Answer:
y = 7x
Step-by-step explanation:
to find the gradient, change in y ÷ change in x so 56 ÷ 8 to get y = 7x + b
to find b you substitute in x and y so
56 = 7 X 8 + b
56 = 56 + b
0 = b (-56)
so it is y = 7x
Answer and explanation :
Unbounded solutions :
Unbounded solution is the case where we can't find the exact solution. In this case there are infinite number of solutions and it is not possible to find exact solution in which these situations occurs.
When we use graphical method to solve the problem then in unbounded solution there is no boundary so that we can determine the maximum possible region in which solution occurs.
Answer: Segment AD
Reason:
Any diameter goes through the center of a circle, with both endpoints on the circle edge.
Another diameter is segment FC.
Answer:
The answer is
<h3>the last graph</h3>
Step-by-step explanation:
To find the graph which shows (f + g)(x) we must first find (f + g)(x)
That's
f(x) = - x² + 3x + 5
g(x) = x² + 2x
To find (f + g)(x) add g(x) to f(x)
That's
(f + g)(x) = -x² + 3x + 5 + x² + 2x
Group like terms
(f + g)(x) = - x² + x² + 3x + 2x + 5
We have (f + g)(x) as
(f + g)(x) = 5x + 5
Since (f + g)(x) is linear the graph which shows (f + g)(x) is <u>the last graph</u>
Hope this helps you
Given:
The population P of a city is given by,
To find:
The time taken for the population to reach 130,000.
Explanation:
Substituting P = 130,000 in the given function, we get
Therefore, the number of years required for the population to reach 130,000 is 4.89years.
Final answer:
The number of years required is 4.89years.