Answer:
{-2/7, 2/7}
Step-by-step explanation:
Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.
49w^2-4=0 is the product of the sum and difference of two squares:
(7w - 2)(7w + 2) = 0
Setting each factor equal to zero and solving for w, we get:
{-2/7, 2/7} as the solutions.
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
The number of pages in the book is actually irrelevant.
Franco reads 30 pages in 1 night. To find how many pages he reads in 7 nights, just multiply by 7.
30*7=210
Franco reads 210 pages in 7 nights.
Solving with Equivalent Ratios:
The ratio of pages he reads per night is 30:1. We need to figure out the ratio <em>x</em>:7, where the variable <em>x</em> is the number of pages he reads in 7 nights.
30:1=<em>x</em>:7
To find x we need to see the similarity between both ratios. This is found by dividing two of the equal sides, here it would be 7 and 1.
7/1=7
This means that the second ratio is 7 times the first ration. To find <em>x</em>, just multiply 30 by 7.
30*7=210
Franco reads 210 pages every 7 nights.
Answer: p = 16
Step-by-step explanation:
Replace the I with 5 and the W with 3.
2(5) + 2(3) = 10 + 6 = 16
