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s344n2d4d5 [400]
2 years ago
10

How many extraneous solutions does the equation below have?

Mathematics
1 answer:
yawa3891 [41]2 years ago
3 0

Answer:

Two extraneous solutions

Step-by-step explanation:

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HElP Me PLEASE
Georgia [21]

Answer:

As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5

Step-by-step explanation:

Given function:

f(x)=\dfrac{4x-7}{8x+8}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at  y=\dfrac{a}{b}  (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator).  This is the end behavior.

\textsf{Horizontal asymptote}:y=\dfrac{4}{8}=\dfrac{1}{2}

This is because as x \rightarrow \infty the -7 of the numerator and the +8 of the denominator become negligible.  Therefore, we are left with:

f(x) \rightarrow \dfrac{4x}{8x}

Therefore:

\textsf{As }\:x \rightarrow - \infty, f(x) \rightarrow 0.5

\textsf{As }\:x \rightarrow \infty, f(x) \rightarrow 0.5

7 0
2 years ago
There are 280 pieces of fruit in a fruit salad. There are twice as many raspberries as blueberries, three times as many grapes a
dedylja [7]

Answer:

64 cherries

Step-by-step explanation:

Given that

There are 280 pieces of fruit in a fruit salad

There are twice as many raspberries as blueberries,

three times as many grapes as cherries,

and four times as many cherries as raspberries

We need to find out the number of cherries in the fruit salad

So,

Let us assume the blueberries be x

So, the raspberries be 2x

Cherries be 8x

And, grapes be 24x

Now

x + 2x + 24x + 8x = 280

35x = 280

x = 8

hence, the No of cherries in the salad

= 8 x

= 8(8)

= 64 cherries

5 0
3 years ago
Which correctly describes how the graph of the inequality 6y − 3x &gt; 9 is shaded? Above the solid line Below the solid line Ab
faltersainse [42]

the answer is Above the dashed line .


5 0
3 years ago
A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0
3 years ago
What do you call it when 50 people stand on a Wooden dock
just olya [345]
The answer is Pier Pressure 
3 0
3 years ago
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