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Anvisha [2.4K]
3 years ago
8

6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers?

Mathematics
2 answers:
lara [203]3 years ago
6 0
First 6.60 divided by 6 to find the unit rate. It is 1.10 dollars per eraser. You then do 1.10 times 3 which will get you 3.30 dollars for 3 erasers.
larisa86 [58]3 years ago
6 0

Answer with Step-by-step explanation:

We are given that:

6 erasers cost $6.60.

We have to find:

The cost of 3 erasers

Cost of 6 erasers =$ 6.60

Cost of 6/2 erasers= $6.60/2

i.e. cost of 3 erasers= $3.30

Equation which determine the cost of 3 erasers is:

Cost of 6/2(=3) erasers= $6.60/2=$3.30

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Given the function f(x) = 4x^2 - 17, find f (h+2).
forsale [732]

Answer:

B

Step-by-step explanation:

Substitute x = h + 2 into f(x), that is

f(h + 2)

= 4(h + 2)² - 17 ← expand factor using FOIL

= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify

= 4h² + 16h + 16 - 17

= 4h² + 16h - 1 → B

6 0
2 years ago
Read 2 more answers
Consider the following series. 1 9 1 18 1 27 1 36 1 45 Determine whether the series is convergent or divergent. Justify your ans
Vedmedyk [2.9K]

Answer:

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

Step-by-step explanation:

<u>Convergence of Infinite Series</u>

The series is given as the terms

1 , 9 , 1 , 18 , 27 , 1 , 36 , 1 , 45 ...

For a series to be convergent, the limit of the general term an when n goes to infinity must be 0. In such cases, the sum of all terms tends to a fixed value.

Our series has two clearly different sequences, which define it as a piecewise general term:

If n is odd, then

a_n=1

Otherwise, an is an arithmetic series starting from 9 with a common difference of 9, that is

a_n=9+9(n/2-1)=4.5n

if n is even.

If we take the limit as n goes to infinity, we don't know which one should be selected, thus we must assume that any of them is a correct option, therefore both of them should converge.

The limit of the function

a_n=1

is 1 when n goes to infinity. Since it's not 0, this piece is not convergent and the entire series isn't either.

But it goes worse because of the limit of the second piece

a_n=4.5n

when n goes to infinity is infinite.

The answer is

<em>Diverges; the limit of the terms, an, is not 0 as n goes to infinity</em>

8 0
3 years ago
Could someone help me with this question
Lelechka [254]

Answer:

try b=32

Step-by-step explanation:

6 0
3 years ago
Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,
Sphinxa [80]

Answer:

  57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

  y = kx

It can be found from values of x and y using ...

  k = y/x

For the given values, it is ...

  k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

5 0
3 years ago
What are the solutions of the equation ( X -25 )^ 2 equals 36
fgiga [73]

Answer:

x = 31, x = 19

Step-by-step explanation:

(x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19

5 0
2 years ago
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