Which function describes the arithmetic sequence shown?
3.7, 11, 15, 19, 23,
a) f(x)=4x-4
b) f(x) = 4x -3
c) f(x) = 4x - 2
d) f(x) = 4x –1

f(x) 4x-1   d)

Step-by-step explanation:3.7, 11, 15, 19, 23,

hello :

23-19=19-15=15-11=11-7=7-3=4common diference

the first term is : 3       f(x) = 3+4(x-1)  ...genral term

f(x) 4x-1     d)

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