MATHEMATICS HIGH SCHOOL

Someone please help <33

Answers

Answer 1

Answer:

Distribute

4x(2x^2-4x+5)-5x(2x+6)

8x^3-16x^2+20x-10x^3-30x

Combine Like Terms

8x^3-16x^2+20x-10x^3-30x

-2x^3-16^2+20x-30x

Combine like terms

-2x^3-16x^2 +20x-30x

-2x^3-16x^2-10x

Common factor

Factor by grouping

-2x^3 - 16x^2-10x

Find one factor

-2(x^3+8x^2+5x)

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

Your answer: -2x(5x^2+4x+5)

(Simplified = 10x^3 + 8x^2 + 10x)

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The amount of money that the borrower receives at the time a discounted note is made is known as the

Answers

It's the proceeds that are widely considered as the actual amount of money made that the borrower receives. Note that it's considered as that once the discounted note as been calculated and provided to the client who borrowed the money, too.

A group of employees bought a get-well gift for a co-worker. The gift cost $16.06. If there are 22 employees in the group, how much does each employee need to contribute?

Answers

The total amount each employee contributes to buy the gift is given by the equation A = $ 0.73

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the amount contributed by each employee be A

Now , the total amount for the gift = $ 16.06

The total number of employees = 22 employees

So , amount contributed by each employee A = total amount for the gift / total number of employees

On simplifying the equation , we get

The amount contributed by each employee A = 16.06 / 22

The amount contributed by each employee A = $ 0.73

Hence , the amount contributed by each employee is $ 0.73

To learn more about equations click :

brainly.com/question/19297665

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You would have to divide 16.06 by 22 to get the amount everyone chipped in which, by the way is: $0.73

a jet travels from Miami to London round trip. it takes 8 hours to get there and 7 hours to return home. the jets average air speed is 500 mph. What is the average speed of the wind

Answers

From the basic equation: distance = rate * time
From Miami to London (against the wind): distance = (500 - wind speed) * 8
From London to Miami (with the wind): distance = (500 + wind speed) * 7
Equating both gives:
(500 - wind speed) * 8 = (500 + wind speed) * 7
wind speed = 33.33 mph
The average speed of the wind is 33.33 mph.

A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the trip took 3 hours?

Answers

Answer:

Fisherman traveled 14.4 miles.

Step-by-step explanation:

A fisherman's downstream speed = 6 mph

and upstream speed = 4 mph

Let the fisherman traveled x miles he travels upstream.

Time spent in travelling x miles = $(x)/(4)$ hours [Since time = $\frac{\text{distance}}{\text{speed}}$ ]

Similarly when fisherman covers x miles down stream

Time spent in x miles = $(x)/(6)$ hours

Now total time in going upstream and downstream is 3 hours then

$(x)/(4)+(x)/(6)=3$

x $((3+2)/(12))=3$

$((5x)/(12))=3$

5x = 12×3

5x = 36

x = $(36)/(5)=7.2$ miles.

Since fisherman has traveled 2x distance so the answer will be 14.4 miles

Therefore, fisherman traveled 14.4 miles.

total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours
D = 3*12/5 = 36/5 or 7.2 miles
where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

Jorge lives 6/8 mile from school and 2/8 mile from a ballpark how much farther does Jorge live from school than from the balloark

Answers

he live 1/2 mile father from school than the ballpark

Solve for x. Express the answer in simplest form.
2/1= 8x-2/9

Answers

First, you put known numbers apart ( numbers without x ) and unknown numbers apart (numbers with x ), and of course don't forget that when you move a number from a part to another, his sign change, So you get:
$(2)/(1) = 8x - (2)/(9)$
$(2)/(1) + (2)/(9) = 8x$

Now, you need to have the same denominator so you can add 2/1 and 2/9. So, you multiply 2/1 by 9, so you get:
$(2*9)/(1*9) + (2)/(9) = 8x$
$(18)/(9) + (2)/(9) = 8x$

Then you add the 2 fractions and you get:
$(20)/(9) = 8x$

Now, you divide each term by 8, so you get:
$( (20)/(9) )/(8) = (8x)/(8)$

in $(8x)/(8)$ , you removed 8 and 8 and you get x, so you get:
$( (20)/(9) )/(8) = x$

as you know, 8 = 8/1, and when you got a division of 2 fractions, you multiply the first by the inverse of the second, which means you get:
$(20)/(9) * (1)/(8) = x$

And now you multiply, so you get:
$(20*1)/(9*8)$
$(20)/(72)$

20 and 72 have a common factor, so you divide each by 4, and you get:
$(20/4)/(72/4)$
$(5)/(18)$

So, $x = (5)/(18)$

Hope this Helps! :D

2/1= 8x-2/9
2= 8x-2/9
18=72x-2
20=72x
x=20/72
x= 5/18

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