So, multiply the terms with equal exponents by multiplying their bases.
So, (2^7 × 4^7)^3 becomes [(2×4)^7]^3
Then, just multiply the numbers.
(8^7)^3
Then, simplify the expression by multiplying the exponents. So, the answer should be 8^21 or eight to the 21st power.
Answer:
$0.31
Step-by-step explanation:
The inequality that represents the steps taken after the first day is 2000 + 500x ≥ 10000
<h3>Part A: The inequality that represents the number of steps?</h3>
The given parameters are:
- Initial number of steps = 2000
- Rate each day = 500
- Total number of steps = At least 10000
In inequality, at least means greater than or equal to i.e. ≥.
So, the inequality that represents the number of step each day (x) after the first day is:
2000 + 500 * x ≥ 10000
This gives
2000 + 500x ≥ 10000
<h3>Part B: How to exceed the goal</h3>
To exceed the goal faster, Angel can do any of the following activities:
- Increase the initial number of steps from 2000 to (say) 2500. This is represented by 2500 + 500x ≥ 10000
- Increase the rate from 500 to (say) 600. This is represented by 2000 + 600x ≥ 10000
Read more about linear inequalities at:
brainly.com/question/18881247
#SPJ1
Answer:
Step-by-step explanation:
Commutative property of addition:
Changing the order of addends does not change the sum.
<h3>Hope it is helpful...</h3>
9514 1404 393
Answer:
see the attachment for a graph
Step-by-step explanation:
With the given point and slope, the equation of the line can be written in point-slope form:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)
__
Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:
(-1 +2, 2 +1) = (1, 3).
You can draw your line through those two points.
