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alexandr402 [8]
1 year ago
5

F(n) = n² – 3 g(n) = 4n - 1 Find f[g(1)]

Mathematics
1 answer:
SVETLANKA909090 [29]1 year ago
8 0

Answer:

f[g(1)]=6.

Explanation:

Given f(n) and g(n) defined below:

\begin{gathered} f\mleft(n\mright)=n^2-3 \\ g\mleft(n\mright)=4n-1 \end{gathered}

First, we evaluate g(1):

\begin{gathered} g\mleft(1\mright)=4(1)-1 \\ =4-1 \\ g(1)=3 \end{gathered}

Therefore:

\begin{gathered} f\mleft(g(1)\mright)=f\mleft(3\mright) \\ f\mleft(3\mright)=3^2-3 \\ =9-3 \\ =6 \end{gathered}

Therefore, f[g(1)]=6.

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Round the following numbers to the nearest 10. The numbers they have is 13,21,29
earnstyle [38]

Answer:

13: 10

21: 20

29: 30

Step-by-step explanation:

5 0
3 years ago
If a graph shows the function y=3x what are the coordinates of the intercepts
vladimir2022 [97]

Answer:

graph{3x+5 [-10, 10, -5, 5]}

x

intercept:  

x

=

−

5

3

 

y

intercept:  

y

=

5

Explanation:

For a linear graph, the quickest way to sketch the function is to determine the  

x

and  

y

intercepts and draw a line between the two: this line is our graph.

Let's calculate the  

y

intercept first:

With any function,  

y

intercepts where  

x

=

0

.

Therefore, substituting  

x

=

0

into the equation, we get:

y

=

3

⋅

0

+

5

y

=

5

Therefore, the  

y

intercept cuts through the point (0,5)

Let's calculate the  

x

intercept next:

Recall that with any function:  

y

intercepts where  

x

=

0

.

The opposite is also true: with any function  

x

intercepts where  

y

=

0

.

If we substitute  

y

=

0

, we get:

0

=

3

x

+

5

Let's now rearrange and solve for  

x

to calculate the  

x

intercept.

−

5

=

3

x

 

−

5

3

=

x

Therefore, the  

x

intercept cuts through the point  

(

−

5

3

,

0

)

.

Now we have both the  

x

and  

y

intercepts, all we have to do is essentially plot both intercepts on a set of axis and draw a line between them

The graph of the function  

y

=

3

x

+

5

:

graph{3x+5 [-10, 10, -5, 5]}



3 0
3 years ago
Simply the equation 3m + ( m + 5 )
Elena L [17]

Answer:

4m+5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The angle measurements in the diagram are represented by the following expressions.
nataly862011 [7]

Answer:

x=10

A = 84

Step-by-step explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

  = 50+34

A = 84

7 0
3 years ago
Read 2 more answers
The Parent Association (PA) is ordering caramel apples.
harina [27]

Answer:

1000 caramel apples

Step-by-step explanation:

20 caramel apples in 1 box and 50 boxes so it will be 20×50

7 0
2 years ago
Read 2 more answers
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