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4 years ago

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:

Let's solve your equation step-by-step.

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

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

Step 1: Factor left side of equation.

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

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

Step 2: Set factors equal to 0.

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

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Clare bought a new pair of shorts for $ 13.75. This was 25% off the regular price. What was the original price? ( Round your ans

Inessa05 [86]

Answer:

18.3

Step-by-step explanation: Here i'll give you my notes for finding original price

1. make the percent into a decimal

2. subtract the decimal by 1

3. divide the number you just got and the decimal you got from the first step

7 0

2 years ago

Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below

Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated $(6.34\times 10^{-7})(4.5\times 10^3)$ . His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - $(6.34\times 10^{-7})(4.5\times 10^3)$

Step 2 - $(6.34\times 4.5)(10^{-7}\times 10^3)$

Step 3 - $(28.53)(10^{-4})$

Step 4 - $28.53\times 10^{4}$

Error is the step as 4 sign is negative.

So correct step is $28.53\times 10^{-4}$

Step 5 - $28.53\times 10^{3}$

Error is the step as there is 4 in place of 3.

So correct step is $28.53\times 10^{-4}$

The step 4 and 5 describe the errors Stephen made.

7 0

3 years ago

Read 2 more answers

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

3 years ago

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.

Anna35 [415]

Answer:

$29, that is the answer for this question

8 0

3 years ago

1. Write an algebra equation for each purchase. I (Mickey) bought an ice cream treat and a bottle of water for $10. Pam purchase

Ne4ueva [31]

x+y=10

x+2y=14
x is common in both so u have to subtract the second one from 1st
x-x + y-2y = 10-14
-y = -4
y=4
which means bottle of water (y) = 4
and then substitute 4 in equation (x+y=10 or x+2y=10)
x + 4 = 10
x=6

5 0

3 years ago