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3 years ago

S=[E,F,G,H,J] identify the ways to select two members from s allowing the repetition

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer: There are 25 ways to select two members.

Step-by-step explanation:

Since we have given that

S={E,F,G,H,J}

Number of elements = 5

We need to select two members from S allowing the repetition.

We will use "Fundamental theorem of counting":

There are 5 choices for the first member.

There are 5 choices for the second member.

So, Number of ways would be

$5\times 5\\\\=25$

Hence, there are 25 ways to select two members.

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Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theres

shepuryov [24]

Answer:

Theresa's height is 60 inches

Step-by-step explanation:

The given parameters are;

The height of Paul = The height of Steve

Paul's height = $1\dfrac{1}{2}$ times Theresa's height - 16 inches

Steve's height = $1\dfrac{1}{3}$ times Theresa's height - 6 inches

Let 'T' represents Theresa's height, we have;

Paul's height = $1\dfrac{1}{2}$ ×T - 16

Steve's height = $1\dfrac{1}{3}$ ×T - 6

Paul's height = Steve's height

Therefore;

$1\dfrac{1}{2}$ ×T - 16 = $1\dfrac{1}{3}$ ×T - 6

$1\dfrac{1}{2}$ ×T - $1\dfrac{1}{3}$ ×T = 10

$#\dfrac{3}{2}$ ×T - $\dfrac{4}{3}$ ×T = 10

$\dfrac{1}{6}$ ×T = 10

T = 10 × 6 = 60

Theresa's height, T = 60 inches

5 0

2 years ago

180= 90+30+x? what is the value of x? make sure you give good reasoning

levacccp [35]

180=110 + x
-110. -110
70 = x

3 0

2 years ago

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The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

2 years ago

If f(x) =5x-25 and g(x) = (1/5)X+5, which expression could be used to verify g(x) is the inverse of f(x)

mina [271]

Answer:
f(g(x)) = x

Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
f(x) =5x-25
g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5((1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)

Hope this helps :)

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2 years ago

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Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00

xeze [42]

The answer is B. $140

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2 years ago

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