Question

Kg1975 Help Room!

Answer 1

@Kimberly_PR

Answer 2

Haha, thank you :)

Answer 3

yw lol

Answer 4

i can get to this room easier when i go to help others i can see when u type ill come back XD

Answer 5

Great! And I already have my next question :) lol

Answer 6

ok kelly tagged me in brb

Answer 7

Factor by grouping:
2u^3 + 3u^2 - 10u - 15

Answer 8

ok see if u can maybe figure it out like before if not ill help ive had this problem in another room XD

Answer 9

UGGH omg I'm sooo bad at factoring :/

Answer 10

ok ill explain it XD

Answer 11

Yes please, lol

Answer 12

2u3+3u2-10u-15
Final result :

(u2 - 5) • (2u + 3)

Step by step solution :
Equation at the end of step 1 :

(((2 • (u3)) + 3u2) - 10u) - 15
Step 2 :

Equation at the end of step 2 :

((2u3 + 3u2) - 10u) - 15

Step 3 :
Checking for a perfect cube :

3.1 2u3+3u2-10u-15 is not a perfect cube
Trying to factor by pulling out :

3.2 Factoring: 2u3+3u2-10u-15

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -10u-15
Group 2: 2u3+3u2

Pull out from each group separately :

Group 1: (2u+3) • (-5)
Group 2: (2u+3) • (u2)
-------------------
Add up the two groups :
(2u+3) • (u2-5)

Answer 13

..

Answer 14

@helpppp

Answer 15

I was requested?

Answer 16

And is that u^2? @kg1975

Answer 17

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.
Final result :

(u2 - 5) • (2u + 3)
Yes it is kimberly

Answer 18

Awesome, thank you :)

Answer 19

yw Helpppp tutored me a lil bit in math and i wasnt totally for sure but im pretty sure i got this right i just wanted her to double check and she said i was corect

Answer 20

idk yet DX

Answer 21

Yeah, ya gots it. *highfives you*

Answer 22

haha

Answer 23

Factor 10y^2 -23y +12

Answer 24

Is that one by grouping too?

Answer 25

It doesn't say, it just says factor

Answer 26

((2•5y2) - 43y) + 12

Step 2 :
Trying to factor by splitting the middle term

2.1 Factoring 10y2-43y+12

The first term is, 10y2 its coefficient is 10 .
The middle term is, -43y its coefficient is -43 .
The last term, "the constant", is +12

Step-1 : Multiply the coefficient of the first term by the constant 10 • 12 = 120

Step-2 : Find two factors of 120 whose sum equals the coefficient of the middle term, which is -43 .
-120 + -1 = -121
-60 + -2 = -62
-40 + -3 = -43 That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -40 and -3
10y2 - 40y - 3y - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
10y • (y-4)
Add up the last 2 terms, pulling out common factors :
3 • (y-4)
Step-5 : Add up the four terms of step 4 :
(10y-3) • (y-4)
Which is the desired factorization
Final result :

(y - 4) • (10y - 3)

Answer 27

Omg thank you so much

Answer 28

yw here is a medal for u for good questions XD some of ur questions are very hard but i try XD thats why i asked helpppp before XD

Answer 29

Thanks :) that was nice

Answer 30

Abdul is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $109 and allows unlimited mileage. Company B has an initial fee of
$55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m

Answer 31

dang word problems! im horrible let me get helpppp for this 1

Answer 32

@KingNoob @helpppp

Answer 33

@quickstudent

Answer 34

@mathmate

Answer 35

@kittiwitti1

Answer 36

ok while i wait for them imma try and figure this out XD

Answer 37

a=127

b=55+.9m
Solve: a >= b
127 >= 55+.9m
72 >= 0.9m
m <= 72/0.9
---
m <= 80 miles (a >= b when # of miles <= 80)

Answer 38

A(x) = 127x dollars
B(x) = 55 + 0.9x dollars

Answer 39

@kingethan8500 @kittiwitti1 @mathmate @quickstudent

Answer 40

\(\large\text{Sorry, trying to finish my Calculus homework.}\)

Answer 41

And... you tagged me twice. :v

Answer 42

oh its ok i just wanted to know if im correct im trying to help my friend kimberly but im horrible at word problems

.this is her question

Abdul is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $109 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m

my answer is...

Answer 43

Sorry, I can't. But good luck on finishing ☺

Answer 44

And you're a great friend for helping! ^^

Answer 45

ok

Answer 46

A(x) = 127x dollars
B(x) = 55 + 0.9x dollar

a=127 b=55+.9m Solve: a >= b 127 >= 55+.9m 72 >= 0.9m m <= 72/0.9 --- m <= 80 miles (a >= b when # of miles <= 80)

Answer 47

got it kimberly?

Answer 48

I got it :) and no more word problems I promise, lol

Answer 49

its alright ill figure it out if u have word problems! XD

Answer 50

Sorry, I'm trying to cook, do my pre calc work and write an essay....

Answer 51

Just one more factoring problem since I know you are GREAT at those :)

Answer 52

its ok

Answer 53

ok let have at it! XD

Answer 54

Factor 3y^2 + 14y -5

Answer 55

factor 3y^2-14y-24
Use the AC Method:
AC = 3*-24 = -72
B = -14
---------------
Think of two numbers whose sum is -72 and whose product is -14
The numbers are -18 and +4
------------------------------

Rewrite the original problem putting -18y+4y in place of -14y:
= 3y^2-18y+4y-24
Factor the 1st two and the last two terms separately:
= 3y(y-6)+4(y-6)

with that try and figure out the answer i know it so if u dont then ill tell you ok

Answer 56

Ok so it would be (3y^2-18y)(4y-24) right?

Answer 57

ehh thats an equation to find the answer... but anyways the answer is (y-6)(3y+4) i was trying to find an easy way to explain that but i couldnt XD

Answer 58

Factor the 1st two and the last two terms separately:
= 3y(y-6)+4(y-6)
Factor again:
= (y-6)(3y+4)

Answer 59

so the answer is (y-6)(3y+4)

Answer 60

just tag me if u need me but im closing this room and making a new 1 its to full XD

Answer 61

ok?

Answer 62

Ok :) well I think I'm actually done for the day. Thanks for everything :) @kg1975

Answer 63

ok well if u need anything ask and ill tag u into another private help room