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Masja [62]
4 years ago
13

What is the solution to the inequality? −4(x−6)≤−2x+6

Mathematics
1 answer:
Kipish [7]4 years ago
3 0
-4(x-6) ≤ - 2x+6
-4x-24≤ -2x+6
+2x +2x
-2x-24≤+6
+24 +24
-2x ≤ 30
Divide both sides by -2
and you get....
x ≥ -15
You switch the inequality sign because you're dividing by a negative.
I hope all is well, and you pass! Good luck, rockstar! (:
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Please help me thank you I will give you brainly
aliya0001 [1]
The 3rd selection, "Given" is appropriate.
4 0
3 years ago
Is 4=7 an example of no solution?
Jobisdone [24]
This doesn't make too much sense, since there is now way that 4 can equal to 7.
3 0
3 years ago
Read 2 more answers
Birth certificates show that approximately 9% of all births in the United States are to teen mothers (ages 15 to 19), 24% to you
Ira Lisetskai [31]

Answer:

The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.

Step-by-step explanation:

Denote the events as follows:

<em>T</em> = birth was to a teen mother

<em>Y</em> = birth was to a young-adult mother

<em>A</em> = birth was to an adult mother

<em>U</em> = a birth was unintended

<em>I</em> = a birth was intended.

<u>Given:</u>

P (T) = 0.09

P (Y) = 0.24

P (A) = 0.67

P (I | T) = 0.23

P (U | T) = 0.77

P (I | Y) = 0.50

P (U | Y) = 1 - P (I | Y) = 0.50

P (I | A) = 0.75

P (U | A) = 1 - P (I | A) = 0.75 = 0.25

Consider the tree diagram below.

According to the Bayes' theorem,

P(B|A)=\frac{P(A|B)P(B)}{P(A|B)P(B)+P(A|B^{c})P(B^{c})}

Using the Bayes' theorem compute the probability that a birth was to a teen mother if we know that the pregnancy was unintended as follows:

P(T|U)=\frac{P(U|T)P(T)}{P(U|T)P(T)+P(U|Y)P(Y)+P(U|A)P(A)} \\=\frac{(0.77\times0.09)}{(0.77\times0.09)+(0.50\times0.24)+(0.25\times0.67)} \\=0.19423\\\approx0.1942

The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.

6 0
4 years ago
Write an equation that is parallel to 3x-2y=14 and passes through point (-6,-11)
Allisa [31]

y = (\frac{3}{2})x -2 is the equation of the required line

Step-by-step explanation:

Step 1 :

Equation of the given line is 3x-2y=14

Re writing this in the form y = mx + c , we have

-2y = -3x +14

 y = (\frac{3}{2})x - 7

The co efficient of x , m is the slope of the line. So for the given line the slope is  \frac{3}{2}

Step 2 :

We have to find  equation of a line which is parallel to this line. All parallel lines will have the same slope. Hence the required line has a slope of \frac{3}{2}.

Step 3 :

Equation of line with slope m and passing through a point (x_{1} ,y_{1}) is

(y-y_{1}) = m((x-x_{1})

So equation of line passing through (-6,-11) and with a slope of  \frac{3}{2} is

(y-(-11)) = \frac{3}{2} ( x - (-6))

y + 11 = \frac{3}{2} ( x + 6)

y = (\frac{3}{2})x + 9 - 11

y = (\frac{3}{2})x -2

Step 4 :

Answer  :

y = (\frac{3}{2})x -2 is the required equation

5 0
3 years ago
PLEASE HELP ! Determine f of the quantity 2 plus h end quantity minus f of 2 all over h if f (x) = 5x − 6.
marissa [1.9K]

The value of the function is 5

<h3>What is function?</h3>

A function is defined as a relation between a set of inputs having one output each.

Given function:

f(x) = 5x − 6

Now f(2+h) - f(2) /h

= 5(2+h)-6 - 10+6/h

=10+ 5h -10/h

=5h/h

=5

Learn more about this concept here:

brainly.com/question/26102243

#SPJ1

6 0
2 years ago
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