<span>1.) In numbers from 1 to 12, there are 4 numbers that are divisible by 3 (3,6,9 and 12), meaning there will be 4 possible outcomes if a number will be drawn from 12 numbers. The probability of drawing a number divisible by 3 is 4/12 or 1/3.
2.) In the movie drawer, there are 15 movies, seven are action movies, five comedies, and three dramas. The probability of choosing an action movie is 7/15, while a comedy is 5/15. The probability of choosing an action or a comedy is higher at (7/15+5/15) or 12/15 equivalent to 4/5.
3.) Having drawn 8 black marbles and 2 white marbles from a bag of 100 marbles give a probability of 8/10 (4/5) for black marbles and 2/10 (1/5) for white marbles. If there are 100 marbles, we can predict that there are 4/5(100) equivalent to 80 marbles in the bag.</span>
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4.) On a youth soccer team, three out of 12 team members have played in previous years. Based on this information, if 180 kids are in the youth soccer league, then the number of members who could be expected to have played the year before is 3/12 or ¼ of 180 which is 45. </span>
Hello,
(f-g)(x)=3x²+1-1+x=3x²+x
(f-g)(2)=3*2²+2=3*4+2=14
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
Answer:
Hello :
the slope of the line when equation y = x +3 is : 1
the equation in slope-intercept is : y - (-1) = 1 (x -0)
y + 1 = x
