If a person bought 8 items and each item was priced at $4, that means the total amount spent was $32.
The person received 8 dollars in change. This means that the person payed 8 dollars more than what they spent. Well, we just found out how much they spent, so we can find out how much money the person gave the vendor.
Let p = amount of money paid by the person.
The person gave the vendor $40.
The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.
The total speed is (120 mi)/(3 h) = 40 mi/h.
The speed ratio is ...
... Bill : Joe = 3 : 1
so the speed ratio Bill : Total is ...
... 3 : (3+1) = 3:4.
Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.
Answer:
in steps
Step-by-step explanation:
upper square: P = 20x² + 8
<u>side: P/4 = 5x² + 2</u>
<u>A = side² = (5x² + 2)² = 25x⁴ + 20x² + 4</u>
Middle equilateral Triangle: A = x² + 4x + 4 base = 2x + 4
A = base x height / 2
(x + 2)² = 2 (x + 2) x height /2
<u>height = x + 2</u>
<u>perimeter = 2 (x + 2) x 3 = 6x + 12</u>
Lower trapezoid: A₁ = 2x² + 24x + 40 = 2 (x² + 12x + 20) = 2 (x + 2) (x + 10)
A₁ = (x + 10)² = 2 (x + 2) (x + 10)
x + 10 = 2x + 4
x = 6
<u>A₂ = (2x + 4) (x + 10) / 2 = (16 x 16) / 2 = 128</u>
A₁ = (6 + 10)² = 256
<u>AT = 256 + 128 = 384</u>
Answer:
last graph
Step-by-step explanation:
Graphs of functions that are ODD, are symmetric about the origin.
Graphs of function that are EVEN, are symmetric about y-axis.
We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.
Graph 1, 2, 3 ---- not symmetric about y-axis
Graph 4 ------- Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.
