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KiRa [710]
2 years ago
10

A caterer charges a $65 equipment fee to set up for a party and $9.50 per p person for food served at the party. Which of the fu

nctions ƒ(p) could be used to determine the total cost of a having a party catered?
Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

The total cost function of having a party catered  is f(p)  =  65 + 9.50 p

Step-by-step explanation:

The equipment fee of the caterer = $65

The charge per plate = $9.50

Let, Total number of people invited in the party = p

So, the cost of plates of p people  = Number of people x Per plate cost

                                                         =  p  x $9.50

Now, Total Catering Cost = Equipment Fee +  Cost of all plates

or,                       Total cost =  $65  + p  x $9.50

Hence, the total cost function of having a party catered

 is f(p)  =  65 + 9.50 p.

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X1/3y1/6 rewrite expression in radical form
arsen [322]

Answer:

Step-by-step explanation:

Please, use the symbol " ^ " to denote exponentiation:

x^(1/3) * y^(1/6)

In radical form, this would be:

∛x*(6th root of y)    (the index of the second root is 6).

Alternatively, you could write:

∛x * √((∛y)).

8 0
2 years ago
Read 2 more answers
the required condition for using an anova procedure on data from several populations for mean comparison is that the
Anuta_ua [19.1K]

Answer:

The sampled populations have equal variances

Step-by-step explanation:

ANOVA which is fully known as Analysis of variances can be defined as the collection of statistical models as well as their associated estimation procedures which enables easily and effectively analyzis of the differences among various group means in a sample reason been that ANOVA is a total variance in which the observed variance in a specific variable is been separated into components which are attributable to various sources of variation which is why ANOVA help to provides a statistical test to check whether two or more population means are equal.

Therefore the required condition for using an ANOVA procedure on data from several populations for mean comparison is that THE SAMPLED POPULATION HAVE EQUAL VARIANCE.

5 0
2 years ago
8) Write an absolute value equation that has 5 and 15 as its solutions?
marissa [1.9K]
(I'm going to use brackets as my absolute value bars lol)
 [5 x -3]
[-15]
=15
7 0
2 years ago
Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of
Mamont248 [21]

we have

7=-2x^{2} +10x

Factor the leading coefficient

7=-2(x^{2} -5x)

Complete the square. Remember to balance the equation by adding the same constants to each side

7-12.50=-2(x^{2} -5x+2.5^{2})

-5.50=-2(x^{2} -5x+2.5^{2})

Divide both sides by -2

2.75=(x^{2} -5x+2.5^{2})

Rewrite as perfect squares

2.75=(x-2.5)^{2}

Taking the square roots of both sides (square root property of equality)

x-2.5=(+/-)\sqrt{2.75}

Remember that

\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}

x-2.5=(+/-)\frac{\sqrt{11}}{2}

x=2.5(+/-)\frac{\sqrt{11}}{2}

x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}

x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}

<u>the answer is</u>

The solutions are

x=\frac{5+\sqrt{11}}{2}

x=\frac{5-\sqrt{11}}{2}


5 0
2 years ago
Read 2 more answers
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