Please help me write this equation

on monday, 3/8 inch of snow fell. on tuesday, 5/8 inch of snow fell. write a statement that correctly compares the snow amounts.

Alex777 [14]

5/8 - 3/8 = 2/8. Tuesday had 2/8 more inches of snow fall. Hope this helps.

4 0

3 years ago

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago

On Monday, Sean bought 3 cookies and 5 cakes and spent $78.75. On Tuesday, Sean bought 8 cookies and 2 cakes and spent $40.

andreyandreev [35.5K]

Answer:

1 cookie = $1.25 1 cake = $15

Step-by-step explanation:

set up a system of equations:

let x = 1 cookie

let y = 1 cake

3x + 5y = 78.75

8x + 2y = 40

I multiplied the first equation by 2 to get: 6x + 10y = 157.50

I multiplied the second equation by -5 to get: -40x - 10y = -200.00

If you add both equations, the y-terms will be eliminated

-34x = -42.50

x = 1.25

Plug in 1.25 into equation to find value of y: 8(1.25) + 2y = 40

10 + 2y = 40

2y = 30

y = 15

6 0

3 years ago

Which is correct? 1, 2 , 3, or 4?

max2010maxim [7]

Answer:

i think its B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the slope intercept form of the equation of each line plz

soldi70 [24.7K]

Answer:

y = -11/6z - 6

Step-by-step explanation:

11z +6y = -36

-11z -11z

6y = -11z -36

----- ----- ----- divide by 6

6 6 6

y = - $\frac{11}{6\\}$ z -6

4 0

3 years ago

Please help me write this equation​

Please help me write this equation