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4 years ago

Solve the following equation |x+8|=2x-3

1 answer:

7 0

$2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}$

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Cost to rent a pavilion is $50 plus $15 for each hour of use.

musickatia [10]

Answer:

the cost of renting the pavilion for 8 hours = $130

Step-by-step explanation:

$50 plus $10 per hour

so 8 hour = 10 * 8 = $80

$50 + $80 = $130

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2 years ago

What is 174 dived by 6 and how u solved it

Minchanka [31]

Answer:

Step-by-step explanation:

187 divided by 7 is 6.5

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3 years ago

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Factorise 3x^2+5x+2 answers please

Oliga [24]

Answer:

Step-by-step explanation:

3x² + 5x + 2 = 3x² + 3x + 2x + 2

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3 years ago

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What is the range of g?

MariettaO [177]

Answer:

Step-by-step explanation:

The values for g(x) divert after the point -1.

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3 years ago

Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles.

earnstyle [38]

Answer:

<em>The angle between their paths when they started is 93°.</em>

Step-by-step explanation:

<u>The Law of Cosines</u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.

Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

Substituting values:

$\displaystyle \cos x=\frac{35^2+42^2-56^2}{2(35)(42)}$

Calculating:

$\displaystyle \cos x=-\frac{147}{2940}=-\frac{1}{20}$

Computing the inverse cosine:

$x = \arccos(-0.05)$

$x \approx 93^\circ$

The angle between their paths when they started is 93°.

6 0

3 years ago