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3 years ago

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)

Mathematics

1 answer:

Serggg [28]3 years ago

3 0

Answer:

-n+1

Step-by-step explanation:

h(n)-g(n) =n+2-2n-1 ,collect like terms

n-2n+2-1 = -n+1

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The function f ( x ) = 2 ⋅ 5 ^x can be used to represent an exponential growth curve. Which of the following points is NOT on th

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Answer:

Point (2, 20) does not lie on the given curve.

Step-by-step explanation:

Let us see explanation:

$f(x) = 2. \: {5}^{x} \\ \\ \therefore \: f(x) \: at \: x = 2 \\ f(2) = 2. {5}^{2} = 2.25 = 50 \\ \\ hence \: at \: x = 2 \: \: f(x) = 50 \\ \therefore \:point (2 \: \: 20) \: does \: not \: lie \: on \: the \: \\ \: \: \: \: \: curve.$

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3 years ago

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Which is larger -1.5 or -3 1/2

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Answer:

-1.5

Step-by-step explanation:

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Simplify the following 3/5×(7/10+2/5)/ 5 2/3+1 3/8-2 1/4

Inessa [10]

Answer:

(-2579)/3400

Step-by-step explanation:

Simplify the following:

3/5 (7/10 + 2/5)/(5 + 2/3) + 1 + 3/8 - (2 + 1/4)

(3 (7/10 + 2/5)/(5 + 2/3))/5 = (3 (7/10 + 2/5))/(5 (5 + 2/3)):

(3 (7/10 + 2/5))/(5 (2/3 + 5)) + 1 + 3/8 - (2 + 1/4)

Put 5 + 2/3 over the common denominator 3. 5 + 2/3 = (3×5)/3 + 2/3:

(3 (7/10 + 2/5))/(5 (3×5)/3 + 2/3) + 1 + 3/8 - (2 + 1/4)

3×5 = 15:

(3 (7/10 + 2/5))/(5 (15/3 + 2/3)) + 1 + 3/8 - (2 + 1/4)

15/3 + 2/3 = (15 + 2)/3:

(3 (7/10 + 2/5))/(5 (15 + 2)/3) + 1 + 3/8 - (2 + 1/4)

15 + 2 = 17:

(3 (7/10 + 2/5))/(5×17/3) + 1 + 3/8 - (2 + 1/4)

Put 7/10 + 2/5 over the common denominator 10. 7/10 + 2/5 = 7/10 + (2×2)/10:

(3 7/10 + (2×2)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

2×2 = 4:

(3 (7/10 + 4/10))/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

7/10 + 4/10 = (7 + 4)/10:

(3 (7 + 4)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

7 + 4 = 11:

(3×11/10)/(5×17/3) + 1 + 3/8 - (2 + 1/4)

5×17/3 = (5×17)/3:

(3×11/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

3×11/10 = (3×11)/10:

((3×11)/10)/((5×17)/3) + 1 + 3/8 - (2 + 1/4)

Multiply the numerator by the reciprocal of the denominator, ((3×11)/10)/((5×17)/3) = (3×11)/10×3/(5×17):

(3×11×3)/(5×17×10) + 1 + 3/8 - (2 + 1/4)

5×17 = 85:

(3×11×3)/(85×10) + 1 + 3/8 - (2 + 1/4)

85×10 = 850:

(3×11×3)/850 + 1 + 3/8 - (2 + 1/4)

3×11 = 33:

(33×3)/850 + 1 + 3/8 - (2 + 1/4)

33×3 = 99:

99/850 + 1 + 3/8 - (2 + 1/4)

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

99/850 + 1 + 3/8 - (4×2)/4 + 1/4

4×2 = 8:

99/850 + 1 + 3/8 - (8/4 + 1/4)

8/4 + 1/4 = (8 + 1)/4:

99/850 + 1 + 3/8 - (8 + 1)/4

8 + 1 = 9:

99/850 + 1 + 3/8 - 9/4

Put 99/850 + 1 + 3/8 - 9/4 over the common denominator 3400. 99/850 + 1 + 3/8 - 9/4 = (4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400:

(4×99)/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400

4×99 = 396:

396/3400 + 3400/3400 + (425×3)/3400 + (850 (-9))/3400

425×3 = 1275:

396/3400 + 3400/3400 + 1275/3400 + (850 (-9))/3400

850 (-9) = -7650:

396/3400 + 3400/3400 + 1275/3400 + (-7650)/3400

396/3400 + 3400/3400 + 1275/3400 - 7650/3400 = (396 + 3400 + 1275 - 7650)/3400:

(396 + 3400 + 1275 - 7650)/3400

| 1 | 1 | 1 |

| 3 | 4 | 0 | 0

| 1 | 2 | 7 | 5

+ | | 3 | 9 | 6

| 5 | 0 | 7 | 1:

(5071 - 7650)/3400

5071 - 7650 = -(7650 - 5071):

(-(7650 - 5071))/3400

| | | 14 |

| | 5 | 4 | 10

| 7 | 6 | 5 | 0

- | 5 | 0 | 7 | 1

| 2 | 5 | 7 | 9:

Answer: (-2579)/3400

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Farmer Janet can plant 9 feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour. Whic

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Answer:

Farmer Janet can plant carrots more quickly.

Step-by-step explanation:

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3 years ago

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)​

H(n) = n + 2 g(n) = 2n + 1 Find h(n) − g(n)