Explain Null Factor Law

Answer:

Option c. is correct

Step-by-step explanation:

Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.

[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]

So,

Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches

Answer:

The dressmaker bought 3 yard of cotter and 2 yards of silk

Step-by-step explanation:

So what you do it just put those equations into a graphing calculator and the point where they intersect is your answer

Answer:

[tex]y=\frac{2x-6}{3}[/tex]

Step-by-step explanation:

3y=2x-6

[tex]y=\frac{2x-6}{3}[/tex]

First, you have to move the x, along with the coefficient(2).

To move the 2x, you have to subtract it from both sides.

So you have -3y= 6-2x

Now you have to divide by -3.

DON’T FORGET THE NEGATIVE.

So you have y = -2 +2/3

In slope intercept form

If this helped please mark branliest

Answer:

7.50h+0.75s        63.75       30

Step-by-step explanation:

7.50 x how many hours + 0.75 x how many sunglasses he sold

7.50 x 6 + 0.75 x 25= 63.75

7.50x8= 60    0.75x40=30               60+30=90

Answer:

Because it helps children and other people understand how the number system works. if you develop number sense you will have a range of different maths strategies like addition subtraction

Answer:

First one, Second one, and fourth one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Answer:

1)b=0.153846

2)x > -15/2

Step-by-step explanation:

I used this site called math-

way

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

the function is x^2-9, so all you have to do is replace x with a number. for example, 2.

so 2^2-9 is -5. the plot would be 2, -5. basically, plug in a number to be the x coord, and whatever number you get will be your y coord.

after you graph a few plots (doing the same thing above), draw a line through all of them.

if the line goes up towards the right top corner, it's increasing. if it goes down the right bottom corner, it's decreasing.

The answer for the first one is 4.47945205479, if you need to round that would be 4.5.

The answer for the second one is 20.4945454545, rounding will be 20.5.

The answer for the last one is 893.84, rounding will be 893.8.

If you need to round just remember 4 or less, will be rounded to 0, and 5 or more would be rounded to 10.

Step-by-step explanation:

1 result(s) found

x  

2

−x−3

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

STEP

2

:

           x3 + 3x2 - 7x - 12

Simplify   ——————————————————

                 x + 4        

Checking for a perfect cube :

2.1    x3 + 3x2 - 7x - 12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3 + 3x2 - 7x - 12  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x - 12  

Group 2:  x3 + 3x2  

Pull out from each group separately :

Group 1:   (7x + 12) • (-1)

Group 2:   (x + 3) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3 + 3x2 - 7x - 12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -3.00      

     -2       1        -2.00        6.00      

     -3       1        -3.00        9.00      

     -4       1        -4.00        0.00      x + 4  

     -6       1        -6.00        -78.00      

     -12       1       -12.00       -1224.00      

     1       1        1.00        -15.00      

     2       1        2.00        -6.00      

     3       1        3.00        21.00      

     4       1        4.00        72.00      

     6       1        6.00        270.00      

     12       1        12.00        2064.00      

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3 + 3x2 - 7x - 12  

can be divided with  x + 4  

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3 + 3x2 - 7x - 12  

                             ("Dividend")

By         :    x + 4    ("Divisor")

dividend     x3  +  3x2  -  7x  -  12  

- divisor  * x2     x3  +  4x2          

remainder      -  x2  -  7x  -  12  

- divisor  * -x1      -  x2  -  4x      

remainder          -  3x  -  12  

- divisor  * -3x0          -  3x  -  12  

remainder                0

Quotient :  x2-x-3  Remainder:  0  

Trying to factor by splitting the middle term

2.5     Factoring  x2-x-3  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    1    =    -2  

     -1    +    3    =    2  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Canceling Out :

2.6    Cancel out  (x+4)  which appears on both sides of the fraction line.

Final result :

 x2 - x - 3

Terms and topics

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Polynomial root calculator

Polynomial long division

Related links

More Icon

Root Finder -- Polynomials Calculator

How to factor five term polynomial - Yahoo Answers

Long Polynomial Division

Polynomial long division - Wikipedia

Polynomial Long Division

Polynomials - Long Division

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average = Questions / Time

Average = 140 / 40 = 14/4 = 7/2 = 3 1/2 = 3.5

None of the answers are the same as mine. I'm pretty sure min is correct. Ask your instructor what you should answer.

Answer:

15

Step-by-step explanation:

Answer:

I am sorry I can't help

Step-by-step explanation:

please forgive me

Answer:

Step-by-step explanation:

a

Answer:

q = 14

Step-by-step explanation:

3 (q - 16) + -8 = -14

3q - 48 + -8 = -14

3q - 56 = -14

    +56     +56

3q = 42

/3.      /3

q = 14

hope this helps :)

Answer:

[tex]6n - 6 = 36 \: d. - - - addition \:property \: of \: equality \\

6n = 42 \: e. - - - division \: property \: of \: equality \: \\ [/tex]

Answer:

10/7 is an improper fraction because the numerator is greater than the denominator.

Step-by-step explanation:

so try 10/7 as a whole number

Hi there

I think I maybe able to help.

Here is my answer:

996

Hope this helps

Answer:

Total reduction after 2 years = [tex]16,200[/tex] rupees

Step-by-step explanation:

Current price of a machine [tex](P_0)[/tex] = 45,000 rupees

Rate of depreciation (r) = 20%

Time (t) = 2 years

Price after 2 years = [tex]P_0(1-\frac{r}{100} )^t[/tex]

[tex]=45000(1-\frac{20}{100})^2 \\=45000(1-\frac{1}{5})^2\\ =45000(\frac{4}{5})^2\\ =45000(\frac{16}{25})[/tex]

[tex]=28800\,\,[/tex] rupees

Total reduction after 2 years = [tex]P-P_0=45,000-28,800=16,200[/tex] rupees

Answer:

5

Step-by-step explanation:

It's the opposite of the sign. So you just add a negative if positive and a positive if negative.

Ex.

-20 = 20

14 = -14

Answer:

Correct

Step-by-step explanation:

Your graph is correct. The y-intercept is -6 and the slope is negative one, so you count one down and one to the right.

Answer:

y=4

Step-by-step explanation:

simplify 2^6 --> 64

find the cube root of 64,

y=4

Answer:

They lost $250 total

Step-by-step explanation:

[tex]150 \times 65 = 9750[/tex]

[tex]10000 - 9750 = 250[/tex]

[tex]250[/tex]