We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Answer:
3.75 cups of oil or 3 and 3/4 cups of oil
Step-by-step explanation:
Simple
1 batch=0.75 cups of oil(3/4)
5 Batch=? (Multiply by 5)
5 Batches=3.75 cups (or 3 3/4) of oil
for this to be a growth function it has to be any number that is latger than zero
FOR EXAMPLE :-
50% which equals to 0.5
27k -6 is equal to 3(9k - 2 )
and 5x +60 is equal to 5(x + 12) :)))
i hope this is helpful
have a nice day
Answer:
landing on a shaded portion and landing on an even number
; landing on a shaded portion and landing on a number greater than 3
; landing on an unshaded portion and landing on an odd number
; and landing on an unshaded portion and landing on a number less than 2.
Explanation:
Mutually exclusive events are events that cannot occur at the same time. Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.
This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.
The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.
The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.
The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.
