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Oxana [17]
3 years ago
8

The following set of ordered pairs is an example of direct variation, find the constant ratio between the variables. (Hint: Find

k.)
(2, 4) (5, 10) (7, 14) (11, 22)

A. k=2
B. k=8
C. k=-2
D. k= 1/2
Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0
Use formula y = k x and find value of k using any of the coordinates
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Find the domain of the following graph:
sukhopar [10]

Answer:

-7

Step-by-step explanation:

The domain is the set of all x-values. We can find the domain by finding the left boundary of the graph (the furthest left x-value) and then the right boundary (the furthest right x value).

The furthest left x-value is -7. Notice it has a large open circle here that is not filled in. This means the function does not include -7 but includes numbers very close to it like-6.999999..... We sue use an inequality sign without an equal to to write -7. x >-7.

The furthest right x value is 9. It has a closed circle or "filled in" circle so we write with an equal to sign. x\leq 9.

We combine the two into -7.

3 0
3 years ago
Thirteen people on a softball team show up for a game. a)How many ways are there to choose 10 players to take the field? b)How m
marishachu [46]

Answer:

a) 286

b) 1,037,836,800

c) 285

Step-by-step explanation:

a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

C(13,10)=\frac{13!}{(13-10)!10! } \\C(13,10)=\frac{13*12*11*10!}{(3*2*1)10! }\\C(13,10) = 286

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

P(13,10) = \frac{13!}{(13-10)!}\\P(13,10) = 13*12*11*10*9*8*7*6*5*4\\P(13,10) =1,037,836,800

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

P=286-1 =285

6 0
3 years ago
5601 in scientific notation
Anna007 [38]
5.601 x 10^3

Hope that helped!
8 0
3 years ago
a block has two red sides, two green sides, one blue side and one yellow side what is the probability that when the block is rol
olga55 [171]

Answer:

2/6

Step-by-step explanation:

There are 6 sides, and two are green. That makes it 2/6

8 0
3 years ago
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Rafael needs to drive 16 miles to work.so far, he has driven 4.1 miles.How many more miles must he drive
Anon25 [30]
11.9 miles. 16-4.1=11.9
6 0
2 years ago
Read 2 more answers
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