consider the sequence -101, -91, -81, -71,
determine an explicit formula for the nth term of the sequence.

a n = 10 n − 111

Step-by-step explanation:

Use the formula  a n = a 1 +d ( n − 1 )  to identify the arithmetic sequence.

a n = 10 n − 111

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

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