Solve the system by substitution: 3x - y = 21 and y = 6x
1 answer:
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y = 2x + 3
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (- 2, - 1) and (x₂, y₂) = (2, 7)
m = =
= 2
y = 2x + b ← is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 7 ), then
7 = 4 + b ⇒ b = 7 - 4 = 3
y = 2x + 3 ← in slope-intercept form
<u>Answer:</u>
The probability of rolling an even number and then an odd number is Option C is correct
<u>Solution:</u>
Given, You roll a six-sided die twice.
We have to find what is the probability of rolling an even number and then an odd number?
We know that, rolling single die two times is equivalent to two dice rolling at a time.
So, now, total possible outcomes = 6 x 6 = 36
And, number of favourable outcomes = 3 even on 1st die x 3 odd on 2nd die = 3 x 3 = 9
Then, probability =
Hence, the probability of given condition is and option c is correct.