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Below an equation is modeled . What value of x makes this equation true?

Strike441 [17]

5x + 6 = 1
Subtract 6 from both sides.
5x = -5
Divide from both sides.
x = -1 (ANSWER)

hope this helps!!

5 0

3 years ago

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

Can somebody answer and explain? ( brainliest )

svlad2 [7]

A: 6/8, 9/12, 12/16
b: 6/14, 9/21, 12/28
c: 6/9, 2/3, 4/6
d: 1/4, 2/8, 2/12

In order to find equivalent fractions for a fraction is multiply or divide the numerator and denominator by the same number.

For example, 3/4=6/8 because 3x2=6 and 4x2=8, 6/8.

Hope this helps!

8 0

1 year ago

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Hi people, please if someone can give me a hint with this, l got it but Maths watch doesnt recognise it as 100% right so what is

krek1111 [17]

Answer:

spelling of pronoun(she)

Step-by-step explanation:

at fifth sentence there is little mistake of pronoun i.e sue there must be she may be by this little mistake that is incorrect.

7 0

3 years ago

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Which ordered pair is a solution to the equation 3x-3y=21

katovenus [111]

The answer would be (5, -2). This is because when you plug in the respective values in for x and y into the equation 3x - 3y = 21, you get 21, which is the desired answer.
3x - 3y = 21
3(5) - 3(-2) = 21
15 + 6 = 21
21 = 21
Hope this helped!

3 0

2 years ago

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