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koban [17]
2 years ago
14

The sum of 5 consecutive integers is 10. What is the fourth number in this sequence?

Mathematics
1 answer:
grandymaker [24]2 years ago
4 0

Answer:

3

Step-by-step explanation:

Integers: 0, 1, 2, 3, 4

0 + 1 + 2 + 3 + 4 = 10

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Solve 9x² - 6x + 1 = 0 using the Quadratic Formula.
andrezito [222]

Answer:1/3 i dont know if this is right i just kindly copied the guy on top

Step-by-step explanation:

7 0
2 years ago
Please help quickly!
Anuta_ua [19.1K]

Answer:3100 with 9%

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance trav
Anastaziya [24]

Answer:

  6.0 miles

Step-by-step explanation:

The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...

  S7 = a1·(r^7 -1)/(r -1)

  56.923 = a1·(1.1^7 -1)/(1.1 -1)

  5.6923 = a1·0.9487171

Dividing by the coefficient of a1 gives its value:

  5.6923/0.9487171 ≈ 5.999997 ≈ 6.000

The hiker traveled 6.0 miles on the first day.

5 0
2 years ago
A line with a slope of 3 passes through the point (-1, 2).
Rom4ik [11]

Answer:

y - 2 = 3(x + 1)

y - 2 = 3x + 3

y = 3x + 5

Step-by-step explanation:

8 0
3 years ago
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