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3 years ago

2z+4≤−2 interval notation

Mathematics

2 answers:

Leni [432]3 years ago

4 0

Good morning ☕️

Answer:

Step-by-step explanation:

NOTE:__________________________________________________

in order to solve inequality like this we need to isolate the variable z and that’s what we will do in the next few steps___________________

>step 1: subtract 4 from both sides

$2z+4\leq -2\\\\means\\\\2z\leq -2-4\\\\then\\\\2z\leq-6$

>step 2: divide both sides by 2

$2z\leq-6\\\\then\\\\z\leq-3$

>Interval notation :

(-∞ , -3]

JulijaS [17]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Given

2z + 4 ≤ - 2 ( subtract 4 from both sides )

2z ≤ - 6 ( divide both sides by 2 )

z ≤ - 3

solution is x ∈ ( - ∞, - 3 ]

The parenthesis on the left means that x cannot equal - ∞

The ] on the right means that x can equal - 3

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Answer:

a) 3

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Step-by-step explanation:

a)With 4 As ; 2Bs and 3Cs it is possible to get a palindrome if you fixed the letters C according to: (2) in the extremes of the word and the other one at the center therefore you only have palindrome in the following cases

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We have the total number of elements 9, so the total number of possible outcomes is : 9!

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Therefore the probability of having 3 adjacent Cs is: 7!/9!

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3 years ago

Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3

NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

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$y=mx+c$

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Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

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Hence the another point will be (2,-3)

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Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) , (2,-3) and (-2,5) we joint them on line to obtain our line

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$y=x^2-2x+1-1-3$

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It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

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Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

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4 years ago

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slega [8]

Answer:

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Step-by-step explanation:

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3 years ago