88+ 92+ 82+ 94 + x
———————————— = 90
5
x= 5th test
The discriminant of a quadratic equation determines the nature of the roots of the equation whether they are rel or imaginary. The formula for determining the discriminant is
d = b2 - 4acd = 36 - 4*3*3 = 0This means there is only one real number root.
Given the equation in 2, it can be projected that for every y, there are two x's (negative and positive) equivalent. The vertex would lie below the x-axis. Answer is B
Answer:
36 Teachers in Total
Step-by-step explanation:
I would use Ratio.
Students: 128 + 121 + 135 = 384 total students
Teachers: Students
3 : 32
36 : 384
384 ÷ 32 = 12
12 x 3 = 36
Find the price of 1 wing:
9.50 / 5 = 1.90 per wing
Divide total spent by price per wing:
26.60 / 1.90 = 14
Answer: 14
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
