Answer: B. Y=2/3x
Step-by-step explanation:
One number is six times as large as a certain smaller number.
i.e., Y = 6x
Answer is 6x
Answer: 0.15 is equivalent to 3/20
Hey there :)
Let us translate each one separately
{ Using w for unknown }
The
difference of a number divided by 3 and 5
is 2
'is' is the key-word, meaning you apply the = sign
Difference is subtraction
→ a number divided by 3 - 5 = 2
This is your equation: →
Solving for wTake 5 to the other side
[ When you see subtraction you do addition on the opposite side ]
→

Take 3 to the other side
[ When you see division you do multiplication on the opposite side ]
w = 3 x 7
w = 21
Step-by-step explanation:
f(x) = x² - 4x - 4
the general formula for solving such a quadratic equation (for f(x) = 0) is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = -4
x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =
= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)
x1 = 2 + 2×sqrt(2)
x2 = 2 - 2×sqrt(2)