Answer:
104
Step-by-step explanation:
Answer:
1) B- Substitution
2) C- Elimination
3) A- Graphing
Step-by-step explanation:
1)
x+3y=7
5x+11y=3
x = 7 - 3y
Plug this x into the second equation and solve for y first
2)
5x-3y=3 --> (1)
2x+7y=6 --> (2)
Since making any variable the subject would involve fractions, it's better to go for elimination
7(1) + 3(2)
would eliminate y
3)
While comparing cost and adjusting choices, a graph is a better approach because all the possibilities are right in front
Answer:
Ok so your answer should be m
=
0
Step-by-step explanation:
the explanation is to Rewrite the equation as −
10
+7
m
=
−
10
.−
10
+
7
m
=
−
10
Move all terms not containing m
to the right side of the equation.
7
m
=
0
Divide each term by 7
and simplify.
m
=
0
i hope this can help
Well, if you separate 35 into seven parts, you get 5. You'd then take 5 and multiply it by 6. So
35÷7=5
6×5=30
Joshua answered 30 questions correctly.
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
