability of getting a republican voter is


These are found by dividing the first numerator and denominator by 2, then by 3
To make it complete, the situation is therefore defined as
where y is unknown value
(b)
Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.
(c)
Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields

The answer is negative -2 so im going to go with D