Five swimmers are entered into the competition. Four of the swimmers have had their turns. Their scores are 9.8s, 9.75s, 9.79s, and 9.81s. What score must the last swimmer get in order to win the competition?

Answer:

225/10=441/l

cross multiply

225l=10*441

225l=4410

l=4410/225

l=19.6 liters of gas

Step-by-step explanation:

l=19.6 liters of gas

Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.

1. Quadratic Factoring --> [tex]x^2+2x-15[/tex] --> we have an [tex]x^2[/tex] but we want there to only be "[tex]x[/tex]"s. Here we need to constant numbers (integers), that multiply together to get [tex]-15[/tex], and add up to [tex]+2[/tex]. (5 and -3)

    - [tex]x^2+2x-15[/tex] ==> [tex]x^2+5x-3x-15[/tex] ==> [tex]x(x+5)-3(x+5)[/tex] ==> [tex](x-3)(x+5)[/tex]

Above: We can see that we factor out [tex]x[/tex] from [tex]x^2+5x[/tex] (This shows that we are aiming to break it down to make it easier to evaluate).

Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.

--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.

Answer:

The equation of the line is- y = x + 13

Answer: 5x^3 + 3x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

           6x2 - 8x - 2

Simplify   ————————————

              x - 1    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  6x2 - 8x - 2  =   2 • (3x2 - 4x - 1)

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 4x - 1

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -1

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

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -4 .

     -3    +    1    =    -2

     -1    +    3    =    2

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Polynomial Long Division :

3.3    Polynomial Long Division

Dividing :  3x2-4x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     3x2  -  4x  -  1

- divisor  * 3x1     3x2  -  3x    

remainder      -  x  -  1

- divisor  * -x0      -  x  +  1

remainder          -  2

Quotient :  3x-1

Remainder :  -2

Final result :

 2 • (3x2 - 4x - 1)

 ——————————————————

       x - 1      

See results of polynomial long division:

1. In step #03.03

Answer:

3 cups

Step-by-step explanation:

3/4 times 4 equals 12/4. divide and get 3.

Answer:

The answer is B --> [tex]\frac{x^{2} }{3x^{2} -1}[/tex]

How I got that:

These are really easy, you're simply looking for numbers that you can factor down. Like here:

I took:

[tex]\frac{4x^{2} }{12x^{2} -4}[/tex]

and saw that I could factor out 4 from the denominator:

[tex]\frac{4x^{2} }{4(3x^{2} -1)}[/tex]

and then I canceled out the common factor (4 because its on both sides):

[tex]\frac{x^{2} }{3x^{2} -1}[/tex]

And there ya go!

~That's All Folks~

-Siascon

Answer: It's B

Step-by-step explanation:          

            22x2  

Simplify   ————————

           12x2 - 4

4.1     Pull out like factors :

  12x2 - 4  =   4 • (3x2 - 1)

Answer:

wheres the figure

aaah

good morning

Usando conjuntos de Venn, se encuentra que 7 estudiantes practican solo atletismo.

Los conjuntos son:

Hay que:

La cantidad que practica ambos es:

[tex]A \cap B = A + B - A \cup B[/tex]

[tex]A \cap B = 13 + 10 - 20[/tex]

[tex]A \cap B = 3[/tex]

Solo atletismo es:

[tex]B - A \cap B = 10 - 3 = 7[/tex]

7 estudiantes practican solo atletismo.

Más informaciones a cerca de conjuntos de Venn pueden ser obtenidas en https://brainly.com/question/24388608

Answer:

The given lines are parallel.

Step-by-step explanation:

3y=2-x

y=-1/3x+4

-------------

y=2/3-1/3x

y=-1/3x+2/3

y=-1/3x+4

----------------

Since the two lines have exact same slopes, it follows that these two lines are parallel.

Answer:

A. Negative

Step-by-step explanation:

This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.

Answer:

Negative

Step-by-step explanation:

We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

Reasons:

The given table of values is presented as follows;

[tex]\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right][/tex]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

Learn more about arithmetic and geometric progression here:

https://brainly.com/question/8932895

https://brainly.com/question/22977503

Answer:

1296cm².

Step-by-step explanation:

= 12×36×6÷2 ................

plz check weather correct or notn

Answer:

(7,7.5)

Step-by-step explanation:

midpoint formula:

(10+4)/2=7

(6+9)/2=7.5

(7,7.5)

Answer:

EG = 12.2

Step-by-step explanation:

Since HG = HE = 14 then the triangle is isosceles.

HF is a perpendicular bisector of EG , then

EF = FG = 6.1 , so

EG = EF + FG = 6.1 + 6.1 = 12.2

Answer:

The correct answer is none.

Step-by-step explanation:

The correct answer is y = -1/5x + 1

To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (2 - -1)/(-5 - 10)

m = 3/-15

m = -1/5

Now that we have the slope, we can use it along with either point in the point-slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = -1/5(x + 5)

y - 2 = -1/5x - 1

y = -1/5x + 1

Answer:

It Should be y= -1/5x + 1 but you have not listed it in your options...

Step-by-step explanation:

-1=0

0.5=4.5

3=3.1

this is the answer

Answer:

y=4x+18

Step-by-step explanation:

HOPE THIS HELPS :)

Hi,

if c = 8 and d = -5:

3*(c + d) <=> 3*(8 + (-5))

= 3*(8 - 5)

= 3*3

= 9

✅^_^

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1:  

m = 0.125, b = - 3  

y = (1/8)x + (-3)

y = 0.125x - 3

(Graph is attached)

Answer:

Step-By-Step explanation:

Formula for any straight line is

y = mx + c

where m = slope, c = constant

Given: y = -3, m = 1/8

Substitute into formula

(y - intercept occurs when x = 0)

-3 = 1/8(0) + c

-3 = 0 + c

c = -3

y = 1/8x - 3

Answer:

below

Step-by-step explanation:

A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.

For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.

So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.

For question three: 3+9 = 12

And 12 is greater than 11, therefore this can make a triangle.

Answer:

m = 8

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

When any 2 lines are parallel, they will have the same slope but different y-intercepts.

∴ Our parallel line's slope will be 8.

Answer:

Consider a big number 3,400,000. To convert this number into scientific notation:

Place a decimal by counting the steps to the left until the coefficient of the number is between 1 and 9.

Count the number of steps moved. This will be the power of the base 10.

In this case, the coefficient is 3.4 and the 6 steps are moved.

Multiply the coefficient by 106,

Therefore, the answer is 3. 4 x 10 6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

Answers:

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

Explanation:

The relevant relationships are ...

  discount = (discount rate) × (original price)

  (sale price) = (original price) - discount

__

Putting these into one equation gives ...

  (sale price) = (original price) - (discount rate)×(original price)

Combining terms, yields ...

  (sale price) = (original price)×(1 -(discount rate))

This relation can be solved for either of the variables on the right:

  (original price) = (sale price)/(1 -(discount rate))

  (discount rate) = 1 -(sale price)/(original price)

or ...

  (discount rate) = discount/(original price)

Going back to the beginning, you have ...

  discount = (original price) -(sale price)

__

To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.

It's not rocket science. You see these calculations almost every time you go to the store.

_____

Additional comments

Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.

If you are the seller, the relations you typically see are ...

  (cost price) + (markup) = (selling price)

The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).

And another one is ...

  (markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage

Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.

__

Taxes are added on in the same way that discounts are subtracted:

  (final selling price) = (selling price) + (tax rate)×(selling price)

or

  (final selling price) = (selling price)×(1 +(tax rate))

Answer:

yes it is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

Answer:

x=3

y=11

Step-by-step explanation:

5x + 2y = 37

y = x + 8

5x+2(x+8)=37

5x+2x+16=37

7x=21

x=3

y = (3) + 8

y=11