Answer:
i d k cuz they r du.mb???
Step-by-step explanation:
have a nice day :) :) :)
1. Combining like terms
2. Combining
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
x = 5i x =-5i
Step-by-step explanation:
x^2+25=0
Rewriting
x^2 - (-25)=0
Writing as the difference of squares
a^2 - b^2= (a-b) (a+b)
where a = x and b = (sqrt(-25)) =±5i
( x-5i) ( x+5i) =0
Using the zero product property
x-5i =0 x+5i =0
x = 5i x =-5i
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
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Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
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Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, <u>8 years</u> after 2014 (aka the <u>the year 2022</u>) is when the new car average price will be $47,600.
