The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?

12 = 1/2(x)(5x - 2)

Bonus solution for x = 2.4 ft

Step-by-step explanation:

area = 1/2xh

h = 5x - 2

12 = 1/2(x)(5x - 2)

24 = 5x² - 2x

5x² - 2x - 24 = 0

x² - 0.4x - 4.8 = 0

(x - 2.4)(x + 2) = 0

x = 2.4

5x^2 − 2x − 24 = 0

Step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6