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3 years ago

Anybody know the answer I need help. Please

Mathematics

1 answer:

Evgen [1.6K]3 years ago

8 0

Answer:

$\dfrac{p^2+9p+2}{p^2-49}$

Step-by-step explanation:

Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.

$\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}$

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If x^2 - 6xy = z - 9y^2, make x the subject of the formula

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3 years ago

The cost y (in dollars) to rent a lane at the bowling alley is proportional to the number x of hours that you rent the lane. It

Alika [10]

Answer:

a) y = 9x

b) For every increase of 1 hour the price to rent the lane increases by $9.

c) $27

Step-by-step explanation:

a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.

So, the equation would look like this:

y = 9x

b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.

c) Plug 3 into the equation:

y = 9(3)

y = 27

Therefore, it costs $27 to rent the lane for 3 hours.

<em>I hope this helps!!</em>

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3 years ago

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3 years ago

Which equation is the slope-intercept form of the line that passes through (6, –11) and is parallel to the graph of y = –2/3x +

IRINA_888 [86]

Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - ⅔x + 12

Comparing with the general equation above

Slope = -⅔

Since the lines are parallel their slope are also the same

Slope of parallel line = - ⅔

The equation of the line using point

(6, –11) and slope - ⅔ is

$y + 11 = - \frac{2}{3} (x - 6) \\ y + 11 = - \frac{2}{3} x + 4 \\ y = - \frac{2}{3} x + 4 - 11$

We have the final answer as

$y = - \frac{2}{ 3 } x - 7 \\$

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3 years ago

Should this be labeled as non-linear? If not, what is the rate of change? Please show your work, I’m very confused.

il63 [147K]

Answer:

This is not linear.

Step-by-step explanation:

<h2>As you can see the difference between x and y decreases the higher we go.</h2>

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3 years ago