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3 years ago

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

A sequence can be an arithmetic sequence or geometric sequence or none.

The true statement is: (d) Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

<h3>How to determine the student with the correct terms</h3>

The first two terms of the sequence are given as: -5.5, 11

Assume the sequence is an arithmetic sequence, the next two terms would be 27.5, 44.

This is gotten by adding 16.5 (the common difference) to the current terms

Assume the sequence is a geometric sequence, the next two terms would be -22, 44.

This is gotten by multiplying the current terms by 2 (the common ratio)

The above means that: Both students are correct

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Y= -2x+ 4

irakobra [83]

First find x: y= -2x+4 so you take that and substitute it into your second equation -x+3(-2x+4)=-9 ---> -7x+12=-9 ---> -7x= 3 ---> x=-3/7
Now you can find y by substituting x: y=-2x+4 ---> y=-2(-3/7) +4 ---> y=

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4 years ago

Write an equation for a rational function that has a vertical asymptote at x=1 and a hole at x=3

loris [4]

(x-3)
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(x-3)(x-1) aka x^2 - 4x+ 3

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3 years ago

An author is paid $500 as an advance on their book plus an additional $4 for every book sold. If the author earns $880, how many

Ludmilka [50]

X will stand for every extra book sold

880 = 4x + 500
subtract 500 from both sides

380 = 4x
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x = 95
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3 years ago

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

agasfer [191]

Answer:

a. f(h) = 100 + mh and g(h) = 100 + 2mh

b. The slope of g(h) is double of slope of f(h).

c. f(x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f(h) represents the cost of renting the tractor for h hours, then

f(h) = 100 + mh .......... (1)

If the hourly rate is doubled i.e. 2m, then the function g(h) represents the cost of renting the tractor for h hours, then

g(h) = 100 + 2mh ........... (2)

b. If we graph the function f(h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g(h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g(h), the slope will be double the slope of f(h).

c. If the tractor is rented for x hours, then the function f(h) will be

f(x) = 100 + mx. (Answer)

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4 years ago

Which term describes the red curve in the figure below?

Dafna11 [192]

Answer: C circle

Step-by-step explanation:

After the cross section effect, a circle was formed and you can see that by looking at the red circle.

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4 years ago