1. determine the defined range
2. write all numerators above the common denominator
3. remove parenthesis
4. collect like terms
5. multiply both sides by (2x+1) x (2x-1)
6. simplify the product
7. multiply parenthesis by -4
8. cancel equal terms
9. move constant to the right
10. add the numbers
11. divide both sides by 6
ANSWER: x = 11/6
I used the substitution method.
The first equation is what I used: y=-6x+9.7
So I plugged in y in the second equation.
4x + 2(-6x+9.7)= 9.8
4x-12x+19.4=9.8
Combine like terms
-8x+19.4=9.8
Subtract 19.4 on both sides
-8x=-9.6
Divide by -8 on both sides and you get
x=1.2
If you wanted to find y use either equation and plug in for x with the value of x!
There’s 100 students in the drama club and 84 students in the yearbook club
Answer:
1/12
Step-by-step explanation:
Probability is the result of the number of possible outcome divided by the number of total outcome.
Given that the box contains a red shirt, a blue shirt, a black trouser, and a red trouser, the number of total outcome is
= 1 + 1 + 1 + 1
= 4
The possibility of picking;
a black trouser is
= 1/4
then a red (without replacement, the total outcome drops to 3)
= 1/3
Hence, the probation choosing the black trouser and the red shirt without replacement
= 1/4 * 1/3
= 1/12
We must solve the quadratic equation
4x² + 98 = 0
using the quadratic formula.
First simplify the equation by dividing both sides by 2:
2x² + 49 = 0
Identify the coeficients:
a = 2
b = 0
c = 49
Calculate delta:
Δ = b² - 4ac
Δ = 0 - 4.2.49
Δ = 0 - 392
Δ = -392
Now let's apply the quadratic formula:
x = (-b ± √Δ) / 2a
x = (-0 ± √-392) / 4
x = ± 14√2i / 4
x = ± 7√2i / 2
So
x' = -7√2i / 2
x'' = 7√2i / 2
Answer: the roots are x' = -7√2i / 2 and x'' = 7√2i / 2