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grin007 [14]
3 years ago
8

Plot the following linear equations and then plot the solution.

Mathematics
2 answers:
kherson [118]3 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]3 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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A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally
patriot [66]

Answer: 0.0775

Step-by-step explanation:

Given : Mean : \mu = 25

Standard deviation : \sigma =15

Sample size : n=36

Since its normal distribution , then the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 28.2 hours

z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28

For x= 30 hours

z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2

The P- value = P(1.28

=P(z

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775

6 0
3 years ago
Please help me! what’s the answer?<br><br> 1) Two points<br> 2) One point <br> 3) One equation
Fiesta28 [93]

Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

4 0
3 years ago
Read 2 more answers
How many solutions does the following equation have?
Tom [10]

Answer:

Answer choice D, Infinitely many solutions.

Step-by-step explanation:

6x-24=6x-24

3 0
3 years ago
Brett can tight at a rate of 25 words per minute. at that rate, how many words can he type in 5 minutes? Make a table to solve t
jekas [21]
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50 words = 2 minuets
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8 0
3 years ago
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For his troops' popcorn fundraiser sale, Mike sold caramel corn for $10, buttered microwave popcorn for $8, and lightly buttered
Bad White [126]
\bf \begin{cases}&#10;c=\textit{caramel corn}\\&#10;b=\textit{buttered microwave popcorn}\\&#10;p=\textit{lightly buttered popcorn}&#10;\end{cases}

so... he sold 400 items, that means, whatever those quantities of c,b,p are, they add up to 400, thus

c+b+p = 400

now, the "c" sold for $10
the "b" sold for $8
and the "p" sold for $7

so, the amount of revenue on the "c" is 10 * c, or 10c
the revenue on "b" is 8*b or 8b
and the revenue on "p" is 7*p or 7p

whatever those amounts are, they ended up in $3,272
thus
10c + 8b + 7p = 3,272

now, he sold more lightly buttered, or "p", than just buttered corn or "b"
he actually sold twice as much, so whatever "b" is, "p" is twice that much
or 
p = 2b

thus      \bf \begin{cases}&#10;c+b+\boxed{p}=400\\\\&#10;\boxed{p}=2b\qquad thus\\\\&#10;c+b+\boxed{2b}=400\qquad or\\\\&#10;c+3b=400\implies c=\underline{400-3b}\\&#10;--------------\\&#10;10c+8b+7p=3272\qquad or\\\\&#10;10(\underline{400-3b})+8b+7(\boxed{2b})=3272&#10;\end{cases}

solve for "b", to see how many buttered microwave popcorn Mike sold

how many lightly buttered?  well, p = 2b
how many caramel ones?   well  c = 400 - 3b
5 0
3 years ago
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