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Salsk061 [2.6K]
3 years ago
8

X- 14x + 40

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0

Answer: b. (x−4)(x−10)

Step-by-step explanation:

Let's factor x^2−14x+40

x^2−14x+40

The middle number is -14 and the last number is 40.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -14

Multiply together to get 40

Can you think of the two numbers?

Try -4 and -10:

-4+-10 = -14

-4*-10 = 40

Fill in the blanks in

(x+_)(x+_)

with -4 and -10 to get...

(x-4)(x-10)

Answer:

(x−4)(x−10)

Vinil7 [7]3 years ago
5 0
The answer is : B. (X-10)(x-4)
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There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate

Look at equation 1, -2x+y=10 this can quite easily be manipulated to show y=10+2x.

Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one 4x-y=-14 \Rightarrow 4x-(10+2x)=-14 which can then be solved for x since there is only one variable 4x-10-2x=-14 \Rightarrow 2x=-4 \Rightarrow x=-2 and then with our x solution we can work out our y solution by using the equation we manipulated y=10+2x = 10+(2 \times -2) = 10-4=6.

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Can someone explain what geometric sequences are?
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Explanation:

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A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

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<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

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where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

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You can see that these formulas are exponential in nature.

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<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

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