Due to length restrictions, we kindly invite to read the explanation of this question to learn more on power properties.
<h3>How to understand power properties</h3>
Herein we must explain some properties of power expressions with integer exponents. A power of the form aᵇ is a product of the form a × a × a × a × ... × a, where a is repeated b times. a and b are the base and the exponent of the power.
First, we proceed to demonstrate that a⁰ = a:
a⁰ Given
a¹ ⁻ ¹ Existence of the additive inverse / Modulative property
a¹ · a⁻¹ Multiplication of powers of equal base
a¹ · (a¹)⁻¹ Power of a power / (- a) · b = - a · b
1 Existence of multiplicative inverse / Modulative property / Result
By definition of power, we find that a¹ as a is only only time.
To learn more on power properties: brainly.com/question/2499975
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Answer:
9
Step-by-step explanation:
Hope this helps!
Answer:
y < -5
Step-by-step explanation:
19 > -6 - 5y
add 6 to both sides
25 > - 5y
divide by -5
-5 > y
Answer:
y = 2x + b (the second answer choice)
Step-by-step explanation:
The slope-intercept form is y = mx + b (the m representing slope and the b representing y-intercept). Put the points in ratio form as a fraction and subtract the ratio with the smallest numbers from the ratio with the largest ratio (5/1 - 1/-1) to get 4/2. When simplified, it becomes 2/1, so the slope is 2. Using the slope found previously, subtract 1 from the x of (1, 5) and 2 from the y of (1, 5) to get the y-intercept. The resulting point is (0, 3), so the y-intercept is 3. Replace the m with the found slope (2) and b with the found y-intercept (3) to end up with y = 2x + 3.
