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Anastasy [175]
3 years ago
12

Use a number line to find each product 5(-2/3)=

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

\frac{-10}{3}

Step-by-step explanation:

5(\frac{-2}{3})

=(\frac{5}{1}) (\frac{-2}{3})

=\frac{(5)(-2)}{(1)(3)}

=\frac{-10}{3}


So therefore, that is how you found your answer: \frac{-10}{3}

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Using synthetic division, find (x^4 − 2) ÷ (x + 1).
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-1 | 1 ... 0 ... 0 ... 0 ... -2
... | ...... -1 .. 1 ... -1 ... 1
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... | 1 ... -1 .. 1 ... -1  |  -1

In other words,

\dfrac{x^4-2}{x+1}=x^3-x^2+x-1-\dfrac1{x+1}
6 0
3 years ago
Gum is packaged in a square-based pyramid shaped box with a distance of 6 cm from the center of the base to the sides and a heig
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PLEASE ANSWER THIS MATH QUESTION FOR THOSE MATH LOVERS :)
viva [34]

Remark

The general formula for these types of questions is

(x1 + k(x2 - x1) ) , (y1 + k(y2 - y1))

<u>Problem 1 -- Point G</u>

Givens

(x1,y1) is the starting point which in this case is (-3, -3)

(x2,y2) is the ending point which in this case is (6 , -3)

k = 1/4

Sub and solve

(-3 + 1/4(6 - - 3), - 3+ 1/4(- 3 - - 3)

(-3 + 1/4(9) , - 3 + 1/4 (-3 + 3)

(-3 + 9/4, -3 + 1/4(0) )

(-12/4 + 9/4 , -3)

(-3/4 , - 3) Answer

<u>Problem 2 Point F Much harder</u>

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(x1,y1) = (-3 , -1)

(x2,y2) = (6, - 3)

k = 3/4

Sub and solve

(-3 + 3/4(6 - - 3) , -1 + 3/4(-3 - - 1) )

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( 15/4 , - 10/4) <<<<<< Answer Part B

4 0
3 years ago
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4 0
3 years ago
A principal of $4700 was invested at 4.75% interest, compounded annually.
Kitty [74]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

y = P(1 + r/n)^nt

Where

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n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested

From the information given,

P = $4700

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n = 1 because it was compounded once in a year.

Therefore, the exponential function showing the relationship between y and t is

y = 4700(1 + 0.0475/1)^1 × t

y = 4700(1.0475)^t

7 0
3 years ago
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