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2 years ago

Help algebra 2 please

Mathematics

2 answers:

Marina CMI [18]2 years ago

7 0

Answer:

x^4 - x^2 - 2x - 1

Step-by-step explanation:

(x^2+x+1)(x^2-x-1) = x^4 - x^3 - x^2 + x^3 - x^2 - x + x^2 - x - 1

= x^4 - x^2 - 2x - 1

34kurt2 years ago

4 0

Answer:

option 4

Step-by-step explanation:

(f*g)(x) =(x² + x+ 1)*(x² - x -1)

= x²*(x² - x -1) + x(x² - x -1) + 1*( x² - x -1)

= x²*x² - x²*x -x²*1 + x*x² - x*x -x*1 + x² - x -1

= x⁴ - x³ - x² +x³ - x² - x + x² - x -1

= x⁴ - x³ + x³ - x² - x² + x² - x - x - 1

= x⁴ - x² - 2x - 1

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A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

6 0

2 years ago

A circle with radius of 3cm sits inside a circle with radius of 11 cm? What is the area of the shaded region?

garri49 [273]

Answer:

3cm = 28.26

11cm = 379.94

3 x 3 x 3.14 = 28.26

11 x 11 x 3.14 = 379.94

hope this helps

8 0

3 years ago

The _____ states that control is enhanced by concentrating on the exceptions to, or significant deviations from, the expected re

dalvyx [7]

The principle of exception is the managerial principle that states that control is enhanced by concentrating on the exceptions to, or significant deviations from, the expected result or standard.
This also refers to the fact that only what is important in a budget or a plan is shown to the manager, while the rest is excluded.

4 0

3 years ago

You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night

svetlana [45]

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s= 0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2 i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test the critical value is z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

8 0

2 years ago

Which statement is true? 500 is 10 times as much as 50 500 is one tenth as much as 50

Nataly_w [17]

500 is one tenth as much as 50 is correct.
500 of 1/10=50

500 is 10 times as much as 50 is wrong.
500 x 10= 5,000 not 50

7 0

2 years ago