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nika2105 [10]
3 years ago
14

The senior class officers have figured out that the prom will cost $5,000 for location rental and decorations and another $42 pe

r person for food. Write an equation in general form that expresses the cost of the prom in dollars, y, as a function of the number of people who attend, x.
Mathematics
1 answer:
kipiarov [429]3 years ago
5 0

Answer:

X+42y = 5,000 y = 42x + 5000.

Step-by-step explanation:

I hope that helps

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Solve -x^2 + 4x +10 = 0 by using the "Solving the square method"
Pavel [41]

Answer:

x =  - 2 +  \sqrt{14}  \:  \: or  \:  \: x =  - 2 -  \sqrt{14}

Step-by-step explanation:

{x}^{2}  - 4x - 10 = 0 \\  {x}^{2}  - 4x = 10 \\  {x}^{2}  - 2(2x) = 10 \\  {x }^{2}  - 2(2x) + 4 = 10 + 4 \\ {(x + 2)}^{2}  = 14 \\ x + 2 =  \sqrt{14}  \:  \:  \:  \: or \:  \:  \: x + 2 =  -  \sqrt{14}

3 0
3 years ago
X^3+9X^2–25X–33=0<br> Find The root of X??
Simora [160]

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go.  Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3.  Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers.  In this case, a factor of 33 might work.  Prime factorization of 33 gives 3 and 11.  Try 3.  Then (x-3) is a factor.

Divide the cubic by (x-3).  It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1).  Therefore, the roots are 3, -1, and -11

6 0
3 years ago
A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 more cheeseburgers
Komok [63]
500-250=250 so if there were 50 more cheeseburgers it would be 300 cheeseburgers so they would of have to sold 200 hamburgers on Wednesday to have sold 500 burgers in total do the answer is 200 hamburgers
4 0
3 years ago
Raafiq's monthly mortgage payment was $1500 last year, and on average, 12% of each payment was interest. If Raafiq itemizes dedu
Helen [10]

Here the monthly payment is $1500.

Now 12% of this payment is interest.

Now 12% of 1500 = 0.12 ×1500 = $180

But this is the interest for one month.

As deductions are made in the financial year.

So the interest needs to be calculated for the whole year which is 12 months.

Now the interest for the whole year is 180 × 12 = $2160.

Option C) is the right answer.

3 0
3 years ago
FI bisects angle GFH. Find GI.
Svetach [21]

Answer:

D: 13

Step-by-step explanation:

4k-7 = 2k+3

k=5

4(5)-7 = 13!

GI = 4k-7 which = 13

5 0
2 years ago
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