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a_sh-v [17]
3 years ago
12

Rewrite each rational function in graphing form. Then graph it

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0
Factor the top and bottom. vertical asymptotes are the values for x that will make the denominator = 0. To find the horizontal asymptote when the powers of the numerator and denominator are the same, just divide to coefficients. 
asymptotes are where the graph cant go, the graph will get closer and closer by never touch....see the attachment

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Help please this is due by 10:35.
loris [4]

It's a reflection across the y axis because They are both still equal(all sides are equal) but flipped around. Also, if you calculate, all the midpoints of corresponding points are on the y axis, which shows that it is a reflection over the y axis and nothing more.

It could also be reflect across the x axis, then the y axis, then the x axis again because the reflections across the x axis cancel out with each other. So it is basically is a reflection across the y axis.

Choice 4 because when you rotate it by 180 it lands in the third quadrant exactly one reflection away. When you reflect it across the x axis, it becomes the desired triangle.

Choices 1 and 2 and 4.

4 0
3 years ago
Read 2 more answers
5. Which value of x satisfies the equation 4x - 17 = 47?
wariber [46]

Answer:

The answer is C so X is=16

7 0
3 years ago
Read 2 more answers
If 120 L of an acid solution is 75% acid, how much pure acid is there<br> in the mixture?
Sunny_sXe [5.5K]

Answer:

25% or 30L

Step-by-step explanation:

100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid

7 0
3 years ago
F(x) = x2 - 4.<br> Find the inverse of the function
Lisa [10]

Answer:

f^{-1}(x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

f^{-1}(x) = √ x + 4

5 0
3 years ago
The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
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