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gayaneshka [121]
3 years ago
10

true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x inter

cept and y intercept where neither side of the line is shaded
Mathematics
1 answer:
sattari [20]3 years ago
7 0
The answer is false
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sergeinik [125]
Cause it's already hard thou
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I NEED THE ANSWER RIGHT NOW PLEASE!!!
strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4)       Showing how to expand

= 5/3x + 35 - 3/2x + 12           Simplified above step by multiplying

= 5/3x - 3/2x + 47            Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47          Change fractions to the common denominator 6

= \frac{10-9}{6}x + 47   Combine fractions with common denominator

= 1/6x + 47              Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

\frac{5}{3}x = 1\frac{2}{3}x    On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

\frac{3}{2}x = 1\frac{1}{2}x   On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.

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3 years ago
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Ksivusya [100]
Total surface area = 2 * circular base + circumference * height
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  =  32pi + 96pi
   = 128pi answer
4 0
3 years ago
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Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister, 1 À dozen
Lyrx [107]

Answer:

Step-by-step explanation:

She gave out three dozen and she had six dozen so she has three dozen left three dozen 3 * 12 she has 36 cookies

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3 years ago
PLEASE HELP ASAP PLEASE
emmainna [20.7K]

Answer:

The equation that represents the line passing through the point (2, -4) with a slope of one half is

f(x) = \frac{1}{2}x - 5

Step-by-step explanation:

The equation of a line can be described by a first order equation in the following format:

f(x) = ax + b

In which a is the slope of the line.

Solution:

The line slope is \frac{1}{2}, so a = \frac{1}{2}.

The equation of the line now is:

f(x) = \frac{1}{2}x + b

The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4

So:

f(x) = \frac{1}{2}x + b

-4 = \frac{1}{2}*(2) + b

-4 = 1 + b

b = -5

So, the equation that represents the line passing through the point (2, -4) with a slope of one half is

f(x) = \frac{1}{2}x - 5

3 0
3 years ago
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