5x+3y=58
5x-3y=22
(3y gets cancelled bc 3y-3y=0, then add 5x with 5x, so you're left with)
10x=80, (divide both sides by 10)
x=8
Now we look for y. So choose one formula from the two (let's say 5x + 3y=58)
Substitute x for 8 so it will look like---- 5(8)+3y=58
Multiply 5*8--- so you get -- 40+3y=58
Subtract 40 from both sides and you're left with 3y=18
divide both sides by 3
you get y=6
In conclusion, x=8 and y=6 hence, (8,6)
Answer:
a. (x + 4)² + (y – 7)² = 3²
Step-by-step explanation:
General equation for a circle is:
(x – h)² + (y – k)² = r²
h and k are the center (h, k), and r is the radius.
They want a center of (-4, 7) so h=-4 and k=7
They want a radius of 3 so r=3
plug it into the equation.
(x – h)² + (y – k)² = r²
(x – (-4))² + (y – (7))² = (3)²
(x + 4)² + (y – 7)² = 3²
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Let’s take fred age as x and Natalie’s age as y.
So,
A/Q
X + Y = 43. Let it be eqution 1
and
X + 4Y = 79. Let it be equation 2
Combining equation 1 and 2, we get
( X + Y) + 3Y = 79
43 + 3Y = 79
3Y = 36
Y = 12
Now, evaluating the value of Y in equation 1 we get,
X + 12 = 43
X = 31
Therefore, Fred is 31years old and Natalie is 12 years old.
Where’s the ratios that we can select? can you provide?
