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olasank [31]
3 years ago
14

A box has a volume given by the trinomial x3 + 7x2 - 18x. What are the possible dimensions of the box? Use factoring.

Mathematics
1 answer:
fomenos3 years ago
5 0
X^3+7x^2-18x

x(x^2+7x-18)

x(x+9)(x-2)

However note that this is not a normal factoring problem as dimensions must be greater than zero, so x>2

Since we were not given a specific volume there are infinite solutions provided x>2
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6x + 10x = 64 what does x equal?
Nutka1998 [239]
X= 4
You add 6x and 10x then divide 16x from 64 which makes x=4
6 0
3 years ago
Read 2 more answers
A thread is being pulled off a spool at the rate of 40 cm per second. Find the radius of the spool
murzikaleks [220]

Answer:

r = 0.0424 cm (3sf)

Step-by-step explanation:

it makes 150 rev/sec

1 revolution = 1 circumference = 2pi*r

so every second the spool goes through 2*pi*r*150 of distance

we know that the rate of pulling is 40cm/sec

so 2pi*r*150 = 40

r = 40/(2pi*150), which is 0.04244131816 cm.

check: Circumference is 2pi*r = 0.2666

now multiply by 150rev/sec = 40 cm/sec

3 0
2 years ago
Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?
grigory [225]

Answer:

6(3+2)

Step-by-step explanation:

Distributive property:

ab + ac = a(b+c)

where a = greatest common factor (GCF)

GCF of each factor

18 = 2×3×3

12 = 2×2×3

GCF of 18 and 12 = 2×3

= 6

Therefore,

18 + 12 = 6(3) + 6(2)

= 6(3+2)

Where,

6 = a

3 = b

2 = c

ab + ac = a(b+c)

7 0
3 years ago
PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
7 0
3 years ago
Help me please need answer and explained!!!!
Flauer [41]
Whatchu need help with?
5 0
3 years ago
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