The correct answer should be “V+0.36”
Answer:
less than
Step-by-step explanation:
it will be a decimal answer rather a fraction
<h3>
Answer: y = x^3+2x^2+3</h3>
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Explanation:
If you plug in x = 0 and y = 3, then the original equation boils down to c = 3. The x = 0 cancels out pretty much everything except that c term.
We have y=ax^3+bx^2+c update to y=ax^3+bx^2+3
Now plug in x = 1 and y = 6 from the point (1,6)
y=ax^3+bx^2+3
6=a(1)^3+b(1)^2+3
6 = a+b + 3
a+b = 6-3
a+b = 3
Now plug in the coordinates of (-1,4) which are x = -1 and y = 4
y=ax^3+bx^2+3
4=a(-1)^3+b(-1)^2+3
4 = -a + b + 3
-a+b = 4-3
-a+b = 1
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Here are the two equations we're interested in
a+b = 3
-a+b = 1
We'll add these equations straight down. The 'a' terms cancel. The b terms add to 2b. The right hand sides add to 3+1 = 4
We're left with 2b = 4 and it solves to b = 2
Use any of the equations involving 'a' and b to determine that a = 1
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To summarize we have
a = 1
b = 2
c = 3
This means y=ax^3+bx^2+c updates fully to y=1x^3+2x^2+3 which simplifies to y = x^3+2x^2+3 and it's the final answer.
Visual verification is shown below. Desmos is a graphing tool I use all the time, as well as GeoGebra. Both are free apps.
Simplify both sides of the equation
3(x-4)+12(x-9)=4x+13
Distribute
(3)(x)+(3)(-4)+(12)(x)+(12)(-9)=4x+13
3x+-12+12x+-108=4x+13
Combine like terms
15x+-120=4x+13
15x-120=4x+13
Subtract 4 from both sides
15x-120-4x=4x+13-4x
11x-120=13
Add 120 to both sides
11x-120+120=13+120
11x=133
Divide both sides by 11
11x/11=133/11
x=133/11
or x= 12 1/11
I hope that's help !
Answer:
(6.4, 2.2)
Step-by-step explanation:
(3-1)/(8-4) = 2/4 = 1/2 = m
y = mx + b
1 = 1/2(4) + b
-1 = b
y = 1/2x - 1
perpendicular slope is -2
y = mx + b
3 = -2(6) + b
15 = b
y = -2x + 15