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2 years ago

10. Solve the equation 1 + x + x² + x

Mathematics

1 answer:

MissTica2 years ago

5 0

Answer:

x^2 + 2x + 1

Step-by-step explanation:

1. collect the like terms.

2. use the commutative property to reorder the terms.

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A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a 40-hour

kodGreya [7K]

Solution: Estimated time for the work is 40 hour work week.

Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:

$3\times 40\times 14=$ $1680

Estimated payment to 6 masons working 40 hours at cost $24 per hour is:

$6\times 40\times 24=$ $5760

Estimated cost of material = $3143

Contractor wishes to make a profit of $500

Therefore, the mathematical expression that will give the estimated cost of the job is:

$Cost = 1680+5760+3143+500$

The estimated total cost is:

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Ian walked 4 miles in 90 minutes. Bob walked 7 miles in 2.5 hours. Are these rates in proportion? If no, who walked faster?

Yuliya22 [10]

Answer:

<h3>Bob walked faster than Ion.</h3>

Step-by-step explanation:

90/4=22.5

Ian - 1 mile in 22.5 minutes

2x60=120

60/2=30

120+30=150

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Bob - 1 mile in 21.43

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2 years ago

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Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

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Answer:

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10. Solve the equation 1 + x + x² + x​​​​​

10. Solve the equation 1 + x + x² + x