Find the solutions to the equation below check all that apply 2x^2+7x+3=0 a. x=2 b. x=7 c. x=-1/2 d. x=3 e. x=4 f. x=-3

C. x=-1/2  and F. x=-3

Step-by-step explanation:

We can solve this by factoring.  We will look for factors of a*c, 2*3, that sum to b, 7.  Factors of 6 are:

1 and 6; these sum to 7.

2 and 3; these do not sum to 7.

We will use 1 and 6.  We will split bx, 7x, into 1x and 6x:

2x²+1x+6x+3 = 0

We will group the first two and the last two terms together:

(2x²+1x)+(6x+3) = 0

We will factor out the GCF of each group.  The GCF of the first group is 1x:

1x(2x+1)+(6x+3) = 0

The GCF of the second group is 3:

1x(2x+1)+3(2x+1) = 0

The GCF of the two terms remaining is (2x+1); factoring this out,

(2x+1)(1x+3) = 0

Using the zero product property,

2x+1 = 0 or 1x+3 = 0

To solve the first equation, subtract 1 from each side:

2x+1-1 = 0-1

2x = -1

Divide both sides by 2:

2x/2 = -1/2

x = -1/2

To solve the second equation, subtract 3 from each side:

1x+3-3 = 0-3

x = -3

step-by-step explanation:

1

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,