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2x – 5x + 16 = –3(x – 6)

lapo4ka [179]

Answer:

0

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

6 0

2 years ago

Read 2 more answers

Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how

Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

x(x+2) = 5( x +x+2) - 1

Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

I hope this was helpful, please rate as brainliest

6 0

2 years ago

Use distributive Property to write an expression equivalent to 4(x - 8)

GarryVolchara [31]

4(x-8) would equal 4x-32

7 0

3 years ago

Show how to write, evaluate and simply an expression to represent and solve this problem: Jeff and his friend each text four cla

VLD [36.1K]

Answer:

32

Step-by-step explanation:

It is given that Jeff and his friend each text four classmates about an concert that is two people texts four classmates then 2×4=8 people are notified about the concert, then according to question, each 8 of them texts 4 more students from a different school about the concert, so the total number of people from the other school which are being notified about the concert will be 8×4=32.

5 0

2 years ago

Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0

1 year ago