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Sindrei [870]
3 years ago
9

Solve the following system of equations graphically on the set of axes below. y=x+8 y=−2x−1

Mathematics
1 answer:
love history [14]3 years ago
6 0
This makes sense because every point on the gold line is a solution to the equation
y
=
1
2
x
+
3
y=
2
1
​
x+3start color #e07d10, y, equals, start fraction, 1, divided by, 2, end fraction, x, plus, 3, end color #e07d10, and every point on the green line is a solution to
y
=
x
+
1
y=x+1start color #0d923f, y, equals, x, plus, 1, end color. So, the only point that's a solution to both equations is the point of intersection

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How many solutions are there to the following equation?
Hoochie [10]

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

6 0
2 years ago
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3 years ago
If $1800 is invested at a rate of 1.4% compounded continuously find the number of years it will take for the balance to reach $2
Ede4ka [16]

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8 0
3 years ago
Does the residual plot show that the line of best fit is
Iteru [2.4K]

Answer:

e_1 = 3.5-4.06= -0.56

e_2 = 2.3-2.09= 0.21

e_3 = 1.1-0.12= 0.98

e_4 = -2.2-(-1.85)= -0.35

e_5 = -4.1-(-3.82)= -0.28

The plot is on the figure attached. And we can see that the residuals shows a curved pattern so then the best conclusion for this case would be:

Yes, the points are in a curved pattern.

Step-by-step explanation:

The correct formula for the residuals is given by:

e_i =y_i -\hat y_i

Who represent the observed value minus the predicted. We can find the individual residuals and we got:

e_1 = 3.5-4.06= -0.56

e_2 = 2.3-2.09= 0.21

e_3 = 1.1-0.12= 0.98

e_4 = -2.2-(-1.85)= -0.35

e_5 = -4.1-(-3.82)= -0.28

The plot is on the figure attached. And we can see that the residuals shows a curved pattern so then the best conclusion for this case would be:

Yes, the points are in a curved pattern.

4 0
3 years ago
Given A(-2,3), B(m, 5) and C(-1,0). Find the possible<br>values of m if AB = 2AC.​
babymother [125]

Answer:

m = 4 or m = -8

Step-by-step explanation:

length between 2 points = √(difference of x)² + (difference of y)²

AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8

AC² = ((-1) - (-2))² + (0 - 3)² = 10

AB² = 4AC²

m² + 4m +8 = 40

m² + 4m - 32 = 0

(m - 4) (m + 8) = 0

m = 4 or m = -8

6 0
3 years ago
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