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SIZIF [17.4K]
2 years ago
14

HElP Me PLEASE

Mathematics
1 answer:
Georgia [21]2 years ago
7 0

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

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A gardener makes a new circular flower bed. The bed is teen feet in diameter. Calculate the circumference and the area of the ci
KATRIN_1 [288]

Answer:

I. Circumference of circular flower bed = 31.42 ft.

II. Area of circular flower bed = 78.55 ft²

Step-by-step explanation:

Given the following data;

Diameter = 10 ft

Radius = diameter/2

Radius = 10/2

Radius, r = 5 ft

I. To find the circumference of the circular flower bed;

Circumference of circle = 2πr

Substituting into the formula, we have

Circumference of circular flower bed = 2*3.142*5

Circumference of circular flower bed = 31.42 ft

II. To find the area;

Area of circle = πr²

Substituting into the formula, we have;

Area of circular flower bed = 3.142*5²

Area of circular flower bed = 3.142*25

Area of circular flower bed = 78.55 ft²

8 0
3 years ago
The lines whose equations are 2x + y = 3z and x + y = 6z intersect at which point?
Tema [17]
2x + y - (x + y) = 3z - 6z 
--------------------------------------------------------
<span>x = -3z </span>
------------------------------------------

<span>(-3z, 9z) </span>
 ----------------------------------
<span>(x,y,z) = (-3z, 9z, z) 
</span>--------------------------
<span>x = -3z, y = 9z
---------------------
There for the answer is </span><span>(-3z, 9z) </span>
3 0
2 years ago
What’s is the length of the lower base, ZX? And Which angle has a sine ratio of 4/5?
PilotLPTM [1.2K]

1. YX = 8√3/tan60° = 8

so ZX = ZY + YX = 10 + 8 = 18

2. angle Q

8 0
2 years ago
(8x + 11) - (7x - 5)?​
zaharov [31]

Answer:

use the cymath calculator

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
At Davis you can buy 12 pounds of M&amp;M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy
Law Incorporation [45]

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

Because you would multiply 1.02, which is the cost of each pound for 12, by 8 and you would get 8.16.

4 0
2 years ago
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