9514 1404 393
Answer:
- -51
- -30
- -60
- 2 or -2
Step-by-step explanation:
The function puts a minus sign on 3 times the magnitude of the input.
1. y = -|3×17| = -51
2. y = -|3×10| = -30
3. y = -|3×20| = -60
4. -6 = -|3x|
2 = |x| . . . . divide by -3
x = ±2 . . . . two possibilities
Answer:
Part a) 
Part b) 
Part c) Standard Daily Rate plus Mileage plan
Step-by-step explanation:
Part a) What would be the cost of the Standard Daily Rate plus Mileage plan?
Let
y ----> the total cost
x ----> the number of kilometers
we have that
For a Luxury car
For x=400 km
substitute
Part b) What would be the cost of the Unlimited Mileage plan?
we know that
The Unlimited Mileage plan for a Luxury car is $105 per day (see the table)
The trip are three days
so
To find the total cost multiply $105 by 3
Part c) Which is the better plan?
Compare
therefore
For this trip the better plan is the Standard Daily Rate plus Mileage plan
If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of
<em>x</em> + <em>y</em> = 500
litres, and it contains
0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375
litres of alcohol.
Solve the first equation for <em>y</em> :
<em>y</em> = 500 - <em>x</em>
<em />
Substitute this into the second equation and solve for <em>x</em> :
0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375
0.65<em>x</em> + 450 - 0.90<em>x</em> = 375
75 = 0.25<em>x</em>
<em>x</em> = 300
Solve for <em>y</em> :
<em>y</em> = 500 - 300
<em>y</em> = 200
So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.
3/10 that's what the answer is
