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aleksandrvk [35]
3 years ago
15

Find the value for m for which ( x + 2 ) is a factor of p ( x ) = x cube + 2x + 3m​

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

x+2=0

x=-2

  1. p(-2)=-2in force 3 +2(-2)+3m=0
  2. -8-4+3m=0
  3. -12+3m=0
  4. 3m=12
  5. m=4
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Descompuneti in factori. x^2+4x-5=?
Lapatulllka [165]
<span>Assume that,
   x^2+4x-5 = 0 .......(1)
       Then, x^2+4x-5 = 0 x^2+5x-1x-5 =0
   x(x+5)-1(x+5) = 0
    (x+5) (x-1) = 0
       We get x=-5 and x=1
       Sub x=-5 in equ (1)
   (-5)^2+4(5)-5 = 0
     -25+20-5 = 0
    -25+25= 0
    0 = 0
       Sub x=1 in equ (1) (1)^2+4(1)-5 = 0
    1+4-5 = 0 5-5 = 0
     0 = 0
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3 0
3 years ago
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kirza4 [7]

Answer:

Yes

Step-by-step explanation:

If you graph it... and they intersect there is a sloution.

soloution!:y=0

x=-1.5

3 0
3 years ago
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Which statement about the figure MUST be true? Select all that apply.
olga55 [171]
<h2>○=> <u>Correct options</u> :</h2><h2>□\color{plum}\tt\bold{(C) \: SR = 27}</h2><h2>□\color{plum}\tt\bold{(D) \: QR = 54 }</h2><h3><u>Steps to derive the correct options</u> :</h3>

Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

▪︎PS = PS

▪︎QS = RS

Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

= \tt6n + 3 = 4n + 11

= \tt6n + 3 - 4n = 11

=\tt 2n + 3 = 11

= \tt2n = 11 - 3

= \tt2n = 8

=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

=\tt 6n + 3

= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

=\tt 4 × 4 + 11

=\tt 16+11

\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

7 0
3 years ago
WORD PROBLEM! Sally has 15 apples. She gives some of her apples to three friends. They each get the same amount. Sally now has 9
Roman55 [17]

Answer:

Each friend got 2 apples

Step-by-step explanation:

[original amount of apples]-[Apples Sally has after distribution] = [friends] x [number of apples]

Filling in the brackets, you get this equation.

15-9=3 x apples per friend

6=3 x apples per friend

2 = apples per friend

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mrs_skeptik [129]
It would be 30 + 4.5x
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3 years ago
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