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AfilCa [17]
2 years ago
5

What is the completely factored form of 2x2 – 32?

Mathematics
2 answers:
Stolb23 [73]2 years ago
8 0
2x^2 - 32
2(x^2 - 16)
2(x + 4)(x - 4) <==
serious [3.7K]2 years ago
8 0

B is correct on edge.


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Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at
DiKsa [7]

Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.

Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

So the net flow rate of salt, given by x(t) in grams, is governed by the differential equation,

x'(t)=15-\dfrac{3x(t)}{10}

which is linear. Move the x term to the right side, then multiply both sides by e^{3t/10}:

e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}

\implies\left(e^{3t/10}x\right)'=15e^{3t/10}

Integrate both sides, then solve for x:

e^{3t/10}x=50e^{3t/10}+C

\implies x(t)=50+Ce^{-3t/10}

Since the tank starts with 5 g of salt at time t=0, we have

5=50+C\implies C=-45

\implies\boxed{x(t)=50-45e^{-3t/10}}

The time it takes for the tank to hold 20 g of salt is t such that

20=50-45e^{-3t/10}\implies t=\dfrac{20}3\ln\dfrac32\approx2.7031\,\mathrm{min}

3 0
2 years ago
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the t
Alina [70]
Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.

A loaded moving truck is traveling 30 mph faster than a freight train...
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles...
135/(x-30)=225/x
the you multiply on both sides the x values and get...
 135x=225x-6750
then you subtract 225x on both sides...
-90x=-6750
then you divide -90 on both sides...
x=75
the speed of the truck is 75mph
i hope this helped give me a thanks and a 5 star rating if it helped! c:



4 0
2 years ago
Mr. Peter charges $2.25 for the usage of laptop for 9 hours. How much Victor needs to pay for 15 hours of usage?
Papessa [141]

Answer:

3.75

Step-by-step explanation:

2.25 divided by 9

= 0.25

then

0.25 * 9

= 3.75

5 0
2 years ago
Read 2 more answers
Eli needs pieces of ribbon cut into strips that are 2 1\2 feet long. The roll of ribbon is 7 1\2 feet long. Which expression cou
julsineya [31]

Answer: There are 3 strips that can be cut from the roll of ribbon.

Step-by-step explanation:

since we have given that

Length of a ribbon is given by

7\frac{1}{2}\ ft\\\\=\frac{15}{2}\ ft

Length of pieces of ribbon cut into strips is given by

2\frac{1}{2}\ ft\\\\=\frac{5}{2}\ ft

So, we need to find the number of strips that can be cut is given by

\text{ Number of strips }=\frac{\text{Length of roll}}{\text{ Length of strip}}\\\\=\frac{\frac{15}{2}}{\frac{5}{2}}\\\\=\frac{15\times 2}{2\times 5}\\\\=\frac{15}{5}\\\\=3

Hence, there are 3 strips that can be cut from the roll of ribbon.

6 0
2 years ago
Read 2 more answers
Alex is drawing rectangles with different areas on a centimeter grid . He can draw 3 different rectangles with an area of 12cm s
mojhsa [17]

Answer:

Number of rectangles  could alex draw with an area of 11cm² = 1

Step-by-step explanation:

Minimum length in centimeter grid = 1 cm

Alex is drawing rectangles with different areas on a centimetre grid.He can draw 3 different rectangles with an area of 12cm²

That is

                  12 = 1 \times12\\\\12=2\times6\\\\12=3 \times4

         These are the 3 different rectangles with an area of 12cm².

Now we need to find how many rectangles could alex draw with an area of 11cm².

                    11 = 1 x 11

So only one factorization is possible.

Number of rectangles  could alex draw with an area of 11cm² = 1

6 0
1 year ago
Read 2 more answers
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