Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 
of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 
Its price tripled in 2008.
Price of gold in 2008 
Then doubled in 2011.
Price of gold in 2011 
In 2016, its price dropped to of the price in 2011.
Price of gold in 2016 
Therefore, the required expression for the price of gold per ounce is (2x+1200).
Answer:
8 cm^2
Step-by-step explanation:
If the triangle is isosceles the sides are the same
Let the sides be x
We know that we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2+x^2 = (4 sqrt(2))^2
2x^2 =16(2)
2x^2 = 32
Divide by 2
2x^2/ 32/2
x^2 = 16
Taking the square root of each side
sqrt(x^2) = sqrt(16)
x = 4
The area of the triangle is
A =1/2 bh
A = 1/2 (4) (4)
A = 1/2(16)
A = 8
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
And we want to find:
1)
Recall that:
is the same as:
Thus, we can substitute g(x):
And substitute that into f(x):
Distribute:
Subtract and simplify:
Thus:
2)
Similarly:
Substitute f(x):
Substitute:
Distribute:
Simplify:
Therefore:
This is the formula of finding the hypotenuse: a² + b² = c².
So the legs would be a and b.
4² + 4² = c²
c² = 16 + 16
c² = 32
c = √32 (Option C)
Answer:
The answer is B
Step-by-step explanation:
2x+2y =10 and y= -x +5
These are not in the same form so thats the first step
2x+2y=10
we minus 2x from both side which turns into
2y=-2x+10 (the variable always comes first)
Secon step is to divide 2 from the y to everything so 2y divided by 2 = y
-2 divided by 2 is -x and 2 divided by 10 is 5 and now you have the same equations which leads to infinite
y=-x+5
