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svp [43]
3 years ago
6

The quotient is ?? The remainder is ??

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

The quotient is 10x + 16

The remainder is 28x² + 10x + 22

Step-by-step explanation:

x³ - 3x² + x - 2) 10x⁴ - 14x³ - 10x² + 6x - 10 (10x + 16

                      <u>  10x⁴ - 30x³+ 10x² - 20x </u>

                                16x³ - 20x² + 26x - 10

                                <u>16x³ - 48x² + 16x - 32</u>

                                          28x² + 10x + 22

Therefore, the quotient is 10x + 16

The remainder is 28x² + 10x + 22

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Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th
True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0
3 years ago
Determine whether y varies directly with x. If so, find the constant of variation and write the equation.
kotykmax [81]

Answer: B. No

Step-by-step explanation:

Direct variation has the following form:

y=kx

Where the constant of variation is "k".

By definition, in direct variation, when the variable "x" changes, tha variable "y" changes in proportion to the variable "x".

As you can observe in the table, when the value of the variable "x" increase, the values of the variable "y" decrease, therefore we can conclude that it is not a direct variation.

Then the answer is the option B.

6 0
3 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
dedylja [7]

The height of the model is 6.1 inches.

If 1 inch represents 50 feet, to find the answer, divide 305/50.

the answer is 6.1 inches.

Hope this helps, and have a fantastic day.

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3 years ago
Help Plzz 40 points!! Solve<br><br> 5= 1/5x -3<br><br> ENTER ANSWER PLZZ THANKS!!
NeTakaya

Answer:

x = 40

Step-by-step explanation:

5= 1/5x -3

Add 3 to each side

5+3= 1/5x -3+3

8 = 1/5x

Multiply by 5 to isolate x

5*8 = 1/5x *5

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5 0
3 years ago
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Answer:

-6-4=4x-2x

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3 years ago
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