f(x) = 5x²
f(10) = 5(10)² = 5(100) = 500
f'(x) = 10x
f'(10) = 10(10) = 100
Now, find the line that passes through (10, 500) and has a slope of 100
y - y₁ = m(x - x₁)
y - 500 = 100(x - 10)
y - 500 = 100x - 1000
y = 100x - 500
Answer:
a and c
Step-by-step explanation:
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a
V = 15 × 2 × 7 = 210 ← correct volume
b
V = 14 × 3 × 7 = 294 ← incorrect volume
c
V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
10% of what is 9...
0.10x = 9
x = 9/0.10
x = 90.....he has 90 all together
The coordinate of point R is 11/40, so the correct option is C.
<h3>
How to find the coordinate of point R?</h3>
On the number line we can see that:
M = -1/4
T = 5/8
There are 5 segments between T and M, and the difference between T and M is:
5/8 - (-1/4) = 5/8 + 2/8 = 7/8
The measure of each segment will be equal to:
m = (7/8)/5 = 7/(8*5) = 7/40
Now, coordinate R is 2 segments to the left of T, so the coordinate of point R is given by:
R = 5/8 - 2*(7/40)
R = 25/40 - 14/40 = 11/40
The correct option is C.
If you want to learn more about number lines:
brainly.com/question/4727909
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