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steposvetlana [31]
3 years ago
10

Please help this is super urgent!!!

Mathematics
2 answers:
yaroslaw [1]3 years ago
5 0

Answer:

Your answer would be a number line with an open circle on 2, a closed circle on 6, and shading in between.

Step-by-step explanation:

i.e. it could also be written as:

3x + 1 > 7

3x > 7 - 1

3x > 6

x > 2

And the second inequality is:

4x < 24

4x < 6

Hence, the compound inequality could be represented as:

x>2 i.e. (2,∞)

and x≤6 i.e. (-∞,6]

Hence, the feasible region or the region that is common to both the inequalities is:

(2,6]

Hence, there will be a number line with open circle at 2 since 2 is not included in the domain and a closed circle at 6 and shading in between

Leviafan [203]3 years ago
3 0

Answer:

A number line with an open circle on 2, a closed circle on 6, and shading in between

Step-by-step explanation:

Given:

3x+1 > 7 → inequality A

4x ≤ 24 → inequality B

Step 1

Solve inequality A

3x+1>7

3x>7-1

x>2

the solution is the interval------> (2,∞)

Step 2

Solve inequality B

4 x ≤ 24

4 ≤ 6

the solution is the interval------> (-∞,6]

Step 3

Find the solution of the compound inequality

Solution A ∩ Solution B

(2,∞) ∩ (-∞,6]=(2,6]

therefore

The answer is A number line with an open circle on 2, a closed circle on 6, and shading in between

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Y=5x-2 graphed is 1/3 a solution to the equation
ivolga24 [154]

Answer:

1/3 =5x-2

3(1/3)=3(5x-2)

1=15x-6

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Step-by-step explanation:

8 0
3 years ago
Can someone help me please
pishuonlain [190]
64 FL oz

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Since you're looking for 4 pints, you multiply everything by 4.


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3 years ago
Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

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What is the length of AB, with endpoints A (3,2) and B (8,14)?
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We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

x=-2.0\overline{42}

Next, to get rid of the negative, we can multiply either side by -1 to get

-x=2.0\overline{42}

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

-10x=20.\overline{42}

and the other by multiplying either side by 1000:

-1000x=2042.\overline{42}

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

-1000x-(-10x)=2042.\overline{42}-20.\overline{42}\\ -1000x+10x=2022\\ -990x=2022

And finally, we can divide either side of the equation by -990 to find that

x= \frac{2022}{-990}=-\frac{2022}{990}\div \frac{6}{6}=-\frac{337}{165}

5 0
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