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jolli1 [7]
3 years ago
12

Graph the equations to solve the system y= x+4 y= -x-6

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

You can plot lines by extrapolating two points and connecting them. To extrapolate points on the graph, choose whatever value for x you like, and calculate the correspondent y value.

Line y = x+4:

\text{choose } x=0 \implies y = 0+4 =4 \implies (0,4) \text{ is on the line}

\text{choose } x=1 \implies y = 1+4 =5 \implies (1,5) \text{ is on the line}

Line y = -x-6:

\text{choose } x=-3 \implies y = -(-3)-6 =-3 \implies (-3,-3) \text{ is on the line}

\text{choose } x=-6 \implies y = -(-6)-6 =0 \implies (-6,0) \text{ is on the line}

Now draw the first two points (0,4) and (1,5) and connect them. You have the first line. Draw the last two points (-3,-3) and (-6,0) and connect them. You have the second line.

You should find out that the two lines cross at (-5,-1)

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How many solutions does this equation have?<br> 8−2(n+3)=n+7−3n
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8-2(n+3)=n+7-3n

We move all terms to the left:

8-2(n+3)-(n+7-3n)=0

We add all the numbers together, and all the variables

-2(n+3)-(-2n+7)+8=0

We multiply parentheses

-2n-(-2n+7)-6+8=0

We get rid of parentheses

-2n+2n-7-6+8=0

We add all the numbers together, and all the variables

-5!=0

There is no solution for this equation
6 0
3 years ago
Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it
svet-max [94.6K]

Answer:

1) They will stop 10 times for a break

2) A baker can make 10 cakes

3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy

Step-by-step explanation:

Let me know if you have any questions !

Hope it helps

3 0
2 years ago
What two numbers that can be added to -13 but also be multiply to 36
iragen [17]

Answer:

-9,-4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Tim Worker is doing his budget. He discovers that the average electric bill for the year was $206.00 with a standard deviation o
ivanzaharov [21]

Answer:

  • -2.2
  • 1.4%
  • -0.6
  • 27.4%
  • 26%
<h3>Step-by-step explanation:</h3>

The z-value is computed from ...

... z = (x -µ)/σ

... z = (184 -206)/10 = -2.2 . . . . for $184

... z = (200 -206)/10 = -0.6 . . . . for $200

You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.

... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)

... -0.6 corresponds to the 27.425 percentile.

Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.

_____

<em>Comment on the calculator display</em>

The difference that got cut off from the display in the attachment is ...

... 0.2603496703

The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.

7 0
3 years ago
Find the midpoint of side EF. (4 points)
umka2103 [35]

Answer:

Midpoint of side EF would be (-.5,4.5)

Step-by-step explanation:

We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:

e=a+c/2,f=b+d/2

Here we have to find the mid-point of side EF.

E(-2,3) i.e. (a,b)=(2,3)

and F(1,6) i.e. (c,d)=(1,6)

Hence, the coordinate of midpoint of EF is:

e=-2+1/2, f=3+6/2

e=-1/2, f=9/2

e=.5, f=4.5

SO, the mid-point would be (-0.5,4.5)

 

3 0
2 years ago
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