Let x = cost of one cheese pizza.
Let y = cost of one pepperoni pizza.
Set up a system of equations.
6x + 7y = 153.50
2x + 2y = 47.00.
Multiply the second equation by -3
6x + 7y = 153.50
-6x - 6y = -141.00.
Add the equations together
y = $12.00.
Plug 12 into one of our original equations.
2x + 2(12) = 47.
Simplify the left side.
2x + 24 = 47.
Subtract 24 from each side.
2x = 23.
Divide each side by 2
x = $11.50
In conclusion, one pepperoni pizza costs $12.00
Answer:
The error is in the middle: 2(-12) = -24 not 24.
Step-by-step explanation:
Answer:
signs of the constants in the binomial factors are negative
Step-by-step explanation:
Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.
2x^2 -7x +6 = (x -2)(2x -3)
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<em>Further comment</em>
c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.
b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.
In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.
For T = 89.5 degrees C:
E(t) = 1100(90 - 89.5) + 520(90 - 89.5)^2= 1100(0.5) + 520(0.5)^2= 550 + 130= 680 m
For T = 90 degrees C:
E(t) = 1100(90 - 90) + 520(90 - 90)^2= 0 + 0= 0 m (meaning that boiling point is 90 degrees C at ground level)
