So the original price is "x".
the discounted price by 10% is P(x) = 0.9x.
the price minus a $150 coupon is C(x) = x - 150.
so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.
C( P(x) ) = P(x) - 150
C( P(x) ) = 0.9x - 150
80 x 3/10 = 240/10 = 24 times
Answer: True, False, False, False, False
<u>Step-by-step explanation:</u>
a) 5x - 7(x - 1)
5x - 7x + 7
-2x + 7 ⇒ a = -2, b = 7 <em>One Solution</em>
b) 3(x - 5) - 7
3x - 15 - 7
3x - 22 ⇒ a = 3, b = -22 <em>One Solution</em>
c) 2 - 7x + 3 + 4x
4x - 7x + 3 + 2
-3x + 5 ⇒ a = -3, b = 5 <em>One Solution</em>
d) -3(x - 3) - 1
-3x + 9 - 1
-3x + 8 ⇒ a = -3, b = 8 <em>One Solution</em>
e) -5x + 2 + 2x + 4
-5x + 2x + 2 + 4
-3x + 6 ⇒ a = -3, b = 6 <em>One Solution</em>
Answer:
Step-by-step explanation:
All the interior angles are of measure 60 degrees.
We want to find the height of this triangle. Call it h. On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.
The ratio of height to base is the tangent of 60 degrees:
h
tan 60 degrees = --------------
5
h
and tan 60 degrees = 1.73 = ------
5
Multiplying both sides of this equation by 5 yields h = 8.66. This is |BD|. This is the same as Answer B.
