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cestrela7 [59]
4 years ago
5

The sum of 4 consecutive integers is 198

Mathematics
1 answer:
Annette [7]4 years ago
5 0
<span>48, 49, 50, 51

Hope this helps...

:)</span>
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The sum of 3 consecutive number multiples of 6 is 162 find thesse numbers
MAXImum [283]

let the numbers are x , x+1 ,x+2

∴ 6 [ x + (x+1) +(x+2) ] = 162

∴ x + (x+1) + (x+2) = 162/6 = 27

∴3x + 3 = 27

∴ 3x = 27 - 3 = 24

∴ x = 24/3 = 8

<u>So, the numbers are 8 , 9 , 10</u>

7 0
4 years ago
What is the integral of ∫4x^2 dx
Nataly_w [17]

Answer:

\boxed{\frac{4}{3} x^3 + c}

Step-by-step explanation:

\int\limits {4x^2} \ dx

= \frac{4}{3} x^3 + c

5 0
3 years ago
Read 2 more answers
A piecewise function g(x) is defined by g(x)={x^3-4x for x&lt;2, -log_4(x-1)+2 for x&gt;=2
storchak [24]

The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)

<h3>The graph of the function</h3>

The piecewise function is given as:

g(x) = \left[\begin{array}{cc}x^3-4x &x < 2\\-\log_4(x - 1) + 2 &x \ge 2\end{array}\right

See attachment for the graph of the piecewise function.

<h3>The x-intercepts of the piecewise function</h3>

This is the point where the piecewise function crosses the x-axis.

From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17

Hence, the x-intercepts of the piecewise function are -2, 0 and 17

<h3>The intervals where g(x) is positive</h3>

This is the range of x value where g(x) > 0

From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17

Hence, the intervals where g(x) is positive are (-2,0) and [2,17)

Read more about piecewise function at:

brainly.com/question/11827078

#SPJ1

3 0
2 years ago
Your car cost $42,500 when you purchased it in 2018. the value of the car decreases by 5% annually.
LuckyWell [14K]
Your car will be worth 34,000 in 2022
7 0
3 years ago
Read 2 more answers
A comet travels at an average speed of 233,000 km/h.
mixer [17]

Answer:

39,144,000 km

Step-by-step explanation:

Hi there!

Distance traveled = time * speed

Given speed: 233000 km/h

Given time: 7 days

It's important to note that our speed is given in per hours and out time is given in days. So in order to find how far the comet has traveled we must convert days to hours.

There are 24 hours in 1 day.

So to convert days to hours simply multiply amount of days by 24

24 * 7 = 168

So the comet has traveled for 168 hours

Now we can find distance traveled

Once again distance traveled = time * speed

Given speed is 233000 km/h

Given time is 168 hours

Distance = 168 * 233000 = 39,144,000

So the comet has traveled for a total distance of 39,144,000 km

3 0
3 years ago
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