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NemiM [27]
3 years ago
11

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← Rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all term by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4

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Write an equation of a line that is parallel to the given line.
Marina CMI [18]

Answer:

5) y=5

6)x=7

7)a=18

Step-by-step explanation:

5) y= any number will work. don't add a variable like x

6)x= any number will work. don't add a variable

My work for 7 is in the picture. If you'd like me to explain more for 7 lmk :)

6 0
3 years ago
Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}

A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}

C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
3 years ago
A train leaves boston and travels toward its destination at a speed of 60 mph. One hour later, an express train leaves Boston an
Margarita [4]

Taking into account the supplied speeds, Boston is from the destination to:

  • 240 miles

<h3>Calculation of the distance between Boston and Place of Destination</h3>

To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

  • Regular train: 60 miles
  • Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

  • Speed =\frac{Distance}{Time}

And clearing the distance:

  • Distance=Speed*Time
  • Distance=80\frac{miles}{hour}*3hours
  • Distance=240miles

Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.

If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056

3 0
2 years ago
What is 5/2 x 9/4 as a mixed fraction?
Nataliya [291]

Answer:

5 5/8

Hope this helps! :)

3 0
3 years ago
The highest possible grade for a book report is 100. The teacher deducts 10 points for each day the report is late Which kind of
Ksivusya [100]

Answer:

linear

Step-by-step explanation:

6 0
3 years ago
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