<u>Answer</u>:
3y = 4(x - 1.5)²
<u>Step-by-step explanation:</u>
The equation of the parabola in the vertex form is:
y = a (x-h)² + k
Where: (h,k) the coordinates of the vertex & a is a multiplier
The parabola has a vertex at ( 1.5 , 0 )
So, h = 1.5 , k = 0
∴ y = a (x - 1.5)² + 0
∴ y = a (x - 1.5)²
The parabola passes through points ( 3 , 3 )
∴ 3 = a (3 - 1.5)²
∴ 1.5² a = 3 ⇒ a = 3/1.5² = 3/2.25 = 4/3
∴ y = (4/3) (x - 1.5)²
mukitbly both sides by 3
∴ 3y = 4(x - 1.5)²
So, the equation of a parabola that has a vertex at ( 1.5 , 0 ) and passes through points ( 3 , 3 ) is 3y = 4(x - 1.5)²
See the attached figure.
Answer:
The simple interest is $1650
Step-by-step explanation:
Simple Interest = PRT/100
where p = principal, r = rate and t = time
p = $1200, r = 5.5%, and t = 25 years
SI = (1200*5.5*25)/100
SI = 12*5.5*25
SI = $1650
Just imagine having 6 one blocks. Then you have 7 groups of those 6 one blocks. Then that's it!
Answer:
The translation of the question is: " Angelfish are 4/7 and gladiolus 5/9 of all fish in a certain aquarium. Are there more angelfish or gladiolus in this aquarium?
The answer is: there are more angelfish.
Explanation:
You have the fraction for both angelfish and gladioulus in a certain aquarium, so you need to compare those fractions to conclude which fraction is greater.
To compare fractions you can divide one by the other. Whether the quotient (the result of the division) is greater than, equal than, or less than one will tell which fraction is greater than the other.
- If fraction 1 / fraction 2 > 1 ⇒ fraction 1 is greater than fration 2
- If fraction 1 / fraction 2 = 1 ⇒ fraction 1 is equal to fraction 2
- If fraction 1 / fraction 2 < 1 ⇒ fraction 1 is less than fraction 2.
Now, lets compare the fish's fractions:
Then, you conclude that 4/7 is greater than 5/9, and thus the fraction of angelfish is greater than the fraction of gladioulus: there are more angelfish in the aquarium.
Interval notation tells you what values where the function is defined. It’s defined all the way from negative infinity to positive 2, then there’s a gap all the way to positive 8, then we continue on to positive infinity. So x, would be literally every single number besides the number between 2 and 8. Oh and don’t forget that brackets mean included, so 2 is also a value that’s acceptable.
x is less than or equal to 2
and
x is greater than 8
