Convert the expression 10-(-30) to an addition expression. HELPPP MEEE PLSSSSSSSSS

Simplify. Write the expression using only positive exponents. 3d^−4⋅4d^4 PPPLLLLEEEASSSEEEEE

bixtya [17]

Answer:

d=0

Step-by-step explanation:

Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:

(3 x 4) x (d^-4 x d^4)

The first term is easy enough: (3 x 4) = 12

For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.

So, if d equals any number other than zero, the expression becomes

(12) x (1) = 12

The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0

5 0

2 years ago

The graphs below are both absolute value functions. The equation of the redgraph is f(x) = |xl. Which of these is the equation o

grigory [225]

ANSWER

$\Rightarrow y=\frac{1}{2}|x|$

EXPLANATION

We want to find the absolute value function for the line in blue.

The general form of an absolute value function is:

$y=a|x-h|+k$

where (h, k) = vertex

From the line, the vertex of the graph in blue is:

$(0,0)$

To find a, we have to pick a point (x, y) on the line and input it into the general function.

Let us pick (2, 1).

Therefore, we have:

$\begin{gathered} 1=a|2-0|+0 \\ 1=a|2|=2a \\ \Rightarrow a=\frac{1}{2} \end{gathered}$

Therefore, the absolute value function is:

$\begin{gathered} y=\frac{1}{2}|x-0|+0 \\ \Rightarrow y=\frac{1}{2}|x| \end{gathered}$

3 0

9 months ago

What is the insverse of the function f(x) =2x+1?

goldenfox [79]

F(x) = 2x + 1

To find the inverse of a function you just need to switch the x by y or vice-versa:

-> y = 2x + 1
-> x = 2y + 1

After that you isolate the y again:

-> 2y = x - 1

-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2

Answer:
$f^{ - 1} (x) = (x - 1) \div 2$

5 0

2 years ago

What is 17/18 + 1/20

MrMuchimi

Answer:

179/180

Step-by-step explanation:

Step One

Find the prime factors of 18 and 20

18:3*3*2

20: 2 * 2 * 5

Step Two

You need two 2s two 3s and one 5 for the common denominator

The common denominator is 2 * 2 * 3 * 3 * 5 = 180

Step Three

Put the two fractions over 180

$\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}$

$\dfrac{170}{180} + \dfrac{9}{180}$

179/180

8 0

2 years ago

Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis

Snowcat [4.5K]

Answer:

I assume that the function is:

$f(x) = \frac{1}{4}*8^x$

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

$f(x) = \frac{1}{4}*8^x$

then:

$g(x) = -f(-x) = -\frac{1}{4}*8^{-x}$

Now we can graph this, to get the graph you can see below:

6 0

2 years ago