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soldi70 [24.7K]
3 years ago
10

Explain how to find vertical and horizontal asymptotes of a rational equation.

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

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Can someone help me please? It’s like my 3rd time trying to get some answers for this question. Thanks. :)
mote1985 [20]

Answer:

both rates of change equal the slope of the line (3/4)

Step-by-step explanation:

Part a)

We calculate the rate of change using the formula:

\frac{y_2-y_1}{x_2-x_1}

for the first interval [0,6], we calculate the y-values at x=0 and x=6;

at x=0 : y=\frac{3}{2} (0)+2=2

at x=6 : y=\frac{3}{2} (6)+2=11

therefore, the rate of change in this interval is: \frac{y_2-y_1}{x_2-x_1}=\frac{11-2}{6-0}=\frac{9}{6} =\frac{3}{2}

For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;

at x=-4 : y=\frac{3}{2} (-4)+2=-4

at x=4 : y=\frac{3}{2} (4)+2=8

therefore, the rate of change in this interval is: \frac{y_2-y_1}{x_2-x_1}=\frac{8-(-4)}{4-(-4)}=\frac{12}{8} =\frac{3}{2}

Part b):

Notice that both rates of change equal the value of the slope of the linear function (3/2)

4 0
3 years ago
Evaluate the radical.<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1000%7D%20" id="TexFormula1" title=" \sqrt[3]{100
Korvikt [17]

Answer:

3_/1000

= 10^(3×1/3)

=10^1

=10

3 0
3 years ago
Read 2 more answers
Please help with this
Dafna1 [17]

Answer:

A

Step-by-step explanation:

● first one:

The diagonals of a rhombus are perpendicular to each others wich means that they form four right angles.

STP is one of them so this statement is true.

● second one:

If ST and PT were equal this would be a square not a rhombus.

● third one:

If SPQ was a right angle, this woukd be a square.

● fourth one:

Again if the diagonals SQ and PR were equal, this would be a square.

5 0
3 years ago
An antelope can run at a speed of 61 miles per hour. What is the speed in yards per second
jekas [21]
0.489 yards per second
8 0
3 years ago
1. Make sure to respond with complete sentences! Show all work please:)
tino4ka555 [31]

Explanation:

The numerator of the rational exponent will be the product of the exponents inside and outside the radical: 5·7=35. The denominator of the rational exponent will be the index of the radical: 6. Then the equivalent expression is x^(35/6)

7 0
3 years ago
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