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wolverine [178]
2 years ago
12

Simplify the following expression.

Mathematics
2 answers:
nydimaria [60]2 years ago
7 0

Answer:

-70x, 26y^3, -3z

Step-by-step explanation:

The way to solve this is by combining like terms. The terms we have given to us include x, y^3, and z. As a result, we will group terms based on these variables.

1. Find all the terms with each variable.

* -35x, -35x

* 23y^3, 3y^3

* -3z

2. Combine like terms.

* -35x + (-35x) = -35x - 35x = -70x

* 23y^3 + 3y^3 = 26y^3

* -3z + 0 = -3z

Softa [21]2 years ago
7 0

Answer:

Hello! The answer is: -70x - 3z + 26y^3

Step-by-step explanation:

First, rearrange to combine like terms:

-35x - 35x - 3z + 23y^3 + 3y^3

Now, combine like terms:

-70x - 3z + 26y^3

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Answer:

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Step-by-step explanation:

-7x + 13 ≥ 41

Subtract 13 from both sides

-7x ≥ 28

Dividing both sides by the -7 changes the inequality sign and we have

x ≤ -4

Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.

Hope this Helps!!!

6 0
3 years ago
What's the probability of obtaining a 3 digit number at random which is DIVISIBLE by 7 ​
pochemuha

Answer:

  32/225 ≈ 0.1422

Step-by-step explanation:

If you consider "3-digit" numbers to be between 100 and 999, inclusive, there are 128 such numbers divisible by 7. The probability of choosing one at random is ...

  128/900 = 32/225 = 0.1422...(repeating)

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If you consider all non-negative integers less than 1000 to be "3-digit numbers," then the probability is ...

  142/1000 = 0.142 (exactly)

6 0
3 years ago
which has greater cenetic energy a car traveling 30.0 km/hr or one twice as heavy traveling at 15 km/hr?​
iVinArrow [24]

Answer:

30 km/h car

Step-by-step explanation:

From analysis the   car traveling at 30 km/h has greater kinetic energy

we can deduce it from the expression of kinetic energy which is

KE=\frac{1}{2} mv^2

Assuming the mass m= 1 kg

 

For the 30 km/h

KE=\frac{1}{2}*1*30^2 \\\\KE=\frac{1}{2}*1*900\\\\\KE=450 J

   

For the 15 km/h

KE=\frac{1}{2}*2*15^2 \\\\ KE=\frac{1}{2}*2*225 \\\\\ KE=\frac{1}{2}*450 J\\\\\ KE=225 J

Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE

8 0
3 years ago
A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?
Helga [31]

Answer

IS 2/4

Step-by-step explanation:

1/3 = 4/12  1/4 = 3/12  4/12+3/12= 6/12 = 2/4

8 0
3 years ago
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