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elixir [45]
2 years ago
15

Given the expression 5a2b2 − 13ab + 7a3 − 4b, do the following as instructed below:

Mathematics
1 answer:
ozzi2 years ago
8 0
1. descending order (greatest to least): 7a3+5a2b-4b-13ab
2. classification: 4 terms
3. the degree: 3
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Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
ANEK [815]

Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

 more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
3 years ago
Read 2 more answers
What is the value of the expression 2 + 32 ⋅ (4 − 1)? <br> A: 24<br> B: 29 <br> C: 33 <br> D: 37
Paul [167]

For this case we have the following expression:

2 + 3 ^ 2 * (4 - 1)

Rewriting the expression we have:

1) First we subtract the numbers within the parenthesis:

2 + 3 ^ 2 * (3)

2) Then, we solve the exponents:

2 + 9 * (3)

3) Then, multiplication:

2 + 27

4) Finally, the addition of numbers is made:

29

Answer:

the value of the expression is:

B: 29

3 0
3 years ago
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PLEASE HELP ASAP WILL GIVE BRAINLEIST !!
Nikitich [7]

Answer:

Step-by-step explanation:

Lenny had a rectangular deck that was 12 feet by 14 feet he wants to increase the length and width by the same amount and at 120 square feet to the total area what's the answer

5 0
3 years ago
Can someone plz help me on this plz I beg u
AfilCa [17]

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

8 0
2 years ago
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Suppose that the candy machine holds exactly 650 skittles, and every time someone inserts a quarter, exactly 7 skittles come out
Lady bird [3.3K]

Answer:

510 skittles left in the machine

Step-by-step explanation:

7 skittles x 20 quaters = 140 skittles taken out

650 - 140 = 510

7 0
2 years ago
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