Answer:
2(x+1)²-3
Step-by-step explanation:
Using the vertex formula we can write the follwoing equation
y=a(x+1)²-3
We need to solve for a
we know that when x= 2 y = 15
So we can write
15=a(2+1)²-3
15=9a-3
18=9a
a=2
Which means our final equation is
2(x+1)²-3
in standard form (just in case)
2x²+4x-1
Answer:
24 / x = 14 - 2x
Step-by-step explanation:
Quotient means division (÷ or /)
Quotient of 24 and x = 24 ÷ x
24 ÷ x is equivalent to 24 / x
14 minus 2 times x = 14 - 2x
So, the equation is
24 / x = 14 - 2x
Answer:
The fraction is = 
Step-by-step explanation:
In simplest form the fraction is represented in mixed number as
.
The fraction form of the mixed number can be given as :

Let the fraction be =
[As multiplying same numbers to numerator and denominator does not affect the proportion.
Sum of numerator and denominator is = 30
This, can be represented as:

Solving for
.

Dividing both sides by 10.


So, the fraction will be = 
⇒ 
The value of θ from the given equation is 48.59degrees
<h3>Trigonometry identity</h3>
Given the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
Learn more on trig identity here:brainly.com/question/7331447