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3 years ago

Select the table that represents a linear function plz help

Mathematics

2 answers:

NeTakaya3 years ago

6 0

Answer:

Step-by-step explanation:

MaRussiya [10]3 years ago

4 0

Answer: B.

Step-by-step explanation: It's the only table that shows a consistent slope. The equation would be y=6x+6.

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Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?

quester [9]

24 bottles @ $3 = 8 bottles per dollar
12.5 cents per bottle

36 bottles @ $4 = 9 bottles per dollar
11.1 cents per bottle

6 0

4 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

Anita uses 1 sheet of paper to make a calendar showing each month of the year. Draw Anita calendar. Show how she can divide her

hram777 [196]

There are multiple ways in which Anita can divide the sheet of paper for her calendar. First she can have it halved first then, divided by 6 or she can have it divided by 4 and divided each quarter by 3. Either way, each month would take up 1/12 of the total area of the paper.

6 0

4 years ago

Read 2 more answers

5) BRAINLIEST + 15 POINTS :)

MAXImum [283]

Answer:

The answer is D.

Step-by-step explanation:

As the question say x represents number of minutes and y represents total amoumt so $5 and $10 is a fixed amount that are needed to pay for each month. So the expression for each month that is needed to pay is :

y = 0.99x + 5

y = 0.79x + 10

4 0

3 years ago

Determine the period

aleksandrvk [35]

Answer:

16 units

Step-by-step explanation:

period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.

in this graph its the peaks are 1 and 17, hence the period is 16

6 0

3 years ago