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Oduvanchick [21]
3 years ago
9

What is the equation for synthetic division

Mathematics
1 answer:
Paul [167]3 years ago
5 0
There isn't an equation, it is just a process.

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Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina
Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = \frac{2}{5} × ( A - 1600 )

The amount left in his saving account = \frac{1}{3} × A

Now, According to question

A - ( 1600 +  \frac{2}{5} × ( A - 1600 ) ) =  \frac{1}{3} × A

Or, A -  \frac{1}{3} × A = 1600 +   \frac{2}{5} × ( A - 1600 )

Or, \frac{2}{3} × A = 1600 + \frac{2}{5} × A - \frac{2}{5} × 1600

or,  \frac{2}{3} × A -  \frac{2}{5} × A = 1600 - 640

Or,  \frac{10 - 6 }{15} × A = 960

or,  \frac{4}{15} × A = 960

∴ A = \frac{960\times 15}{4}

I.e A = 3600

So, The amount in the saving account  is $3600

∵ , The amount spent on refrigerator = \frac{2}{5} × ( 3600 - 1600 )

Or,  The amount spent on refrigerator = \frac{2}{5} × 2000

I.e  The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0
3 years ago
What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​
Irina18 [472]

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

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

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

6 0
3 years ago
LOTS OF POINTS!!!! look at pic
Varvara68 [4.7K]

Answer:

2x+6-(x^2+6x+9)*pi

Step-by-step explanation:

2*(x+3) - (x+3)^2*pi

2x+6-(x^2+6x+9)*pi

um I think there are answer choices so I don't know if I have to keep going but that should be right

3 0
2 years ago
Diego is making a circular table. He is cutting the largest circle possible from a piece of square wood with sides 6 feet long.
Flauer [41]
Area of wood = 6x6 = 36
area of circle = 3.14x9 = 28.26
left over = 36 - 28.26 = 7.74
3 0
3 years ago
What is the value of x? <br> sin(x+21)°=cos(2x+21)°
qaws [65]
We know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90°

in this problem
(x+21)+<span>(2x+21)=90-------> 3x+42=90-------> 3x=48-----> x=16</span>°
6 0
3 years ago
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