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3 years ago

5

You don't have to do all of them

1 answer:

vova2212 [387]3 years ago

7 0

Answer: lol your using canvas

1. 63

2. D

3. B

4. A

Sorry for the bland explinations havin a bad day.

Step-by-step explanation:

1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.

2. Like question one what set of angles measures to 180 degrees.

3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6

4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.

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The junior and senior class officers are sponsoring a homecoming dance. The total cost for the facilities and catering is $45 pe

larisa86 [58]

Answer:

Domain is (0,∞)

Range is (45, ∞)

Step-by-step explanation:

Let x represents the number of persons and f(x) represents the average cost per person,

∵ Fixed cost = $ 2500

Also, additional cost is $ 45 per person,

So, the total cost for x persons ( in dollars ) = fixed deposit + additional cost for x persons,

= 2500 + 45x

$\text{Average cost for x persons}=\frac{\text{Total cost}}{x}$

$\implies f(x)=\frac{2500+45x}{x}$

Which is a rational function,

∵ A rational function is defined for all real numbers except those for denominator = 0

Denominator of f(x) = x

So, f(x) is defined for all real numbers except x ≠ 0,

Now, the cost can not be negative,

⇒ x > 0

Hence, the domain for f(x) is (0, ∞)

Again,

$f(x)=45+\frac{2500}{x}$

If $x\rightarrow \infty$

$f(x)\rightarrow 45$

So, 45 < f(x) < ∞

i.e., range of f(x) is (45, ∞)

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