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3 years ago

Are Functions 1 and 2 the same? Explain. Function 1: y = 3(x + 5) Function 2: y equals three times x, plus 5.

Mathematics

1 answer:

Molodets [167]3 years ago

7 0

Answer:

No, the functions are not the same.

Step-by-step explanation:

For function one you have to distribute the three to the x and the five which would give you a function of 3x+15.

This will result in different y-intercepts function one's why being 15 and function's two y-intercept being 5. Though the will have the same slope they are two different functions.

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A jeweler is dividing

Anuta_ua [19.1K]

Answer: OPTION D: $\frac{3}{32}$

Step-by-step explanation:

By definiton, fractions have the following form:

$\frac{a}{b}$

Where "a" is called numerator and "b" is the denominator. The numerator and the denominator are Integers.

In order to solve this exercise you need to remember de Division of fractions:

$\frac{a}{b}\div\frac{d}{e}=\frac{a}{b}*\frac{e}{d}=\frac{a*e}{b*d}$

In this case, according to the information given in the exercise, you know that $\frac{3}{8}\ lb$ of rubies are divided into 4 lots.

Therefore, in order to calculate the weight in pounds of each lot, you need to divide $\frac{3}{8}\ lb$ by 4.

Then, you get the following result:

$\frac{3}{8}\ lb\div4=(\frac{3}{8}\ lb) (\frac{1}{4})=\frac{3}{8*4}\ lb=\frac{3}{32} \ lb$

As you can notice, this result matches with the Option D.

5 0

2 years ago

A screwdriver is 20 centimeters long, and a piece of wire is 10 millimeters long. The screwdriver is how many times as long as t

Novay_Z [31]

Answer: 20 times

Step-by-step explanation:

Given: The length of piece of wire = 10 millimeters

The length of screwdriver = 20 centimeters

We know that 1 cm = 10 mm

Therefore, the length of screwdriver = $20\times10=200$ millimeters

The ratio of the length of screwdriver and length of wire is given by :-

$\frac{\text{length of screwdriver}}{\text{length of piece of wire}}=\frac{200}{10}=20$

The screwdriver is 20 times as long as the wire.

8 0

3 years ago

Read 2 more answers

If 1/5 of those in a high school are freshmen, and 40% of the freshmen are women, and 3/5 of those in the other grades are women

murzikaleks [220]

There are 264 male students in the high school containing 600 students.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

There are 600 students altogether, hence:

Number of freshmen = (1/5) * 600 = 120

Number of other graders = 600 - 120 = 480

Number of male freshmen = 120 - (0.4 * 120) = 72

Number of male other graders = (1 - 3/5) * 480 = 192

Total number of male = 72 + 192 = 264

There are 264 male students in the high school containing 600 students.

Find out more on equation at: brainly.com/question/1214333

4 0

2 years ago

What is the solution to the system of linear equations?

soldier1979 [14.2K]

Answer:

$x = -5$

$y = -8$

Step-by-step explanation:

Given

$-8x - 7y = 96$

$-3x + 5y = -25$

Required

Determine x and y

Make y the subject of formula in the second equation

$-3x + 5y = -25$

$5y = 3x - 25$

$y = \frac{3}{5}x - \frac{25}{5}$

$y = \frac{3}{5}x - 5$

Substitute this value in the first equation

$-8x - 7(\frac{3}{5}x - 5) = 96$

$-8x - 7*\frac{3}{5}x + 7 * 5 = 96$

$-8x - \frac{21}{5}x + 35 = 96$

Collect Like Terms

$-8x - \frac{21}{5}x = 96 - 35$

$\frac{-61}{5}x = 61$

$x = 61 * \frac{-5}{61}$

$x = -5$

Recall that

$y = \frac{3}{5}x - 5$

This gives

$y = \frac{3}{5} * -5 - 5$

$y = -3 - 5$

$y = -8$

8 0

3 years ago

What is the quotient?

-BARSIC- [3]

The answer is -1 3/7. I just converted the numbers into improper fractions and then made my result a mixed number. I hope this helps love! :)

4 0

3 years ago