We are given the equations 3x+5y=-3 and x-5y=-5.
Both equations have a 5y term which allows us to easily solve the system by elimination. To do so we will add the equations together like a simple addition problem by adding the x terms together, the y terms together, and the integer answers together.
3x + 5y = -3
+x - 5y = -5
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4x + 0y = -8
The y terms cancel out since one is positive and one is negative. Now we can solve for x.
4x = -8

x = -2
Now plug -2 in for x in one of the original equations to find y.
(-2) - 5y = -5
-5y = -3
y = 3/5
Our answer as an ordered pair is (2, 3/5)
Answer:
$85.60
Step-by-step explanation:
In this question, we need to find the price of the calculator after tax.
We know the cost of the calculator is $80 and the sales tax is 7%
To find your answer, we would multiply 80 by 1.07:
80 · 1.07 = 85.60
The total cost of the calculator is $85.60
Answer:
A rational exponent is an exponent that is a fraction. If the fraction has an even denominator, the root will be of an even number (like the square root, the 4th root, etc.). Think about it when you square something: -2 • -2 = 4, 2 • 2 = 4. No matter the sign, any number multiplied by itself an even number of times will make a positive number. So, you can't take the square root of a negative number because it is impossible to get a negative number when squaring! This applies to ALL even roots/exponents. So, (-1)^½ does not exist! Look: (-1)^½ becomes √(-1) which is an imaginary number!
Step-by-step explanation:
Answer:
if it rains 7 out of 10 days the chance of rain for one day is 70%
Step-by-step explanation:
a) The equation of axis is the middle y-coordinate, which is y = -1.5.
b) The period is the amount of time it takes for the graph to repeat, which is 6.
c) The amplitude is the vertical distance from an extreme point to the midpoint, which is 3.
d) This is a cosine graph since when x=0, y is not equal to 0.