Can someone explain this better then my teacher?

Carlos find the absolute value of -5 3/10 and then find is the opposite of his answer Jason finds the opposite of -5 3/10 and th

a_sh-v [17]

we know that

$5 \frac{3}{10}= \frac{5*10+3}{10} = \frac{53}{10}$

Step 1

Carlos's method

1) Find the absolute value of $-\frac{53}{10}$

$\left|-\frac{53}{10}\right|=\frac{53}{10}$

2) Find the opposite

$opposite=-\frac{53}{10}$

Step 2

Jason's method

1) Find the opposite of $-\frac{53}{10}$

$opposite=\frac{53}{10}$

2) Find the absolute value

$\left|\frac{53}{10}\right|=\frac{53}{10}$

Step 3

Compare the answers

$\frac{53}{10} > -\frac{53}{10}$

therefore

The answer is

The greater value is obtained with the method of Jason

4 0

3 years ago

Please help! functions operations.

Zielflug [23.3K]

The Answer is A. 3. :D

3 0

3 years ago

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On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult

spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

8 0

3 years ago

What is the equation of the line that is parallel to the line y=2x+3 and passes through the point (-2,1)

Lerok [7]

Answer:

y= 2x+5

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Hence m=2.

Subst. m=2 into the equation:

y=2x +c

Now substitute a coordinate.

When x= -2, y=1,

1= 2(-2) +c

1= -4 +c

c= 1 +4

c=5

Thus, the equation of the line is y= 2x +5.

3 0

2 years ago

Complete the statements about the key features of the graph of f(x) = x5 – 9x3. As x goes to negative infinity, f(x) goes to neg

Mars2501 [29]

The function is $f(x)= x^{5} -9x ^{3}$

1. let's factorize the expression $x^{5} -9x ^{3}$ :

$f(x)= x^{5} -9x ^{3}= x^{3} ( x^{2} -9)=x^{3}(x-3)(x+3)$

the zeros of f(x) are the values of x which make f(x) = 0.

from the factorized form of the function, we see that the roots are:

-3, multiplicity 1
3, multiplicity 1
0, multiplicity 3

(the multiplicity of the roots is the power of each factor of f(x) )

2.
The end behavior of f(x), whose term of largest degree is $x^{5}$ , is the same as the end behavior of $x^{3}$ , which has a well known graph. Check the picture attached.

(similarly the end behavior of an even degree polynomial, could be compared to the end behavior of $x^{2}$ )

so, like the graph of $x^{3}$ , the graph of $f(x)= x^{5} -9x ^{3}$ :

"As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity. "

7 0

3 years ago

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