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Sphinxa [80]
2 years ago
5

Find the 6th term of the arithmetic sequence 2x+3-2x+10-6x+17

Mathematics
2 answers:
EleoNora [17]2 years ago
4 0

Answer:

-18+38

Step-by-step explanation:

1. 2x+ 3,

2. 2x + 10

3. 6x + 7

4. -10x + 24

5. -14x + 31

6. -18x + 38

The correct answer is -18x+38

erik [133]2 years ago
3 0

Answer:

Step-by-step explanation:

6th term of the arithmetic sequence 2x+3-2x+10-6x+17 is 20.

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Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
3 years ago
40x=10x^2+41 <br><br> Identify the number of solutions and their types using the discriminant
nydimaria [60]

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: 40x=10x^2+41\\

Rearranging:

40x-10x^2-41=0\\10x^2-40x+41=0

Discriminant can be found by: b^2-4ac

where b=-40, a=10 and c=41

Putting values:

b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/9184197

#learnwithBrainly

6 0
3 years ago
Adrian are 3 ani, iar tatăl lui are 34 de ani. Peste câți ani Adrian va fi de două ori mai tânăr decât tatăl său?
katrin [286]

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

3 0
3 years ago
List four numbers when counting backwards in steps of seven
morpeh [17]
28, 14, 7, 0 is a sequence for this
6 0
3 years ago
Read 2 more answers
Jane earns $7.50 an hour and time-and-a-half for overtime. How
ArbitrLikvidat [17]

Answer:

339.375  choose d

Step-by-step explanation:

Regular work 40 hours and 3.5 overtime hours

Overtime wage is 1.5 times the regular one

40×7.5+3.5×7.5×1.5=339.375

4 0
2 years ago
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