Ashop sells hats and scarves. the scarves cost 1.5 times as much as the hats. writ 2 patterns that could represent the costs of 1,2,3,4 and 5 hats and scarves. list the 5 terms of each pattern. then explain how to find the cost of 6 hats and scarves using the the pattern you wrote.

The pattern for hats is and the pattern for scarves is ; where n is the no. of hat or scarf respectively

Explanation:

Let, cost of hat and scarves be x and y respectively

Then, according to question,

y (cost of scarves) = (cost of hats)

or,

Calculating for hats,

For 1 hat; putting y = 1        

For 2 hats; putting y = 2  

For 3 hats; putting y = 3  

For 4 hats; putting y = 4          

For 5 hats; putting y = 5  

Therefore, we can see the pattern for hats is , where n is no. of hats

Calculating for scarves,

For 1 scarves; putting x = 1  x = = 1.5

For 2 scarves; putting x = 2  x = = = 3.0

For 3 scarves; putting x = 3  x = = = 4.5

For 4 scarves; putting x = 4  x = = = 6.0

For 5 scarves; putting x = 5  x = = = 7.5

Therefore, we can see the pattern for scarves is, where n is no. of scarves

step-by-step explanation:

it's is b

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15