9514 1404 393
Answer:
£55
Step-by-step explanation:
Multiplying the given ratio units by 11 tells you the answer.
4 : 5 = 44 : 55
Paul got £55.
Answer:
Each pencil costs $0.07 and each eraser costs $0.03
Step-by-step explanation:
System of linear equations
It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.
Let p=the price of each pencil while e is the price each eraser
Julio bought 4 pencils and 3 erasers, spending

David bought 3 pencils and 4 erasers, spending

The system of equations is written in the form

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

Adding both equations:
7e=0.21
e=0.03
Multiplying the first one by -4 and the second by 3

Adding both equations:
-7p=-0.49
p=0.07
Solution: Each pencil costs $0.07 and each eraser costs $0.03
The slope is 9
y1-y2 over x1-x2
or y2-y1 over x2-x1
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
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