Answer:
1. $427.50
2. 50 hours
Step-by-step explanation:
1. First, find your salary at minimum hours, which is $360. Then, take your second equation, plug in 45, and solve using PEMDAS. This will give you $427.50
2. To solve this, you'll need to set it up like so:
495 = 13.5 (x - 40) + 360
Your next step will be to distribute the number outside the parentheses. This will give you:
495 = 13.5x - 540 + 360
Simplify, like so:
495 = 13.5x - 180
Solve.
495 = 13.5x - 180
+180 +180
This will give you:
675 = 13.5x
Divide each side.
675 = 13.5x
------ -------
13.5 13.5
50 = x
Answer:
4.2°
Step-by-step explanation:
The result can be shown in <u>m</u><u>u</u><u>l</u><u>t</u><u>i</u><u>p</u><u>l</u><u>e</u> forms.
Exact Form: 4.2°
Decimal Form: 4.2
I hope this helps!
Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form: y=mx+b
point a: (1, 1)
point b: (2, 3)
1. Find the slope of the equation
Equation for slope(mx): (y2- y1)/ (x2-x1)
(3-1)/(2-1)= 2
slope: 2
2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.
point a: y=1, x=1
y=mx+b
1=2(1) + b
b= -1
3. Plug the answers you found above into the slope-intercept form
Overall equation:
y=2x - 1
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
