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maksim [4K]
3 years ago
6

Factor each A.) x^3+7x^2+10x=0 B.) x^2 -6x+8=0

Mathematics
1 answer:
wel3 years ago
7 0
A) (X+5) (X+2)

B) (X-4) (X-2)
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1 yard 2 feet 6 inches
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Solve the equation. x6−7=5 The first step is to___ on both sides of the equation. The second step is to___ on both sides of the
gogolik [260]

Answer:

x=2

Step-by-step explanation:

x6−7=5

x6=7+5

x6=12|:6

x=2

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3 years ago
Marilyn gets $7 a week for doing chores. She wants to buy a $38 book. How many weeks does she need to do chores?
Kitty [74]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​
Lilit [14]

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

8 0
3 years ago
A cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% p
Mazyrski [523]
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
 Pf = Po×(1-b) ^ t
 Where:
 Pf = final population
 Po = initial population
 b = decrease rate
 t = timpo in years
 So:
 Pf = 223.00×(1-0.047) ^ 6
 Pf = 167,056
 The answer is the last option.
5 0
3 years ago
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