3/5=q/10
multiply both sides by 5 or cross multiply i fyou like
30/5=10q/10
6=1q
6=q
9514 1404 393
Answer:
x ∈ {2.07014981016}
Step-by-step explanation:
The equation can be rewritten as ...
√x = 18-8x
x = 324 -288x +64x²
64x² -289x +324 = 0
x = (289 ±√577)/128 ≈ {2.07015, 2.44548}
Since √x must be positive, we know that ...
18 -8x ≥ 0
x ≤ 18/8 = 2.25
The larger of the above solutions is extraneous, so the solution set is ...
x ∈ {(289 -√577)/128} ≈ {2.07015}
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
=====================================================
Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
9514 1404 393
Answer:
7 pizzas
Step-by-step explanation:
For a difference in price of $58 -25 = $33, a customer gets a difference in number of 5 -2 = 3 pizzas. Then a pizza costs $33/3 = $11.
The cost of 2 pizzas is $22, so the delivery charge is $25 -22 = $3.
For $80, after subtracting the $3 delivery charge, $77 goes to the cost of pizzas. For that amount, $77/$11 = 7 pizzas will be delivered.
Answer:
£16.50
Step-by-step explanation:





