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3 years ago

How do you reflect across the x-axis?

1 answer:

7 0

The x-axis is the horizontal line. You can reflect across it by having two points that make a line across it an example is (2,3) and (2,-3)

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George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help

kaheart [24]

25(cards per month) x12(months in one year) =300 cards at the end of one whole year

4 0

3 years ago

Read 2 more answers

Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d

Stella [2.4K]

The answer is most likely A.

The integration interval [a, b] is split up into n subintervals of equal length (so each subinterval has width (b - a)/n, same as the coefficient of the sum of y terms) and approximated by the area of n rectangles with base (b - a)/n and height y.

n subintervals require n + 1 points, with

x₀ = a

x₁ = a + (b - a)/n

x₂ = a + 2(b - a)/n

and so on up to the last point x = b. The right endpoints are x₁, x₂, … etc. and the height of each rectangle are the corresponding y 's at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function G(x) continuous* over an interval [a, b] is equal to the slope of the secant line through x = a and x = b, i.e. the value of the difference quotient

(G(b) - G(a) ) / (b - a)

If G(x) happens to be the antiderivative of a function g(x), then this is the same as the average value of g(x) on the same interval,

$g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx$

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [a, b] into n subintervals of equal width (b - a)/n. Over the first subinterval, the area of a trapezoid with "bases" y₀ and y₁ and "height" (b - a)/n is

(y₀ + y₁) (b - a)/n

but y₀ is clearly missing in the sum, and also the next term in the sum would be

(y₁ + y₂) (b - a)/n

the sum of these two areas would reduce to

(b - a)/n = (y₀ + 2 y₁ + y₂)

which would mean all the terms in-between would need to be doubled as well to get

$\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)$

7 0

3 years ago

Y=-2/3x+2, y=3/2x+8 these lines are A) parallel B)perpendicular C)neither

OLga [1]

Answer:

B) perpendicular

Step-by-step explanation:

i graphed them

7 0

3 years ago

Please help!!! I just need a simple explanation I will mark brainliest!

aniked [119]

Answer:

I have made it in above figure so each angle will 150 degree

6 0

3 years ago

Question 1 (1 point) Point M is the midpoint of AB. The coordinates of point A are (-6, 3) and the coordinates of M are (-1, 1).

konstantin123 [22]

Answer:

The answer to your question is: (4, -1)

Step-by-step explanation:

M = midpoint (-1, 1)

A = (-6, 3)

B = (x, y)

$xm = \frac{x1 + x }{2}$

x = 2xm - x1

x = 2(-1) + 6

x = -2 + 6

x = 4

$ym = \frac{y1 + y }{2}$

y = 2ym - y1

y = 2(1) - 3

y = 2 - 3

y = -1

4 0

3 years ago