Answer:
1. √32
2. 4
3. 5
4. √29
5. √10
6. 5√2
Step-by-step explanation:
Use Pythagoras
Answer:
3(a + 5b + 7c) and 2x(2 + 5y + 11z)
Step-by-step explanation:
3a + 15b + 21c
3(a + 5b + 7c)
4x + 10xy + 22xz
2x(2 + 5y + 11z)
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4
Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1
Simplify the equation
2x + x = 4 - 1
3x = 3
Move 3 on the left side to the right side, it becomes denominator
3x = 3
x = 3/3
x = 1
The solution to the equation is
x = 1
Answer:
T = n + 132
Step-by-step explanation:
Initially you have n dollars in your bank account.
Since the question doesn't ask or concern the future or present value of money, after depositing $132 you will totally (T) have:
T = n + 132
<h3>
Answer: B) 47%</h3>
Work Shown:
A = event that the person has math degree
B = event that the person has a computer science degree
P(A) = 0.23, since 23% of the people have a math degree
P(B) = 0.31, similar reasoning as above, just different number
P(A and B) = 0.07
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.23 + 0.31 - 0.07
P(A or B) = 0.47
The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.
There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).
It might help to set up a venn diagram to see why that formula above works.
