Answer:
see explanation
Step-by-step explanation:
The value of the discriminant informs about the nature of the roots of a quadratic function.
The discriminant Δ = b² - 4ac
• If b² - 4ac > 0, then roots are real and distinct
• If b² - 4ac = 0, then roots are real and equal
• If b² - 4ac < 0, then the roots are not real
Hence for b² - 4ac = - 8, then roots are not real
Let x = the first number
y = the second number
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First: set up the equations.
Four times a first number: 4x
Decreased by a second number: - y
Is 4: = 4
4x - y = 4.
The first number increased by: x +
three times the second number: 3y
is -25: = -25
x + 3y = -25.
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You can make your system of equations now.
4x - y = 4
x + 3y = -25
I would use substitution to solve these.
To do substitution, isolate a variable first, in one of the equations. I would probably isolate x in the second equation.
x + 3y = -25
x = -25 - 3y
Now, you can substitute -25 - 3y into 4x - y = 4, as x.
4x - y = 4
4(-25 - 3y) - y = 4
Now just solve for y.
-100 - 12y - y = 4
-13y = 104
y = -8
Now, you can put -8 as y into one of the original equations, I'll just use 4x - y = 4.
4x - y = 4
4x - (-8) = 4
4x + 8 = 4
4x = -4
x = -1
So the first number is -1, and the second -2.
Answer:
You can travel 630 miles.
Step-by-step explanation:
317.5 - 160 = 157.5
157.5 / .25 = 630
Answer:
3/4 of the fruits were oranges.
Step-by-step explanation:
