Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
the price of the shirt without discount is 75,000 pesos
Step-by-step explanation:
The computation of the price of the shirt without discount as follows:
There is a discount of 20%
And the person pays 60,000 pesos after considering the discount
So, the price without discount is
= 60,000 pesos ÷ 0.80
= 75,000 pesos
hence, the price of the shirt without discount is 75,000 pesos
Answer:
Step-by-step explanation:
We observe a vertical shift.
The shift is negative by 3 units.
<u>The rule for this translation is:</u>
Negative multiply negative = Positive
Negative multiply positive = negative
Thus the answer is -4a + 16b - 12c - 12d.
Answer:
Step-by-step explanation:
z = 3
2y + z = 1
2y + 3 = 1 {substituting z =3}
2y = 1 -3
2y = -2
y = - 2/2
y = -1
2x +3y +2z = 13
2x + 3 * (-1) + 2*3 = 13 { {substituting z =3} and y = -1}
2x -3 + 6 =13
2x + 3 = 13
2x = 13 - 3
2x= 10
x = 10/2
x = 5