In f(x) = 3x + 2, the x is being represented in the function. So, if we replace the x with the g(x) functions, we get:
f(g(x)) = 3(2x - 4) + 2
f(g(x)) = 6x - 12 + 2
f(g(x)) = 6x - 10
Answer:
B.) y=-4x-2
Step-by-step explanation:
If the line is parallel, the slope is the same
y = -4x-5 has a slope of -4, so the new line has a slope of -4
We have a slope and a point, so we can use point slope form
y-y1 = m(x-x2)
y-6 = -4(x--2)
y-6 = -4(x+2)
Distribute
y-6 =-4x -8
Add 6 to each side
y-6+6 = -4x-8+6
y = -4x-2
Answer:
Each flower is either red or yellow. Each flower is either a tulip or a rose. For these flowers number of tulips:number of roses 6 : 5.
Step-by-step explanation:
Answer:
Step-by-step explanation:
In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:
and
3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and
So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):
* and
and
so
** and, in standard form:
4y = -3x + 29 and
3x + 4y = 29***
* : point-slope form
** : slope-intercept form
*** : standard form
Answer:
y=x+20
or
y= 1x + 20
Step-by-step explanation:
The formula for slope is y= mx+ b
m is the slope and b is the y-intercept (where the line touches the y-axis
