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Igoryamba
3 years ago
15

Could someone please help and explain this to me

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

Step-by-step explanation:

Four

Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.

More important, it tells you what to put in for x on the right.

f(z) would tell you to put z in for x anywhere there is an x on the right.

f(z)=2z+1. It is just a shorthand to tell you what to do on the right.

f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.

f(2) = 2(2) + 1

f(2) = 4 + 1

f(2) = 5

=================

Five

f(x) = -x - 5            The minus 4 is not going to change what you do.

f(-4) = -(-4) - 5        Wherever you see an x you put in a minus 4

f(-4) = 4 - 5

f(-4) = - 1

======================

Just so you know, consider a more complicated example

f(x) = 20x^3 + 7x^2 + 4x + 19

Where ever you see an x put in 2

f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19

f(2) = 20*8 + 7*4 + 4*2 + 19

f(2) = 160 + 28 + 8 + 19

f(2) = 215

Note x can be anything the question tells you it is.

f(5) means put a 5 in for every x.

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Answer:

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Step-by-step explanation:

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6 0
3 years ago
Using the given points and line, determine the slope<br><br> (0,32) and (100,212)
suter [353]
To solve for the slope given two lines, use the formula:

(y₂ - y₁)
----------
(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)

plug into corresponding places:


</span>(y₂ - y₁)         (212 - 32)     (180)
----------    =  -------------- = -------
(x₂ - x₁)         (100 - 0)       (100)


180/100 
is your slope

If you want simplified, it will be: 9/5

hope this helps


5 0
3 years ago
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have? Wh
svlad2 [7]
Let q and n represent the number of quarters and nickels respectively.

q=3n and .05n+.25q=1.6  These are the conditions in mathematical terms.

To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6  carry out indicated multiplication on left side

.05n+.75n=1.6  combine like terms on left side

.8n=1.6  divide both sides by .8

n=2, since q=3n

q=6

So Peggy had 2 nickels and 6 quarters.
3 0
3 years ago
What is the y in 10.3=0.6y
ollegr [7]
Hello, you would divide 10.3 by 0.6 to get 17.166 repeating. So y equals 17.166.

6 0
3 years ago
Para encher 2/5 de uma piscina são necessários 60.000 litros de água. Qual é a capacidade dessa piscina?
natali 33 [55]

Answer:

A capacidade dessa piscina é de 150.000 litros de água.

Step-by-step explanation:

A capacidade da piscina é de x.

Para encher 2/5 de uma piscina são necessários 60.000 litros de água.

Isto implica que:

\frac{2x}{5} = 60000

2x = 60000*5

x = \frac{60000*5}{2}

x = 150000

A capacidade dessa piscina é de 150.000 litros de água.

8 0
2 years ago
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