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3 years ago

Write an equation for a rational function with:

Mathematics

1 answer:

katrin [286]3 years ago

3 0

Answer:

Step-by-step explanation:

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7

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Please help me 20 points (just the ones with circles)

Elena-2011 [213]

Answer:

1. 5 is a solution to the inequality

2. 8 is a solution to the inequality

3. q=20 is a possible solution to the inequality

4. t=28 is not a possible solution to the inequality

Step-by-step explanation:

1+f<7

subtract 1 from both sides of the inequality;

f<7-1

f<6

The value of f should therefore be strictly less than 6. From the alternatives given only the number 5 meets this condition and is thus a solution to the inequality.

g-3>4

add 3 to both sides of the inequality;

g>4+3

g>7

The value of g should therefore be strictly greater than 7. From the alternatives given only the number 8 meets this condition and is thus a solution to the inequality.

q-2>16

add 2 to both sides of the inequality;

q>16+2

q>18

The value of q should therefore be strictly greater than 18. Consequently, q=20 is a solution to the inequality since;

20>18

t-7<10

add 7 to both sides of the inequality;

t<10+7

t<17

The value of t should therefore be strictly less than 17. Consequently, t=28 is not a solution to the inequality since;

28 is not less than 17.

3 0

4 years ago

A city that had 7500 thousand people at the beginning of the year 2000 has been decreasing by 3.6% per year. a. What is the 1-ye

storchak [24]

Answer:

Step-by-step explanation:

a) if the population at the beginning of the year 2000 was 7500 people,

The 1-year percent change in the city's population would be

3.6/100 × 7500 = 270

b) The population after 1 year is

7500 - 270 = 7230

The percentage of the previous value of the population to its new value for each year is

7230/7500 × 100 = 96.4%

c) the 1-year growth factor for the population of the city would be

(1 - 0.036)^1 = 0.964

d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be

g = 7500(1 - 0.036)^t

g = 7500(0.964)^t

5 0

4 years ago

A triangle has two sides of length 16 and 2. What is the smallest possible whole-number length for the third side?\

Nesterboy [21]

The smallest possible number for the third side would be 15

3 0

3 years ago

Explaining a Rule for Dividing Fractions

Harlamova29_29 [7]

Answer:

One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.

Step-by-step explanation:

Yeah

5 0

3 years ago

Read 2 more answers

Subtract and reduce

juin [17]

Your equation is the following:
11 7/7 - (-8 3/7)
the first step to solving this is to know that when there is a "-" sign in front of the parenthesis, you need to change the sign of each term in the parenthesis.
11 7/7 + 8 3/7
now, add the whole numbers and the fractional parts of the mixed numbers separately.
(11 + 8) + ( $\frac{7}{7} + \frac{3}{7}$ )
add the whole numbers together
19 + ( $\frac{7}{7} + \frac{3}{7}$ )
now add the fractions together
19 + 10/7
next, convert the improper fraction to a mixed number
19 + 1 3/7
now, you will write the mixed number as a sum of the whole number and its fractional part.
19 + 1 + 3/7
add the numbers together
20 + 3/7
finally, write the sum of the whole number and the fraction as a mixed number
20 $\frac{3}{7}$
let me know if you have any further questions
:)

8 0

3 years ago