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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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A sector of a circle has central angle θ=5π/6 and area 15π ft2. Find the radius of this circle.
Natali [406]
5pi/6 r^2 = 15pi

R^2 = 18

R= 3sqrt(3)
6 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2
yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

f(x)=e^{(\ln2)x}-2

Now, similarly from the graph the function of g(x) can be written as,

g(x)=-3e^{(\ln2)x}+6

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

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4 0
2 years ago
A company makes 140 bags.
Igoryamba

Answer: 41/75 or 54.67%

Step-by-step explanation:

Buttons --- yes,  zips --- yes = 45  (compute as 150 - 37 - 45 - 23)

Buttons --- yes,  zips --- no  = 37

Buttons --- no, zips --- yes = 45

Buttons --- no, zips --- no = 23

Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75

7 0
2 years ago
If m rst = 70, m qst = 2x, and m qsr = 3x-10 what is the m qsr
Anna [14]

Answer:

m qsr = 62°

Step-by-step explanation:

From my understanding, the question states 3 angles of a triangle

All 3 angles of a triangle are equal to 180°.

<u>Step 1: Find x</u>

<em>70 + 2x + 3x - 10 = 180°</em>

<em>70 + 5x - 10 = 180</em>

<em>5x = 180 - 60</em>

<em>x = 120/5</em>

x = 24°

<u>Step 2: Find angle qsr</u>

<em>m qsr = 3x - 10</em>

<em>m qsr = 3(24) - 10</em>

m qsr = 62°

!!

4 0
3 years ago
Read 2 more answers
If a bicyclist travels 3 miles in 15 minutes, how far will he travel in 25 minutes maintaining a constant speed? (includes units
Irina-Kira [14]

<u>Answer:</u>

5 miles

<u>Step-by-step explanation:</u>

15 × ? = 25

3 × ? = ?

15 × 1 and 2/3 = 25

3 × 1 and 2/3 = ?

3 × 1 and 2/3 = 5

Your welcome and Rate as Brainliest

3 0
3 years ago
Read 2 more answers
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