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grin007 [14]
2 years ago
8

Plot the following linear equations and then plot the solution.

Mathematics
2 answers:
kherson [118]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

(1) Create a table containing a few values of x and y

I chose x = -5, 0, and 5.

\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}

(2) Plot your points

Draw dots at the coordinates of each point ( Fig. 1).

(3) Draw the graph

Draw smooth lines through the points for each function.

Extend the lines in both directions to the edges of the plot area.

Your graphs should look like Fig. 2.

(4) Plot the solution

Note where the lines cross.

They appear to intersect at (4, 10).

Plot the point, and the finished graph should look like Fig. 3.

Bingel [31]2 years ago
3 0

Answer:

(2, 4)

Step-by-step explanation:

Both equations have been solved for y, so to find x we need only set the equations = to each other:    y=-x+6   =  y=3x-2

Combining like terms, we get 4x = 8, and x = 2.  Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.

The solution is (2, 4).  If you were to graph these two lines, you'd find that they intersect at (2, 4).

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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​
KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

8 0
2 years ago
What is the solution to log Subscript 2 Baseline (2 x cubed minus 8) minus 2 log Subscript 2 Baseline x
BARSIC [14]

Answer:

x=2

Step-by-step explanation:

i took the quiz

6 0
3 years ago
Read 2 more answers
I am having a test tomorrow about this can someone help me explain it?​
Amiraneli [1.4K]

Answer:

the answer would be 217 [degrees]

Step-by-step explanation:

Since m<1 and m<2 are next to each other, they are adjacent. Adjacent angles  must share a common side which is m<W. This means they have to be added.   m<1+m<2= m<XYZ

145+72=217

7 0
2 years ago
Read 2 more answers
Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
4 0
3 years ago
(c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.)
postnew [5]
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7 0
3 years ago
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