For what values of x is the rational expression below undefined? x-7/x^2-7x-8
1 answer:
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Answer:
a 90° clockwise rotation about the origin
a 180° rotation about the origin
a 90° counterclockwise rotation about the origin
Step-by-step explanation:
Transformations are done on a Cartesian Plane, which is the grid with four quadrants. (See picture) Each quadrant is 90°, so two quadrants is 180°.
When you rotate counterclockwise it is like in the picture. When you want to rotate clockwise, it's the other way.
When we rotate 180°, it does not matter if it is counterclockwise or clockwise because the result is the same (both move two quadrants).
We can imagine an example to help us solve the problem. Let's say we are rotating an object <u>starting in </u><u>first quadrant</u><u>.</u> (Upper right quadrant).
<u>Find out which quadrant the object ends up with each instruction:</u>
FROM THE PICTURE:
"a 90° counterclockwise rotation about the origin (Q2) and then a 180° rotation about the origin"
End: Quadrant 4
"a reflection across the x-axis (Q4) and then a reflection across the y-axis"
End: Quadrant 3
"a 90° clockwise rotation about the origin (Q4) and then a rotation 180° about the origin"
End: Quadrant 2
FROM YOUR LIST:
"a 90° counterclockwise rotation about the origin " Quadrant 2
"a 180° rotation about the origin " Quadrant 3
"a 90° clockwise rotation about the origin" Quadrant 4
Match each ending quadrant from your list with the same ending quadrant from the picture.
The order that you should put your list into the boxes is:
a 90° clockwise rotation about the origin
a 180° rotation about the origin
a 90° counterclockwise rotation about the origin
Pn(Z>zp)=1−p%
Given a variable X following a normal distribution with mean μ and standard deviation σ, the area below the curve that corresponds to all values that are less than a that is, X<a
is the probability P(X<a). This probability is usually calculated by converting the variable X to a standard normal variable Z (forming z scores) defined by:
The variable Z follows the standard normal distribution with a mean of 0 and a standard deviation of 1.
The standard normal probabilities are typically found by using the standard normal tables or other computational means such as calculators or software.
Pn(Z>zp)=1−p%
Here Pn is the probability for the standard normal variable.
Learn more about mean here brainly.com/question/18060320
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Answer:
8.4750
Step-by-step explanation:
1) ignore all the decimals, we’ll deal with them later
So
125*0678= 84750
Now “Shwoop the decimal to the right 4 places since the question originally had a decimal with 4 numbers behind it.
84750.0 becomes 8.4750
Hope this helps!
