Answer:
g(3) = -5
Step-by-step explanation:
g(x) = -x - 2
g(3) = -3 - 2
g(3) = -5
Answer:
8 inches
Step-by-step explanation:
V= Volume
A= Base
H= Height
<em>Formula: H= V÷A</em>
336in÷ 42in²= 8in
Answer:$259
Step-by-step explanation:
since we need to increase $250 by 6%, it is useful to find one percent because 1% is easy to find
to find one percent of 250, we move the decimal point(we cant see it right now) from after the number to after 2 giving us 2.50. we need to do this to find one percent because 1% is the same as one HUNDREDth, and since 100 has two zeros, we move the decimal place two spaces.now that we know that 1% is $2.50 ( which is the same as $2.5) we can times that by six which gives us 6%(because one times 6 is 6) to multiply 2.5 by 6, we first multiply 6 by 2 which will give us 12 and then multiply it by 0.5 (because 2 + 0.5 =2.5) 0.5 multiplied by 6 is equal to 3 and 3 + 6 = 9. we know know that 6% of $250 is $9. we now just add 9 to 250 leaving us with $259
Answer:
Δy = 0.822
dy = 0.6
Step-by-step explanation:
Let us use the rules:
If f(x) = y, then
- dy = f'(x) . dx
- Δy = f(x + Δx) - f(x)
∵ 
- Differentiate it (remember the differentiation of 
is
∴ 
∴ 
∵ dy = y' . dx
∴ 
∵ x = 0
∵ dx = Δx
∵ Δx = 0.6
∴ dx = 0.6
- Substitute x by 0 and dx by 0.6 in y'
∴ 
- Remember any number to the power of 0 is 1 except 0
∵ 
= 1
∴ dy = 0.6
∵ Δy = f(x + Δx) - f(x)
∵ x = 0
- Substitute x by
∴ f(0) =
∴ f(0) = 1
∵ Δx = 0.6
∵ x + Δx = 0 + 0.6
∴ x + Δx = 0.6
- Substitute x by 0.6
∴ f(0.6) = 
∴ f(0.6) = 1.8221188
∵ Δy = f(0.6) - f(0)
∴ Δy = 1.8221188 - 1
∴ Δy = 0.8221188
- Round it to the nearest 3 decimal places
∴ Δy = 0.822
