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dezoksy [38]
3 years ago
7

Find the 6th partial sum of the following geometric series. 1/2, -3/2, 9/2, -27/2

Mathematics
1 answer:
defon3 years ago
6 0

Answer:

243

Step-by-step explanation:

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How do I use substitution to solve a system of linear equations?
Pachacha [2.7K]

Answer:

the substitution method is one way to solve linear equation. the substitution method is when substitute the one y value with the other:

example :

x+y=10

y=10-x ( value of y)

2x+y=12 ( substitute the value of y in the equation )

2x+(10-x)=12

2x+10-x=12 ( now solve for x)

x=12-10

x=2 ( substitute the value of x in the equation x+y=10)

x+y=10

2+y=10

y=10-2

y=8

( i hope it helps)

8 0
3 years ago
A boat can travel 496 km on 124 liters of fuel. How much fuel will it need to go 84 km?
Anika [276]

Answer:

A boat would need 21 liters to cover the distance of 84 km.

Step-by-step explanation:

Given

A boat can travel 496 km on 124 liters of fuel.

To determine

How much fuel will it need to go 84 km?

It is stated that:

Distance covered in 124 liters of fuel = 496 km

Thus,

Unit rate = 496 km / 124 liters

               = 4 km per liter

Thus,

The distance covered in 1 liter = 4km

In order to determine the distance covered in 84 km, all we need is to divide 84 km by 4.

i.e.

The fuel needed to go 84 km = 84 / 4 = 21 liters

Therefore, a boat would need 21 liters to cover the distance of 84 km.

7 0
3 years ago
Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!
LekaFEV [45]

The piece-wise linear functions can be written as follows:

  • f(x) = x, x \leq -2.
  • f(x) = -x - 7, -2 < x \leq 1.
  • f(x) = 2x - 9, x > 1.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

f(x) = x, x \leq -2.

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

f(x) = -x - 7, -2 < x \leq 1.

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

f(x) = 2x - 9, x > 1.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0
2 years ago
2 1/5 × 5/6<br> (its a fraction) <br> PLSSS i need it now its a test
Soloha48 [4]

Answer:

\frac{11}{6} \ \ or \ 1\frac{5}{6}

Step-by-step explanation:

2\frac{1}{5} \times \frac{5}{6} \\\\ = \frac{11}{5} \times \frac{5}{6} \\\\=\frac{11}{6}\\\\=1 \frac{5}{6}

6 0
2 years ago
Read 2 more answers
Help marking brainly first awnser
solong [7]
Option as is correct hope this helped have a nice day
8 0
3 years ago
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