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3 years ago

Can someone please help me get brainliest?? please?

Mathematics

1 answer:

gogolik [260]3 years ago

6 0

Answer:

sure, why not

Step-by-step explanation:

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0

3 years ago

Kegan wants to buy a new skateboard that will cost $140. So far, Kegan has saved $30 toward the purchase to the skateboard. To r

lubasha [3.4K]

Answer:

10x + 30=140. Kegan has to mow his neighbors lawn 11 times.

5 0

4 years ago

Read 2 more answers

What is the value of the expression 3x+4 when x=7?

Pani-rosa [81]

Answer: 25

Step-by-step explanation: 7x3 = 21+4 =25

Hope this helped!

Mark Brainliest if you want!

7 0

3 years ago

Read 2 more answers

Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Zanzabum

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

6 0

3 years ago

Read 2 more answers

A nature center charges $35.25

gregori [183]

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+ 3525+625y=66050

-----------------------------------

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

4 0

3 years ago