Answer:
Ok that's not it
x=-1 then y=4
x=0 then y= 6
x=1 then y = 8
x=2 then y= 10
x=3 then y= 12
Step-by-step explanation:
when y=2x+6
you have to plug what it says x is in each of the equations.
For the first one it says x=-1
you then plug that in and you get y=2(-1)+6
then you go through PEMDAS and first you get y=-2+6
-2+6 = 4
therefore y=4
and you just go through the rest wiht that
Step-by-step explanation:
I would be interested, they help because they allow you to see how much you can use for whatever it is you need. An example would be how much money you can spend per month to still have enough for your bills
Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
Answer:
x= 2
Step-by-step explanation:
5 -2(x +5)= 3x -15
Expand:
5 -2x -2(5)= 3x -15
5 -2x -10= 3x -15
Simplify:
-2x -5= 3x -15
Bring x terms to 1 side, constant to the other:
3x +2x= 15 -5
5x= 10
Divide both sides by 5:
x= 10 ÷5
x= 2