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3 years ago

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Mathematics

2 answers:

dalvyx [7]3 years ago

6 0

Answer: the fourth option; all the real values except x = 7 and the x for which f(x) = - 3

Explanation:

1) the composed function (g ° f) )x= is the application of the function g (x) to the function f(x), this is you first apply f(x) and then apply g(x): g [f(x) ]

2) So the domain is the set of values for which f(x) is defined and then those values of f(x) for which g(x) is defined.

3) The values of x for which f(x) is defined is all the real values except x = 7.

4) The values of f(x) for which g(x) is defined are all the values of f(x) except f(x) = - 3.

5) So, the domain of the composed function is all the real values except x = 7 and the x for which f(x) = - 3

6) Important remark: notice that there is an error in the statements listed, because saying that the domain is all the real values except x ≠ 7 and f(x) ≠ - 3 means that tha domain is only x = 7 and f(x) = - 3, when what they meant was that the composed function is not defined for x = 7 and f(x) = - 3 (this is a bad use of double negation which is a good expample of why double negation must be avoided).

adell [148]3 years ago

6 0

I dont think its a corrent question, wither f (x) or g (x) should have been range not domain.

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If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.

anastassius [24]

Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-> If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than two-thirds of my number.

-> 3(n + 12) = 64 more than $\frac{2n}{3}$

-> 3(n + 12) = 64 + $\frac{2n}{3}$

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 + $\frac{2n}{3}$

[Distribute]

3n + 36 = 64 + $\frac{2n}{3}$

[Multiply both sides by 3]

9n + 108 = 192 + 2n

[Subtract 108 and 2n from both sides]

7n = 84

[Divide both sides by 4]

n = 12

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0

3 years ago

-7m²-10m+17 common factor

kicyunya [14]

Answer:

Greatest common factor of 17

So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

- (m - 1 )( 7m + 17 )

6 0

3 years ago

Divide (-3x^2 - 9x) ÷ (x + 3) please explain/show work! <33

Stolb23 [73]

Step-by-step explanation:

 $( - 3 {x}^{2} - 9x) \div (x + 3)$ 

This is the original equation so you will open the brackets.

 $- 3 {x}^{2} - 9x \div x + 3$ 

The x will cross the division sign making it times x.

 $3 {x}^{2} - 9x \times x = 3$ 

So you will proceed to multiply the 9x by x making it;

 $3 {x}^{2} - 9 {x}^{2} = 3$ 

So you will subtract 9x² from 3x² which won't be possible so it will be negative.

 $- 6 {x}^{2} = 3$ 

Then you will square root both sides making it;

 $- \sqrt{6 {x}^{2} } = \sqrt{3}$ 

So the ² will cancel the √ leaving 

-6x=√3

-6x=1.73(Divide both sides by -6)

x=0.288

That's the final answer.

8 0

3 years ago

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of

Harlamova29_29 [7]

The standard deviation for the number of seeds germinating in each batch is 1.3

Solution:

In binomial distribution, standard deviation is given as:

$\sigma=\sqrt{np(1-p)}$

Where "n" is the number of observations

"p" is probability of getting success

We are given that:

Total batches of seed = 8

Probability that a radish seed will germinate is 0.7

Here success is getting radish seed germinated

Then, the standard deviation for the number of seeds germinating in each batch.

Plugging in values in formula, we get

$\sigma=\sqrt{(8)(0.7)(1-0.7)}\\\\=\sqrt{(8)(0.7)(0.3)}\\\\=\sqrt{1.68}\\\\=1.29614\approx1.3$

Therefore the standard deviation for the number of seeds germinating in each batch is 1.3

3 0

3 years ago

Solve the system of equations by substitution. What is the product of x and y from the solution? 2x + 3y = 12 5x − y = 13

Darina [25.2K]

2x + 3y = 12 (1st)

5x − y = 13 (2nd) ---> y = 5x - 13

Substitute y = 5x - 13 into (1st) equation

2x + 3(5x - 13) = 12

2x + 15x - 39 = 12

17x - 39 = 12

17x = 51

x = 3

substitute x = 7 into y = 5x - 13

y = 5x - 13

y = 5(3) - 13

y = 15 - 13

y = 2

Answer

solution x = 3 and y = 2

5 0

3 years ago