Answer:
A
Step-by-step explanation:
Here, we want to write the final formula for the equation after performing the given transformations
Reflection on the y-axis means the x-axis value will change sign
that will give:
y = -x^1/3
Transition of 3 units in the positive x axis
mathematically, we are adding 3 to x
so we have
y = -(x+3)^1/3
4 units in the negative y direction means we are subtracting 4 from the whole equation
That means;
y = -(x + 3)^1/3 - 4
This shows that the first option is right
Answer:
a=5/2 a=2.5
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
$13.67 - $11.50
So the raise over 7 years was $2.17
So to find the annual raise in the wage:
$2.17 / 7 = 0.31
His wage was raised <u>.31 every year</u>.
Answer:
52
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side =
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side =
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B