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shtirl [24]
3 years ago
10

At what value of x does the graph of the following function f(x) have a vertical asymptope? f(x)=5x/2x-6

Mathematics
1 answer:
Olegator [25]3 years ago
7 0
I think it’s C hope it helps
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Awnser please now !!!!!!!!!!!!!!
polet [3.4K]

Answer:

(2, 0)

Step-by-step explanation:

The x intercept is when y is equal to 0.

Therefore,

8x-1/3*0=16

8x=16

x=2

The answer is (2,0)

5 0
2 years ago
Read 2 more answers
Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
Please answer this correctly without making mistakes
HACTEHA [7]

Answer:

It would be the green chart

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The weekly sales in thousands of items of a product has a seasonal sales record approximated by n=60.31+19.4sin(/24) (pi x t /24
Paladinen [302]
We are given with the equation
n = 60.31 + 19.4 sin (πt/24)
where n is the weekly sales in thousands of item
and t is the time in weeks

The week that will result to a sales of 70,010 is
70.01 = 60.31 + 19.4 sin (πt/24)
t = 4
weeks from the first week
8 0
3 years ago
Pedro puts $400.00 into an account to use for school expenses. The account earns 4% interest, compounded annually. How much will
Nastasia [14]

After 5 years the amount in the account will be $ 487.

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

Compound Interest, A = P ( 1 + \frac{r}{n})^ {nt}

Where A denotes the investment's future value

P is the Principal amount = $ 400.00

r is the rate of interest annually in decimals = 0.04

n is the no. of times the interest is compounded per unit time, t = 1

t - the number of years or days or months the amount is invested = 5 years

Now we have to plug in those values in the above formula as,

A = 400 ( 1 + \frac{0.04}{1})^ {1\times 5}

   = 400(1+ 0.04)⁵

  = 400(1.04)⁵

 = 486.66 ≈ $ 487

7 0
3 years ago
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