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Rom4ik [11]
1 year ago
9

Two piecewise functions are shown below. What is the value of

Mathematics
1 answer:
gizmo_the_mogwai [7]1 year ago
3 0

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

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How many solutions does the following equation have?<br> -4(+5) = -4- 20
Rus_ich [418]

Answer:

0

Step-by-step explanation:

Try looking at it in 2 ways- left side and right side. On the left side we have -4*5, which equals -20. On the right we have -4-20, which equals -24. so then when we add it all together (not literally) we get -20=-24. Since -20 and -24 obviously do not equal eachother, there is no solution.

4 0
3 years ago
I need help people what is 215÷ 9
Dominik [7]

215/9 = 23.888

or

23 with a remainder of 8

I hope I helped


6 0
3 years ago
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Write an inequality to match the problem.<br> There are at least 28 days in every month.
Elodia [21]

Answer:

28 ≥ month

Step-by-step explanation:

5 0
2 years ago
What is 456+1290????
Arisa [49]

Answer:

1846

Step-by-step explanation:

1290+456

3 0
3 years ago
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Find the slant height x of the pyramid shown, to the nearest tenth.<br> 5 mm<br> 9 mm<br> 9 mm
MArishka [77]

The slant height of the pyramid can be calculated using Pythagoras theorem. Therefore, the slant height is 6.7 mm

<h3>How to find slant height of a pyramid?</h3>

The slant height x, can be found using Pythagoras theorem,

Therefore,

c² = a² + b²

where

  • c = hypotenuse
  • a and b are other two legs.

Therefore,

x² = 4.5² + 5²

x² = 20.25 + 25

x² = 45.25

x = √45.25

x = 6.72681202354

x = 6.7 mm

learn more on pyramid here: brainly.com/question/11805304

#SPJ1

4 0
1 year ago
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