Answer:
y = 2x−2
Step-by-step explanation:
You are given a slope and a point, so you can write the equation using point-slope form:
y -k = m(x -h) . . . . . . a line with slope m through point (h, k)
Putting in the numbers given, you have ...
y -6 = 2(x -4)
y = 2x -8 +6 . . . . eliminate parentheses, add 6
y = 2x -2 . . . . . . . collect terms.
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You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.
- 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
- 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
- 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
Median: Sort from least to greatest and find the # in the middle.
Sort: 54, 58, 58, 60, 62.
Number in the middle: 58, so the median is 58.
Mode: 58, because it appears most.
Range: Subtracting bigger number from smaller number.
Finding it: 62-54 = 8
If you want to find the mean, then here:
Mean: Solving average (adding all #s together and dividing by how many numbers are there) <span>58 + 54 + 62 + 58 + 60 = 292.
</span>Divide by 5 = 58.4
Hope that helps you. Good luck with it.
Follow if you want.
480 pennies.
25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)
35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)
25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.
The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.
1200(100%) - 720(60%) = 480(40%).
Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
Answer:
19.5 kilometers
Step-by-step explanation:
to find how much he ran we can multiply the two numbers
26 * 0.75 is 19.5
he only ran 19.5 kilometers
A ton is equivalent to 1000 pounds so:
the elephant weighs 5000 pounds
5000-570= 4430
The elephants weighs 4430 pounds more.
