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denpristay [2]
3 years ago
6

Let f(x) = 5x − 6. Simplify each of the following expressions.

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

Explanation:

in each of the following substitute x with the variables in the bracket.

f(a) = 5x - 6

= 5a - 6

f(a+h) = 5 (a + h) - 6

= 5a + 5h - 6

f(a+h) - f(a) = (5a + 5h - 6) - (5a - 6)

= 5a + 5h - 6 - 5a + 6

= 5h

(as the 5a's and 6's cancel each other out.)

f(a+h) - f(a)/h = 5a + 5h - 6 - ((5a - 6)÷h)

take l.c.m

= <u>(5ah + 5h^2 - 6h - 5a + 6)</u>

h

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A single card is drawn from a standard 52-card deck. find the conditional probability that the card is a club, given that it is
Ghella [55]

The probability of getting a Club given that the card is a Ten is 0.25.

According to the statement

we have given that the there is a deck of the 52 cards and we have to find the conditional probability that the card is a club and the given card is a 10 number card.

So, For this purpose we know that the

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And according to this,

The probability P is

P(Club) = 13/52 = 1/4

P(Ten) = 4/52 = 1/13

P(Club and Ten) = (1/4)(1/13) = 1/52

And we know that the

P(Club|Ten) = P(Club and Ten)/P(Ten)

And then substitute the values and it become

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4

= 0.25

So, The probability of getting a Club given that the card is a Ten is 0.25.

Learn more about probability  here

brainly.com/question/24756209

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6 0
2 years ago
PLEASE ASAP HELPPPP PICK THEM ALL!!
cupoosta [38]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP DUE SOON!! WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!
Svetradugi [14.3K]

Answer:

y=2, y=12

Step-by-step explanation:

y = |-2-3|+|-2+2|-|-2+5|

y = 5+0-3

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or you can try

y=12

8 0
3 years ago
Solve the simultaneous equation<br>x + y = 4,<br>3x + y = 8​
worty [1.4K]

Answer:

x=2, y=2

Step-by-step explanation:

x+y=4

3x+y=8

3x-x=4

2x=4

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7 0
3 years ago
I need help with 5 and 6!I WILL MARK YOU BRAINLIEST!!!
AURORKA [14]

Answer:

5 right triangle

6 not a right triangle

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

5^2 + 12^2 = 13^2

25+144 = 169

160 = 169

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15^2 +16^2 = 18^2

225 +256 = 324

481 does not equal 324

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5 0
3 years ago
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