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Nady [450]
3 years ago
12

Factor completely 2x3 + x2 - 18x – 9.

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0
2x^3 + x^2 - 18x - 9=x^2(2x+1)-9(2x+1)=\\ \\=(2x+1)(x^2-9)=(2x+1)(x-3)(x+3)


lys-0071 [83]3 years ago
6 0
2x^3+x^2-18x-9=x^2(2x+1)-9(2x+1)\\\\=(2x+1)(x^2-9)=(2x+1)(x^2-3^2)\\\\=(2x+1)(x-3)(x+3)
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The table below shows the relationship between the buses in the school parking lot and and the number of students on them. What
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Answer:

Please add the diagram

Step-by-step explanation:

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2 years ago
Which point is located at -5/8
Advocard [28]

Answer:

Point C

Step-by-step explanation:

it is 5 units negative wise, on a 8 point scale.

3 0
2 years ago
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Evaluate and simplify <br><br> F(x)=3-6x^2 for f(x+3)
Olegator [25]

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
4 0
3 years ago
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Sholpan [36]

Answer:

<h2>(g \: \circ \: f)(0) = 17</h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3>(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\  = 4(4 {x}^{2}  + 16x + 16) + 1 \\  =  {16x}^{2}  + 64x + 16 + 1</h3>

We have

<h3>(g \: \circ \: f)(x) =  {16x}^{2}  + 64x + 17 \\</h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3>(g \: \circ \: f)(0) = 16( {0})^{2}  + 64(0) + 17 \\</h3>

We have the final answer as

<h3>(g \: \circ \: f)(0) = 17</h3>

Hope this helps you

8 0
3 years ago
Solve for x if EF = 2x + 7 and FG = 7x –9<br><br> help please I'll give brainliest
s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)

AB = BC.... (given)

\implies \frac{AB}{BC} = 1..... (2)

From equations (1) & (2)

1 =\frac{EF}{FG}

{FG}={EF}

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0
2 years ago
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