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2 years ago

If NO = 17 and NP = 5x -6, find the value of x. Then find NO and OP.

1 answer:

7 0

Well lets assume that NO = NP. If this is the case then 17 = 5x - 6. We then want to solve for x. So add 6 to each side, this equals 23 = 5x. I do not know if it is suppose to be a decimal, but I will do it anyway. Divide 23 by 5 which is 4.6. So x = 4.6. Now plug this into x. So NO = 17 and NP = 17. This is the only way I see possible to solve this problem. Let me know if it was correct please.

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What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -

fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0

2 years ago

Mr. Trager has $600.00 to spend at a bicycle store

Snowcat [4.5K]

Answer:

Step-by-step explanation:

Total money = $600

Bicycle cost = $253.98

3 bicycle reflector = 3×$7.5 =$22.5

Bicycle helmet = $42.36

Total money spent will be equal to the = $(253.98+22.5+42.36)

= $318.84

Amount remaining = $(600-318.84)

= $281.16

The number of outfit he can get at $78.12 = $281.16/78.12 = 3.60

He can get 3 outfit and have $0.60

Left

7 0

2 years ago

Read 2 more answers

The function y=log(x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?

SVEN [57.7K]

Given the function $y=\log x.$

1. Translation to the right 1 unit changes the function $y=\log x$ into the function $y=\log (x-1).$

2. Translation 2 units down changes the function $y=\log (x-1)$ into the function $y=\log (x-1)-2.$

3. Two translations change the funcion $y=\log x$ into the function $y=\log (x-1)-2.$

4. The graph of the final function you can see in attached diagram.

5 0

2 years ago

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Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

Inessa [10]

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

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2 years ago

Mary has some boxes that are all cubes of the same size she uses 5 of the boxes to make a tower with a height of 115 cm she puts

liberstina [14]

Answer:

161 centimeters

Step-by-step explanation:

To find the total height, we need to find the wait of each individual box. Since we have five boxes stacked up on each other with a height of 115, we can divide 115 by 5 to get 23. Now that we know that each box is 23 centimeters tall, we can multiply that by 2 because 2 more boxes were added, and then add that to 115.

115/5=23

23*2=46

46+115=161

Hope this helps!

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2 years ago

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