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gavmur [86]
3 years ago
8

(z^4+z^2-2)÷(z+3) please help

Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer: z^3 - 3z^2 + 10 z - 30

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Write each number in word form and short form<br>9) 543,698<br>10) 45,987,159.9​
Gemiola [76]

Answer:

9) five hundred and forty three thousand, six hundred and ninety-eight

500,000 + 40,00+ 3,000+ 600+ 90+ 8 = 543,698

10)forty-five million nine hundred eighty-seven thousand one hundred fifty-nine and nine tenths

40,000,000 + 5,000,000 + 900,000 + 80,000 + 7,000 + 100 + 50 + 9 + 0.9 = 45,987,159.9

8 0
3 years ago
The graph of a linear function passes through the point (-1, 2) and has a slope of 3. What is the equation of the function in sl
Harman [31]

Answer:

The equation of the function in slope-intercept form is y = 3 x + 5 .

Step-by-step explanation:

Given as :

A line passes through the point ( - 1 , 2 )

i.e ( x , y ) = ( - 1 , 2 )

The slope of the line is 3

The equation of line in slope intercept form

y - \textrm y_1 = m ( x - \textrm x_1 )

Where m is the slope of the line

So, y - 2 = 3 ( x - ( - 1 ) )

Or, y - 2 = 3 ( x + 1 )

Or, y - 2 = 3 x + 3

Or, y = 3 x + 3 + 2

∴   y = 3 x + 5

Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer

8 0
3 years ago
Lisa has a recipe that needs 3 fourths of a teaspoon of butter for every 3 cups of milk. If Lisa increases the amount of milk to
vfiekz [6]
1.25 teaspoon of butter per 5 cups of milk
3/4 tsp butter = 3 cups milk
5/4 tsp butter = 5 cups milk
6 0
4 years ago
Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist
Novosadov [1.4K]
S = d/t

st = d

t = d/s

The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0   or   c - 3 = 0

c = -3   or   c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.
7 0
4 years ago
Read 2 more answers
Each employee in a company is either right-handed or left-handed.
Evgesh-ka [11]

Answer:

23 females are right handed and 9 are left handed

Step-by-step explanation:

So to get this answer :

18 OF THE 41 RIGHT HANDED EMPLOYEES ARE MALE.

The statement means that there are 41 right handed employees and 18 of those are male thus the remaining are FEMALE.

To find the number of right handed employees who are female just subtracted 18 from 41 ( becaus etotal number of right handed males is 18 and the total number of right handed employees is 41.)

SO 23 FEMALES IN THE COMPANY ARE RIGHT HANDED.

Because 23 females are right handed that means to get the number of left handed females you subtract the total number of right handed females from the total number of females in the company THUS:

32 - 23 = 9 LEFT HANDED FEMALES

HOPE IT HELPED

5 0
3 years ago
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