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Tamiku [17]
3 years ago
12

Given the expression (−2x2)(3x)(x), Jose says that different products occur if the order of the quantities being multiplied chan

ges. Is Jose correct? Explain.
Mathematics
1 answer:
Kaylis [27]3 years ago
3 0

Answer:

Jose is incorrect.

Step-by-step explanation:

Using the communitive property, you can rearrange (-2x2), (3x), and (x) in the problem and get the same product. You can rearrange it to (3x)(x)(-2x2). You can rearrange it to (3x)(-2x2)(x). Now matter where you rearrange them, the equation will always have the same product.

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The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
ArbitrLikvidat [17]

The correct answer to this question is Option (4).

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2 years ago
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X &lt;-8<br> Graph the inequality
IgorLugansk [536]

Answer:

<--------

<----|---|---|---|---|---|---|----------

   -9 -8 -7 -6 -5 -4 -3

Step-by-step explanation:

8 0
3 years ago
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A car travels 30 miles in 1/2 hour. What is the average speed at which the car is traveling in miles
Dmitry_Shevchenko [17]

Answer:

the car is traveling 60 miles per hour

Step-by-step explanation:

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6 0
3 years ago
"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal
puteri [66]
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

----------------------------------------------
Find Volume of 3 tennis balls:
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Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

----------------------------------------------
Find Volume of teh cylindrical canister:
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Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

----------------------------------------------
Find unoccupied space:
----------------------------------------------
Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

----------------------------------------------
Answer: 28.45 in³
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8 0
4 years ago
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
3 years ago
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