Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
let the number of
Total number of people : adults + children
Total money earned from adults :
Total money earned from children :
Therefore, total money = money earned from each Adult and children.
Now, let's plug the value of x from equation [1] into equation [2]
let's plug the value of y in equation [1]
Hence, we get :
Correct option is C
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Answer:
{(0,0),(0,1),(1,2),(1,3)}
Step-by-step explanation:
If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on
3/7 = 9/x
cross multiply because thats how u solve proportions
(3)(x) = (7)(9)
3x = 63
x = 63/3
x = 21
and if u will notice : 3/7 and 9/21 ....9/21 reduces to 3/7....so these are equivalent fractions...because proportions are nothing but equivalent fractions
Answer: The term 0.040(30h) represents the amount of tax she must pay.
Explanation:
The functin 0.04(30h) + 30h, has two terms; the second term, 30h, represents cost due to h hours at at unit of 30, and the first term 0.04(30h) is the additional amount due to the taxes over h hours at the unit rate of 30.
When you add a tax rate of 4% to 30h, you get the the amount of taxes over the 30h.
The calcualtion is: (4/100)×(30h) = 0.04(30h). Hence, you conclude that 0.04(30h) is the amount of tax she must pay.
