Flow many years after the tree is planted does the model predict the tree will reach a height of 65 feet?

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Gnom [1K]

Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

8 0

3 years ago

Express the area of the rectangle in term of x

aalyn [17]

Answer:

Area = $12-\frac{4}{35}x$

Step-by-step explanation:

Length of the given rectangle 'l' = (15 - $\frac{1}{7}x$ )

Width of the given rectangle 'w' = $\frac{4}{5}$

Area of the rectangle = lw

= $\frac{4}{5}(15-\frac{1}{7}x)$

= $\frac{4\times 15}{5}-\frac{4}{5}\times \frac{1}{7}x$

= $12-\frac{4}{35}x$

Therefore, expression that defines the area of the given rectangle will be,

Area = $12-\frac{4}{35}x$

4 0

3 years ago

Solve. 3x2 − 6x = 24 A) x = 2, x = 4 B) x = 3, x = 4 C) x = −2, x = 4 D) x = −4, x = 3

Oduvanchick [21]

3x^2 − 6x = 24
3x^2 − 6x - 24 = 0
3(x^2 - 2x - 8) = 0
3(x - 4)(x + 2) = 0
x - 4 = 0; x = 4
x + 2 =0; x = -2

answer
C) x = −2, x = 4

8 0

3 years ago

_______square feet? I need the square feet to

Daniel [21]

Answer:

60 ft²

Step-by-step explanation:

The reason being that you take the height of 8 and multiply it by the width of 15. 8×15=120 Then since a triangle is half of a square you would halve it. 120÷2=60 Which would then give you your answer.

5 0

3 years ago

A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were r

fomenos

Answer: A.

$H_0:p=0.12\\\\H_a:p$

Step-by-step explanation:

Null hypothesis $(H_0)$ : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.

Alternative hypothesis $(H_a)$ : A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

$H_0:p=0.12\\\\H_a:p$

8 0

3 years ago