Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y
- Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
- Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
- All the other options are in 1 variable or don't have a variable at all.
Answer:
a) The minimum y-value of f(x) is -3
d) The minimum y-value of g(x) is -3
Step-by-step explanation:
Given in the question that,
f(x) = 3
-3
g(x) = 7x² - 3
<h3>A)</h3>
At large negative exponents, the value approaches to zero
y = 
y = 
y = 
<h3>B)</h3>
Minimum y-value of g(x) will be when x = 0
y = 7x² - 3
y = 7(0) - 3
y = -3
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Answer:
120x138 in or 11.5x10 feet
Step-by-step explanation:
Step 1:
convert the feet to inches
10(feet)*12(inches)=120 inches
Step 2:
120(width)+18(length)=138 inches
Step 3:
width: 120 in OR 10 feet
length: 138 inches OR 11.5 feet (when divided by 12)
Hope this helps!
An equation whose variables are polar coordinates is called a polar equation. These equation are characterized by an r as a function an angle. Polar equations can be written in rectangular coordinates by certain relationships. An example of a polar equation would be r = 2sin∅.
