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levacccp [35]
2 years ago
6

Is 9999 in the sequence n²+2n?​

Mathematics
1 answer:
Tamiku [17]2 years ago
8 0

Answer:

No

Step-by-step explanation:

To find out, all we need to do is plug in 9999 into the sequence.

9999 = n^2 + 2n

By completing the square, we get (n+1)^2 = 1001. 1001 is not a perfect square, which means that 9999 is not in the sequence.

hope this helped! :)

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Which graph shows a system of equations with no solutions? On a coordinate plane, the graphs of 2 circles are shown. Both circle
daser333 [38]

Answer:

1st Graph: 2 circles are shown

Step-by-step explanation:

In order to have a solution set, the 2 graphs need to intersect each other. All the graphs but the 2 circles intersect and have a solution. Therefore, our answer is the 1st Graph.

8 0
3 years ago
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Select the correct answer.
vagabundo [1.1K]

Answer

D.  `(y+4) = (5)/(3)(x+ 1)`


Step by step explanation

The given points are (-1, -4) and (2, 1)

Slope = (y2 - y1)/(x2 - x1)

= (1 - (-4)) / (2 - (-1))

= (1 + 4) / (2 +1)

m = 5/3

When two points are given, the equation of the line is

(y - y1) = m (x - x1)

y -(-4) = 5/3 (x - (-1))

y + 4 = 5/3 (x + 1)

The answer is (y+4) = (5)/(3)(x+ 1)

Thank you.

5 0
3 years ago
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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

6 0
3 years ago
What is an equation of the line that passes through the points (0, 3)<br> and (5, 3)?
Natalka [10]

Answer:

y=3

Step-by-step explanation:

5 0
3 years ago
An 8-oz bottle of ketchup costs $1.39.
inna [77]
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3 years ago
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