9x - 24 + 4x = -24 + 14x - x
13x - 24 = 13x - 24
0 = 0
Answer is All real numbers
Answer:
one real
Answer: 1
Step-by-step explanation:
Givens
a = 1
b = -4
c = 4
Discriminate
Discriminate = sqrt(b^2 - 4*a*c)
Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )
Discriminate = sqrt ( 16 - 16)
Discriminate = sqrt(0)
Discriminate = 0
That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2
Answer:
The seagull's position halfway is 85.5 feet.
Step-by-step explanation:
The seagull is at 125 1/2 feet above the sea level.
The fish is at 45 1/2 feet below the sea level.
The distance between the seagull and fish = seagull's distance above the sea level + fish's distance below the sea level
= 125 1/2 + 45 1/2
= 
+ 
= 
= 171
The distance between the seagull and fish is 171 feet.
Since the seagull stops halfway, then;
seagull's position = 
= 85.5
The seagull's position halfway is 85.5 feet.
Answer:
$295,245
Step-by-step explanation:
Each year the value is 0.9 times what it was the year before. After 5 years, the value is ...
$500,000 × 0.9^5 = $295,245
This one you can't really make a formula for or anything, but it's fairly simple to figure out, with a bit of guess and check.
14 is really close to 15, but that's bigger, so let's try a smaller number that would work.
It has to be divisible by 2, because you've got a whole number that is 3 1/2 times the other number. (1/2 of a whole number means it's divisible by 2).
10 is divisible by 2,
10 ÷ 2 = 5
But, 10 x 3 = 30 which is much bigger than 14.
So, we've got to start with a smaller number.
Let's try something really small, like 4. We could try 2, but 2 x 3 = 6, which, even with 1/2 of 2, isn't nearly close to 14.
Now, 4 x 3 = 12
That's quite close to 14.
And 1/2 of 4 is 2.
All we do now is add 12 to 2 and see if it works.
12 + 2 = 14
14 = 14
This one works.
That means that Gina volunteered for 4 hours, because 3 1/2 x 4 = 14.
