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vekshin1
2 years ago
10

Which shows one way to determine the factors of x^3 - 9x^2 + 5x - 45 by grouping ?

Mathematics
1 answer:
adoni [48]2 years ago
7 0
You can group first two conjunctions and second two:
x^3 - 9x^2 + 5x - 45=(x^3-9x^2)+(5x-45).
In first brackets you have common x^2 and in second brackets common is 5:
(x^3-9x^2)+(5x-45)=x^2(x-9)+5(x-9)=(x-9)(x^2+5).
You might be interested in
What is -5/8 + -8/9=
mariarad [96]

Answer:

-1.513888889 = -1.51

Step-by-step explanation:

-5/8 = -0.625

-8/9 = -0.8888888888

-0.625 + -0.8888888888 = -1.513888889

If you round this to the nearest tenth you get

<u>-1.51</u>

6 0
3 years ago
A parabola is given by the equation y = x2 + 4x + 4.
notsponge [240]

Answer:

the vertex of the parabola is:(-2,0)

the focus of the parabola is:(-2,\frac{1}{4})

the directrix of the parabola is:y=\frac{-1}{4}

Step-by-step explanation:

we know that for any general equation of the parabola of the type y=ax^{2} +b x+c the vertex of the parabola is given by (h,k)

where h=\frac{-b}{2 a} and k=\frac{4 a c-b^{2} }{4a}

therefore by the given data we have h=-2 and k=0

hence vertex=(-2,0)

the general equation of the parabola of the type 4 a (y-h)=(x-k)^2 ; the parabola symmetric around the y-axis has the focus from the centre i.e. the vertex (h,k) at a distance a as (h,k+a) and the directrix is given by y=k-a

so focus is (-2,\frac{1}{4} )

now the directrix of the parabola is y=\frac{-1}{4}.




3 0
3 years ago
559 tickets were sold 59 more student tickets were sold than adult tickets how many adult tickets were sold
marusya05 [52]
Let s = number of student tickets and a = number of adult tichets;
We have the equation: s + a = 559 and s = 59 + a;
Then, we solve the equation: 59 + a + a = 559;
59 + 2a = 559;
2a = 500;
a = 500/2;
a = 250;
s = 59 + 250;
s = 309;
7 0
3 years ago
Which type of wetland includes a mixture of salt water and fresh water?
NeX [460]

Answer:

coastal wetlands

Step-by-step explanation:

Have a great day <3

6 0
1 year ago
Look at the attached questions please :)
elixir [45]

9 + (-5) = 4

-8 - 4 = -12

8 - (-4) = 12

-9 + 5 = -4

7 0
3 years ago
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