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olga nikolaevna [1]

3 years ago

5

Dkendbdjdbebdbdbdjdnd

1 answer:

sertanlavr [38]3 years ago

7 0

Answer:

5/2

Step-by-step explanation:

The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.

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Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1

shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

$h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }$

$h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ x + 1}{ {x} - 1}$

The vertical asymptote occurs at

${x} - 1 = 0$

$x = 1$

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

$y = \frac{1}{1}$

y=1

8 0

3 years ago

A 9-yard roll of string costs $3.42. What is the unit price?

Karolina [17]

<em>Answer:</em>

<em>$0.38 per yard</em>

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

<em>Step 1:</em>

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

<em> Step 2:</em>

Convert $3.42 to cents

$1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~$

<em>Step 3:</em>

<em>Find the unit price</em>

$\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}$

$9x=342$

$\frac{9x}{9} =\frac{342}{9}$

$x=38~cents$

<em>Convert to dollars</em>

$x=\frac{38}{100}$

$x=0.38~per~yard$

Hence the unit price is $0.38 per yard.

5 0

3 years ago

Factorize the pynomial f(x)=x³-7x-6 completely

Makovka662 [10]

Answer:

gzgkvxgujdruutdtuhfdykjzfuk

4 0

3 years ago

The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

3 years ago

Please help me with this...........

Genrish500 [490]

The middle one is the answer.
The -1 moves the graph down by one unit.
if it was |x-1| that would move it one unit right.

3 0

3 years ago

Read 2 more answers