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nikitadnepr [17]
3 years ago
13

Can you help me with this question?

Mathematics
1 answer:
Bond [772]3 years ago
4 0
SAS, side angle side congruency
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If -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes
katrin2010 [14]

Given:

The function is:

y=3x^3-5x^2-11x-3

It is given that -1 is a zero of the given function.

To find:

The other zeroes of the given function.

Solution:

If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.

It is given that -1 is a zero of the given function. So, (x+1) is a factor of the given function.

We have,

y=3x^3-5x^2-11x-3

Split the middle terms in such a way so that we get (x+1) as a factor.

y=3x^3+3x^2-8x^2-8x-3x-3

y=3x^2(x+1)-8x(x+1)-3(x+1)

y=(x+1)(3x^2-8x-3)

Again splitting the middle term, we get

y=(x+1)(3x^2-9x+x-3)

y=(x+1)(3x(x-3)+1(x-3))

y=(x+1)(3x+1)(x-3)

For zeroes, y=0.

(x+1)(3x+1)(x-3)=0

(x+1)=0 and 3x+1=0 and x-3=0

x=-1 and x=-\dfrac{1}{3} and x=3

Therefore, the other two zeroes of the given function are -\dfrac{1}{3} and 3.

3 0
3 years ago
Instructions: Find the angle measures given the figure is a rhombus.
Oksi-84 [34.3K]

Answer:

Angle ABC =70

Step-by-step explanation:

Divide 140 by 2 and apply the rule of alternante interior angles

8 0
3 years ago
Find the value for d<br> 2d - 5 = 17
Ann [662]
2d-5=17

2d=17+5

2d=22
— —
2 2

d=11
4 0
3 years ago
When a fraction of 17 is taken away from 17 what remains exceeds 1/3 of 17 by 6
MrRissso [65]
1/3×17/1=51/1

51+6=57
4 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
liq [111]
If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.

We have 
2.1x+4.1y=2761
x+y=1010

Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version


5 0
3 years ago
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