Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function , you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
Then, the denominator is zero when
Therefore, does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
You can observe that a linear function is obtained.
This function is equal to zero when , therefore the zero of the function is at (-7,0).
The solution to the given system of equation is (7,-3).
<h3>What is the solution to the given system of equation?</h3>
Given the equations in the question;
2x + 7y = -7 ----- equ 1
-4x - 3y = - 19 ---- equ 2
First, we solve for x in equation 1
2x = -7y - 7
x = -7y/2 - 7/2
Next, replace all occurrence of x with -7y/2 - 7/2 in equation 2
-4x - 3y = - 19
-4(-7y/2 - 7/2) - 3y = - 19
14y + 14 - 3y = -19
14y - 3y = -19 - 14
11y = -33
y = -33/11
y = -3
Plug y = -3 into equation 1 and solve for x
2x + 7y = -7
2x + 7(-3) = -7
2x - 21 = -7
2x = -7 + 21
2x = 14
x = 14/2
x = 7
Therefore, the solution to the given system of equation is (7,-3).
Learn more about simultaneous equation here: brainly.com/question/16763389
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Factor it.
<span>x² - x - 6 </span>
<span>----------- = </span>
<span>x² - 4 </span>
<span>(x - 3)(x + 2) </span>
<span>----------------- = </span>
<span>(x - 2)(x + 2) </span>
<span>Cancel out the x + 2 factors. </span>
<span>x - 3 </span>
<span>------ <==ANSWER </span>
<span>x - 2 </span>
<span>I hope that helps!! :)</span>
Answer:
t is 19.
Step-by-step explanation:
Subtract 4 from both sides.
Next, multiply <em>both</em> sides by 19.