7g + 3g - 10 + 3 = 43
(first combine likes terms)
10g - 7 = 43
(then add 7 to both sides)
10g - 7 = 43
+7 +7
10g = 50
(then divide by 10 to get what g is equal to)
10g = 50
/10 /10
g = 5
<u>Annotation</u>General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.
One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)
The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)
Plug the d-v-t relationship to the second equationd₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262
Plug the v₁ as (v₂+5) from the first equation2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.Find the velocity of the first car, use the first equationv₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.
Answer
b= 2 and 5
is your answer to the above question.
1) First find the multiplier.
Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.
2)Ask how do we get from 5 to 3?
- We subtract 2 so the multiplier is -2
3)Lets make a linear equation: y=mx +b
- m= multiplier or slope
- x= Just equals x value
- b= your starting value or the 0 term which is 5
4)Use the values that you have to create your equation.
Note:For the x value just plug in the x value from your table.
Ex.
<span> 2ab + 2bc + 2ac the formula for the rectangular prism and i'm guessing you would find the answer to this than you would find your formula for the cube which is </span><span><span>6 a </span>2 and you would find that answer.
</span>You would take your total for the rectangular prism answer and subtract the cube answer from it and you would probably get your answer.
hope that helped?!
:)