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SIZIF [17.4K]
3 years ago
9

Given four functions, place them in order of their y-intercept, from highest to lowest.

Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0
We are given
f(x) = (x + 4)^(x - 2) + 2
g(x) = 8 (20)^x
j(x) is the given data

We are asked to arrange the functions according to increasing y-intercept. Simply substitute 0 to x and solve for the y-intercept. Doing this, the answer is
<span>C.) f(x), g(x),j(x),h(x)
</span>
Aleks04 [339]3 years ago
6 0

Answer:

The answer is D) j(x), g(x), h(x), f(x)

Step-by-step explanation:

The reason I say this is because j(x) and g(x) have the same starting value of 8, then when you look at the question it tells you that h(x) has a starting value of 5, When you look at f(x) it gives you a starting value of 2. Therefore the answer is D. Plus, I just took the test and the answer is D.

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The equation is actually h(t)=-16t^2+1437.  Free fall is always -16t^2 as the position function.  We are looking for how long it takes the object to hit the ground.  In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t.  0=-16t^2+1437.  If we subtract 1437 from both sides and divide by -16, we have t^2=89.8125.  Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5.  The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out.  That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.
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3 years ago
If two halves of two whole 1/2 are added to two whole 1/2 the result is
jekas [21]
1 is the answer hope this helps
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3 years ago
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Enter an equation that can be used to solve this problem, where x represents the number of hours that Roberto had been traveling
nalin [4]
45mph x35 mph = 1 hour
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respond to the following in a minimum of 175 of your own words: how would you explain the differences between the trapezoidal ru
harkovskaia [24]

The differences between the trapezoidal rule and simpson's rule is -

The trapezoidal rule and Simpson's method, the latter a set of formulas of varying complexity, are both Newton-Cotes formulas, that are used to examine and model complex curves.

<h3>What is trapezoidal rule?</h3>

The trapezoidal rule is just an integration rule that divides a curve into small trapezoids to calculate the area under it. A area under the curve is calculated by adding the areas of all the small trapezoids.

Follow the steps below to use the trapezoidal rule to determine the area under given curve, y = f. (x).

  • Step 1: Write down the total number of sub-intervals, "n," as well as the intervals "a" and "b."
  • Step 2: Use the formula to determine the width of the sub-interval, h (or) x = (b - a)/n.
  • Step 3: Use the obtained values to calculate this same approximate area of a given curve, ba f(x)dx Tn = (x/2) [f(x0) + 2 f(x1) + 2 f(x2) +....+ 2 f(n-1) + f(n)], where xi = a + ix
<h3>What is Simpson's method?</h3>

Simpson's rule is used to approximate the area beneath the graph of the function f to determine the value of the a definite integral (such that, of the form  b∫ₐ f(x) dx.

Simpson's 1/3 rule provides a more precise approximation. Here are the steps for using Simpson's rule to approximate the integral ba f(x) dx.

  • Step 1: Figure out the values of 'a' & 'b' from interval [a, b], as well as the value of 'n,' which represents the number of subintervals.
  • Step 2: Determine the width of every subinterval using the formula h = (b - a)/n.
  • Step 3: Using the interval width 'h,' divide this same interval [a, b] [x₀, x₁], [x₁, x₂], [x₂, x₃], ..., [xn-2, xn-1], [xn-1, xn] into 'n' subintervals.
  • Step 4: In Simpson's rule formula, substitute all of these values and simplify. b∫ₐ f(x) dx ≈ (h/3) [f(x0)+4 f(x1)+2 f(x2)+ ... +2 f(xn-2)+4 f(xn-1)+f(xn)].

Thus, sometimes we cannot solve an integral using any integration technique, and other times we don't have a particular function to integrate. Simpson's rule aids in approximating the significance of the definite integral in such cases.

To know more about the Simpson's method and trapezoidal rule, here

brainly.com/question/16996659

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3 0
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denis23 [38]

Answer:

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Step-by-step explanation:

To find the unit price, we have to divide the price, $25, by the number of units, 5.

\frac{25}{5} = 5

So, the unit price is $5 per pound.

Good luck ^^

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