Answer:
20 = 6m or m = 20/6 = 10/3
Step-by-step explanation:
Let's say Samantha has s marbles and Paul has m marbles.
We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.
Substitute 20 in for s:
20 = 6m
m = 20/6
Thus, the equation is m = 20/6.
<em>~ an aesthetics lover</em>
There are 151,200 possible combinations. If you'd like an explanation of my answer, please let me know.
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
__
(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)
Answer:
hypotenuse is 22.47 m
Step-by-step explanation:
The length of both legs of a right angle triangle are 8m and 21 m
We need to find the hypotenuse
To find hypotenuse we use Pythagorean theorem
Hypotenuse is AC and other two legs are AB and BC

Hypotenuse ^2 = 8^2 + 21^2
hypotenuse = 
= 
= 
= 22.47
So the length of the hypotenuse is 22.47 m
Total $129
129 - 24 = 105
105 / 3 = 35
Scot saves $35 last month