(A) <em>f(x)</em> = 7 is constant, so <em>f(x</em> + <em>h)</em> = 7, too, which makes <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 0. So <em>f'(x)</em> = 0.
(B) <em>f(x)</em> = 5<em>x</em> + 1 ==> <em>f(x</em> + <em>h)</em> = 5 (<em>x</em> + <em>h</em>) + 1 = 5<em>x</em> + 5<em>h</em> + 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 5<em>h</em>
Then
(C) <em>f(x)</em> = <em>x</em> ² + 3 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 3 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 3
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ²
(D) <em>f(x)</em> = <em>x</em> ² +<em> </em>4<em>x</em> - 1 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 4 (<em>x</em> + <em>h</em>) - 1 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 4<em>x</em> + 4<em>h</em> - 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ² + 4<em>h</em>
Answer:
22 years.
Step-by-step explanation:
(continued), How long will it take the 5000 Swiss Francs to accrue to 10000 = 2 x 5000 Swiss Francs.
Define T as
T = the time to double the investment.
Then, we have that
10000 = 5000(1 + 3.25%)^T
2 = (1 + 0.0325)^T
2 = (1.0325)^T
ln(2) = ln [ (1.0325)^T ]
ln(2) = T ln (1.0325)
T = ln(2) / ln(1.0325)
T = 21.6723317643
T = 22 years, rounded to the nearest year.
Answer:
Total distance:
- d=11/15 miles or 0.73 miles
Step-by-step explanation:
- Alison walks 2/5 miles from her house to the mailbox.
- Then she walks 1/3 mile to the bus stop.
Thus, the total distance can be calculated by adding the miles
i.e.
LCM of 5,3 is 15
miles
Thus,
Total distance:
- d=11/15 miles or 0.73 miles
Answer:
She is wrong
Step-by-step explanation:
in one gallon there is 128 ounces, and 2 would make it 256.
40 - 8 ounce cups would make it 320 ounces, therefore she would need 3 gallons at least.
The the missing number 140 because you add the 40 + the 140 and you get 180