Answer:
y = -3x + 12
Step-by-step explanation:
<u><em>Very similar to the other question i answered, by here's a step by step anyway in case you find it helpful : )</em></u>
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (1, 9) and Gradient (m): -3
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (9) = -3(x-1)
This becomes:
y -9 = -3x +3
Keep solving by moving the 10 over to the other side:
y = -3x + 3 +9
y = -3x + 12
An easy way to double check:
1) the coefficient of x is the slope. We got -3x, and the slope is -3, so that's correct.
2) Substitute x=1 into the equation, and we get 9, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
Answer:
We have to determine the graph of the given inequality as:
on solving this equation we get:
Since we know that:
Now we know that when 
the value of:
Also for the value other than -1 the function being a quadratic function will always give a non-zero positive value.
Hence, range of the function in intervals could be written as:
(-∞,-1)∪(-1,∞).
Hence, the graph of the function will be the whole of the number line with a open circle on -1.
Complete Question
Mr Brown has 2 children are going to london by train
1 adult costs £24 and child ticket costs 12
The Family Railcard offers:
1/3 off adults tickets and 60% off child ticket
What is the total cost of tickets when Mr Brown uses the Family Railcard
Answer:
£25.60
Step-by-step explanation:
From the question:
1 adult costs £24
The Family Railcard offers:
1/3 off adults tickets.
Hence:
1/3 × £24 = £8
The cost for Mr Brown = £24 - £8
= £16
Child ticket costs £12
The Family Railcard offers:
60% off child ticket
Hence = 60% × £12
= 60/100 × £12
= £7.2
The cost for 1 child = £12 - £7.2
= £4.8
The total cost of tickets when Mr Brown uses the Family Railcard is:
Cost for Mr Brown + Cost for his 2 Children
£16 + 2 × £4.8
£16 + £9.6
= £25.60
Answer:
x = 70
Step-by-step explanation:
180 - 112 = 68
2x + 2x + 12 + 68 = 360
4x + 80 = 360
4x = 360 - 80
4x = 280
x = 280/4
x = 70
2x = 2*70 = 140
2x + 12 = 2*70 + 12 = 152
180 - 140 = 40
112 + 40 = 152
180 - 152 = 28
112 + 28 = 140
Answer:
v= 2
Step-by-step explanation:
