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Scorpion4ik [409]
4 years ago
13

If p(x) = x2 – 1 and q(x) = 5(x-1) which expression is equivalent to (p – q)(x)?

Mathematics
2 answers:
lesya692 [45]4 years ago
6 0

Answer:

For the given expression (p-q)(x)

Option C will be correct

Step-by-step explanation:

<u>Given;</u>

       p(x) = x^2-1      

       q(x)= 5(x-1)

<u>Solution:</u>

=(p-q)(x)

=p(x)-q(x)

putting values of p(x) and q(x)          

=(x^2-1)-(5(x-1))

=x^2-1-5(x-1)

lilavasa [31]4 years ago
3 0

Answer:

Option C is correct.

The expression which is equivalent to (p-q)(x)  is, x^2 -1 - 5(x-1)

Step-by-step explanation:

Given: p(x) = x^2 -1 and q(x) = 5(x-1)

To find the expression which is equivalent to (p-q)(x):

here p and q both are function assuming;

we can write the expression :

(p-q)(x) = p(x) - q(x) = x^2 -1 - 5(x-1)

therefore, the expression which is equivalent to (p-q)(x)  is;   x^2 -1 - 5(x-1)

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Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.
alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes m_1 and m_2 are parallel when m_1=m_2 and are perpendicular when m_1*m_2=-1

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

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6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0
3 years ago
How do you do solve this question?
vampirchik [111]
In 14 minutes, Dan has already traveled 840 miles

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Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).

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7 0
4 years ago
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DaniilM [7]

Answer:

1) A

2) B

Step-by-step explanation:

For this problem we use exponential growth formulas

y = y_0(1 + r) ^ t if the population increases when t increases

y = y_0(1-r) ^ 2 If the population decreases when t increases

Where and is the population as a function of time, y_0 is the initial population, r is the growth rate, t is the time in years.

1) In this situation we have that y_0 = 48000, the growth is 2.4%, then r = 0.024 and t = 10 and the equation is:

y = 48000(1 + 0.024) ^ {10}

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y = 82000(1-0.017) ^ 5

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6 0
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