Answer:
x + 3
Step-by-step explanation:
Given
(8x - 6) - (7x - 9)
Distribute the first parenthesis by 1 and the second by - 1
= 8x - 6 - 7x + 9 ← collect like terms
= x + 3
Answer:
Step-by-step explanation:
it has no solutions b/c the lines are parallel...but at a different offset.. so they never cross
Answer:
domain: {x | x is a real number}
range: {y l y> -8}
Step-by-step explanation:
f(x) = 4x² – 8 is a parabola, a U shape.
Since the stretch factor, 4, is positive, it opens up, there it will have a minimum value, the lowest point in the parabola.
y > -8 because the minimum is -8.
Parabolas do not have restricted "x" values. "4" does not restrict x because it is the stretch factor, which determines how wide the parabola is.
Quadratic standard form:
f(x) = ax² + bx + c
"a" represents how wide the graph is. If it's negative it opens down, if it's positive it opens up.
"b", if written, tells you it is not centred on the y-axis. It is not written, so the vertex is on the y-axis.
"c" is the y-intercept. In this case, since b = 0, it is also the minimum value.
Answer:
<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>
Step-by-step explanation:
We'll analyze both choices for the compensation plans of a salesperson.
One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:
P1=250+25x
Where x is the number of stereos sold.
The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:
P2=50x
To find the equilibrium point for both plans, we make P1=P2:
250+25x=50x
Simplifying:
25x=250
Solving:
x = 250 / 25 = 10
The salesperson needs to sell 10 stereos to make the same money on both plans
