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2 years ago

HELP ASAP!! Please will give branliest if correct! :)

Mathematics

1 answer:

Kitty [74]2 years ago

8 0

Look at each of the points. Specifically note the y coordinate of each point.

The points are (1,4), (2,6), (3,8) and (4,10)
The y values of those points are: 4, 6, 8, 10

Therefore, the sequence is: 4, 6, 8, 10
The values will go in the boxes in that order

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Enter the explicit rule for the sequence

Softa [21]

Let's take a look at the first few numbers in the sequence based on the given rule:

$a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)$

Inspecting this pattern it seems like the power $\frac{1}{4}$ is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be $\big(\frac{1}{4} \big)^{n-1}$ . We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

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3 years ago

Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes

Setler79 [48]

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

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2 years ago