Answer:
(b) 
Step-by-step explanation:
Given: Cost of car is 
Sales tax is 
The license and title charges are 
To find: The amount that the credit union will finance.
Solution:
We have,
Cost of car
Sales tax is of
Therefore,
sales tax 
The license and title charges 
Now, the amount that the credit union will finance is
cost of car
sales taxthe license and title charges
Hence, the amount that the credit union will finance is .
So, (b) is correct.
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
1. What is the opposite of -2? 2
2. When we add opposites together they will always equal = ? 0
This is also known as what ?
additive inverse
Adding with integers with SAME signs.
-8 + -3 = -11
-12 + -15 = -27
-3 + -9 + -25 = -37
Answer:
y=2/3x+5
Step-by-step explanation:
to find the slope you subtract the y's from each other, and the x's from each other then put the y over the x, bam that's the slope. the y intercept is 5 cause the point is (0,5)
