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o-na [289]
3 years ago
9

On a number line, what is x-4<-3?

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Add 4 to both sides

x - 4 < -3

x-4+4 < -3+4

x < 1

To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.

The graph is shown below.

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Are the following lines parallel, perpendicular, or neither?
natta225 [31]

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies \displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

8 0
3 years ago
Under which condition does a country with a small GDP have a large per capita income? if it has a large population if it has a s
ratelena [41]
Per capita means per head or per person.

now, if a country has a small GDP hmmm say for the sake of example, $1000, and it has 1000 residents, then the per capita is $1000/1000 or a buck each.

now, $1000 is a really tiny GDP, but, if the population is say hmm 20 folks only, then the per capita amount is $1000/20, or $50 per person, now, that's a large "per capita" figure, more so than $1 per person, even though the GDP never changed, it was all along $1000.

so, if the population is comparitively small, the per capita is large, I think a good example of that is Switzerland.

sidenote:

bear in mind that per capita figures are very misleading, since you could have a tiny portion of the population making huge amounts and others making little, like in the US, and the per capita is very inaccurate to reflect the economy wealth distribution.
7 0
4 years ago
Read 2 more answers
Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Eac
Aloiza [94]

Answer:

4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the values of x work 10% of my grade
Ostrovityanka [42]

Answer:

x = 35

Step-by-step explanation:

1. Add all angles

115+(x+36)+24+(2x+10)+2x

= 5x+185

2. Match 360 and fix

5x+185=360

5x=360-185

5x=175

x=175/5

x=35

Hope this helps

6 0
2 years ago
Read 2 more answers
The circumference of a circle can be found using the
hichkok12 [17]

Answer:

It is the <em><u>second one</u></em>

Step-by-step explanation:

1st option does not include the number 2 from the equation above,

and 3 and 4, you do not have to divide anywhere in the equation, so those are no possibly correct.

6 0
3 years ago
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