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3 years ago

11

15 subtracted from the square of an integer the result is equal to three less than four times the integer find the negative inte

ger

1 answer:

dangina [55]3 years ago

5 0

Answer:

Let the integer be called "n"

So we have:

n^2-15=4n-3

n^2=4n+12

n^2-4n-12=0

(n+2)(n-6)=0

So, the negative integer is -2.

Let me know if this helps!

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A local theatre sells out for their show. They sell all 500 tickets for a total purse of $7,920.00. The tickets were priced at $

Arte-miy333 [17]

Answer:

number of children ticket sold = 70

number of adult ticket sold = 70 × 3 = 210

number of student ticket sold = 500 - 4(70) = 500 - 280 = 220

Step-by-step explanation:

A local theater sells out their show. They sell all 500 tickets for a total of $7920 .00 . The total number of ticket sold is 500.

let

Number of children ticket sold = a

Adult ticket sold = 3a

Student ticket sold = 500 - 3a - a = 500 - 4a

Total cost = 7920

7920 = 12(a) + 15(500 - 4a) + 18(3a)

7920 = 12a + 7500 - 60a + 54a

collect like terms

7920 = 12a - 60a + 54a + 7500

7920 - 7500 = 6a

420 = 6a

divide both sides by 6

a = 420/6

a = 70

number of children ticket sold = 70

number of adult ticket sold = 70 × 3 = 210

number of student ticket sold = 500 - 4(70) = 500 - 280 = 220

8 0

4 years ago

1. What is (f⋅g)(x)?

nekit [7.7K]

Answer:

(f⋅g)(x) $= x^7 + 9x^4 - 9x^3 -81$

$(f - g)(x) = x^3 - 6x^2 + 18x + 6x - 10$

Step-by-step explanation:

For the first part of the question we have two functions

$f(x) = x^4 -9$

$g(x) = x^3 + 9$

If the expression refers to the multiplication of f and g, then:

(f⋅g)(x) $= f (x)g(x)$

So we multiply the function f(x) with the function g(x)

(f⋅g)(x) $= (x^4 - 9)(x^3 + 9)$

(f⋅g)(x) $= x^7 + 9x^4 - 9x^3 -81$

For the second part we have the functions:

$f(x) = x^3 -2x^2 + 12x - 6\\\\g(x) = 4x^2 - 6x + 4$

We wish to find (f - g) (x). We know that

$(f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 - [4x^2 - 6x + 4]\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 -4x^2 + 6x - 4$

$(f - g)(x) = x^3 - 6x^2 + 18x + 6x - 10$

5 0

4 years ago

Help asapppppp!!!!!!!!!

Nina [5.8K]

The answer is B.......

4 0

3 years ago

At a pep rally 14 out of 20 students who entered the gym were carrying a backpack. Based on this information, if 1,400 students

kondaur [170]

Answer:

980 students

Step-by-step explanation:

14/20=x/1400

cross multiplication and then u get the equatiton 20x=19600

solve and get 980

4 0

3 years ago

Read 2 more answers

What is the equivalent to this fraction <br> 6/8 & 3/4 = ?

mr Goodwill [35]

Answer:

3/4 x 2/2= 6/8

Step-by-step explanation:

multiply 3/4 x 2/2 to equal = 6/8

3 0

2 years ago