The table shows the price for ingredients in trail mix at the local grocery store. Joshua buys 1/5 pound of mixed nuts. 1/2 pound of chocolate candies, and 1 1/4 pound of granola to make the trail mix. How much did Joshua spend to make the trail mix? TYPE COST (per pound) Mixed Nuts $2.50 Chocolate Candies $3.40 Granola $5.60

$9.20

Step-by-step explanation:

Mixed nuts = 1/5

Chocolate candies = 1/2

Granola = 1 1/4

Cost of the trail mix

Mixed Nuts $2.50

Chocolate Candies $3.40 Granola $5.60

= 1/5 * 2.50 + 1/2 * 3.40 + 1 1/4 * 5.60

= 0.5 + 1.7 + 7

= $9.20

Touches at -3 and crosses at 3.5

Step-by-step explanation:

f(x)=(2x-7)^7 (x+3)^4 is given

To find x intercepts:

for x intercepts the value of f(x) =0

Hence f(x)=(2x-7)^7 (x+3)^4=0

Solving we get

2x-7 =0 or x+3 =0

x = 3.5 or x=-3

Thus we find the zeroes of the polynomial of f(x) are 3.5 and -3.

3.5 has a multiplicity of 7 and -3 a multiplicity of 4

Since 7 is odd, i.e. 3.5 has a multiplicity of odd number, hence f(x) crosses x axis at x 3.5

Since -3 has a multiplicity of an even number 4, we find that the curve touches x axis at the point -3.