If b>a, b-a=5 so b=5+a
ab=126, using b from above
a(5+a)=126
5a+a^2=126
a^2+5a-126=0
(a+14)(a-9)=0, since a<0 the numbers are
-14 and -9
First task:
To determine this we need to make difference between system that doesn't have solution and system that has infinite number of solution. If when solving equations we get 0 = 0 that means system has infinite number of equations.
If we get 0 = some number that means that system doesn't have solution.
Multiplying first equation of second system by 2 and adding it to second equation we get 0=0 which means that this system has infinite number of solutions.
Answer is second system
Second task:
For this we need to set a system of equations and solve it. System looks like this:
x + y = 224
x*12 + y*8=2520
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x represents older than 18 and "y" 18 and younger than that.
first equation we multiply with -12 and sum it with second.
-4y = -168
y=168/4 = 42
Answer is 42.
Answer:
4
Step-by-step explanation:
Answer:
Approach 1: Mathematical Approach
Domain is the possible inputs or x values of a function
Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.
So the domain is (-♾, ♾).
The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.
This means the range is bounded to -4 so our range is
(-4,♾)
Approach 2: Graphical Approach
Above is the graph
It can take any x values so the domain is (-♾, ♾).
The range is (-4,♾).
