Answer:
Step-by-step explanation:
To find the zeros of the quadratic function f(x)=6x^2 + 12x – 7 we need to factorize the polynomial.
To do so, we need to use the quadratic formula, which states that the solution to any equation of the form ax^2 + bx + c = 0 is:
So, the first thing we're going to do is divide the whole function by 6:
6x^2 + 12x – 7 = 0 -> x^2 + 2x - 7/6
This step is optional, but it makes things quite easier.
Then we using the quadratic formula, where:
a=1, b= 2, c = -7/6.
Then:
So the zeros are:
Answer: A Only
Step-by-step explanation:
To determine that a linear model is appropriate, the residual plot should be randomly dispersed.
Equation represents the difference in the number of foreign and domestic stamps Malik collected: X-34=y
equation represents the total number of stamps Malik collected:
212 = X-34-y
so,
245= X-Y
Situation :
Y= X-34
X-Y= 245
Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
__
<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
__
<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
_____
Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
c(x)=9x+89
I know that you don't have the answer listed, but it is the correct answer.
