x=3 and x= -2
Step-by-step explanation:
we could simplify it to x*2 + x -6 = 0
then 2 numbers whose sum is 1 and product is -6
the numbers are 3 and -2
While neither 9 nor 8 are prime numbers, the factors of 9 are 3*3<span> and of 8 are 2*2*2. Since they share no factors in common, their product will be the least common multiple. (Multiples of 9 are 18, 27, </span>36<span>, 45, 54, 63, and 72; Multiples of 8 are </span>16<span>, </span>24,32<span>, </span>40<span>, 48, </span>56<span>, </span>64<span>, and 72).
This is sited on google! </span>
Answer:
the maximum height of the water is 7 ft
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have −4x^2 + 24x − 29.
Rewrite -4x^2 + 24x as -4(x^2 - 6x) and then complete the square of (x^2 - 6x). We get:
(x^2 - 6x + 9 - 9), which is exactly equivalent to (x^2 - 6x).
Going back to the original equation: −4x^2 + 24x − 29, or
−4(x^2 - 6x) − 29.
Now replace (x^2 - 6x) with (x^2 - 6x + 9 - 9):
-4(x^2 - 6x + 9 - 9) - 29, which simplifies to:
-4(x - 3)^2 + 36 - 29, or
-4(x - 3)^2 + 7, whose vertex is (3, 7). Thus, the maximum height of the water is 7 ft.
Answer:
51
Step-by-step explanation:
51×4=204
500-204=296
