Mathematics High School

Over which interval(s) is g(x) = x2 + x - 12 positive?
A. -4 < x < 3
B. X <-4 and x > 3
C. X <-3 and x > 4
D. 3 < x < 4

Over Which Interval(s) Is G(x) = X2 + X - 12 Positive?A. -4 &lt; X &lt; 3B. X &lt;-4 And X &gt; 3C. X

Answers

Answer 1

Answer:

B.   x < -4  and x > 3

Step-by-step explanation:

Factor and set = to 0

[tex]x^{2} + x - 12\\( x + 4)(x - 3)[/tex] = 0

x = - 4  or x = 3     I call these critical values

The two numbers would divide a number line into 3 intervals.  Pick a value in one of the intervals and put it in the original expression.  If it makes the function positive, then all the values in that interval make the function positive.  If the value you picked makes the function negative, then the values in the other intervals will make the function negative.  Let's pick the value of 0 and substitute it into the function

We get [tex]0^{2}[/tex] + 0 - 12 = -12 which is not positive.  Therefore, all the values between -4 and 3 will make the function negative.  So, the values less than -4 or greater than 3 will make the function positive.  Therefore, B is the correct answer.

Another way to do this problem is to graph the function and see where the graph is above the x-axis.  But, sometimes it is not easy to graph the function.

Related Questions

What color is a carrot

Answers

Answer:

uh i think its a carrot uh

Step-by-step explanation:

uhh

Answer:

joe biden

Step-by-step explanation:

Identify 3 characteristics of the parabola = −2^2 − 3 + 5.

Answers

Answer:

−2

Step-by-step explanation:

−22−3+5

=−4−3+5

=−7+5

=−2

PLS BRAINLIEST

Answer please ASAP :))))

Answers

Answer:

good luck with maths! i know it can be tricky

Step-by-step explanation:

Answer:

0.056, 0.060, 0.560, 0.600, 6.00

Step-by-step explanation:

Place Value Chart

Tens ---- Ones --- Tenths ---- Hundredths ---- Thousandths

(think about where the values go in the chart)

When Javier is 2, Arianna is 5. When Javier is 3, Arianna is 6.
When Javier is 8, Arianna will be 11. When Javier is 20, Arianna is 23.
Complete the table. Circle the letter of the equation that relates the age
of Arianna, y, to the age of Javier, x.

Answers

Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2          5

3          6

8          11

20          23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

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please answer fast everyone. Find the perimeter of a square that has a area of 144in

Answers

Answer:

48 in

Step-by-step explanation:

If the area is 144 that means each side of the square is 12 in. 12x4=48

Choose the longer measurement
14 inches 1 foot​

Answers

Answer:

tue

Step-by-step explanation:

Answer:

it 14 inch because 1 foot is 12 inches, and 14 inches is greater

Step-by-step explanation:

Ruby and her children went into a bakery and she bought $18 worth of donuts and
cookies. Each donut costs $1 and each cookie costs $1.50. She bought a total of 15
donuts and cookies altogether. Graphically solve a system of equations in order to
determine the number of donuts, , and the number of cookies, y, that Ruby bought

Answers

4 cookies and 5 donuts

Answer:

1x + 1.5y = 18

x + y = 15

She bought 9 donuts and 6 cookies.

what is 11/4-3/8= what is it or get me the right answer

Answers

Answer:

2 3/8 is the answer

Step-by-step explanation:

11/4 - 3/8

We will find the LCM of 4 and 8, which is 8.

We will do 11/4*8, which 8/4 = 2 and 2*11 = 22

Then we will do 3/8*8 = 8/8 = 1 = 3*1 = 3

So the answer will be 22-3 =  19

                                        8     =   8

Mixed Fraction = 2 3/8

Solve the following system

y=1.6x
2x + 2y = 86

Answers

Answer:

The answer is (16.538461(repeated), 26.461538(repeated))

Answer:

x=16.538462 and y=26.461538

Find the difference of 58.2–27.674.
a. 30.652
b. 30.526
c. 35.026
d. 35.620

Answers

Answer:

B

Step-by-step explanation:

You just subtract

Every month, Mr. Jones pays his school loans through automatic payments (withdrawals) from his savings account. He pays the same amount on his school loan each month. At the end of the year, his savings account balance changed by -$3,183 from payments made on his school loan. What is the change in Mr. Jones savings account balance each month due to his school payment?

Answers

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

33 points | dont guess please | no links

Answers

Answer:

Joe mama

Step-by-step explanation:

What is the median?
A(18
B(27
C(33.2
D(34.5

Answers

Answer: 34.5

Step-by-step explanation:

First, write out all of the numbers from least to greatest.

which is (18,20,26,34,34,35,38,40,42,45)

Second, choose the number in the middle of the set of numbers you wrote out from least to greatest. (There are TWO numbers in this case, which are 34 and 35)

Lastly, since there are two numbers you add them both together and then divide by 2. (34+35=69 ,  69 divided by 2 = 34.5)

I need help thank you

Answers

Answer:

30 - 60 - 90

Step-by-step explanation:

(20 POINTS) Will Give Brainliest If You Explain Your Answer:
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.


x f(x)
0 1
2 9
4 17

g(x) = 3x + 1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
D. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answers

The correct answer the slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x)

35/k = 7/3 what does k equal

Answers

pretty sure its 15:)

A rectangle with a width of w and a length of ? has a perimeter greater than 100.
Here is a graph that represents this situation.
Write an inequality that represents this situation.

Answers

Answer:

Let L = length

Let w = width

Perimeter = 2L + 2w

L = 100

Perimeter > 400

2(100) + 2w > 400

200 + 2w > 400 is the inequality

Subtract 200 on both sides of inequality.

2w > 200

w > 100

The width is at least 100 centimeters

The inequality that describes the perimeter of a rectangle is greater than 100 is 2(l + w) > 100.

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, A rectangle with a width of w and a length of l has a perimeter greater than 100.

We know the perimeter of a rectangle is 2(l + w).

∴ The perimeter of this rectangle is 2(l + w) > 100.

learn more about rectangles here :

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Simplify the following:
a) 49 x 43
b) 69 x 62
c) 88 = 8
d) 78 - 76
I’ll give brainliest

Answers

Answer:

a) 2107

b) 4278

c)false equation but gessing its a + IT IS 96 or a - =80

d) 2

Step-by-step explanation:

a) 2107   b) 4278 c)  i dont think anything can be done with this  d)2 hope this helps,

Given the polynomial function: f(x)=t(x+2)^2(x-5)(x+3), what is the degree of f(x)?

Answers

Answer:

3

Step-by-step explanation:

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square units

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Answer:

Im pretty sure its 16.64

Step-by-step explanation:

marissa invested $800 at 6% per year compound interest for 3 years

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Answer:

Her total would be: $944

Step-by-step explanation:

I will mark brainliest

The snack that smiles back ____

Answers

Answer:

I smile back :D

Step-by-step explanation:

The two lines represent the distance traveled, over time, by two trains. Which train is traveling more quickly?

Answers

Answer:

A

Step-by-step explanation:

if the line is steeper it means that it increases quickly

(6x10²)+(3x10³). in standard form​

Answers

Answer:

3600

Step-by-step explanation:

please heLP I dont know any of this sadly.

Answers

Answer:

D

Step-by-step explanation:

pi = 3.14

r = 3

3.14 x 3x^2

= 28.26x^2

The answer :

the last one

Step-by-step explanation:

diameter = 6x so radius = 3x

3.14 * 3x * 3x = 28.26 x

Which of the following quadrilaterals meet all the criteria for parallelograms? Select all that apply.

Square
Rectangle
Trapezoid
Rhombus
Kite​

Answers

i believe the answer is rhombus and square!

have a nice day :)

Anybody wanna have a zaam? ID:945 739 7763/Passcode: BRAINLY

Answers

Answer:

Step-by-step explanation:

sure ig (:

Answer:

She told me put my heart in the bag (In the bag)

And nobody gets hurt (Nobody)

Now I'm running from her love, I'm not fast (Fast)

So I'm making it worse (Making it worse)

Now I'm digging up a grave, from my past

I'm a whole different person (A whole different person)

It's a gift and a curse (A gift and a curse)

But I cannot reverse it

Step-by-step explanation:

Please Help!! I will give 50 points and brainliest..
The question is attached below

Answers

Answer:

okey i will help you what is that

Please help me solve this

Answers

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

i need help with this question please hurry it is almost due!

Answers

Answer:

I see nothing tho

Step-by-step explanation:

12.25 no time to explain HURRY
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