Solve using synthetic division. (−2x^3 + 5x^2 − x + 2) ÷ (x + 2)

If master chief has three and a half cookies, and the arbiter has five and three quarters of a cookie, how many cookies do they

nikklg [1K]

Answer:

$9\dfrac{1}{4}$

$4\dfrac{5}{8}$

Step-by-step explanation:

The master chief has three and a half cookies i.e. $3\dfrac{1}{2} = \dfrac{7}{2}$ numbers of cookies.

Again the arbiter has five and three quarters of a cookie i.e. $5\dfrac{3}{4} = \dfrac{23}{4}$ number of cookies.

Therefore, in total there are $(\dfrac{7}{2} +\dfrac{23}{4} ) = \dfrac{37}{4} = 9\dfrac{1}{4}$ numbers of cookies.

If we divide the total number of cookies in to equal parts and distribute to then then each of them will get $\dfrac{37}{4 \times 2} = \dfrac{37}{8} = 4\dfrac{5}{8}$ numbers of cookies. (Answer)

3 0

2 years ago

Please help I will mark brainlist if correct

djyliett [7]

Solving for L:

P = 2L + 2W
P - 2W = 2L
(P - 2W) / 2 = L
L = (P - 2W) / 2

8 0

2 years ago

Which ordered pairs are solutions to the inequality 4x+y>-6

Lilit [14]

Answer:

(-1.5, 0) and (0, -6)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Suppose 232subjects are treated with a drug that is used to treat pain and 50of them developed nausea. Use a 0.01significance le

Margarita [4]

Answer:

A

The correct option is B

B

$t = 0.6093$

C

$p-value = 0.27116$

D

The correct option is D

Step-by-step explanation:

From the question we are told that

The sample size is $n = 232$

The number that developed nausea is X = 50

The population proportion is p = 0.20

The null hypothesis is $H_o : p = 0.20$

The alternative hypothesis is $H_a : p > 0.20$

Generally the sample proportion is mathematically represented as

$\r p = \frac{50}{232}$

$\r p = 0.216$

Generally the test statistics is mathematically represented as

=> $t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }$

=> $t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }$

=> $t = 0.6093$

The p-value obtained from the z-table is

$p-value = P(Z > 0.6093) = 0.27116$

Given that the $p-value > \alpha$ then we fail to reject the null hypothesis

5 0

3 years ago

Systems of equation substitution 2x+4y=24 x=4y

antoniya [11.8K]

Answer:

(x, y) = (8, 2)

Step-by-step explanation:

substitute x = 4y into the other equation

2(4y) + 4y = 24

8y + 4y = 24

12y = 24 ( divide both sides by 12 )

y = 2

substitute y = 2 into x = 4y

x = 4 × 2 = 8

solution is (8, 2 )

5 0

2 years ago