Answer:
f(x) = -3x + 12
Step-by-step explanation:
The chart could be represented like this:
x y
0 12
1 9
2 6
3 3
Suppose that f(x) = y
And substitute x values.
y = -3x + 12
"x = 0"
y = -3(0) + 12
y = 0 + 12
y = 12
"x = 3"
y = -3(3) + 12
y = -9 + 12
y = 3
From the results, it corresponds to the function.
Step-by-step explanation:
In this case we have:
Δx = 3/n
b − a = 3
a = 1
b = 4
So the integral is:
∫₁⁴ √x dx
To evaluate the integral, we write the radical as an exponent.
∫₁⁴ x^½ dx
= ⅔ x^³/₂ + C |₁⁴
= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)
= ⅔ (8) + C − ⅔ − C
= 14/3
If ∫₁⁴ f(x) dx = e⁴ − e, then:
∫₁⁴ (2f(x) − 1) dx
= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx
= 2 (e⁴ − e) − (x + C) |₁⁴
= 2e⁴ − 2e − 3
∫ sec²(x/k) dx
k ∫ 1/k sec²(x/k) dx
k tan(x/k) + C
Evaluating between x=0 and x=π/2:
k tan(π/(2k)) + C − (k tan(0) + C)
k tan(π/(2k))
Setting this equal to k:
k tan(π/(2k)) = k
tan(π/(2k)) = 1
π/(2k) = π/4
1/(2k) = 1/4
2k = 4
k = 2
B) the additive inverse of -3 is +3, so 17-(-3) = 20 is your answer.
Remember, two negatives = one positive, and so:
- (-3) = 3
17 + 3 = 20
Therefore, B is your answer
hope this helps
In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.
In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.
A: Deena subtracted 25, instead of adding it.
B: 9x - 25 = 88.
C: no idea
