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myrzilka [38]
3 years ago
11

Summation notation help!!!!

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

3 is always on the numerator. It is not effected by a power. The answer has to be something that leaves the numerator alone. That means that B is not correct.

The answer is going to be something that makes the denominator 1 when n = 1. That's going to be the answer to the question, because the first term in the sequence is just 3. The denominator must be 1. (not zero).

D is not the answer, because 3/5^1 = 3/5, so D is wrong.

A is not going to get us anywhere either. 3/5^(1 + 1) = 3/5^2 = 3/25 which is not the first term.

The only choice we have left is C. It must be the answer. 3/5^(1 - 1) = 3/5^0 = 3/1 = 3. There's your answer. Note anything raised to the zero power = 1.

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H(x)= (x^2 -36)/x +6 explain why the following function is not continuous at x=-6
sergeinik [125]

You can solve this problem through factoring.

First, you have the equation,

h(x) = \frac{x^2-36}{x-6}

Then, you can factor the numerator.

h(x) = \frac{(x+6)(x-6)}{x-6}

You can cancel out the x-6 in both the numerator and the denominator because they would equal to just 1.

You are left with h(x) = x+6

The function is removable noncontinuous at x=6 because if you plug in 6 in x-6, your denominator would be undefined.

8 0
3 years ago
TRUE OR FALSE: <br> An isosceles trapezoid is a trapezoid with congruent legs.
dem82 [27]

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

4 0
3 years ago
Read 2 more answers
If I could get some help it would be very much appreciated
raketka [301]

Answer:

Step-by-step explanation:

A circle is 360 degrees. What we are asked in words is, "How many degrees is 40% of 360?" Let x be "how many degrees"; the word "is" means =; 40% as a decimal is .4; the word of in this context means to multiply; and 360 is just 360. Putting all that together into an equation we can solve for x:

x = .4(360) so

x = 144

Adventure movies covers 144 degrees of that circle.

5 0
3 years ago
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Espen predicted that he would sell 32 baseball caps but he actually sold 29 baseball caps which expression would find the percen
Gre4nikov [31]

Answer:

B

Step-by-step explanation:

This is the correct answer because the difference between 32 and 29 is 3 and the intial price is 32, Hence 3/32 (100)

6 0
3 years ago
The vertices of a hyperbola are located at (−4, 1) and (4, 1). The foci of the same hyperbola are located at (−5, 1) and (5, 1).
topjm [15]

Answer:

x^2\ 16 - y^2/9 = 1

step-by-step explanation:

soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1

a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.

it helps to graph this so you can see it better

to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2

then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2

you get 9 for b^2 because 25-16=9 and so you put that in the equation

3 0
3 years ago
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