Answer:
<h2>-4</h2>
Step-by-step explanation:
Given the line containing the points.
x | -7. -6. -5. -4
y | 21. 17. 13. 9
The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁
Using the coordinates y (21, 17) and corresponding value of x(-7, -6)
y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6
Substituting the values into the formula for calculating the slope, we have;
m = Δy/Δx = 17-21/-6-(-7)
m = -4/-6+7
m = -4/1
m = -4
<em>Hence the slope of the line that contains these points is -4</em>
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
Answer:
24/49
Step-by-step explanation:
Let's add the terms and see if there's a pattern
Suppose we say the sum of n terms is (n/(2n+1)), the next term in the series will be 1/((2n+1)(2n+3)) and adding that to the presumed sum gives ...
Then it appears the sum of n terms is (n/(2n+1)). So, the sum of 24 terms is ...
Answer:
75%
Step-by-step explanation:
y+x = 100%
x-25%=y
x-y=25%
X=25%-Y
75%
100-0.0124=99.9876
10%=1/10
1/10P=P(0.999876)^t
divide both sides by P
1/10=0.999876^t
take ln of both sides
ln(1/10)=t (ln(0.999876))
divide both sides by (ln(0.999876))
ln(1/10)/(ln(0.999876))=t
use calculator
18568.08=t
about 18568 years
