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3 years ago

12

Lily used lime green, pink, blue, orange and yellow to make the bracelet. What fraction of the bracelet was the pink, blue and o

range?

1 answer:

Semmy [17]3 years ago

7 0

The answer is 3/5 or 0.12

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Verify in the following whether g(x) is a factor of p(x)

notsponge [240]

$\red{\large\underline{\sf{Solution-i}}}$

Given that,

$\rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2$

and

$\rm \longmapsto\:g(x) = x - 2$

<em>We know, </em>

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

$\rm \longmapsto\:p(2)$

$\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2$

$\rm \: = \: 16 - 8 - 4 - 4$

$\rm \: = \: 16 - (8 + 4 + 4)$

$\rm \: = \: 16 - 16$

$\rm \: = \: 0$

$\rm\implies \:p(2) \: = \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: factor \: of \: p(x)$

$\red{\large\underline{\sf{Solution-ii}}}$

$\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1$

and

$\rm :\longmapsto\: g(x) = x + 1$

Now, By using Factor Theorem, Consider

$\rm \longmapsto\:p( - 1)$

$\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1$

$\rm \: = \: - 2 + 1 + 2 + 1$

$\rm \: = \: 2$

$\rm\implies \:p( - 1) \: \ne \: 0$

<u>So, </u>

$\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)$

8 0

3 years ago

Diego has written a feature story about a drumming circle. What should he include in his visual presentation to interest the aud

Art [367]

Answer:

A video of a drumming session.

7 0

3 years ago

Just answer no worker needed to show

tekilochka [14]

Answer:

Therefore, the correct answer is 24,069,100.

Step-by-step explanation:

(6.91 x 10^4) = 6.91 x 10,000 (10 x 10 x 10 x 10) or 69,100.

(2.4 x 10^7) = 2.4 x 10,000,000 (10 x 10 x 10 x 10 x 10 x 10 x 10) or 24,000,000.

24,000,000 + 69,100 = 24,069,100

Therefore, the correct answer is 24,069,100.

Hope this helps! :D

4 0

3 years ago

A city spent about 1/4 of its budget on buildings and maintenance, which was about 1/8 of the total budget less than it spent on

Yuliya22 [10]

Answer:

1/8 of the budget was left for other expenses.

Step-by-step explanation:

1/4 of the budget - buildings and maintenance.

Administrative personnel : 1/4 + 1/8 = 2/8 + 1/8 = 3/8 of the budget.

Therefore:

3/8 of the budget - administrative personnel.

Public safety : 3/8 - 1/8 = 2/8 = 1/4 of the budget.

For other expenses :

1 - ( 1/4 + 3/8 + 1/4 ) = 1 - ( 2/8 + 3/8 + 2/8 ) 1 - 7/8 = 1/8

Finally, 1/8 of the total budget was for the other expenses.

6 0

3 years ago

Find the area of the shaded region

MAVERICK [17]

Answer:

197.77

Step-by-step explanation:

Area of circle: A=pi r^2

A= pi 9^2

A= 81 pi

only half of the circle so 40.5

Area of a Square: L x W

18 x 18 = 324

324 - 40.5pi = 197.77

5 0

3 years ago