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Sergeu [11.5K]
3 years ago
9

Which of the following values are zeros for the function below g(x)=(x2+4x-12)(x-3)

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

<h2>-6, 2 and 3</h2>

Step-by-step explanation:

g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3

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Ms. Tao flies roundtrip twice yearly between Jacksonville and Las Angeles on business. The distance between the two cities is 2,
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The estimated distance is 1,000 for each trip....the exact distance is 1,075.
4 0
3 years ago
Factor 3a^3 + 18a² + 8a + 48 completely.
fomenos

Answer:

(3a2 + 8) • (a - 6)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (((3 • (a3)) -  (2•32a2)) +  8a) -  48

STEP  2:

Equation at the end of step 2:

 ((3a3 -  (2•32a2)) +  8a) -  48

STEP 3:

Checking for a perfect cube

3.1    3a3-18a2+8a-48  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  3a3-18a2+8a-48

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  8a-48

Group 2:  -18a2+3a3

Pull out from each group separately :

Group 1:   (a-6) • (8)

Group 2:   (a-6) • (3a2)

              -------------------

Add up the two groups :

              (a-6)  •  (3a2+8)

Which is the desired factorization

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(a) = 3a2+8

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  8.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4 ,8

3 0
3 years ago
Which of the following is the solution to the equation 2/3 over 3x = 12?
andrey2020 [161]

Answer:

<u>x = 54 and none of the alternatives given is correct</u>

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

<u>x = 54 and none of the alternatives given is correct</u>

7 0
3 years ago
15 - 4j = 43<br> Help me
Lelu [443]

Answer:

15 + -4j = 43

Solving

15 + -4j = 43

Solving for variable 'j'.

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

Add '-15' to each side of the equation.

15 + -15 + -4j = 43 + -15

Combine like terms: 15 + -15 = 0

0 + -4j = 43 + -15

-4j = 43 + -15

Combine like terms: 43 + -15 = 28

-4j = 28

Divide each side by '-4'.

j = -7

Simplifying

j = -7

Step-by-step explanation:

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3 years ago
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What's 8,000,000+300+9 in standard form
igomit [66]
This is your answer 8,000,309
5 0
3 years ago
Read 2 more answers
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