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Oduvanchick [21]
3 years ago
5

Write the solution in interval notation {x| 3 less than or equal to x}

Mathematics
2 answers:
Travka [436]3 years ago
8 0

Answer:[3,~)

Step-by-step explanation:

klemol [59]3 years ago
4 0

Answer:

Set in Interval Notation is:  [ 3, ∞)

Step-by-step explanation:

Here, the given expression is:

R  =  {x| 3 less than or equal to x}

Here, the given set is given in the ROSTER FORM of set.

Now, converting the statement in mathematical form, we get:

R  = { x : 3 ≤ x}

So, here: R is the SET OF AL ELEMENTS SUCH THAT each element is either EQUAL TO 3, or GREATER THAN 3.

Writing the st in SET BUILDER FORM, we get:

R = { 3, 4, 5, 6, ....... }

So, R in Interval Notation is:  [ 3, ∞)

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What is Perpendicular to 5x-3y=30 and passing through (-2,7)
alisha [4.7K]

k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2

We have:

k:5x-3y=30\ \ \ \ |-5x\\\\-3y=-5x+30\ \ \ \ |:(-3)\\\\y=\dfrac{5}{3}x-10\to m_1=\dfrac{5}{3}\\\\l:y=m_2x+b\\\\k\ \perp l\Rightarrow \dfrac{5}{3}m_2=-1\ \ \ \ |\cdot\dfrac{3}{5}\\\\m_2=-\dfrac{3}{5}

l:y=-\dfrac{3}{5}x+b

The line l is passing through (-2, 7). Substitute the coordinates of the point to the equation of a line l:

7=-\dfrac{3}{5}\cdot(-2)+b\\\\\dfrac{6}{5}+b=7\ \ \ \ |-\dfrac{6}{5}\\\\b=\dfrac{35}{5}-\dfrac{6}{5}\\\\b=\dfrac{29}{5}

l:y=-\dfrac{3}{5}x+\dfrac{29}{5}\ \ \ \ |\cdot5\\\\5y=-3x+29\ \ \ \ |+3x\\\\3x+5y=29

<h2>Answer: 3x + 5y = 29</h2>
3 0
3 years ago
This recipe makes three portions of soup.
Karolina [17]

Answer:

50 g onions

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Step-by-step explanation:

Divide all the quantities by 3

150/3 g onions

90/3 g carrots

3/3 tablespoons of oil

600/3 g tomatoes

900/3 ml vegetable stock

For one portion:

50 g onions

30 g carrots

1 tablespoon of oil

200 g tomatoes

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A) y = 7sin (x - 40°) + 14<br> describe transformation
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Answer:

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By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cab
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Step-by-step explanation:

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