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RUDIKE [14]
3 years ago
13

Graph the function. y = 7(6)x+2 + 1

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

Step-by-step explanation:

I must assume that you meant   y = 7(6)^(x+2)  + 1.

Please use " ^ " to indicate exponentiation.  Thanks.

1) Graph y = 6^x first.  Its y-intercept is (0, 1).  It has a horizontal asymptote in y = 0.  The graph starts in Quadrant II and progresses into Quadrant I, never touching or crossing the x-axis.

2) Stretch your graph vertically by a factor of 7.

3) Translate your resulting graph up by 1 unit.

4)  Translate your graph 2 units to the LEFT.

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Can anyone please help me with this?
AnnyKZ [126]

Answer:

m∠QPT = 110°

Step-by-step explanation:

1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.

  • This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.

2. (Solving)

Step 1: Combine like terms.

  • 6x + 20 = (x+4x)+(40-5)
  • 6x + 20 = 5x + 35

Step 2: Subtract 20 from both sides.

  • 6x + 20 - 20 = 5x + 35 - 20
  • 6x = 5x +15

Step 3: Subtract 5x from both sides.

  • 6x - 5x = 5x +15 - 5x
  • x = 15

Step 4: Check if solution is correct.

  • 6(15)+20=(15)+40+4(15)-5
  • 90 + 20 = 15 + 40 + 60 - 5
  • 110 = 55 + 60 - 5
  • 110 = 115 - 5
  • 110 = 110

3. Now, let's plug in 15 for 6x + 20:

  • 6(15)+20
  • 90+20
  • 110

Therefore, m∠QPT = 110°.

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3 years ago
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PLEASE HELP ASAP WORTH 30 POINTS Between which two whole numbers is ⎯⎯⎯⎯√square root of 12 ?
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Answer:

Between 3 and 4

Step-by-step explanation:

3^2 = 3 × 3 = 9

4^2 = 4 × 4 = 16

12 is between 9 and 16

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