Jacob can create an app in 24 hours, but if he works with a friend, they both can create the app in 16 hours. how long would it take his friend to create this app alone?

48 hours

Step-by-step explanation:

Given that,

number of hours Jacob takes to create an app = 24 hours

number of hours both takes to create an app = 16 hours

To find,

number of hour Jacob's friend takes to create an app = x hours

Jacob create 1/24 part of app in an hour

Jacob's friend create 1/x part of app in an hour

Take reciprocal

24x / (x + 24) = 16

24x = 16 (x +24)

24x = 16x + 384

24x - 16x = 384

8x = 384

x = 384/8

x = 48

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc