There is a line that includes the point (7,10) and has a slope of 5. What is its equation in point-slope form?
1 answer:
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Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
The question has an error because the letter g does not make sense in the context.
I will assume that the g is really the number 9.
In that case, the equation to solve would be:
You can solve for x following these steps:
1) make
=>
2) Given that the basis are equal the exponents have to be equal =>
2x = 2(3x - 4)
3) Solve:
2x = 6x - 8
6x - 2x = 8
4x = 8
x = 8/4
x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.
Under that assumption, the answer is the option B) x = 2.
I will assume that the g is really the number 9.
In that case, the equation to solve would be:
You can solve for x following these steps:
1) make
=>
2) Given that the basis are equal the exponents have to be equal =>
2x = 2(3x - 4)
3) Solve:
2x = 6x - 8
6x - 2x = 8
4x = 8
x = 8/4
x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.
Under that assumption, the answer is the option B) x = 2.