Answer:
-x
Step-by-step explanation:
To find (x+1) substitue x+1 into the function.
1. 2(x+1)^2-5(x+1)+3: Substitution
2. 2x^2+4x+2-5x+5+3: First do binominal expansion theorem for 1st one then distrubtive property for the first and second one.
3.Combine like with like
, 4x+(-5x)= -x, 2-5+3=0 so
f(x+1)= -x
The distance formula<span> is derived from the Pythagorean theorem. To </span>find the distance between two points<span> (x</span>1,y1) and (x2,y2<span>).
hope that helped
</span>
Answer:
y = (-6/13)x + (4/13).,
Step-by-step explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).
If 80 miles is 50% of his trip, then you know that 80 miles is only HALF of his entire trip. To get the distance Raul traveled in total, simply double the 80 miles. This would be 160 miles.
Raul traveled a total of 160 miles in his trip.
Answer:
I would change 2x+4y=24 into x=12–2y
To do that, divide both sides by 2 and then subtract 2y on each side.
After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.
Then solve.
3(12–2y)+2y=19
36–6y+2y=19
-4y+36=19
-4y=-17
y=4.25
Then, substitute y in either equation.
Either this:
3x+2y=19
3x+2(4.25)=19
3x+8.5=19
3x=10.5
x=3.5
Or:
2x+4y=24
2x+4(4.25)=24
2x+17=24
2x=7
x=3.5
Or you could solve it in the equation you created in the beginning:
x=12–2y
x=12–2(4.25)
x=12–8.5
x=3.5
The coordinates where the lines intercept are (3.5, 4.25).
Sorry for the long answer!
