Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation:
You will find the complete question attached as a picture alongside the solution.
y = f(x) =
When f(x) ⇒ f(½); that is, x = ½
y = =
y = 1.7320508076 ≈ 1.73
y = <u>1.73</u> (to the nearest hundredth)
When f(x) ⇒ f(¼); that is, x = ¼
y = =
y = 1.316074013 ≈ 1.32
y = <u>1.32</u> (to the nearest hundredth)
8.9 x 10^-5 in scientific notation
The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
<h3>How to determine the pricing scheme?</h3>
The points are given as:
- Constant = (0,2) to (2, 2)
- Another = (2,2) to (6,10)
- Another = (6,10) to (7,11)
The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
- The next 4 hours are charged for $2 per hour
- All hours after that cost $1
Hence, the pricing scheme of the function is (a)
Read more about piecewise function at:
brainly.com/question/12561612
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Answer:
Let x= Maths marks
and y= English marks
Step-by-step explanation:
x + y = 163
x - y = 31
-(x-y) = -(31)
.: 2y = 132
y = 66
.: x - 66 = 31
x = 31 + 66 = 97
.: maths marks= 97
English marks= 66
The equation for slope-intercept form is y=mx+b. To begin, let's figure out the slope.
The slope equation is
0 - 6 / -6 - 3 = -6/-9 = 2/3
The next step is plugging it in to find b.
6 = 2/3(3) + b
Simplify both sides.
6 = 2 + b
Subtract 2 from both sides.
4 = b
Now that we have all the variables, plug in the slope (m) and b, and that should be your equation.
<h3>y = 2/3x + 4</h3>