(x^2 - 3x + 1) - (x^2 + 2x + 7)
Distribute the negative
x^2 - 3x + 1 - x^2 - 2x - 7
Combine like terms
-5x - 6
Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:
Bag 2:
Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.
For bag 1:
For bag 2:
The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
<h3>
Answer: <u>
100 ft</u>
is the hypotenuse</h3>
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Work Shown:
a = 60 and b = 80 are the two known sides
c is the unknown hypotenuse
Applying the pythagorean theorem gets us...
a^2 + b^2 = c^2
60^2 + 80^2 = c^2
3600 + 6400 = c^2
10,000 = c^2
c^2 = 10,000
c = sqrt(10,000)
c = 100
A quick way to see that 100 ft is the missing side is to note that a 6,8,10 right triangle scales up to 60,80,100 after multiplying all three sides by 10.
Or you could start with a 3,4,5 right triangle and multiply all three sides by 20.
-4 is greater than - 10 because -4 is closer to 0 than -10 is
Y=12+2x
y represents the number of pieces she now knows, x represents the number of weeks she has taken lessons, 2 is the slope (the number of pieces she'll learn each week), and 12 is the y intercept (the number of pieces she knew before taking lessons).
To solve the equation for 11 weeks, we replace x with 11.
2×11+12= 24
y=24
