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Lemur [1.5K]
3 years ago
7

Write the compound inequality for the graph shown below:pic

Mathematics
2 answers:
Yanka [14]3 years ago
8 0
The open circle means not equal to and it faces to the left, meaning less than. The solid circle means equal to, and it is pointing to the right, so it means greater than. writing this as a compound inequality would be:

-1 > x _>_ 5

negative one is greater than x, which is greater than or equal to five
romanna [79]3 years ago
4 0

Answer:

x<-1 or x>=5

Step-by-step explanation:

there is an open circle at -1

an open circle means it is not equal to

the line goes to the left which means x is less than

x < -1


there is a closed circle at 5

a closed circle means equal to

the line goes to the right which means x is greater than

x>= 5

the line looks like boat oars

so this is a compound inequality using or

x<-1 or x>=5

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Apply the distributive property to factor out the greatest common factor 22c+33d
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What you need to do is find a common multiple which is 11, Then you divide 22c and 33d by 11 so you get 2c and 3d Then since there is an addition sign you put 2c and 3d is () 
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What is the value of the 5 in the number 2.005?<br> 0.5<br> 0.005<br> 0.05<br> 5
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The correct answer is 0.005
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3 years ago
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PLZ HELP 100 POINTS A triangle has two sides with lengths 7 m and 12 m.Which of the following lengths could represent the length
Vinil7 [7]

Answer:

7, 10, 17

Step-by-step explanation:

4m can' t be the third side because the second side, 12m must be less than the sum of the first and third sides and can't be 19m because 19 must be less than the sum of the first and second sides.

As a rule, the measure of a side of a triangle must be less than the sum of the measures of the 2 other sides

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3 years ago
I tell you these facts about a mystery number, $c$: $\bullet$ $1.5 &lt; c &lt; 2$ $\bullet$ $c$ can be written as a fraction wit
makkiz [27]

Answer:

Possible answer: \displaystyle c = \frac{16}{10} = \frac{8}{5} = 1.6.

Step-by-step explanation:

Rewrite the bounds of c as fractions:

The simplest fraction for 1.5 is \displaystyle \frac{3}{2}. Write the upper bound 2 as a fraction with the same denominator:

\displaystyle 2 = 2 \times 1 = 2 \times \frac{2}{2} = \frac{4}{2}.

Hence the range for c would be:

\displaystyle \frac{3}{2} < c < \frac{4}{2}.

If the denominator of c is also 2, then the range for its numerator (call it p) would be 3 < p < 4. Apparently, no whole number could fit into this interval. The reason is that the interval is open, and the difference between the bounds is less than 2.

To solve this problem, consider scaling up the denominator. To make sure that the numerator of the bounds are still whole numbers, multiply both the numerator and the denominator by a whole number (for example, 2.)

\displaystyle \frac{3}{2} = \frac{2 \times 3}{2 \times 2} = \frac{6}{4}.

\displaystyle \frac{4}{2} = \frac{2\times 4}{2 \times 2} = \frac{8}{4}.

At this point, the difference between the numerators is now 2. That allows a number (7 in this case) to fit between the bounds. However, \displaystyle \frac{1}{c} = \frac{4}{7} can't be written as finite decimals.

Try multiplying the numerator and the denominator by a different number.

\displaystyle \frac{3}{2} = \frac{3 \times 3}{3 \times 2} = \frac{9}{6}.

\displaystyle \frac{4}{2} = \frac{3\times 4}{3 \times 2} = \frac{12}{6}.

\displaystyle \frac{3}{2} = \frac{4 \times 3}{4 \times 2} = \frac{12}{8}.

\displaystyle \frac{4}{2} = \frac{4\times 4}{4 \times 2} = \frac{16}{8}.

\displaystyle \frac{3}{2} = \frac{5 \times 3}{5 \times 2} = \frac{15}{10}.

\displaystyle \frac{4}{2} = \frac{5\times 4}{5 \times 2} = \frac{20}{10}.

It is important to note that some expressions for c can be simplified. For example, \displaystyle \frac{16}{10} = \frac{2 \times 8}{2 \times 5} = \frac{8}{5} because of the common factor 2.

Apparently \displaystyle c = \frac{16}{10} = \frac{8}{5} works. c = 1.6 while \displaystyle \frac{1}{c} = \frac{5}{8} = 0.625.

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3 years ago
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Liula [17]
<h2>○=> <u>Correct option</u> :</h2><h2>\color{hotpink}\bold{ (a) \: 130}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

=\tt 3p + 1 + p + 7 = 180

Let us solve that equation to find the value of p and the two angles :

=\tt 3p + 1 + p + 7 = 180

=\tt 3p + p + 1 + 7 = 180

=\tt 4p + 8 = 180

= \tt4p = 180 - 8

= \tt4p = 172

=\tt p =  \frac{172}{4}

\hookrightarrow \tt  \color{plum}p = 43

Thus, value of p = 43

Measure of angle (p+7)° :

=\tt 43 + 7

\tt\color{plum}angle \: (p + 7)° =\tt 50°

Measure of angle (3p+1)° :

=\tt 43 \times 3 + 1

= \tt129 + 1

\tt\color{plum}angle \: (3p + 1)° = 130°

Thus, the measure of the larger angle = 130°

Therefore, the correct option is <em>(a) 130</em>

3 0
3 years ago
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