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3 years ago

Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5

2 answers:

8 0

X - 3 < = 5
x < = 5 + 3
x < = 8

closed circle on 8 (it is closed because there is an equal sign in the problem)...and since it is less then, it will be shaded to the left.

storchak [24]3 years ago

8 0

Answer:

B- closed circle on 8, shading to left.

Step-by-step explanation:

We have been given an inequality $x-3\leq 5$ . We are asked to choose the correct description of the graph of the compound inequality.

Let us solve for x.

$x-3+3\leq 5+3$

$x\leq 8$

Since we have been given a less than or equal to sign, so we will have a solid dot at $x=8$ .

Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.

Therefore, option B is the correct choice.

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Musya8 [376]

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4 0

2 years ago

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I Nisa buy dollars worth of stock and gained $25 per year Kevin bad for hundred dollars worth of stock in the last $35 per year

alisha [4.7K]

Answer: x= 5 years and y = $225

Step-by-step explanation:

Since we have given that

Amount Nisa gained per year = $25

Amount Kevin lost per year = $35

According to question,

$y=100+25x\\\\and\\\\y=400-35x$

so, it becomes,

$100+25x=400-35x\\\\25x+35x=400-100\\\\60x=300\\\\x=\frac{300}{60}\\\\x=5$

so, For x= 5 years,

Their income of Nisa and loss of Kevin will be

$y=100+25x\\\\y=100+25\times 5\\\\y=100+125\\\\y=\$225$

4 0

3 years ago

The slope of the line y=1/3-34

mote1985 [20]

if there is a x beside the 1/3 than it is 1/3

7 0

3 years ago

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What is the difference written in scientific notation? 0.00067 - 2.3 x 10^5

shepuryov [24]

0.00067=67X10^5 so

67X10^5-2.3X10^5

64.7X10^5 which can be expressed as:

6.47X10^6

(not sure if it matters to you or not, but technically we only had two significant figures so it should be rounded to 6.5X10^6)

5 0

3 years ago

If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m

nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

$2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17$

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

$\angle1=2(17)+6\\\angle1=34+6\\\angle1=40$

So, the actual measure of ∠1 = 40°

8 0

3 years ago