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astraxan [27]
3 years ago
15

Please help me out if you can!

Mathematics
2 answers:
Anettt [7]3 years ago
8 0
The answer is X=21 plus in 2(21)-15=27
3(21)=63
63+27+90=180
Mkey [24]3 years ago
7 0

Ok so we know that consecutive angles are supplementary and the diagonals bisect the angels so

2x-15+3x=90

5x=105

X=21

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Which of the values shown are potential roots of f(x) = 3x3 â€"" 13x2 â€"" 3x 45? Select all that apply.
Verdich [7]

The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

And the accurate root is 3 it can be determined by using rules of the rational root equation.

<h2>Given that,</h2>

Function; \rm f(x) = 3x^3 - 13x^2 -3x + 45

<h3>We have to determine,</h3>

Which of the values shown are potential roots of the given equation?

<h3>According to the question,</h3>

Potential roots of the polynomial are all possible roots of f(x).

\rm f(x) = 3x^3 - 13x^2 -3x + 45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

\rm p=\dfrac{All\  the \ positive}{Negative\  factors \ of\  45}

\rm q=\dfrac{All\  the \ positive}{Negative\  factors \ of\  3}

The factor of the term 45 are,

\pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45

And The factor of 3 are,

\pm1, \ \pm3

All the possible roots are,

\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}

Now check for all the rational roots which are possible for the given function,

\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, \pm1, \ \pm3, \ \pm5, \ \pm9,\  \pm15, \ \pm45,\  \pm \dfrac{1}{3},\  \pm \dfrac{5}{3}.

For more details about Potential roots refer to the link given below.

brainly.com/question/25873992

8 0
2 years ago
Show proof for the question below Please help it would mean everything to me 50 points and brain thing
Naily [24]

Answer:

JK and LM are equal because it tells us they are equal.

JL and LN are equal because L is the midpoint of JN.

Since they are both equal, sides LK and NM must be equal.

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
A number plus 17 is 25 algebraic expression
netineya [11]

Answer:

x + 17 = 25

Step-by-step explanation:

im pretty sure you can substitute x with any other letter but ldk

4 0
3 years ago
Read 2 more answers
Please help I need the answer with the explanation now<br>Thank you:)​
gogolik [260]

Answer:

1) x+2x+x+3 = 23

4x+3=23

4x=20

x=5

2) a_ radius × radius × pi = the area

4×4×3= 48

b_ diameter × pi= the circumfrence

8×3 = 24

3) a) 34_10=24

24÷3=8

b) _24_(_48)= 24

4) a) 2x=9_5

2x=4 => x=2

b)X/3 =12

x= 36

5) x. _2.

y. 3_(_2)=5

x. 0

y. 3_0=3

x. 3

y. 3_3=0

i put them here too

5 0
3 years ago
U
neonofarm [45]

Answer:

A, B, C

Step-by-step explanation:

x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C

Answer: A, B, C

3 0
4 years ago
Read 2 more answers
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