Answer:
y = 42
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use an ordered pair from the table.
Using x = 2 when y = 12, then
12 = 2k ( divide both sides by 2 )
6 = k
y = 6x ← equation of variation
When x = 7, then
y = 6 × 7 = 42
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
- P = number of primes less than 100
- Q = number of primes less than 90
Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
Read more;
brainly.com/question/22257959
Answer:
A. y= 2(x - 2)2 + 4
Step-by-step explanation:
vertex having an x value of 2 means the phrase in paren must be x - 2.
This eliminates B and D
vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2
plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10
Answer:
65min.
Step-by-step explanation:
45min. is 20min. less than _______
45 = x - 20
x = 45 + 20
x = 65