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2 years ago

I need help with math

Mathematics

1 answer:

GrogVix [38]2 years ago

8 0

Answer:

x < 3

Step-by-step explanation:

The standard linear equation of a vertical line with an undefined slope is x = a, where "a" represents the x-intercept of the graph. Vertical lines have an undefined slope because it doesn't have any horizontal change.

The given graph represents the graph of a vertical line, whose x-intercept occurs at point (3, 0). Since the graph has a dashed boundary line, then it means that the linear inequality symbol used to represent the graph is "<," which implies that the endpoint, x = 3, is not included as part of the solution. Additionally, since the shaded half-plane region is towards the left-hand side of the boundary line, it means that the solution must less than 3.

Therefore, the linear equation that represents the given graph is x < 3.

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Help with this math question

tresset_1 [31]

The given inequality is:

$|-8x+24| \leq 16$

This inequality can be divided in two parts as:

a) $-16 \leq -8x +24$
b) $-8x + 24 \leq 16$

Solving part a:

$-16 \leq -8x+24 \\ \\ 
-40 \leq -8x \\ \\ 
5 \geq x \\ 
or \\ 
x \leq 5$

Solving part b:

$-8x+24 \leq 16 \\ \\ 
-8x \leq -8 \\ \\ 
x \geq 1$

Therefore, the solution to the given inequality is $x \leq 5$ and $x \geq 1$ . Combining both the ranges we get the solution: $1 \leq x \leq 5$ .

In interval notation, this solution can be expressed as [1,5]

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Sholpan [36]

Answer:

sq rt 74 which is approx 8.6

Step-by-step explanation:

use distance formula

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2 years ago

What is 16 trillion in decimal form

JulijaS [17]

16000000000000.
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3 years ago

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A yacht that travels 1.375 km in 165 minutes expressed in km/h

Tomtit [17]

The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h

<h3>What is Speed?</h3>

The speed of an object is the distance covered by the object in respect to time.

Mathematically:

$\mathbf{Speed = \dfrac{distance}{time}}$

$\mathbf{Speed = \dfrac{1.375 \ km}{165 minutes }}$

We know that 60 minutes = 1 hour
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Speed = 0.5 km/hour

Learn more about calculating speed here:

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2 years ago

2x+4y=16 what is the slope intercept form

Eva8 [605]

Since slope intercept is y=mx+b, you first want to get rid of the 2x by subtracting it from both sides. after, you should end up with 4y=16-2x or 4y=-2x+16, they both are the same, but some teachers might prefer the slope first. after that, you want to get the y alone, so you divide everything by 4. you should end up with the slope intercept form being y=-2/4x+4, simplified to y=-1/2x+4.

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3 years ago