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3 years ago

Is this Correct? Please tell me..

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

Hi!

The absolute value of a number will always be positive! This means that the absolute value of -1.25 is 1.25.

With this in mind, we can successfully locate two points on the number line with the value of 1.25 (positive and negative), and take the absolute value of them in order to get 1.25.

The points you have chosen are -0.5, and 1.5. These points are not 1.25. If you look at the small vertical line next to 1, you can see that it represents 1.25.

Each small vertical line represents an increase (or decrease) of 0.25. With this in mind, we can locate 1.25 on both the positive and negative sides of the number line.

The small vertical line to the right of -1.5 is -1.25, which has an absolute value of 1.25. Lastly, the small vertical line to the right of 1 has a value of 1.25, which has an absolute value of 1.25.

Hopefully, this helps! =)

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4 years ago

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Can anyone help me with the question I attached below?

attashe74 [19]

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.

Step-by-step explanation:

Sine function is a bounded function whose range is between -1 and 1. The lowest average rate of change in temperature occurs when sine function is equal to 1 and the highest when this function is equal to -1. Then, the minimum and maximum average rate of changes in temperature are:

Minimum

$f_{min} = -19 -3$

$f_{min} = -22$

Maximum

$f_{max} = 19-3$

$f_{max} = 16$

The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.

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3 years ago

Evaluate the expression 5^x- 3^x5 x −3 x 5, start superscript, x, end superscript, minus, 3, start superscript, x, end superscri

yaroslaw [1]

Question:

Evaluate the expression 5^x - 3^x for x=2

Answer:

5^x - 3^x for x=2 is 16

Step-by-step explanation:

Given

5^x - 3^x

x=2

Required

Evaluate

When fazed with question like this all you need is to substitute the value of x (or any other variable{s} used) in the expression.

Recall that x = 2

So, you have to substitute 2 for x in 5^x - 3^x

This gives

$5^2 - 3^2$

This can be further solved in 2 ways

1. Solve directly

$5^2 - 3^2$

= $25 - 9$

= 16

2. Expand using difference of two squares.

Difference of two squares is represented by

$a^2 - b^2 = (a + b) (a - b)$

By comparison

$5^2 - 3^2$ becomes

$5^2 - 3^2 = (5 + 3) (5 - 3)$

$5^2 - 3^2 = (8) (2)$

$5^2 - 3^2 = 8 * 2$

$5^2 - 3^2 = 16$

For both ways, we'll arrive at the same answer.

Hence, 5^x - 3^x for x=2 is 16

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3 years ago

Simplify the following expression:

Rufina [12.5K]

Answer:

3x^2 - 8x - 3y

Step-by-step explanation:

7y + 2x – 10y + 3x^2 - 10x

Rearrange the terms

3x^2 + 2x -10x – 10y +7y

Combine like terms

3x^2 -8x-3y

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3 years ago

Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD Worl

polet [3.4K]

Answer:

Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115

Step-by-step explanation:

Let x represent the number of items Ace Electronics buys

Let y represent the number of items Hi-Fi Stereo buys

Let z represent the number of items CD World buys

Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:

x + y + z = 195 (1)

Since CD World buys 35 more units than the other two stores combined:

z = x + y + 35 (2)

If you substitute z in equation 1 from equation 2:

x + y + (x + y + 35) = 195

2(x + y) = 195- 35

x + y = 80 (3)

Since z = x + y + 35:

z = 80 + 35

z = 115

Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750

170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)

170(80-y) + 165y + 160(115) = 31750

13600 - 170y + 165y + 18400 = 31750

32000 - 5y = 31750

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y = 50

Since x + y = 80:

x + 50 = 80

x = 30

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3 years ago