Answer:
y=1/2x
Step-by-step explanation:
Slope intercept form is the most commonly used linear equation:
It goes like this:
In this equation, m is the slope and b is the y-intercept.
Your line has a slope of 1/2. So, your m-value is 1/2.
y=1/2x+b
B, your y-intercept, is at the origin.
The origin is the point (0,0).
So b, is 0 (y-intercept is the y-value when x is 0)
y=1/2x+0
=
y=1/2x
Answer: 27a^3
It is 27a^3 because if you do 3×3=9 then 9×3= 27
Answer:
Odd function
Step-by-step explanation:
So to see if a function is odd or even we need to plug in a negative x for x, so f(-x)=4(-x)^3-5(-x). This produces -4x^3+5x, which is the exact opposite of the original equation, so it is an odd function. If it were even, then the signs of the coefficients would be the same as the original function.
Answer:
72
Step-by-step explanation:
This is assuming the following:
1) fork boxes comes with 12 count.
2) spoon boxes comes in 18 count.
3) knife boxes comes in 24 count.
Find the least common factor:
12: 12, 24, 36, 48, 60, 72
18: 18, 36, 54, 72
24: 24, 48, 72
72 is the least common factor shared by all these numbers.
~
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)
Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.
Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
