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2 years ago

Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Mathematics

1 answer:

Evgen [1.6K]2 years ago

7 0

Answer:

Step-by-step explanation:

(f/g)(x)

= $\frac{f(x)}{g(x)}$

= $\frac{2x}{3x-2}$ ← substitute x = 2 into the expression

= $\frac{2(2)}{3(2)-2}$

= $\frac{4}{6-2}$

= $\frac{4}{4}$

= 1

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There is no line of symmetry in ________________.

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C) rhombus.
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3 years ago

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

THis is the answer.

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3 years ago

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Basic geometry question plsss

SSSSS [86.1K]

Answer:

x=53

Step-by-step explanation:

pythagoras theorem

a^2 + b^2 =c^2

here a and b are two small sides and c is hypotenuse (longest side)

28^2 + 45^2 = c^2

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$\sqrt{2809}$ =x

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2 years ago

PLEASE HELP SUPER EASY!!!

Effectus [21]

A1. 12 i.e option D

A2. 3n-7 i.e option A

A3. -6n+20 i.e option D

A4. -70 i.e option C

Step-by-step explanation:

aₙ = a₁ + (n - 1) × d

aₙ = the nᵗʰ term in the sequence

a₁ = the first term in the sequence

d = the common difference between terms

Using the above formula to solve the first part, we have :

-8 = a₁ + (2-1) × 5

-13 = a₁

a₆ = -13 + (6-1) × 5

a₆ = 12

For the second part, we have :

aₙ = -4 + (n-1)×3

aₙ = -4 + 3n -3

aₙ = 3n-7

For the third part, we have :

a₁=14 ; d=-6

aₙ = 14 + (n-1)×(-6)

aₙ = -6n + 20

For the fourth part, we have :

aₙ = 14 + (15-1)×(-6)

aₙ = -70

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3 years ago

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Answer:

1. 50-x

2. 2x+189

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4. x+99

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6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

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2 years ago