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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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Find the value of x in the triangle below
Tom [10]

Answer:

6.76

Step-by-step explanation:

applying pythogorem theorem

a^2+b^2=c^2

5^2+b^2=13^2

25+b^2=169

b^2=169/25

b^2=6.76^2

b=6.76

3 0
3 years ago
...yea i just need help (:
dsp73

Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

3 0
3 years ago
Read 2 more answers
B. What is the volume of the prism in cm3? Show your reasoning. If you
Anastaziya [24]

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

8 0
3 years ago
5. f(x) = 3x³ - 4x² +6x and g(x)=5x ³+ 2x²- 3x. What is f(x) - g(x)?
sasho [114]

Answer:

<h2>A. -2x³ - 6x² + 9x</h2>

Step-by-step explanation:

f(x)=3x^3-4x^2+6x\\\\g(x)=5x^3+2x^2-3x\\\\f(x)-g(x)=(3x^3-4x^2+6x)-(5x^3+2x^2-3x)\\\\=3x^3-4x^2+6x-5x^3-2x^2-(-3x)\qquad\text{combine like terms}\\\\=(3x^3-5x^3)+(-4x^2-2x^2)+(6x+3x)\\\\=-2x^3-6x^2+9x

8 0
3 years ago
Is 0.75 greater than 0.100?
Naya [18.7K]
Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one
8 0
3 years ago
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