The equation that I typed in is right.
1 answer:
Answer:
The answer to your question is
Step-by-step explanation:
Data
Point (2, 3)
line y - 4 = -2(x + 3)
Process
1.- Solve for y the line given
y - 4 = -2(x + 3)
y - 4 = -2x - 6
y = -2x - 6 + 4
y = -2x - 2
2.- Get the slope of the new line
slope = 1/2
3.- Get the equation of the new line
y - y1 = m(x - x1)
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x - 1 + 3
y = 1/2x + 2
4.- Get the coordinates of the new line
When x = 0
y = 1/2(0) + 2
y = 2 P (0, 2)
When y = 0
0 = 1/2x + 2
1/2x = -2
x = -4 Q (-4, 0)
5.- Get the coordinates of the previous line
y = -2x - 2
When x = 0
y = -2(0) -2
y = -2 R (0, -2)
When y = 0
0 = -2x - 2
-2x = 2
x = 2/-2
x = -1 S (-1, 0)
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Answer
Find out the what is the sale price of the jeans including tax .
To prove
Let us assume that the sale price of the jeans including tax be x .
As given
Michael is buying a pair of jeans that regularly cost $40.
They are on sale for 20% off.
If the tax rate is 8% .
20% is written in the decimal form
= 0.20
8% is written in the decimal form
= 0.08
Than the equation becomes
x = 40 - 40 × 0.20 + 40 × 0.08
x = 40 - 8 + 3.2
x = 43.2 - 8
x = $35.2
Therefore the sale price of the jeans including tax be $ 35.2 .
Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
