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Fantom [35]
4 years ago
5

3x^3-15x^2+18x=0 Show all steps and explain each step using a complete sentence.

Mathematics
2 answers:
Helga [31]4 years ago
6 0

x = -1, 0, 6

Step-by-step explanation:

factor out an 3x.

3x(x^2 - 5x + 6)

solve for the first x.

3x = 0

x = 0

now factor the polynomial

(x - 6)(x + 1)

x - 6 = 0

x = 6

x + 1 = 0

x = -1

Anna007 [38]4 years ago
3 0

Answer:

x= 0 ; 2; 3

Step-by-step explanation:

<u>Let's solve your equation step-by-step. </u>

3x^{3} -15x^{2}+18x=0

Three x to the third power minus 15x to the second power + eighteen x equals 0.

<u>Step 1: Factor left side of equation. </u>

3x(x-2)(x-3)=0

Three x times x minus 2 times x minus three equals 0

<u>Step 2: Set factors equal to 0. </u>

3x=0 ; x-2=0 ;  x-3=0\\x=0 ;  x=2 ;  x=3

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23=5-2/3d then what is the value of 6d?
navik [9.2K]

Answer:

-162

Step-by-step explanation:

23=5-2/3d

2/3d=-18

d= -27

6d= 6* -27

6d= -162

4 0
3 years ago
Suppose that $p$ and $q$ are positive numbers for which \[\log_9 p = \log_{12} q = \log_{16} (p + q).\] what is the value of $q/
SVEN [57.7K]

Given p,q>0 and \log_9p=\log_{12}q=\log_{16}(p+q)=x (say).

Then,

p=9^x\\ q=12^x\\ p+q=16^x

From the above 3 equations,

\frac{q}{p} =(\frac{12}{9} )^x\\ \frac{q}{p} =(\frac{4}{3} )^x\\ \frac{p+q}{p} =(\frac{16}{9} )^x\\ \frac{p+q}{p} =(\frac{4}{3} )^{2x}\\

From the equations, we get

\frac{p+q}{p}=(\frac{q}{p})^2\\ 1+\frac{q}{p}=(\frac{q}{p})^2\\ (\frac{q}{p})^2-\frac{q}{p}-1=0\\ \frac{q}{p}=\frac{1 \pm \sqrt{5}}{2}

Since p,q>0, the negative value is rejected.

\frac{q}{p}=\frac{1 + \sqrt{5}}{2}

3 0
4 years ago
One serving of Gooey Gushers provides 12% of the daily value of vitamin C. Tim ate 312 servings of Gooey Gushers.
Studentka2010 [4]

Answer:

a) Given expression,

12% of 312

Since 100% of 312 = 312

⇒ 10% of 312 = 31.2,

⇒ 1% = 3.12

⇒ 2% = 2 × 3.12 = 6.24

So, 12% of 312 = 10% of 312 + 2% of 312

= 31.2 + 6.24

= 37.44

b) Given,

Total number of servings = 312,

The percentage of vitamin C in each serving = 12%,

Thus, the total amount of the vitamin C in 312 servings = 12% of 312

=\frac{12\times 312}{100}

=\frac{3744}{100}

= 37.44,

Hence, the question can be asked about the total amount of the vitamin C.

6 0
3 years ago
Write a function rule for the table
Ostrovityanka [42]
They go up down up ya up down u know
5 0
3 years ago
Please answer all three.​
sasho [114]

Answer:

842.04 cm³

Step-by-step explanation:

Cylinder:

diameter = 6 cm

r = 6/2 = 3cm

h = 4 cm

Volume of cylinder = πr²h

                               = 3.14 * 3 * 3 * 4

                               = 113.04 cm³

Cube:

side = 9 cm

Volume of cube = side * side *side

                           = 9*9*9

                             = 729 cm³

Volume 0f composite figure = volume of cylinder + volume of cube

      = 113.04 + 729

      = 842.04 cm³

4 0
3 years ago
Read 2 more answers
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