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
Answer:
Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function <em>f </em>at the number a is:
............ equation (1)
Now we will find the function <em>f </em> and all derivatives of the function <em>f</em> at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function <em>f</em> at a = -4 means that we substitute the value of each function into equation (1)
So, we get 
Or
Answer:
The average rate of speed is 61!
Step-by-step explanation:
183 miles divided by 3 hours of driving is 61 average rate of speed. :)
Answer:
Therefore Neither option A nor option B will allow them to meet their goal....
Step-by-step explanation:
The Polleys need to save $6,000 over 12 months.
After 7 months they discovered that they have saved $ 3,100 but in actual they have to save $3,500. It means $400 are short. Therefore for the remaining months they must save $6000-$3100 = $2900. They have to save 2900/5 = $580 each month.
According to the Option A The original amount was $500, in 5 months they will save 500*5 =$2500. They need total of $2900, which means $400 are short.
According to the Option B Increase savings each month by $100 from their original plan makes a total amount of $3000. This amount exceeds their goal.
Therefore Neither option A nor option B will allow them to meet their goal....
Answer:
3/10
Step-by-step explanation:
4/15+x=17/30
x=17/30-4/15
x=17/30-8/30
x=9/30
simplify
x=3/10
