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3 years ago

If u(x) = x^5 – x^4 + x^2 and v(x) = –x^2, which expression is equivalent to (u/v)(x)?

1 answer:

7 0

Hello:
x^5 – x^4 + x^2 =x^2(x^3 - x^2 +1)
(u/v)(x)= x^2(x^3 - x^2 +1)/(-x^2)
(u/v)(x)= - (x^3 - x^2 +1) = -x^3+x^2-1 ( x : no zero)

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Out of 25 students taking a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus

Burka [1]

Answer:

Percentage of students who tried both questions = $8\%$

Percentage of students who tried at least one question = $96\%$

Step-by-step explanation:

Given: 25 students take a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus question, and 1 didn't bother with either one.

To find: percentage of students who tried both questions and percentage of students who tried at least one question

Solution:

Let A denotes students who answered the first of two bonus questions and B denotes students who answered the second bonus question.

Let U denotes the universal set denoting students who take a midterm psychology exam.

$n(A)=15\,,\,n(B)=11\,,\,n(U)=25$

$n\left ( A'\cap B' \right )=1$

$n\left ( A'\cap B' \right )=n\left ( A\cup B \right )'\\=n(U)-n\left ( A\cup B \right )\\\Rightarrow 1=25-n\left ( A\cup B \right )\\n\left ( A\cup B \right )=25-1=24$

$n\left ( A\cup B \right )=n(A)+n(B)-n\left ( A\cap B \right )\\24=15+11-n\left ( A\cap B \right )\\n\left ( A\cap B \right )=15+11-24=2$

Percentage of students who tried both questions = $\frac{2}{25}\times 100=8\%$

Percentage of students who tried at least one question = $\frac{24}{25}\times 100=96\%$

7 0

3 years ago

Hi! really need help with my math and its due tmrw please helppp Also make sure

olga2289 [7]

Answer:

The value of x is equal to 109

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2 years ago

Factor each equation

Ainat [17]

Answer:

x^4 - 11·x^2 + 18 = 0

I use Vieta's formulas

-9·(-2) = 18 and -9 + (-2) = -11

(x^2 - 9)·(x^2 - 2) = 0

(x + 3)·(x - 3)·(x + √2)·(x - √2) = 0

8 0

3 years ago

Knox can color 1/5 a page of his coloring book in 1/3 of an hour. Express this as a unit rate

Lemur [1.5K]

Answer:

3/5 pages per hour

Step-by-step explanation:

We want to find pages per hour

1/5 pages ÷1/3 hour

Copy dot flip

1/5 * 3/1

3/5 pages per hour

7 0

3 years ago

-(7c-18)-2c>0 solve the inequality and please show your work

8090 [49]

-(7c-18)-2c> 0
First you have to distribute the minus sign in order to combine like terms
EX: -7c+18-2c> 0 then combine like terms which would get you -9c and solve for c

Ex: -9c +18> 0
then minus 18 from both sides to get -18
Next divide -18 by -9 to have c<2 because when you divide by a negative the signs would flip

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3 years ago