Answer:
600 minutes
Step-by-step explanation:
Let's make the two equations equal to each other.
24 + .13x = .17x
Subtract .13x from both sides.
24 = .17x - .13x
24 = .04x
Divide by .04 on both sides to get the value of x.
24/.04 = 600
x = 600
Therefore, for 600 minutes of calls will the cost of the two phone plans be equal.
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
If the width of the rectangle is 254, then its perimeter is (508) + ( 2 times its length).
35%
7/20
Multiply both sides by 5.
35/100
35%
Answer:
15 ≤ x - 10
Well, that's how you describe it, and I write it for you.
