The linear rule should look like this y=a*x+b
As the function graph goes through the (0,0) point, the equation 0=a*0+b <=> b=0 must be true.
Now we only need to find a, using one of the points given. With (-4, 16):
16=-4*a <=> a=16/-4 <=> a= -4
So the rule looks the following way:
f(x)= -4*x
Aaron is 11 and Laura is 12.
Answer:
17
Step-by-step explanation:
f(x)=3x+2
Let x = 5
f(5)=3*5+2
Multiply first
f(5) = 15+2
Then add
= 17
Answer: y = 6x + 22
Step-by-step explanation:
Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.
Now to find c, put (-3,4) to this equation since the line passes through the point.
4 = 6 × -3 + c
4 = -18 + c
4 + 18 = c
c = 22
So, equation is y = 6x + 22
The geometric mean of two numbers x and y is √(xy).
So, if the geometric mean of 3 and a is 9 =>
9 = √(3a)
=> 9^2 = 3a
=> a = 9^2 / 3
a = 81 / 3
a = 27
Answer: the value of a is 27.
