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artcher [175]
2 years ago
13

(4x+5) (3x+1) -3 (x+1)​

Mathematics
1 answer:
ollegr [7]2 years ago
4 0

Answer:

-36x^3 - 69x^2 - 34x - 5

Step-by-step explanation:

(4x + 5) (3x + 1) -3 (x + 1)

(4x + 5) (3x + 1) ( -3x - 1)

12x^2 + 4x + 15x +5

Combine like terms

12x^2 + 19x + 5 (-3x - 1)

-36x^3 -57x^2 - 15x^2 -5

Combine like terms

-36x^3 - 69x^2 - 34x - 5

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What are the advantages and disadvantages of using a line plot to represent data?
Varvara68 [4.7K]
The advantage is that you can visibly see the difference in the data. Disadvantage of line plots would be that not as appealing. 
3 0
3 years ago
What is the value of x? Round to the nearest tenth(1 decimal place)​
liraira [26]

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
  5. Round:                                              x ≈ 15.0 ft
6 0
3 years ago
What is mKNL?<br> Enter your answer in the box.
sergejj [24]

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

5x+2={3(x+14)

Now let's solve for x now

5x+2=3(x+14)\\

5x+2=3x+42

5x-3x=42-2

2x=40

\frac{2x}{2} =\frac{40}{2}

x=20 \\

Now let's find the value of KNL

3(x+14)\\3(20+14)\\3*34\\102

Hope this helps you.

Let me know if you have any other questions ;-)

5 0
2 years ago
Joseph is building a cone using modeling clay. The cone has a radius of 6 cm and a height of 12 cm. Joseph adds additional clay,
dmitriy555 [2]
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3

Original cone = (3.14 * 6^2 * 12) / 3
</span></span></span></span>
<span><span>Original cone = 452.16 </span> cc

</span>Larger cone =  <span>(3.14 * 6^2 * 18) / 3 = </span> <span> <span> <span> 678.24 </span> </span> </span> cc

Difference = <span>(678.24 -452.16) = </span> <span> <span> <span> 226.08 </span> </span> </span> cc


3 0
3 years ago
Read 2 more answers
you have $15,000 to invest for 5 years at 5.5% annual interest rate that is compounded continuously. how much money will you hav
MissTica

Answer:

$19,747.96

Step-by-step explanation:

You are going to want to use the continuous compound interest formula, which is shown below:

A = Pe^{rt}

<em>A = total</em>

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 5.5% into a decimal:

5.5% -> \frac{5.5}{100} -> 0.055

Next, plug in the values into the equation:

A=15,000e^{0.055(5)}

A=19,747.96

After 5 years, you will have $19,747.96

4 0
3 years ago
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