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2 years ago

F(x)=x2

Mathematics

2 answers:

ehidna [41]2 years ago

7 0

Answer:

x²-6x+9

Step-by-step explanation:

f(x) = x²

g(x) = x-3

f(g(x)) = (x-3)²

=(x-3) (x-3)

= x²-3x-3x+9

= x²-6x+9

Paraphin [41]2 years ago

7 0

Answer:

$f(x) = {x}^{2} \\ g(x) = x - 3 \\ f(g(x) = f(x - 3) = {(x - 3)}^{2} \\ = {x}^{2} - 2 \times x \times 3 + {3}^{2} \\ = {x}^{2} - 6x + 9 \\ thank \: you$

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There are 21 students in a class. The median age of the students is 23. The oldest student is 29.

Varvara68 [4.7K]

Answer:

1) At least one (the 11th) student is 23 (years old), Must be true

2) Some students are younger than 15 Could be true

Step-by-step explanation:

1) The given parameters are;

The number of student in the class = 21

The median age of the student = 23

The age of the oldest student = 29

Therefore, given that the median age = The age of the (n + 1)/2 th student

Where;

n = The number of student in the class = 21

∴ The median age = The age of the (21 + 1)/2 th = 11 th student, when the age of the students are arranged in increasing order, therefore, we have;

At least one (the 11th) student is 23 (years old), Must be true

2) Given that there are 10 students with ages equal to or lower than the median age, and the difference between the median age and the age of the oldest student = 29 - 23 = 6 years, we have;

Some students are younger than 15 Could be true

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3 years ago

Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box.

maw [93]

Base on the question that said to write the letter of the statement or the reason in the said numbers in the question, and in my further analysis and research, the following are the answers:
Statements:
#1 C. x=15
#2 G. 3x-12=33
#3 L. 3x=45
#4 O. 3x+0=45
#5 s. 3(x-4)=33

Reasons:
#1 R. Given
#2 F. Subtraction Property of Equality
#3 I. Division Property of Equality
#4 E. Addition Property of Equality
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3 years ago

A line is perpendicular to y = {2/3x + 2/3}

Anna35 [415]

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives c = 1.

Hence the answer is y = (-3x/2) + 1

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2 years ago

The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what

harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

$\mu=25,\sigma=4,x_1=20,x_2=30$

The z-score formula is given by

$z-\text{score}=\frac{x-\mu}{\sigma}$

For $x_1=20$

$z_1=\frac{20-25}{4}\\\\z_1=-1.25$

For $x_2=30$

$z_2=\frac{30-25}{4}\\\\z_2=1.25$

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%

6 0

3 years ago

Read 2 more answers

(1 2/7-3/14)/8/15trying to remember how to do this

SOVA2 [1]

We will write it as a fraction in ordet to solve, that is:

$\frac{(1\frac{2}{7}-\frac{3}{14})}{(\frac{8}{15})}$

We then operate as follows:

$\frac{((\frac{7}{7}+\frac{2}{7})-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{9}{7}-\frac{3}{14})}{(\frac{8}{15})}\Rightarrow\frac{(\frac{15}{14})}{(\frac{8}{15})}\Rightarrow\frac{15\cdot15}{14\cdot8}\Rightarrow\frac{225}{112}$

We have this, since 1 integer will be equal as a numerator divided by a denominator with equal values. Examples 1 = 2/2, 1 = 45/45, ...

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1 year ago