Josh is doing sit-ups at a speed of 5 sit-ups per 7 seconds. (First find this speed). Three minutes (180 seconds) later, he is doing sit-ups at a rate of 7 sit-ups per 8 seconds (Second find this speed). What is Josh's acceleration?

9.1*10^-4 sit-ups per square second

Step-by-step explanation:

Given data

Initial speed= 5/7 = 0.71 sit-ups per second

Time interval= 180 seconds

Final speed= 7/8 = 0.875 sit-ups per second

Hence the acceleration is given as

a= v-u/t

a= (0.875- 0.71)/180

a= 0.165/180

a=0.00091666666

a= 9.1*10^-4 sit-ups per square second

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1