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den301095 [7]
3 years ago
11

Consider the functions f(x)=(ax^2-b)/(x^2-4) and g(x)=(x^2-cx+d). if the limit as x approaches 3 equals 6, what is the relations

hip between a and b?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

6=\dfrac{a\cdot3^2-b}{3^2-4}\\\\
6=\dfrac{9a-b}{5}\\\\\
9a-b=30\\\\
\boxed{b=9a-30}

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Solve: <br>3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2​
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x = 26/45

Step-by-step explanation:

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5 0
3 years ago
What is the equation of the line that is parallel to the line 12x + 15y = 10 and passes through the point (5, −2)
Aleonysh [2.5K]

Answer:

The slope of the given line and a line parallel to it is 5/2.

Step-by-step explanation:

Explanation:

Given:

5

x

−

2

y

=

11

is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for

y

to change the equation to slope-intercept form:

y=mx+b, where: m is the slope and b is they intercept.5x−2y=11      

Subtract 5x from both sides. −2y=−5x+11

Divide both sides by −2. y=−5/−2x+11/2

Simplify. y=5/2 x −11/2

The slope of the given line and a line parallel to it is 5/2.

.

7 0
3 years ago
PLEASE HELP I ONT GET THIS QUESTION
tatuchka [14]

Here's a trick.

Don't solve all the equations, you're given the answer to x so just substitute.

5/2*8+7/2=3/4*8+14

23.5=20 INCORRECT

5/4*8-9=3/2*8-21

1=-9 INCORRECT

5/4*8-2=3/2*8-4 <- YOUR ANSWER

8=8 CORRECT


5 0
3 years ago
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