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2 years ago

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:

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:

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2 years ago

Please help quickly!

Anuta_ua [19.1K]

Answer:3100 with 9%

Step-by-step explanation:

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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:

The correct question is

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

$20x^{2} -10x-30=0$

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

substitute

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

Verify

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.

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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:

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3 years ago