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AVprozaik [17]
3 years ago
7

3b+2(b-3)=4 Solve for b.

Mathematics
2 answers:
mel-nik [20]3 years ago
6 0

Answer:

b=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

mihalych1998 [28]3 years ago
4 0

Answer:

b = 2

Step-by-step explanation:

3b + 2(b - 3) = 4

--distributive property-- 2(b - 3) = 2b - 6

3b + 2b - 6 = 4

(add like terms)

5b - 6 = 4

(add 6 to both sides)

5b = 10

(divide both sides by 5 to get b alone)

b = 2

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Which ordered pair makes both inequalities true?
kow [346]

An ordered pair which makes both inequalities true is (-1, -3).

<h3>What is an ordered pair?</h3>

An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-3, 5), we have:

y < –x + 1

5 < -(-3) + 1

5 < 3 + 1

5 < 4 (False).

For ordered pair (-2, 2), we have:

y < –x + 1

2 < -(-2) + 1

2 < 2 + 1

2 < 3 (True).

y > x

2 > -2 (True)

For ordered pair (-1, -3), we have:

y < –x + 1

-3 < -(-1) + 1

-3 < 1 + 1

-3 < 2 (True).

y > x

-3 > -1 (False)

For ordered pair (0, -1), we have:

y < –x + 1

-(-1) < -(0) + 1

1 < 1

1 < 1 (False).

y > x

-1 > 0 (False)

Read more on inequality here: brainly.com/question/27166555

#SPJ1

5 0
1 year ago
How many solutions does this linear system have?
gayaneshka [121]

Answer:

One solution: (2.5,0)

Step-by-step explanation:

We can use substitution for the solution. Substitute y=2x-5 to -8x-4y=-20 so that you end up with -8x-8x+20=-20. Next you want to add like terms which will be -16x+20=-20, next you want isolate x by subtracting 20 from both sides and leaves you with -16x=-40. Divide -16 on both sides to fully isolate x and will leave you with x=2.5. Now substiture in 2.5 for x in y=2x-5 to get y=2(2.5)-5 which will then lead to y=0.

4 0
3 years ago
Convert to standard form. 4 hundred thousand 16 thousands 4 hundred 21 tens 12 ones
RoseWind [281]

Step-by-step explanation:

4 0
3 years ago
Which of the following mathematical expressions is written in standard form?
bearhunter [10]

Step-by-step explanation:

number2 the answer is a and

number 3 the answer is letter b

5 0
2 years ago
Solve the system of equations by elimination.<br><br> 2x+8y=10<br><br> -4x-9y=-13<br><br> x = y =
Reptile [31]
So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
<u>-4x-9y=-13   +
</u>0x+7y=7
7y=7
divide by 7
y=1

subsittue

2x+8y=10
2x+8(1)=10
2x+8=10
subtract 8 from both sides
2x=2
divide by 2
x=1


x=1
y=1
<u />
8 0
3 years ago
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