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svetoff [14.1K]

4 years ago

5

Can someone help me solve this problem please ? 3(8-6)=t

2 answers:

iVinArrow [24]4 years ago

7 0

T= 6 that is the answer

Tom [10]4 years ago

7 0

3(8-6)=t. 8-6 is equal to 2. 3*2=6. t=6

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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

PLS ANSWER BEST ANSWER GETS BRAINLIEST Tim wants to decorate a rectangular card with a width of 1/2 inch and an area of 7/4 squa

vovikov84 [41]

Answer:

$\frac{7}{2}$ in

Step-by-step explanation:

First you must set up an equation. $\frac{1}{2}x=\frac{7}{4}$

Then, you must solve for x. $x=\frac{7}{2}$

6 0

3 years ago

Can someone PLEASE solve this for me and show your work?

Blababa [14]

Answer:

D.) 47 $\frac{3}{4}$ oz

Step-by-step explanation:

3 2/4 + (3 x 4 1/4) + (2 x 4 3/4) + (4 x 5 2/4) = 47 3/4

4 0

3 years ago

Ariel wants to write 8 entries for her blog. After 2 hours, she has 5 entries left. After 4 hours, she has 2 entries left. Which

mash [69]

Let x be a time in hours and y be an amount of remaining entries. You have that:

At start Ariel wants to write 8 entries for her blog. This means that x=0 and y=8 (0 entries were written). The point with coordinates (0,8) belongs to needed graph.
After 2 hours, she has 5 entries left. This gives you that at x=2, y=5 and graph passes through the point (2,5).
After 4 hours, she has 2 entries left. This gives you that at x=4, y=2 and graph passes through the point (4,2).

Find the slope of the line that is passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ by formula

$\dfrac{y_2-y_1}{x_2-x_1}.$

Thus, the slope is

$\dfrac{5-2}{2-4}=-1.5.$

Answer: graph of line going through (0, 8) with a slope of -1.5

6 0

4 years ago

Read 2 more answers

Alicia's bowling score was 111. David's score was 89.<br> How much higher was Alicia's score?

alukav5142 [94]

Answer:

22 points higher

Step-by-step explanation:

111-89=22 so the difference between the scores is 22 points! Good luck!

6 0

3 years ago