Answer:
2
Step-by-step explanation:
slope = rise/run
slope = (12-4)/(6-2) = 8/4 = 2
Answer:
g(x) has a greater average rate of change
Step-by-step explanation:
From the given information, the table is:
<u>x | g(x)</u>
-1 7
0 5
1 7
2 13
From this table, we have g(0)=5 and g(2)=13
The average rate of change over [a,b] of g(x) is given by: 
This implies that on the [0,2]. the average rate of change is:
Also, we have that: f(0)=-4 and f(2)=-1.
This means that the average rate of change of f(x) on [0,2] is
Hence g(x) has a greater average rate of change on [0,2]
Answer: option iii
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
Explanation:
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
First side is = 16.2 cm
Second side is = 16.2 cm
Third side = half of 16.2 = 8.1 cm
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
Answer:
$130.7086
Step-by-step explanation:
List price of phone answering system = $99.86
Handset cord = $8.95
Telephone wire = 45 cent/foot ; length = 50 feet
Rebate on phone system = $5
Store coupon =$1 of each accessory
Sales tax = 6% on final price
Price before coupon = (99.86 + 8.95 + (50*0.45)) =$131. 31
Number of accessories = 3
Total coupon = $5 + ($1 * 3) = $8
Price after coupon = final price : $131.31 - $8 = $123.31
Sales tax = 0.06 * $123.31 = $7.3986
Amount paid = $123.31 + $7.3986 = $130.7086
14 inches. A 30-60-90 triangle has a set ratio for the sides which is x:x√3:2x for the sides opposite the corresponding angle. (30 = x, 60 = x√3, 90 =2x) the shortest side is the side opposite the 30-degree angle so x=7. The hypotenuse is the side opposite the 90-degree angle. they hypotenuse = 2x. Substitute x. 2(7)=14
