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g100num [7]
3 years ago
8

GRAPHING INEQUALITIES

Mathematics
1 answer:
Rudiy273 years ago
6 0
I don’t know put 2x on the x axis and dot 0 on the y axis
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Five grams of sugar are added to a 40-gram serving of a breakfast cereal that is 10% sugar. What is the percent concentration of
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10g+0.10(40g)=14 grams of sugar.
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100 ^2 x 26 / 100 + 145^5 =
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The answer is 64,097,343,225 
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Which of the following is a defined term? <br> Plane<br> Point<br> Line<br> Angle
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A line is a defined term
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2 years ago
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (
Rufina [12.5K]

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

<u>Sum of terms:</u>

  • Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
  • S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
  • 2020 = 10(2a₁ + 19d)
  • 202 = 2a₁ + 19d

<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>

  • 202 = 2a₁ + 38k
  • 101 = a₁ + 19k

<u>Possible values of k= 1,2,3,4,5</u>

  • k = 1 ⇒ a₁ = 101 - 19 = 82
  • k = 2 ⇒ a₁ = 101 - 38 = 63
  • k = 3 ⇒ a₁ = 101 - 57 = 44
  • k = 4 ⇒ a₁ = 101 - 76 = 25
  • k = 5 ⇒ a₁ = 101 - 95 = 16

<u>As per above, </u>

  • a) possible progressions are 5
  • b) the smallest and largest possible values of the first term are 16 and 82
6 0
3 years ago
Slope for (1,5) (3,4)​
frez [133]

Answer:

-1,2

Step-by-step explanation:

4-5=-1

3-1=2  

y2-y1

x2-x1

8 0
2 years ago
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