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Oliga [24]
3 years ago
12

Does anyone know how to solve |4x+3|-9<5

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer in fraction form:   -17/4 < x < 11/4

Answer in decimal form:   -4.25 < x < 2.75

=======================================================

Work Shown:

|4x+3| - 9 < 5

|4x+3| < 5+9 .... adding 9 to both sides

|4x+3| < 14

-14 < 4x+3 <  14 .... see note at the bottom

-14-3 < 4x < 14-3 .... subtracting 3 from all sides

-17 < 4x < 11

-17/4 < x < 11/4 .... divide all sides by 4

-4.25 < x < 2.75

This says that x is between -4.25 and 2.75, but x is not equal to either endpoint.

Note: I used the rule that |x| < k becomes -k < x < k where k is a positive real number.

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I don’t know how to solve this
Dmitrij [34]

Answer:

y = \frac{1}{4} x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)

m = \frac{-5+3}{0-8} = \frac{-2}{-8} = \frac{1}{4}

Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = \frac{1}{4} x - 5 ← equation of line

4 0
3 years ago
Read 2 more answers
1.5 Determine the degree of the following algebraic expressions:
tatuchka [14]

By identifying the largest exponent in each expression, we see that the answers are:

a) D = 3.

b) D = 5.

c) D = 0.

<h3></h3><h3>How to determine the degree of an expression?</h3>

The degree is just the largest exponent of the variable in an expression.

First, we have:

a) √3xyz - 5

The largest exponent is on the term √3*xyz is 3 (because we add the 3 exponents 1 of x, y, and z) so this expression has a degree of 3.

b)  y² - 3y⁵ -y + 2y³ - 4

Here the largest exponent is on the second term, so we can see that the degree is 5.

c) -10³

Here we don't have a variable, so this is a constant, which means that the degree is zero, because we could write:

-10³*x⁰

Where we use the fact that x⁰ = 1

If you want to learn more about degrees:

brainly.com/question/1600696

#SPJ1

6 0
2 years ago
Solve for p...<br> -5(p + 3/5) = -4
Alla [95]

Step-by-step explanation:

-5(p + 3/5 ) = -4

-5p - 3/5 *5 = -4

-5p - 3 = - 4

-5p = -4 +3

-5p = -1

therefore p = 1/ 5

7 0
3 years ago
Describe a real life situation where you would have a remainder
kodGreya [7K]

Answer:

You're trying to buy a video game that costs $40 with a $50 bill. The cashier gives you $10 change, which is the remainder.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You spend $55 on sneakers, receive $30 for
Pavel [41]

Answer:

$149

Step-by-step explanation:

He spent 55 on sneakers at first, then he recieved 30 more, and gave 20 to the mom, which i added to the equation, and what he has left i also added.  

4 0
3 years ago
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