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tigry1 [53]
3 years ago
13

3x(x²-5) what's the product​

Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
6 0
3x(x^2 - 5)
(3x)(x^2 + 5)
(3x)(x^2) + (3x)(-5)
Thus, your answer would be: 3x^3 -15x
fenix001 [56]3 years ago
3 0

3x(x²-5)

Multiply the bracket by 3x

(3x)(x^2)=3x^3

(3x)(-5)=15x

Answer: 3x^3+15x

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How do you solve this? r^2+32=12r
Andre45 [30]

Answer:

r = {-8, -4}

Step-by-step explanation:

Simplifying

r2 = -32 + -12r

Solving

r2 = -32 + -12r

Solving for variable 'r'.

Reorder the terms:

32 + 12r + r2 = -32 + -12r + 32 + 12r

Reorder the terms:

32 + 12r + r2 = -32 + 32 + -12r + 12r

Combine like terms: -32 + 32 = 0

32 + 12r + r2 = 0 + -12r + 12r

32 + 12r + r2 = -12r + 12r

Combine like terms: -12r + 12r = 0

32 + 12r + r2 = 0

Factor a trinomial.

(8 + r)(4 + r) = 0

Subproblem 1

Set the factor '(8 + r)' equal to zero and attempt to solve:

Simplifying

8 + r = 0

Solving

8 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + r = 0 + -8

Combine like terms: 8 + -8 = 0

0 + r = 0 + -8

r = 0 + -8

Combine like terms: 0 + -8 = -8

r = -8

Simplifying

r = -8

Subproblem 2

Set the factor '(4 + r)' equal to zero and attempt to solve:

Simplifying

4 + r = 0

Solving

4 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0

0 + r = 0 + -4

r = 0 + -4

Combine like terms: 0 + -4 = -4

r = -4

Simplifying

r = -4

Solution

r = {-8, -4}

3 0
2 years ago
Express the following pattern as an algebraic expression: 88, 75, 62, 49. Use “n” for the term number.
Ostrovityanka [42]

Answer:

-13n + 101

Step-by-step explanation:

88, 75, 62, 49. = -13  -13 -13 = -13n + 101  (as 88+13 = 101)

5 0
2 years ago
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(PLEASE ANSWER) Which expression is the prime factorization of 180X²Y? *
kenny6666 [7]
I have no clue but I think it’s 959583”04&6&(9;
3 0
3 years ago
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Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the
Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0   is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution  (r)  of equation is RATIONAL.

To show: The other solution (s)  is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c =  (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) +  (r)(s)

                 =  x² + x(-r - s) +  rs

or, x² + bx + c = x² + x(-r - s) +  rs

Comparing the related terms, we get:

b =  (-r - s)    

⇒  b +  s = - r

or, s  = -r - b

Now, given : r = Rational  and the negative of a rational is also rational.

⇒  -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0   is also rational number.

7 0
3 years ago
A store buys 12 sweaters for $96 and sells them for $264. How much profit does the store make per sweater?​
Nata [24]

Answer:

14$ per sweater

Step-by-step explanation:

264 - 96 = 168

168 / 12 = 14

6 0
3 years ago
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