Answer:
x³ - 2x² + 2x - 2
Step-by-step explanation:
f(x) - g(x)
= 2x³ - 4x² + 2 - (x³ - 2x² - 2x + 4) ← distribute by - 1
= 2x³ - 4x² + 2 - x³ + 2x² + 2x - 4 ← collect like terms
= x³ - 2x² + 2x - 2
Regular cost of a sweater = $35
Percentage of sale on sweaters 25%
Amount of discount on the sweater = (25/100) * 35
= 35/4
= 8.75
So
Discounted price of the sweater at Macys = (35 - 8.75) dollars
= 26.25 dollars
Percentage of discount that Tony gets due to the discount coupon = 15%
So
Amount of discount that
Tony gets because of the discount coupon = (15/100) * 26.25
= 393.75/100
= 3.94 dollars
So the amount that Tony pays for the sweater = (26.25 - 3.94) dollars
= 22.31 dollars
So Tony pays $22.31 for the sweater at Macys.
Answer:
Your age(a) is 15 in this case.
If your brother is 1/3 of your age, that means multiply your brother's age by 3
Your sister is 9, and is 4 years older than your brother. In that case, we now know that your brother is 5
With that information, we can put this into a valid equation.
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<em>turn 1/3 into a flipped fraction, 3/1 which is equal to 3</em>
<em>your brother's age is 5, so the first value would be 5</em>
<em>5 times 3 is 15, so that means a is 15</em>
y = mx + b
The product of slopes of perpendicular lines is -1. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
y = (-1/2)x + b
Now use the given point to find b and finish from here.
-5 = (-1/2)(2) + b
b = ?
