Answer:

Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have that the quadratic formula is:

2. To solve the quadratic equation you must substitute the values. So, you have that:

Then you have:

3. Therefore, you obtain the following result:

Answer: A)x²+x-6 B) 2x²-13
Step-by-step explanation: A) (x+3)(x-2)(x-8) = x²-2x+3x-6 = x²+x-6
B) (x+2)(x-2)(x+3)(x-3) =→ x²-2x+2x-4 = x²-4
→x²-3x+3x-9 = x²-9
∴x²-4+x²-9 = <u><em>2x²-13</em></u>
Using translation concepts, the graph of function g(x) = f(x) - 2 = x² - 2 is given at the end of the question.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are given as follows:
- g(x) = f(x) - 2 = x² - 2.
Which means that g(x) is a shift down of 2 units of f(x), as given by the graph in the end of the question.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
looks like 2
Step-by-step explanation:
Points where two lines cross are solutions they share
Answer: 1/250
Step-by-step explanation:
Given the recurring decimal : 0.004
Firstly:
Let x = 0.004 - - - (1)
Due to the number of decimals places and value of x;
We multiply (1) by 1000 to obtain an integer
Multiply (1) by 1000
1000x = 4 - - - (2)
From (2) we can solve for x and leave our answer as a fraction.
Divide (2) by 1000 to obtain the value of x
1000x / 1000 = 4 / 1000
x = 1 / 250
Recall x = 0.004
Therefore, x = 0.004 = 1/250