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Xelga [282]
3 years ago
9

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

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:  The required expression is x^2-5x+4.

Step-by-step explanation:  We are given that

p(x)=x^2-1,\\\\q(x)=5(x-1).

We are to find the expression that is equivalent to (p-q)(x).

We know that for any two functions f(x) and g(x), we have

(f-g)(x)=f(x)-g(x).

Therefore we get

(p-q)(x)\\\\=p(x)-q(x)\\\\=(x^2-1)-(5(x-1))\\\\=x^2-1-5x+5\\\\=x^2-5x+4.

Thus, the required expression is x^2-5x+4.

Delicious77 [7]3 years ago
3 0
P(x) - q(x) = x²-1 -5(x-1)
= x²-1-5x+5
=x²-5x+4
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Answer:

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To solve, simply do this:

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Then you'll get the answer, -7/16

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3 years ago
2(x-1) ≥ 10 or 3-4x &gt; 15<br> Solve the compound inequality, and show work!
Veseljchak [2.6K]

Answer:

x\geq 6\text{ or } x

Step-by-step explanation:

We have the compound inequality:

2(x-1)\geq10\text{ or } 3-4x>15

Let's solve each of them individually first:

We have:

2(x-1)\geq10

Divide both sides by 2:

x-1\geq5

Add 1 to both sides:

x\geq6

We have:

3-4x>15

Subtract from both sides:

-4x>12

Divide both sides by -4:  

x

Hence, our solution set is:

x\geq 6\text{ or } x

5 0
2 years ago
Read 2 more answers
1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
Musya8 [376]

Answer:

A) 34.13%

B)  15.87%

C) 95.44%

D) 97.72%

E) 49.87%

F) 0.13%

Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

P( 90 < x < 100) = P(-1 < z < 0) = P(z < 0) - P(z < -1)

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It means that the PERCENT of scores that are between 90 and 100 is 34.13%

At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

P( x > 110 ) = P( z>\frac{110-100}{10})=P(z>1) = 0.1587

C) Between 80 and 120

P( 80

D) less than 80

P( x < 80 ) = P( z

E) Between 70 and 100

P( 70

F) More than 130

P( x > 130 ) = P( z>\frac{130-100}{10})=P(z>3) = 0.0013

8 0
3 years ago
Difference between the smallest term in the data set and the largest term in the data set
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Range definition:

The difference between the smallest term and the largest term in the data set is called the range.

Answer: Range

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