Ask question

Ask question

All categories

AlladinOne [14]

3 years ago

8

Need help asap!!!!!!!!!!!!!!!!!

1 answer:

jonny [76]3 years ago

5 0

Answer:

I needed this points but doesn't know the answer sorry

Step-by-step explanation:

You might be interested in

Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)

GenaCL600 [577]

Given:

Consider the given function:

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}$

To prove:

$f(a)+f(b)=f(a+b)$

Solution:

We have,

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}$

Substituting $x=a$ , we get

$f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}$

$f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}$

$f(a)=0+a$

$f(a)=a$

Substituting $x=b$ , we get

$f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}$

$f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}$

$f(b)=b+0$

$f(b)=b$

Substituting $x=a+b$ , we get

$f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}$

$f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}$

$f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}$

$f(a+b)=\dfrac{b^2-a^2}{b-a}$

Using the algebraic formula, we get

$f(a+b)=\dfrac{(b-a)(b+a)}{b-a}$ $[\because b^2-a^2=(b-a)(b+a)]$

$f(a+b)=b+a$

$f(a+b)=a+b$ [Commutative property of addition]

Now,

$LHS=f(a)+f(b)$

$LHS=a+b$

$LHS=f(a+b)$

$LHS=RHS$

Hence proved.

5 0

3 years ago

6. Karla keeps a log to determine how many minutes she spends on daily tasks. She makes a table to

IRINA_888 [86]

Answer:

60 seconds greater

Step-by-step explanation:

1 = 60

2 = 120

3 = 180

4 = 240

5 = 300

6 = 360

6 0

3 years ago

Jack needs 22 pirate for every two pirate ships he Manages

solniwko [45]

Answer:

Hi there! There is only one part of a question. I‘m not sure how to help you...

Sorry! Have a good day/night!

Step-by-step explanation:

3 0

3 years ago

What are the three consecutive even integers that add up to 156

son4ous [18]

First, divide 156 by 3 (the amount of consecutive integers).
156 / 3 = 52
The middle consecutive integer is 52. Add and subtract 52 by 2.
52 - 2 = 50
52 + 2 = 54
Your three integers are 50, 52, and 54. Have an awesome day! :)

5 0

3 years ago

Help please im confused on this

KatRina [158]

the answer to your question is 7

3 0

3 years ago

Read 2 more answers