Someone pleaseee help on part b

S: (½, -15)

Step-by-step explanation:

Slope of the tangent: 4

Coordinates of R: (2,y)

y = 3(2)² - 8(2) - 5 = -9

Equation of tangent:

y = 4x + c

-9 = 4(2) + c

c = -17

y = 4x - 17

Point of intersection of tangent and the other curve:

4x - 17 = 4x - (1/x³) - 9

4x⁴ - 17x³ = 4x⁴ - 1 - 9x³

-8x³ = -1

x³ = ⅛

x = ½

y = 4(½) - 17

y = -15

S: (½, -15)

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

a. she will receive a refund of $278.

step-by-step explanation: