All categories

2 years ago

If (5^0)^x = 1, what are the possible values of x?

Mathematics

2 answers:

mixas84 [53]2 years ago

8 0

Answer:

x can be any value

Step-by-step explanation:

(5^0)^x = 1,

5^0 =1

1^x =1

X can be any value

Flura [38]2 years ago

4 0

For this case we have the following expression:

$(5^{ 0})^{x} = 1$

By definition of power properties we have to:

$(a ^ n) ^ m = a ^{n * m}$

Then, rewriting the expression:

$5 ^ 0 = 1$

Thus, the variable "x" can take any value:

Answer:

The variable "x" can take any value

You might be interested in

4x+y=10 ( ?,-6) Find the missing value. Show all work.

ivann1987 [24]

Answer:

(4 , -6) x = 4.

Step-by-step explanation:

Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.

so now we know that ( ? , -6) has an X value which is unknown.

inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)

now plot the y value into the equation

4X + Y = 10 , Y = -6

4X + (-6) = 10

4X + - 6 = 10 ...... we know that A + - B = A - B

4X - 6 = 10

now take -6 to the right side

when -6 is taken to the right side, it changes to +6

and so ..

4X = 10 + 6

4X = 16

now divide both sides by 4 to find X

4X / 4 = 16 / 4

4 the coefficient of X which is 4 cancels with out denominator which is now 4

X = 16 / 4

16 ÷ 4 = 4.

5 0

2 years ago

Find the slope intercept (9,5),(7,-11) y=

grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

x₁= 7

Now let set it up into the equation of y over x

Slope = 5- (-11) = 5 + 11 = 16 = 8

9-7 9-7 2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

-56 -56

-67 = b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

6 0

3 years ago

which shows the equation in point-slope form of the line passing through the given point with the given slope. (0,5), m=1/3

Lynna [10]

Answer: y-5=1/3(x-0)

7 0

3 years ago

Choose the correct simplification of (2xy7)2(y4)3.

gulaghasi [49]

The simplification for this equation would be, 4x^2 y^26

5 0

2 years ago

Will someone please answer these questions fast and I will give the brainliest? I really need help and it would be appreciated.

Anika [276]

Hello there,

(1) $7934.37

interest would be $2934.37

(2) $2593.74

interest would be $1593.74

(3) $1469.33

interest would be $469.33

(4) $1296.87

interest would be $796.87

(5) $239.66

interest would be $139.66

(6) $4660.96

interest would be $3660.96

Hope I Helped!

-Char

7 0

2 years ago