You can make 4 triangles out of a 3x3 square.
Answer:
b=1/2-9/4c
Step-by-step explanation:
first get B on one side
8b+18c=4
-18c -18c
8b=4-18c
divide both sides by 8
8b=4-18c
/8 /8 /8
b=1/2-9/4c
which is the question? (4/3)^2 is 16/9
Question is Incomplete;
Complete question is given below;
Tracy had a total of $200 to spend while shopping. She has already spent $122 on clothes. She wants to buy some video games that are on sale for $20 each, including tax. Enter the maximum number of video games Tracy can buy with the remaining money.
Answer:
Tracy can buy maximum of 3 video games with the remaining money.
Step-by-step explanation:
Given:
Total money to spend on shopping = $200
Money spend on clothes = $122
Cost of each video game = $20
We need to find the number of Video games she could buy.
Solution:
Let the number of video games be 'x'.
So we can say that;
Money spend on clothes plus Cost of each video game multiplied by number of Video games should be less than or equal to Total money to spend on shopping.
framing in equation form we get;
Now by subtraction property of Inequality we will subtract both side by 122 we get;
Now dividing both side by 20 using division property of inequality we get;
Hence Tracy can buy maximum of 3 video games with the remaining money.
Step-by-step explanation:
(a) ∫₋ₒₒ°° f(x) dx
We can split this into three integrals:
= ∫₋ₒₒ⁻¹ f(x) dx + ∫₋₁¹ f(x) dx + ∫₁°° f(x) dx
Since the function is even (symmetrical about the y-axis), we can further simplify this as:
= ∫₋₁¹ f(x) dx + 2 ∫₁°° f(x) dx
The first integral is finite, so it converges.
For the second integral, we can use comparison test.
g(x) = e^(-½ x) is greater than f(x) = e^(-½ x²) for all x greater than 1.
We can show that g(x) converges:
∫₁°° e^(-½ x) dx = -2 e^(-½ x) |₁°° = -2 e^(-∞) − -2 e^(-½) = 0 + 2e^(-½).
Therefore, the smaller function f(x) also converges.
(b) The width of the intervals is:
Δx = (3 − -3) / 6 = 1
Evaluating the function at the beginning and end of each interval:
f(-3) = e^(-9/2)
f(-2) = e^(-2)
f(-1) = e^(-1/2)
f(0) = 1
f(1) = e^(-1/2)
f(2) = e^(-2)
f(3) = e^(-9/2)
Apply Simpson's rule:
S = Δx/3 [f(-3) + 4f(-2) + 2f(-1) + 4f(0) + 2f(1) + 4f(2) + f(3)]
S ≈ 2.5103