Answer:
B. x = 3
Step-by-step explanation:
The equation can be rearranged to ...
x² -6x +9 = 0
(x -3)² = 0 . . . .show as the square it is
x -3 = 0 . . . . . take the square root*
x = 3 . . . . . . . . add 3
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* If the root were non-zero, there would be two of them: ±√( ). That would give rise to two possible values of x. That is not the case here, so there is only one solution.
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In the attached graph, the red curve represents the left side of the equation. The blue line represents the right side. They are equal at the one point where they intersect: (3, 9). That means when x=3, the equation becomes 9=9.
Answer:
1) $350
2) 55°
3) $300
Step-by-step explanation:
1) The total cost is the cost of the appointment plus the cost of the repair work. The appointment costs $50. The repair work costs $120 per 2 hours. So the total cost is:
C = 50 + (120/2) t
C = 50 + 60t
For 5 hours of work, the cost is:
C = 50 + 60(5)
C = 350
It costs $350.
2) The temperature starts at 70°. It drops 10° in 4 hours. So the temperature after t hours is:
T = 70 + (-10/4) t
T = 70 − 2.5t
After 6 hours:
T = 70 − 2.5(6)
T = 55
The temperature is 55°.
3) Jennie's total pay is her weekly pay plus her commissions. If her commission is x% of her sales, then her pay is:
P = 250 + (x/100) S
When her sales is $1000, her pay is $275.
275 = 250 + (x/100) 1000
275 = 250 + 10x
25 = 10x
x = 2.5
So her pay is:
P = 250 + (2.5/100) S
When S = $2000:
P = 250 + (2.5/100) 2000
P = 250 + 50
P = 300
Her total pay is $300.
Polynomials need to fit these requirements:
-Can't have negetive exponents
-Can't be divided by a variable.
Answer:
8 1/8 total miles walked.
Step-by-step explanation:
I like to make fractions simple so I would do this,
9/4 plus 47/8
Take 8 and your common denominator and solve.
18/8 plus 47/8 = 65/8 which can be put as 8 1/8.
