Answer:
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Step-by-step explanation:
Answer:
y = 2x-13
Step-by-step explanation:
The equation for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
We know a point so we have a y and an x, so we can solve for b
-1 = 2(6) +b
-1 =12+b
Subtract 12 from each side
-1-12 = 12-12+b
-13 =b
Substitute this into y = 2x+b
y = 2x-13
Answer:
178.0
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
Using the rules of logarithms
ln x = ln y ⇒ x = y
ln e = 1
Given
2 ln e ln 5x = 2 ln 15 ( divide both sides by 2 )
ln e ln 5x = ln 15
ln 5x = ln 15, hence
5x = 15 ( divide both sides by 5 )
x = 3
A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2
a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3
Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15
</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
<span>a = 15
</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!
eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!
