Answer:
1. slope= 2/9
2. y intercept=-3
3. the line is increasing
Step-by-step explanation:
First, get the difference between the price level changes.
Then, divide it by the initial price level, which is 109.
Multiply by 100 to get its percent.
Thefore, the inflation rate during the year is 3.67 percent.
First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
The prove that the equation can be verified using the laws of exponents.
<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>
It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).
It follows from the laws of indices ; particularly, the product of same base numbers.
The evaluation is therefore as follows;
2^(2x+4)= 16 • 2^(2x)
2^(2x) • 2⁴ = 16 • 2^(2x)
2^(2x) • 16 = 16 • 2^(2x)
Hence, since LHS = RHS, it follows that the expression is mathematically correct.
Read more on laws of exponents;
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Given: 3y cos x = x² + y²
Define
Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)
Answer:
