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Dafna1 [17]
2 years ago
12

Find x when k(x) = -6 k(x) = -7x+1

Mathematics
1 answer:
sp2606 [1]2 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

Since both equations are equal to k(x), both equations are also equal to each other.

Begin by setting up the equation like this: -6 = -7x + 1

Simply solve for x by subtracting each side by 1 (-7 = -7x)

Finally, divide both sides by -7 to get 1.

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5 0
3 years ago
Let f(x)=x^2f ( x ) = x 2. Find the Riemann sum for ff on the interval [0,2][ 0 , 2 ], using 4 subintervals of equal width and t
sladkih [1.3K]

Answer:

A_L=1.75

Step-by-step explanation:

We are given:

f(x)=x^2

interval = [a,b] = [0,2]

Since n = 4 ⇒ \Delta x = \frac{b-a}{n} = \frac{2-0}{4}=\frac{1}{2}

Riemann sum is area under the function given. And it is asked to find Riemann sum for the left endpoint.

A_L= \sum\limits^{n}_{i=1}\Delta xf(x_i) = \frac{1}{2}(0^2+(\frac{1}{2})^2+1^2+(\frac{3}{2})^2)=\frac{7}{4}=1.75

Note:

If it will be asked to find right endpoint too,

A_R=\sum\limits^{n}_{i=1}\Delta xf(x_i) =\frac{1}{2}((\frac{1}{2})^2+1^2+(\frac{3}{2})^2+2^2)=\frac{15}{4}=3.75

The average of left and right endpoint Riemann sums will give approximate result of the area under f(x)=x^2 and it can be compared with the result of integral of the same function in the interval given.

So, (A_R+A_L)/2 = (1.75+3.75)/2=2.25

\int^2_0x^2dx=x^3/3|^2_0=8/3=2.67

Result are close but not same, since one is approximate and one is exact; however, by increasing sample rates (subintervals), closer result to the exact value can be found.

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3 years ago
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lesya692 [45]
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3 years ago
The reciprocal of 2/3 is 3/2. If the reciprocal of 4x/5 is 1/20, what is x?
Black_prince [1.1K]

Since 4x/5 is the reciprocal of 1/20, that means that 4x/5 = 20/1, or 20. Using this info, we can form the equation \frac{4x}{5}=20 . From there we can solve for x.

Firstly, multiply both sides by 5: 4x=100

Next, divide both sides by 4 and your answer will be x=25

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3 years ago
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