MATHEMATICS HIGH SCHOOL

Find the zeros of the function
f(x)=x2+7x+12

Answers

Answer 1

Answer: When you factor, you get: (X+4)(x+3)
X=-3,-4

Answer 2

Answer:

Answer:

-4, -3

Step-by-step explanation:

So here we have a quadratic equation (meaning the highest exponent is 2).

$f(x) = x^(2) +7x+12$

To solve a question like this we either factor or use the quadratic formula.

Here we can factor.

To factor we must find two numbers that can be multiplied to make the last term, and summed to make the middle term. In this equation it means we are finding two numbers such that:

___ * ___ = 12

and

___ + ___ = 7

We start by thinking of the factors of 12.

Lets start by trying 6 and 2.

6 * 2 = 12

but

6 + 2 = 8

So 6 and 2 dont work because they do not sum to 7.

Now lets try 4 and 3

4 * 3 = 12

and

4 + 3 = 7

This pair of numbers works because they can be multiplied to make 12 and added to make 7.

So we can write

$f(x) = x^(2) +7x+12$

$f(x) = (x+4)(x+3)$

Knowing this we can can find the zeros of the function. Remember that a zero of a function is whatever can be plugged into x to make 0. Since we know zero times any number equals 0, this equation will be 0 when x + 4 equals 0 or x + 3 equals 0.

So we can solve for those two equations

x + 4 = 0

x = -4

x + 3 = 0

x = -3

So the two zeros of this equation are -4 and -3

Related Questions

Find the LCM of 8,9, and 12

Answers

It's very simple, take a look.

8, 9, 12 | 2
4, 9, 6 | 2
2, 9, 3 | 2
1, 9, 3 | 3
1, 3, 1 | 3
1, 1, 1

2² * 3² *2 = 72

LCM(8,9,12) = 72

The LCM of 8, 9, and 12 is 72. That is the Lowest Common Multiple.

log3(2x-5)=2

Answer is 41/2. Why?

Answers

I guess that your question is:

$log[6*(2x-5)]=2$

So, we can apply this property of log

$log_b~(a)=c\Leftrightarrow a=b^c$

them...

$log[6*(2x-5)]=2$

$6*(2x-5)=10^2$

$12x-30=100$

$12x=100+30$

$12x=130$

$x=(130)/(12)$

simplifying

$\boxed{\boxed{x=(65)/(6)}}$

Answer:

0.954243x−2.385606=2

Let's solve your equation step-by-step.

0.954243x−2.385606=2

Step 1: Add 2.385606 to both sides.

0.954243x−2.385606+2.385606=2+2.385606

0.954243x=4.385606

Step 2: Divide both sides by 0.954243.

0.954243x/0.954243 = 4.385606/0.954243

x=4.595901

Answer:

x=4.595901

Step-by-step explanation:

Help me set this up please ??

Answers

Hello,

45° since a tangentiel angle is the half of the angle in the center corresponding.

What are the coefficients in the expression, 9 - 4 + 3b + 7a?

Answers

The coefficients in the expression are 3 and 7.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

9 - 4 + 3b + 7a

So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.

The coefficient of b is 3,

and coefficient of a is 7.

So, there are 2 coefficients in the given expression.

Thus, the coefficients in the expression are 3 and 7.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

Answer:

The coefficients are b and a

What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?

Answers

The hypotenuse is 13. Becuase you have to follow the equation a^2+b^2=c^2.

Answer:

The answer would be 13, I hope this helped!!!

Step-by-step explanation:

Oil consumption is increasing at a rate of 1.8% per year. by what factor will oil consumption increase inn 6 years? Use the approximate doubling time formula (rule of 70)

Answers

$(70)/(1,8) \approx 38.8 \ \ \ \ \ \rightarrow \ the \ amount \ of \ time \ to \ double \ the \ consumption \n \n 38,8 - 100\% \n 6 - x \n 38,8 x = 600\% \nx \approx 15.5\% \n \n In \ six \ years \ oil \ consumption \ will \ increase \ by \ approximately \ 15.5\%$