Answer:
-2x² + 10x - 12
Step-by-step explanation:
Given the expression 2(5x+3)−2(x^2 −3)
Expand
2(5x+3)−2(x^2 −3)
= 2(5x)+2(3) -2(x²)-2(-3)
= 10x + 6 - 2x²+6
= 10x -2x²+12
Express in standard form
= -2x² + 10x - 12
Answer:
10.75
Step-by-step explanation:
The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.
Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
so, a childs ticket is 4.75
now to find the cost of an adult ticket you add 6,
4.75 + 6
= 10.75
Answer:
The job will take <u><em>75 minutes</em></u> if the Hewlett Packard copier is broken
Step-by-step explanation:
In this question, we are tasked with calculating the amount of time it will the Xerox copier to finish making the copies whilst working alone
First, let the number of copies to make be x
Thus, the rate at which both copiers deliver when working together is x/30 copies per minute
If the Hewlett Packard is working alone, its rate is x/50 copies per minute
Let the time taken for the Xerox copier to complete its work be y minutes. Its working rate is thus x/y copies per minute
When we add the individual working rates, we have the joint working rate.
Hence, mathematically;
x/50 + x/y = x/30
Multiply through by 1/x
1/50 + 1/y = 1/30
1/y = 1/30 - 1/50
1/y = (50-30)/1500
1/y = 20/1500
20y = 1500
y = 1500/20
y = 75 minutes
Thus, the job will take 75 minutes if the Hewlett Packard copier is broken
, then in the first equation you have
