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Sever21 [200]
3 years ago
11

What is the factored form of the polynomial? X^2 -12+27?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

(x-9)(x-3)

Step-by-step explanation:

Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)

Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).

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I need help with this ASAP and can you explain so i can understand?!
Elanso [62]

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

We\:have\\x+y=600\\x=600-y

Put in eq(2)

6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

3 0
2 years ago
Read 2 more answers
Solve for k please help!!!
grin007 [14]
Answer: k = 59°

Steps:
180 - 77 = 103

103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59

Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅
8 0
3 years ago
Read 2 more answers
Thirty-four and twelve hundredths in standard form
Lady bird [3.3K]
The answer would be 34 12/100 or 34 3/50
5 0
3 years ago
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There are 25boys and 15girls in a class.if a student is picked at random .what is the probability that the student is a girl
emmasim [6.3K]

Answer:

Step-by-step explanation:

Total Students in Class = 25+ 15=40

Probability= (Number of Girls in Class) ÷ (Total students in Class)

Probability of girl= 15  ÷ 40 = 0.375

7 0
2 years ago
2
Slav-nsk [51]

Answer:

area of P=πr^2

area of Q=πr^2/4=π×400/4=100π

acc to ques

A(q)=4× A(p)

100π=4×πr^2.

100=4r^2

r^2=25

radius of p= √25=5cm

7 0
3 years ago
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