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Katarina [22]
4 years ago
11

Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, ...

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
6 0
Try a_n=7(-1)^{n+1}, where n\ge1.
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Find the TWO integers whos product is -12 and whose sum is 1<br>​
ahrayia [7]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

8 0
3 years ago
Read 2 more answers
What is f(-4) if f(x)=|7x-3|
MrRissso [65]
Substitute the given into the function

f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31| 
the absolute value of |-31| is 31
so, 
f(-4) = 31

Hope this helps :)
8 0
3 years ago
Read 2 more answers
A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone and it does
Colt1911 [192]
There is two possible conic section that can be formed when the plane intersects the vertical axis, a circle, and an ellipse. Cutting one nappe of double napped cone perpendicular to the vertical axis means the cut is straight across the cone making a right angle. The conic section formed would be a circle. 
7 0
3 years ago
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Simplify the expression c^-6 * d^4/ c^-16 * d^14​
Naily [24]

Answer:

\dfrac{c^{10}}{d^{10}}

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =

= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}

= c^{-6 - (-16)} \times d^{4 - 14}

= c^{-6 + 16} \times d^{-10}

= c^{10} \times d^{-10}

= \dfrac{c^{10}}{d^{10}}

7 0
3 years ago
∠A and \angle B∠B are complementary angles. If m\angle A=(2x+30)^{\circ}∠A=(2x+30)
egoroff_w [7]

Answer:

x =21

Step-by-step explanation:

So we know that:

And that the two angles are vertical angles.

Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.

6 0
3 years ago
Read 2 more answers
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