It has no real solutions. To be precise, no real zeros (or roots).
The zeros (here called "solutions", I guess) are the points where the function intersects the x-axis: at those points the value of the function is zero. So they are solutions to the equation f(x)=0.
This function does not intersect the x-axis. Hence, no solutions.
Take the equation: y = 520 + 14x and put each value from the table in for x and y.
100 = 520 + 14 * -30
100 = 520 + -420
100 = 100 When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.
So, you would work through each line in the table. If they are all like the one above, the answer is Yes. If not, it is no.
Both equal y so set equal to each other
-x+7=-0.5(x-3)^2+8
times both sides by -2
2x-14=(x-3)^2-16
expand
2x-14=x^2-6x+9-16
add 14-2x to both sides
0=x^2-8x+7
factor
0=(x-7)(x-1)
set to zero
0=x-7
7=x
0=x-1
1=x
so find y
y=-x+7
y=-1+7
y=6
or
y=-7+7
y=0
so the solutions are
(-1,6) and (-7,0)
Answer:
(A)3,500 + 0.06x > 4,000 + 0.04x
Step-by-step explanation:
<u>Jose's Earnings</u>
Monthly Salary = $3,500
6% commission on his sales, x =0.06x
Total = 3500+0.06x
<u>Maris' Earnings</u>
Monthly Salary = $4,000
4% commission on her sales, x =0.04x
Total = 4000+0.04x
If Jose's earnings be greater than Maris' earnings, then:
3500+0.06x > 4000+0.04x