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3 years ago

Simplify each expression

Mathematics

1 answer:

leva [86]3 years ago

6 0

(r^2- r^4)- (6r^4+ 2r^2)
= r^2 -r^4- 6r^4- 2r^2
= (r^2- 2r^2)+ (-r^4-6r^4)
= -r^2 -7r^4
= -r^2* (1+ 7r^2).

The final answer is -r^2* (1+ 7r^2).

Hope this helps~

Similar to my last question:

pickupchik [31]

70 × 20%
70 × .20 = .14
so .70 - .14 = $.56

6 0

3 years ago

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Marat540 [252]

F(x) = 6x² + 5 - 42x

first step in writing the f(x) in vertex form? WRITE THE FUNCTION IN STANDARD FORM.

f(x) = 6x² - 42x + 5

Exponents must be in decreasing order.

7 0

3 years ago

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Use addition to solve the linear system of equations. Include all of your work in your final answer. $\left\{ \right.$ 3x-y=6

ad-work [718]

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

$3x-y=6 \\y=x-4$

We can write second equation y=x-4 as: $-x+y=-4$

Let:

$3x-y=6--eq(1)\\ -x+y=-4--eq(2)$

Now, Adding equation 1 and 2

$3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1$

So, we get x = 1

Now, put value of x in second equation to find value of y:

$y=x-4\\Put\:x=1\\y=1-4\\y=-3$

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

4 0

3 years ago

What is the inverse of the function below?<br><br> f(x) = 2^x + 6

Helen [10]

The inverse of this function would be f(x) = $\frac{Log(x - 6)}{Log2}$ .

You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.

f(x) = $2^{x}$ - 6 ----> Switch f(x) and x

x = $2^{f(x)}$ - 6 ----> Add 6 to both sides

x + 6 = $2^{f(x)}$ -----> Take the logarithm of both sides in order to get the f(x) out of the exponent

Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2

$\frac{Log(x + 6)}{Log2}$ = f(x) ----> And switch the order for formatting purposes.

f(x) = $\frac{Log(x + 6)}{Log2}$

And that would be your new inverse function.

6 0

3 years ago

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