Answer:
(4t − 3) (t − 6)
Step-by-step explanation:
Using AC method:
Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.
Here, a = 4, b = -27, and c = 18.
ac = 4 × 18 = 72
Factors of 72 that add up to -27: -3 and -24
Divide factors by a: -3/4 and -24/4
Reduce: -3/4 and -6/1
So the factored expression is:
(4t − 3) (t − 6)
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers
Given:
63 tomato plants
81 rhubarb plants
63 / 9 = 7
81 / 9 = 9
ANSWER: The greatest number of rows Li Na can plant is 9 rows with 7 tomato plants and 9 rhubarb plants per row.
I hope this helps!
Answer:
15.5hr
Step-by-step explanation:
Speed = Distance/Time
Given
Distance = 1550ml
Speed = 100ml/hr
Required
Time
From the formula;
Time = Distance/Speed
Time = 1550/100
Time = 15.5hr
Hence it will take 15.5hr
x-values can be anything since we don't have any x term to substitute.
It can also be explained by a graph. The constant graph is a horizontal graph and it shows that x can be any real numbers.