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Hitman42 [59]
3 years ago
14

Which function is a linear function a. 1-3x^2 b. y+7=5x c. x^3 + 4 = y d. 9(x^2-y) = 3 e.y-x^3=8

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

b. y+7=5x

Step-by-step explanation:

a. 1-3x^2     is a quadratic

b. y+7=5x    is a linear function:  y = 5x - 7

c. x^3 + 4 = y   is a cubic function

d. 9(x^2-y) = 3    is a quadratic function

e.y-x^3=8   is a cubic function

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
In the diagram below of triangle PQR, S is the midpoint of PR and T is the
Nina [5.8K]

Answer:

ST = 4

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.

ST = \frac{1}{2} PQ substitute values

- 32 + 9x = \frac{1}{2} (- 5x + 28) ← multiply both sides by 2 to clear the fraction

- 64 + 18x = - 5x + 28 (add 5x to both sides )

- 64 + 23x = 28 ( add 64 to both sides )

23x = 92 ( divide both sides by 23 )

x = 4

Then

ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4

5 0
2 years ago
A honeybee can carry 40 mg of nectar. How many grams can a honeybee carry? Help!
alex41 [277]
125 grams
is the answer
8 0
2 years ago
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What is the slope of the line described 16x = 4y + 1​
Dvinal [7]

Answer: The slope is 4x.

Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.

4 0
3 years ago
What is the surface area of this design?
vichka [17]

Answer:

280in

Step-by-step explanation:

10×6=60

60×2=<u>120</u>

6×10=<u>60</u>

4×4=16

16×2=<u>32</u>

4×6=<u>24</u>

4×4=<u>16</u>

6×6=<u>36</u>

<u>120+60+32+24+16+36=280</u>

<u />

4 0
3 years ago
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