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3 years ago

Find the slope of the line graphed

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

The slope is $\frac{3}{5}$ because if you do the rise over run method, it goes up 3 times and right 5 times, therefor being $\frac{3}{5}$ .

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Simplify f+g / f-g when f(x)= x-4 / x+9 and g(x)= x-9 / x+4

steposvetlana [31]

$f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}$

$\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}$

6 0

3 years ago

Read 2 more answers

Rewrite using a fractional exponent<br><br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B7%5E2%7D" id="TexFormula1" title=

tangare [24]

Answer:

$7^{\frac{1}{3} }$

Step-by-step explanation:

Using the rule of exponents

$\sqrt[n]{a^{m} }$ ⇔ $a^{\frac{m}{n} }$ , then

$\sqrt[6]{7^{2} }$ = $7^{\frac{2}{6} }$ = $7^{\frac{1}{3} }$

8 0

3 years ago

WhAt is the answer to -12 - 3=-51

svet-max [94.6K]

Greetings!

Simplify both sides of the equation.
$-12 - 3=-51$
$-15 \neq -51$

Both sides of the equation are not equal.

Hope this helps.
-Benjamin

7 0

3 years ago

Customers can pick their own pumpkins at the great pumpkin patch. They pay 4$ to enter the patch and 3$ per pound for the pumpki

klasskru [66]

Given, Customers pay $4 to enter the pumpkin patch.

And also given, customers pay $3 per pound for the pumpkins.

Given, $y be the total cost and there are x pounds of pumpkins.

The cost for pumpkin per pound = $3.

Therefore, the cost for x pound pumpkins = $(3x)

As the total cost includes the payment for entering the patch also,

So the total cost y = 3x + 4

We have got the required equation.

The equation to model the total cost is y = 3x+4.

5 0

2 years ago

A bakery offers a sale price of 3.50 for 4 muffins.What is the price per dozen

hammer [34]

1
3.50
3.50
+3.50
______
10 .50

6 0

3 years ago