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goldfiish [28.3K]
3 years ago
13

Which function below has the lowest y-intercept?

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).
If g(x) is a function defined by text:
<em>Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.
</em>Then, g(x) is given with:
g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).
h(x) is already given with:
h(x)=3*x+4
These all three functions are plotted in coordinate system (see the .jpeg image), and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).
See the .jpeg image in attachment.

butalik [34]3 years ago
8 0

Here is your answer:

g(x) = 6 \times x+3\\h(x)=3\times x+4\\\\

The lowest y-intercept has function g(x) with the value of three the others have four (h(x)) and five (f(x))which would mean that your answer is the second option "g(x)."

Hope this helps!

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Mr. Hartman, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs
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3 * 20s

Step-by-step explanation:

In order to find out how much Mr. Hartman will spend in total we first need to multiply the price of the keyboard and mouse by the number of computers in a single computer station. Once we have these products we add them together. Finally, we multiply this new value by 3 since there are a total of 3 computer stations. If we turn this into an expression it would be the following...

3 * (13.50s + 6.50s)

We can even simplify this by first adding the cost of the keyboard and mouse and then multiplying by s

3 * 20s

6 0
3 years ago
Lowest common multiple of 4 and 10
atroni [7]

Answer: 20


Step-by-step explanation:

2^2=4

5*2=10


2^2 and 5 would be multiplied

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you need to sell 60 cups

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5 0
3 years ago
Twenty different books are to be put on five book shelves, each of which holds at least twenty books.
olya-2409 [2.1K]

Answer:

(a) 10,626 different arrangements

(b) 95,367,431,640,625 different arrangements

(c) 2.5852017 × 10²² different arrangements

Step-by-step explanation:

(a) How many different arrangements are there if you only care about the number of books on the shelves (and not which book is where)?

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626 arrangements

(b) How many different arrangements are there if you care about which books are where, but the order of the books on the shelves doesn't matter?

Since the order of the books on the shelves does not matter,

The calculation is given as

5²⁰ = 95,367,431,640,625 arrangements

(c) How many different arrangements are there if the order on the shelves does matter?

Since order matters now

Step 1

We use the combination formula for this

C(n , r) = n + r - 1C r - 1

n = 20

r = 5

= 20 + 5 - 1 C 5-1

= 24C4

= 24!/4 ! × (24 - 4)

= 24!/4! × 20!

= 10,626

Step 2

We find the factorial of the number books

= 20!

= 2,432,902,008,176,640,000

Step 3

The different arrangements there are if the order on the shelves does matter is calculated

= 10,626 × 2,432,902,008,176,640,000

= 2.5852017 × 10²² different arrangements

8 0
3 years ago
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