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kow [346]
4 years ago
6

Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).

Mathematics
1 answer:
Setler79 [48]4 years ago
7 0
-y=-8x+4
y=8x-4
5x+3(8x-4)=17
5x+24x-12=17
29x-12=17
29x=29
x=1
8(1)-y=4
-y=-4
y=4
(1,4)
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Complete the square:<br> x2 - 6x + 9=-13+ blank
kvasek [131]

Answer:

to complete the square, you add (b/2)^2  on both side. in this case, b is -6, half of -6 is -3, -3 squared is 9, so:

x^2-6x+9=-13+9

(x-3)^2=-4

This quadratic equation have unreal solutions

Step-by-step explanation:

5 0
3 years ago
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an equation of the line of best fit for a data set is y=0.76x+8.35 describe what happens to the line of best fit when each y-val
elixir [45]
The y-intercept of the line would change but the slope would not.

Slope is the rate of change of a line.  If the y-values all decrease the same amount, the rate that the line is changing will not change.  For example, let's take the points (5, 6) and (3, 2).  The slope is given by (6-2)/(5-3) = 4/2 = 2.  Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
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By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.

Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.
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Problem 8-19 Because of high tuition costs at state and private universities, enrollments at community colleges have increased d
luda_lava [24]

Answer:

a) find the attached graph

b) find the attachment no 4 and 5

c)T_{10}= 4.72+1.46(10) = 19.28

Step-by-step explanation:

a) A trend pattern exist if the time series plot gradually shifts to higher or lower values over a long period of time

find the attached graph

b) Liner Trend Equation

T_{1} =b_{0} +b_{1}t

Where T_{1} is the linear trend forecast in period t , b_{0} is the intercept of the linear trend time, b_{1} is the slope of the linear trend line, t is the time period

now computing the slope and intercept

<u>formula is attached ( 3 no attachment)</u>

Y_{t} is the value of the time series in period t, n is the number of time periods

Y(bar) is the average value and t(bar) is the average value of t

<u><em>due to unavailability of equation in math-script i attached the calculation part of this question( 4th and 5th no attachment)</em></u>

thus the linear trend equation is T_{t}= 4.72+1.46t                         (1)

T_{10}= 4.72+1.46(10) = 19.28

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Answer:

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