Answer:
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x = − 70 ± √4210/30
Decimal Form:
x = −0.03
Step-by-step explanation:
5x(6x+28)=−23
Step 1: Simplify both sides of the equation.
30x2+140x=−23
Step 2: Subtract -23 from both sides.
30x2+140x−(−23)=−23−(−23)
30x2+140x+23=0
Step 3: Use quadratic formula with a=30, b=140, c=23.
x=−b±√b2−4ac/2a
x=−(140)±√(140)2−4(30)(23)/2(30)
x=−140±√16840/60
x=−7/3+1/30√4210 or x=−7/3+−1/30√4210
Answer:
61.5%
Step-by-step explanation:
Let's find all the demographics first:
Sophomores in the class(total 15):
Female: 5
Male : 10
Freshmen in the class(total 11):
Female: 3
Male: 8
There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.
Answer:
20
Step-by-step explanation:
f(x)= x/5
To solve for f(100), we substitute 100 for x everywhere in the equation:
f(100) = (100)/5
f(100) = 20
The answer is 4.51.............
