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GarryVolchara [31]
2 years ago
8

Solve the system by graphing: y = x^3 - 4x^2 + x + 3 y = 2x - 1

Mathematics
1 answer:
zvonat [6]2 years ago
5 0

Answer:

(-1, -3) and (1, 1)

Step-by-step explanation:

Use a graphing calculator to graph out both lines:

(See picture)

Both lines intersect at points (-1, -3) and (1, 1). These are the solutions for the system of equations.

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What is the rule for the reflection? rx-axis(x, y) → (â€"x, y) ry-axis(x, y) → (â€"x, y) rx-axis(x, y) â†
malfutka [58]

The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).

In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.

This idea of reflection correlating with a mirror image is similar in math.

<h3>Reflection Over the X Axis </h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.

In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

<h3>Reflection Over the Y Axis </h3>

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.

In this case, the Y axis would be called the axis of reflection.

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.

when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).

Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

Hence the correct option is r x-axis(x, y) = (x, -y).

For more details on reflection follow the link:

brainly.com/question/4998744

6 0
2 years ago
Please help will give brainliest<br> And happy Halloween
kramer
Answer to the problem is s=0.6
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3 years ago
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Construct a circle through points<br> X, Y, and Z
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

1st draw 3 circles where each center is on one of the points,  and the other side , the drawing side of the compass is on another point.. the draw the circle ... do that for each point... there will be one point.. where all three cross some where in the middle.. put the point of your compass on that point.. and then put the drawing side on any one of the points... all 3 will now be on the circle.. draw it.. :)  

6 0
2 years ago
Emily has x amounts of apples, Peter has 4 apples less than Emily and Joshua has 2 times the number of apples of Peter. The tota
VladimirAG [237]

Answer:

Emily: 13, Peter: 9, Joshua: 18

Step-by-step explanation:

Emily = x

Peter = Emily - 4 = x - 4

Joshua = 2(Peter) = 2(x - 4)

Total = 40 = Emily + Peter + Joshua = (x) + (x - 4) + 2(x - 4)

40 = 2x - 4 + 2x -8

40 = 4x - 4 - 8

40 = 4x - 12

52 = 4x

x = 13

Emily = 13

Peter = 13 - 4 = 9

Joshua = 2(13 - 4) = 2(9) = 18

13 + 9 +18 = 40

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2 years ago
What fraction of a full turn is one degree
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1/360 
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