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LenaWriter [7]
3 years ago
10

I'm having trouble solving this, if anyone could help I'd be most appreciated.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0
You can check that
f(1)=0
f(-3)=0
f(-5)=0

thus:
x^3+7x^2+7x-15=\boxed{(x-1)(x+3)(x+5)}

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Need help with this <br>​
defon

Let n be the larger integer and n-2 be the smaller integer.

n² - (n - 2)²

= n² - (n - 2)(n - 2)

= n² - (n² - 4n - 4)

= n² - n² + 4n + 4

= 4n + 4

= 4(n + 1)

No matter what value n is, it will always be a multiple of 4.

4 0
3 years ago
A large mixing tank initially contains 1000 gallons of water in which 30 pounds of salt have been dissolved. Another brine solut
serg [7]

Answer:

(B)\dfrac{dA}{dt}=8-0.004A

Step-by-step explanation:

Volume of fluid in the tank =1000 gallons

Initial Amount of Salt in the tank, A(0)= 30 pounds

Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.

Rate In=(concentration of salt in inflow)(input rate of brine)

=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}

The resulting mixture is pumped out at the same rate, therefore:

Rate Out =(concentration of salt in outflow)(output rate of brine)

=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}

Therefore:

The rate of change of amount of salt in the tank,

\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A

5 0
4 years ago
Calculate the mean 12,2,8,6,57
Rzqust [24]
12+2+8+6+57=85

85/5= 17

mean=17
6 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP ME??!!
Sonbull [250]

Answer:

Step-by-step explanation:its ratxrat

...

4 0
3 years ago
Read 2 more answers
(2x-3)(3x+4) expand and simplify
elixir [45]

Answer:

6x² - x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor.

(2x - 3)(3x + 4)

= 2x(3x + 4) - 3 (3x + 4) ← distribute both parenthesis

= 6x² + 8x - 9x - 12 ← collect like terms

= 6x² - x - 12 ← in expanded form


5 0
3 years ago
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