Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
Answer:
P = -0.004Q + 149
Step-by-step explanation:
The general form of the linear equation is:
The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)
Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:
The linear equation is:
P = -0.004Q + 149
Answer:
38.2%
Step-by-step explanation:
1/7 ≈ 14.29%
1/10 = 10.00%
3/8 = 37.50%
The total that Johnny has allocated for food, gas, and rent is ...
14.29% + 10.00% + 37.50% = 61.79%
So, the remaining amount is ...
100% -61.79% = 38.21%
About 38.2% of Johnny's income remains.
