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3 years ago

Solve the polynomial equation by factoring. 3x^4+11^3-4x^2=0

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Sidana [21]3 years ago

5 0

Step-by-step explanation:

$3{x}^{4} + 11 {x}^{3} - 4 {x}^{2} = 0 \\ factor \: {x}^{2} out \: of \: 3 {x}^{4} + 11 {x}^{3} - 4 {x}^{2} \\ \\ {x}^{2} ( 3{x}^{2} + 11x - 4) = 0 \\ {x}^{2} (3x - 1)(x + 4) = 0 \\ {x}^{2} = 0 \\ 3x - 1 = 0 \\ x + 4 = 0 \\$

$x = 0 \\ x = \frac{1}{3} \\ x = - 4 \\$

The final solution is

x=(0 , 1/3 , -4 )

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inessss [21]

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3 years ago

Find the next three terms in this sequence: 5120, 1280, 320, 80, ...

dimaraw [331]

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3 years ago

(3/5)^2+4X3-2 what is the value of the expression

Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

$(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

$=12.36 - 2$

$=10.36$

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

$=12.36 - 2$

$=10.36$

7 0

3 years ago

Holly wants to save money for an emergency. Holly invests 1,500 in an account that pays an interest rate of 6.75%. How many year

lina2011 [118]

The formula is
A=p (1+r)^t
A future value 7300
P present value 1500
R interest rate 0.0675
T time?
7300=1500 (1+0.0675)^t
Solve for t
Divide both sides by 1500
7300/1500=1.0675^t
Take the log for both sides
Log (7300/1500)=t×log (1.0675)
Divide both sides by log (1.0675)
T=log(7,300÷1,500)÷log(1.0675)
T=24.2 years round your answer to get 24 years

Hope it helps!

4 0

3 years ago

Read 2 more answers

A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to

Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

6 0

3 years ago