If f(x)=|3x-4|+2, find f (-10)

Answers

Answer 1
Answer: f(x)=|3x-4|+2\n\n\nf(-10)=|3\cdot(-10)-4|+2=|-30-4|+2\n\n=|-34|+2=34+2=36
Answer 2
Answer: f(x)=|3x-4|+2\n \n f (-10)=|3\cdot(-10)-4|+2=|-30-4|+2=|-34|+2=36

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How do you solve this using additional method elimination 3x + y = 17 4x - y = 18

What is the length of stack E F with bar on top ? Round to the nearest tenth of a unit.A.

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Answers

the answer you are looking for is 6.4

Answer:

6.4

Step-by-step explanation:

4a² - 25? little help? Can you show me the steps to gets the answer? Thanks!

Answers

4a² - 25

= (2a)² - 5²

= (2a+5)(2a-5)        since a² -b² = (a+b)(a-b)
This is simply a difference of squares. To factor this, you simply take the square roots of the leading coefficient and the C term. Thus you get 2 and 5. As a pair of factors, it is simply (2a+5)(2a-5). If you actually need to solve this, you can set either the factors or the original equation equal to 0.

a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip

Answers

Answer:

35

Step-by-step explanation:

7-3= 4

7*6*5 = 210

3*2 = 6

210/6 = 35

Took the test this is the correct answer

Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

What is the geometric mean of 50 and 8?

Answers

Answer: a = 8 b= 50.

Step-by-step explanation:

How many different 12 member juries can be chosen from a pool of 25 people?

Answers

Answer: 5200300

Step-by-step explanation:

Given: Total number of people = 25

The number of  member juries can be chosen from a pool of 25 people= 12

To calculate combinations, we use the formula as :-

^nC_r = (n!)/(r!(n-r)!), where n represents the total number of items, and r represents the number of things being chosen at a time.

Now, the number of different 12 member juries can be chosen from a pool of 25 people is given by :_

^(25)C_(12) = (25!)/(12!(25-12)!)\n\n=(25!)/(12!13!)=5200300

Hence, the number of different 12 member juries can be chosen from a pool of 25 people is 5200300.

A formula for the number of possible combinations or r objects from a set of n objects is 
nCr =  (n!)/(r!(n-r)!)
where n is 25 and r is 12. The number of ways is 5,200,300.

One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers

Answers

The equation is solved and the two numbers are x = 7 and y = 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let's call the first number "x" and the second number "y"

x = y - 5 (the first number is 5 less than the second number)

2y = 4x - 4 (twice the second number is 4 less than 4 times the first)

We can use substitution to solve for one of the variables.

Substituting the first equation into the second equation, we get:

2y = 4 (y - 5) - 4

Simplifying this equation , we get

2y = 4y - 24

2y - 4y = -24

-2y = -24

y = 12

Now that we know that the second number is 12, we can use the first equation to find the first number:

x = y - 5

x = 12 - 5

x = 7

Hence , the two numbers are 7 and 12

To learn more about equations click :

brainly.com/question/19297665

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Answer:

9 and 14

Step-by-step explanation:

One number is 5 less than a second number.

a = b - 5

:

Twice the second number is 8 less than 4 times the first.  

2b = 4a - 8

replace a with (b-5)

2b = 4(b-5) - 8

 

2b = 4b - 20 - 8

2b - 4b = -28

-2b = -28

b = 14

then

a = 9