Help please! i need to find the restrictions to this expression
1 answer:
Answer:
x = 7, x =
Step-by-step explanation:
A restriction can only be found in the denominators and this is when x is a certain number that when plugged in, makes the expression 0 (this makes it undefined, which you cannot have).
<em><u>Since we are only looking at the denominator, you can just ignore the numerator:</u></em>
(x - 7) (5x + 1)
<em><u>To find the restrictions, you must set them equal to 0:</u></em>
x - 7 = 0
5x + 1 = 0
<em><u>Then, solve:</u></em>
x - 7 = 0 5x + 1 = 0
+ 7 + 7 - 1 - 1
________ ________
x = 7 5x = -1
x =
If you plug these numbers in, the total outcome would come out to be 0, making the expression undefined, proving that these are the restrictions of the expression.
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The coordinates of point B' are (-3, 6).
<h2>Given that</h2>Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).
The triangle is translated as 3 units to the left and 1 unit up.
<h3>We have to determine</h3>What are the coordinates of B' after the translation?
<h3>According to the question</h3>Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).
The triangle is translated as 3 units to the left and 1 unit up.
To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.
After the given transformation the coordinates of point B' would be:
Therefore, the coordinates of point B' are (-3, 6).
To know more about Transformation click the link given below.
Answer:
Step-by-step explanation:
Step 1: Define
Difference Quotient:
f(x) = -x² - 3x + 1
f(x + h) means that x = (x + h)
f(x) is just the normal function
Step 2: Find difference quotient
- <u>Substitute:</u>
- <u>Expand and Distribute:</u>
- <u>Distribute:</u>
- <u>Combine like terms:</u>
- <u>Factor out </u><em><u>h</u></em><u>:</u>
- <u>Simplify:</u>