20/01/2020 04:42 PM
If y is a function of x, then the equation would be written as a "y =" equation, not an "x = " equation. This example is one where x is a function of y.
Multiply the first equation by 2
2(7x-2y) = 2 * -20
14x - 4y = -20
Add this to the second equation
14x - 4y = -40
23x = -46
Divide by 23
23x/23 = -46/23
x = -2
Now we solve for y
9(-2) +4y = -6
-18 + 4y = -6
Add 18 to each side
-18+18 +4y = -6+18
4y = 12
Divide by 4
4y/4 = 12/4
Given : The number of granola bars = 6
The number of pieces of dried fruit = 10
If the snack bags should be identical without any food left over, then the greatest number of snack bags Emily can make is the greatest common factor (GCF) of 6 and 10.
Since , factors of 6 = 1, 2, 3, 6
Factors of 10 = 1, 2, 5, 10
Hence, the greatest common factor of 6 and 10 = 2
Thus, the greatest number of snack bags Emily can make = 2.
Equation of ellipse is of form where are the x-intercepts and are the y-intercepts . If then it is a horizontal ellipse and if then it is a vertical ellipse .
For horizontal axis ,
Here, are known as the vertices of ellipse and are the co-vertices of ellipse .
Horizontal axis is known as the major axis and vertical axis is known as the minor axis .
Here, x-intercepts are , take a = 5
y-intercepts are , take b = 3
As , it is a horizontal ellipse .
On putting a = 5 and b = 3 , we get equation as
not sure may be its correct
(Original Price)(Tax Percent) = Amount
Remember to turn the percent into decimal form first!
(26.50)(0.05) = 1.325
Do not round the results until you are done solving the problem!
(Original Price) + (Amount Tax) = $$$
(26.50) + (1.325) = 27.825
Round the results now!
slope formula: (y2-y1)/(x2-x1)
We can just try and find what works! since we can subtract 12 from -2 and get -14, we might try subtracting 12 every time. After we test it out, we see that is is correct!
Either or , depending on whether is larger than .
The two roots (might necessarily be distinct or real) of the quadratic equation
, where , , and are constants and are
The difference between the two will be either:
For this question,