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Hatshy [7]
3 years ago
6

Given: f(x) = x 2 + 2x + 1, find f(x + h) and simplify.

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0
If f(x) = x²+2x +1

f(x+h) = x²+h²+2x+2h+ 2

hope this helps
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Convert 165 pounds into kilograms.
Elenna [48]
Answer: D. 74.91

One pound is 2.205 kilograms, so we can find how many kilograms are in 165 lbs by dividing 165 by 2.02.
The answer is approximately 74.91
6 0
4 years ago
Is it impossible to raise the number to the power of to and get a number less than the original number
finlep [7]
No (unless you're talking about a whole number), for example...
0.2^2 = 0.04
8 0
3 years ago
Suppose that the inside bottom of a box is painted with three colors: 1/3 of the bottom area is red, 1/6 is blue, and 1/2 is whi
Rus_ich [418]

Answer:

The Probability of the pebble landing on red = 1/3

The Probability of the pebble landing on blue = 1/6

The Probability of the pebble landing on white = 1/2

Total sum of probability = 1/3 + 1/6 + 1/2 = 1

The probability that the first pebble lands on blue and second pebble lands on red is:

1/6 * 1/3

= 1/18    

Step-by-step explanation:

Red, Red = 1/3 * 1/3

Red, Blue = 1/3 * 1/6

Red, white = 1/3 * 1/2

Blue, Blue = 1/6 * 1/6

Blue, Red = 1/6 * 1/3

Blue, white = 1/6 * 1/2

White, White = 1/2 * 1/2

White, Red = 1/2 * 1/3

White, Blue = 1/2 * 1/6

8 0
3 years ago
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!
ziro4ka [17]

Answer:

  • 80 tons
  • $20,000

Step-by-step explanation:

<u>21. 1st scenario</u>

  • B = fy + wz
  • 100,000 = 15,000*4 + 500w
  • 500w = 100,000 - 60,000
  • 500w = 40,000
  • w = 40,000/500
  • w = 80

80 tons of wheat

<u>22. 2nd scenario</u>

  • B = fy + wz
  • 50,000 = 2y + 200*50
  • 50,000 = 2y + 10,000
  • 2y = 50,000 - 10,000
  • 2y = 40,000
  • y = 20,000

Fighter plane's price is $20,000

8 0
3 years ago
One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the
Kipish [7]

Let's call the two numbers s and l.


Given these variables, we can say: s = l - 14, based on the first sentence in the problem.


Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}


To solve, we can simply substitute l -14 in for s in the second equation and solve.

\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}

  • Set up

\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}

  • Get terms on the left side to a common denominator for easier addition

\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}

  • Simplify

4(6l - 70) = l(l - 14)

  • Cross multiplication (\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc)

24l - 280 = l^2 - 14l

  • Simplify

l^2 - 38l + 280 = 0

  • Subtract 24l - 280 from both sides of the equation

(l - 10)(l - 28) = 0

  • Factor left side of the equation

l = 10, 28

  • Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

s = 10 - 14 = -4,

Since s is not positive in this case, l = 10 is not a solution.


Thus, l = 28 is our only solution. In this case,

s = 28 - 14 = 14,

which means that the smaller number is 14 and the larger number is 28.

5 0
3 years ago
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