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Ierofanga [76]
2 years ago
7

The graph below represents the function f(x) and the translated function g(x) .

Mathematics
1 answer:
Grace [21]2 years ago
6 0

Answer:  D.  g(x) = (x-b)^2

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from f(x) = x^2 to g(x) = (x-b)^2. You can think of it as g(x) = f(x-b) = (x-b)^2

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AnnZ [28]

In total there are 12 marbles because 6+4+2=12 and it says you pick 2 marbles from the hat so you subtract 12-2 and that gives you 10 and it says the marbles aren't returned so therefore you are left with 10 marbles. Hope this helps .

Step-by-step explanation:

8 0
1 year ago
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The approximate number of bicycles in the United States in the year 2007 was 14,000,000. How can this number be expressed in sci
elena-s [515]

Answer:

1.4*10^7

Step-by-step explanation:

we have

14,000,000

Remember that

14,000,000=1.4(10,000,000)

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3 years ago
A plane is defined by two lines. What's the counterexample
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A plane that has more than one agent
4 0
3 years ago
ANSWER ASAP ITS FOR FINALS
Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

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16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

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Good luck!!

8 0
2 years ago
How many solutions does 2x+ 2x+ 2=4+2x have
yuradex [85]
Let's see!
2x + 2x + 2 = 4 + 2x\\ 4x + 2 = 4 + 2x\\ 4x - 2x + 2 = 4 + 2x - 2x\\ 2x + 2 = 4\\ 2x + 2 - 2 = 4 - 2\\ 2x + 0 = 2\\ 2x = 2\\ 2x/2 = 2/2\\ x = 1\\
The answer is B
3 0
3 years ago
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