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3 years ago

Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

The x-intercept is 1/3.

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De moirve's (√3-i ÷ √3+i)^6 = 1

bulgar [2K]

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-iπ/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6iπ/3) = exp(-2iπ) = 1

7 0

3 years ago

2. A parent pledged $0.50 per lap in a walk-thon at school.

Readme [11.4K]

But how many laps did she walk

3 0

3 years ago

I'm thinking of two numbers. The first plus twice the second equals 11. Twice the first plus three times the second equals 50. W

valentinak56 [21]

2x + 4y - 2x - 3y = 22 - 50

y = -28

substitute into the 1st equation to find x

3 0

3 years ago

Use the Pythagorean Theorem to find l. 1 l l = 7 [?] ft 13 ft 1 2 ft a C с Pythagorean Theorem: a2 + b2 = c2 b Enter

IgorC [24]

Answer:

l = √10 ft

Step-by-step explanation:

Using Pythagorean Theorem, a² + b² = c², where,

a = ½(2) = 1 ft

b = 3 ft

c = l

Plug in the values

1² + 3² = l²

1 + 9 = l²

10 = l²

√10 = l

l = √10 ft

3 0

3 years ago

A store has a bargain bin filled with red (R), blue (B), pink (P), and yellow (Y) shirts in sizes small (S) and large (L). Which

olasank [31]

Option D:

Possible outcomes when randomly pulling one shirt from the bin are

RS, RL, BS, BL, PS, PL, YS, YL

Solution:

Color of shirts are:

Red (R), Blue(B), Pink(P), Yellow(Y).

Size of shirts are:

Small(S), Large(L)

This means that each color of shirts have both in small and large size.

Shirts in bargain bin are:

Red in Small (RS), Red in Large (RL)

Blue in Small (BS), Blue in Large (BL)

Pink in Small (PS), Pink in Large (PL)

Yellow in Small (YS), Yellow in Large (YL)

Possible outcomes when randomly pulling one shirt are:

RS, RL, BS, BL, PS, PL, YS, YL

Hence Option D is the correct answer.

7 0

3 years ago

Read 2 more answers