7/6X=140
X=120
That's your answer.
Slope-intercept form: y = mx + b
The answer is:
y = -5x - 1
Happy to help!
Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,
Now, the number of boys is
Therefore, 14 students in the club are boys.
Answer:
f(x) is negative and g(x) is positive
Step-by-step explanation:
f(x) = 4-x
Rewriting
f(x) = -x+4
We recognize this as
y= mx+b or the representation of a line with slope -1 and y intercept 4
f(x) is linear
g(x) as we increase x by 1 we increase g(x) by 2
The slope is 2, and the y intercept is 1
y = 2x+1
Lets check a point
(2,5)
5 = 2(2)+1
5=5 so we are correct
f(x) is negative and g(x) is positive
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
