Answer:
1x + 5
Step-by-step explanation:
Since the area of a rectangle of width w and length l is A = l*w,
length = Area / Width.
Here, x^2 + 8x + 15
length of rectangle = ----------------------
x + 3
Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).
-3 / 1 8 15
-3 -15
-------------------------
1 5 0
Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.
Next time, kindly share the answer choices. Thank you.
Answer:
Your answers are correct.
Step-by-step explanation:
The equality will be true for odd multiples of π/4, so the last two choices will not show the expression to be <em>not</em> an identity.
All together: <span>3x + 0.05 + x + x + 0.10 = 7.50
5x + 0.15 = 7.50
5x = 7.35
x = 1.47
</span>1.47 +0.10=1.57<span>
so, the drink costs 1.57 </span>