Hello!
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)
Answer:
d. No, you should examine the situation to identify lurking variables that may be influencing both variables
Step-by-step explanation:
Hello!
Finding out that there is a regression between two variables is not enough to claim that there is a causation relationship between the two of them. First you have to test if other factors are affecting the response variable, if so, you have to control them or test how much effect they have. Once you controled all other lurking variables you need to design an experiment, where only the response and explanatory variables are left uncontroled, to learn if there is a regression and its strenght.
If after the experiment, you find that there is a significally strog relationship between the variables, then you can imply causation between the two of them.
I hope it helps!
Answer:
5/12
Step-by-step explanation:
1/2 x 5/6 = 5/12
Answer:
11y²
Step-by-step explanation:
16y² + -5y²
So in this expression ignore y² and solve 16 + -5
Since both terms are like terms you can add
16 + -5
= 11
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Now add y² to your answer
= 11y²
Hola. La derivada de 2x =2 , 8x = 8 , 10x² = 20x. Pienso que te ayudar por este exercicio.