Answer:
$7.5 plus $65 per hour
Step-by-step explanation:
We are trying to find the minimum she can make in one day. The minimum amount of hours she can work is 1, so find y when x=1:
y=7.5x+65
y=7.5(1)+65
y=7.5+65
Answer:
$7.23
Step-by-step explanation:
(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23
Complete the square:
F(x) = -3x² - 6x - 5
F(x) = -3 (x² + 2x) - 5
F(x) = -3 (x² + 2x + 1 - 1) - 5
F(x) = -3 ((x + 1)² - 1) - 5
F(x) = -3 (x + 1)² + 3 - 5
F(x) = -3 (x + 1)² - 2
The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :
F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5
The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.
The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from
(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2
This is to say, every point on the parabola has a y-coordinate no greater than -2.
As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.
Answer:
A
Step-by-step explanation:
Remember that x^(b-c)
Using that =3^(1/2x-1/2)=3^((x-1)/2)
So we can say: , because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
Answer:
Scalene and acute
Step-by-step explanation: