Answer:
<em>x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Step-by-step explanation:
See steps below;
I would prefer answering this question by completing the square, rather than applying a quadratic formula;
3x^2 - 6x - 12 = 0, ⇒ Add 12 to either side,
3x^2 - 6x = 12, ⇒ Divide either side by 3,
x^2 - 2x = 4, ⇒ Write the equation in the form x^2 + 2ax + a^2 = (x + a)^2,
x^2 - 2ax + a^2 = 4 + a^2, ⇒ Solve for a
2ax = -2x,
a = - 1, ⇒ Substitute value of a,
x^2 - 2x + 1 = 4 + 1,
( x - 1 )^2 = 5, ⇒ Solve for x,
x = √5 + 1, and x = - √5 + 1,
In other words; <em>Solution : x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
3/8 + 1/8 = 4/8 = 1/2
therefore the plant grew 0.5 or 1/2 in.
Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
Answer:
The factored version of the given equation is going to be (3x² + 4y)(x + 5)
Step-by-step explanation:
<em>3x³ + 15x² + 4xy + 20y</em>
First, you break down 3x³. You can do this by finding the common factor of 3x³ and 15x². You can add the x to the other parentheses because x times x² equals x³
<em>(3x² + )(x + 5)</em>
Now, we break down 4xy by finding the common factor of 4xy and 20y.
<em>(3x² + 4y)(x + 5)</em>
So, the factored version of the equation above is (3x² + 4y)(x + 5)
