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GarryVolchara [31]
3 years ago
8

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

Mathematics
2 answers:
mixas84 [53]3 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]3 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

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The triangles below are similar because of the:
siniylev [52]

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

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2 years ago
What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
  • Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

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Find an explicit formula for the geometric sequence -40,-20,-10......
garik1379 [7]

Answer:

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

c(n) = c_{1}\cdot r^{n-1}, n \ge 1 (1)

Where:

c_{1} - First term.

r - Geometric rate.

n - Position of the element within the series.

If we know that c_{1} = -40 and r = \frac{1}{2}, then the explicit formula for the geometric sequence is:

c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

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