Answer:
a = -4
b = 3
c = 6
Step-by-step explanation:
x^2 + 8x = 38
We take the coefficient of the x term
Divide by 2 and then square it
8/2 =4
4^2 = 16
Add 16 to both sides
x^2 +8x + 16 = 38 + 16
x^2 +8x +16 = 54
Take b/2 and use it in the the (x+b/2)^2
(x+4)^2 = 54
Take the square root of each side
sqrt((x+4)^2) = ± sqrt(54)
x+4 = ± sqrt(54)
Subtract 4 from each side
x+4-4 = -4 ± sqrt(54)
x = -4 ± sqrt(54)
Simplify the square root
x = -4 ± sqrt(9*6)
x = -4 ± sqrt(9) sqrt(6)
x = -4 ± 3 sqrt(6)
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!
Step-by-step explanation:
- factorise using AC method
AC= 3 x 2 = 6
find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)
- put them as x in the equation to replace 5x
3x^2 + 2x + 3x + 2
- split the equation in half and expand each side
3x^2+2x | 3x+2
x(3x+2)+1(3x+2)
- put the numbers outside the brackets into a separate bracket
= (x+1)(3x+2)
It could be either y = 12.75x or y = 13x. Check if you made a typing error because these rates are both better than B
Find the axis of symmetry for this parabola.
y = 3x2 - 6x - 9
x = -3
☆☆☆☆☆☆☆☆☆☆☆☆☆☆☆x = 1
x = 3
x=4
-b/2a=-(-6)/2(3)
=6/6=1
