Answer: a) 2556.25 miles
b) 82.5 gallons
Step-by-step explanation:
Given : The distance from New York City to Los Angeles is 4090 kilometers.
[∵ 1 km=
miles]
Hence, the distance in miles= 2556.25
If your car averages 31 miles per gallon, then the number of gallons of gas required to use driving from New York to Los Angeles =
Hence, the required number of gallons = 82.5 gallons
<em>Correct expression: </em>
Answer:
x = 4
x = -4
x = 7i or
x = -7i or
Step-by-step explanation:
We do factorization of x^2 - 16
(x^2-16) = (x+4)(x-4)
(x+4)(x-4)(x^2+49) = 0
We require that any term in the multiplication to be zero to fulfil the requirement
so:
if x + 4 = 0 then (x+4)(x-4)(x^2+49) = 0
x = -4
if x - 4 = 0 then (x+4)(x-4)(x^2+49) = 0
x = 4
if (x^2+49) = 0 then (x+4)(x-4)(x^2+49) = 0
x^2 = -49
we have two roots:
If your course has already worked with complex number and the root of -1 then:
7i and -7i are solution as well
because 7i will be:
and the same reasoning for -7i:
Answer:
= 8n - 11
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
5 - (- 3) = 13 - 5 = 21 - 13 = 8
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = 8 , thus
= - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is
f(n) = - 3 + 8(n - 1)