Answer:
D
Step-by-step explanation:
Given
x = 6 - x² ( subtract 6 - x² from both sides )
x² + x - 6 = 0 ← in standard form
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)
The factors are + 3 and - 2, since
- 3 × 2 = - 6 and 3 - 2 = + 1, thus
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
Sum of solutions = - 3 + 2 = - 1 → D
Answer:
i need help on that to
Step-by-step explanation:
plese
<h3>Answer:</h3>
y=-5x-2
<h3>Solution:</h3>
- We are given the line's slope and a point that it passes through.
- Using the given information, we can write the equation of the line in Point-Slope Form:
- In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.
- In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.
- Plug in the values:
- y-(-12)=-5(x-2)
- y+12=-5(x-2)
- Now, convert into Slope-Intercept Form, y=mx+b:
- y+12=-5x+10
- y=-5x+10-12
- y=-5x-2
Hope it helps.
Do comment if you have any query.
Answer:
The vertex form parabola y = 2( x+4)² -37
Step-by-step explanation:
<u>Step(i):-</u>
Given parabola equation j(x) = 2x² + 8x -5
Let y = 2x² + 8x -5
⇒ y = 2(x² + 2(4x)+(4)²-(4)²) -5
By using (a + b)² = a² +2ab +b²
y = 2(x+4)²- 32 -5
y = 2 ( x-(-4))² -37
<u><em>Step(ii):-</em></u>
The vertex form parabola y = a( x-h)² +k
The vertex form parabola y = 2(x+4)² -37
Answer:
La máquina estampará 9000 letras en una hora.
Step-by-step explanation:
hay 60 minutos en una hora y 150 letras por minuto, así que 150 x 60 = 9000
espero que esto ayude!
