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4 years ago

Factorising quadratics X squared + 5x -6 X squared - 2x15 X squared -7x +12

Mathematics

1 answer:

34kurt4 years ago

5 0

Answer:

(x -1)(x +6)
(x -5)(x +3)
(x -4)(x -3)

Step-by-step explanation:

In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.

1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.

x^2 +5x -6 = (x -1)(x +6)

2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest

x^2 -2x -15 = (x -5)(x +3)

3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest

x^2 -7x +12 = (x -3)(x -4)

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The equation y=250,000(1.1)x closely models the value of his home, y, when x is the number of years since 2002.

Sonbull [250]

Answer:

The value in 2006 is 366,025

Step-by-step explanation:

Here, we want to get the value of y in 2006

what we have to do here is to find and substitute the missing value of x

The missing value x is the difference between the number of years in 2002 and 2006

we have this as 2006-2002 = 4

so we have to substitute 4 here for x

Thus, we have this as;

y = 250,000(1.1)^4

y = 366,025

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3 years ago

32. What is the perimeter of a regular octagon with a side length of 7 units?

katovenus [111]

Answer:

Step-by-step explanation:

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P=8a=8·7=56

4 0

2 years ago

Read 2 more answers

Solve <img src="https://tex.z-dn.net/?f=2%20cosx%3D4cosx%20sin%5E2x" id="TexFormula1" title="2 cosx=4cosx sin^2x" alt="2 cosx=4c

Ilia_Sergeevich [38]

There are four solutions for the <em>trigonometric</em> equation 2 · cos x = 4 · cos x · sin² x are x₁ = π/4 ± 2π · i, x₂ = 3π/4 ± 2π · i, x₃ = 5π/4 ± 2π · i and x₄ = 7π/4 ± 2π · i, $i \in \mathbb{N}_{O}$ .

<h3>How to solve a trigonometric equation</h3>

In this problem we must simplify the <em>trigonometric</em> equation by both <em>algebraic</em> and <em>trigonometric</em> means and clear the variable x:

2 · cos x = 4 · cos x · sin² x

2 · sin² x = 1

sin² x = 1/2

sin x = ± √2 /2

There are several solutions:

x₁ = π/4 ± 2π · i, $i \in \mathbb{N}_{O}$

x₂ = 3π/4 ± 2π · i, $i \in \mathbb{N}_{O}$

x₃ = 5π/4 ± 2π · i, $i \in \mathbb{N}_{O}$

x₄ = 7π/4 ± 2π · i, $i \in \mathbb{N}_{O}$

To learn more on trigonometric equations: brainly.com/question/27821667

#SPJ1

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2 years ago

For every 2 hours, approximately $1,218 worth of product is sold to consumers. How much

TEA [102]

876,960$
Hope this helps u

7 0

3 years ago

Read 2 more answers

Is 11/16 <, > or = 0.688

Sladkaya [172]

11/16= 0.6875

So, the answer will be 11/16 < 0.688

Hope this helps!

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3 years ago