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

Solve for x. Round to the nearest tenth.​

Answers

Answer:

Hope that answers your question

What is the sum of the interior angles of this pentagon?
O 900°
O 360°
O 540
O 180°

Answers

Answer:

Step-by-step explanation:

360 + 3*180 = -360 + 540 = 180

For four sides -360 + 180*4 = 360

n-2)*180

For a fifteen sided share the sum of angles = (15-2)*180 = 13*180

Answer:

180

Step-by-step explanation:

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Answers

Answer:

the answer is five

Answer:

C: 5

Step-by-step explanation:

A reciprocal means flipping the fraction over.

In this case, 1/5 — 5/1 or just 5.

Hope this helps! Have a great day!

Can u guys help me please

1. What % of 240 is 60?

2. .90 is what percent of 120?

3. 24 is 96% of what number?​

Answers

1.) 25%
2.) 75%
3.) 25

How many square units is the surface area of the box corresponding to the net?​

Answers

Answer:

64

Step-by-step explanation:

We have two squares of 4x4 units and 4 rectangles of 4x2 units, therefore

[tex]2 \cdot (4 \cdot 4)= 2 \cdot 16 = 32 \text{ squre units}[/tex]

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Answer:

-9 degrees celcius

Step-by-step explanation:

(-3) - 6 = -9

Please help me pls plsss

Answers

Answer:

c is correct

Step-by-step explanation:

If you look at it, 2x is the slope. Always remember the formula y = mx + b

The mx is your slope. And the whole number is your b or y - intercept

Hope this Helps!! :)

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Answers

surface area: 19.3
volume: 5.412
Surface area: 19.3 yds
Volume: 5.412 yds

Which factor causes Earth’s seasons?


​

Answers

Answer:

Earth's tilted axis makes the seasons. Different parts of Earth receive the Sun at different times in the year.

Quick Fact:

North tilts toward the Sun, it's summer in the Northern Hemisphere.

South tilts toward the Sun, it's winter in the Northern Hemisphere.

Done ✔

2y-4x=-18 slope intercept form

Answers

Answer:

y=−2x−9

Step-by-step explanation:

Hello,

Solving Process:
1. Isolate y
2. Make coefficient of y equal 1

Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<

Good luck to you!


​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebeh

Answers

Answer:

​hsjebsysgdkbsvehejkebegdhjebebfdsjnebdhdnebehhwbhakj d

Step-by-step explanation:

Urrrrrrrrrrrrrrerrrrrr

Answers

3(-3) - 2(4) + 5
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Please hurry !!!!!!!

Answers

I’ll said the median is 55

Subtract – 2.2 + 3x – 9 from 8x2 + 10x – 10.


Answers

Answer:

=3x−11

2(4x2+5x−5)

Step-by-step explanation:

both subtracted: −8x2−7x−1

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Answers

Answer:

y=-8/7x+8/7

Step-by-step explanation:

Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?​

Answers

19 minutes ..
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The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
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7 cm
4 cm

Answers

Answer:

the height is 2.5 cm

Step-by-step explanation:

The computation of the height of the triangular section is shown below:

As we know that

Volume = One-half × base × height

35 = One-half × 4 × height × 7

So, the height is 2.5 cm

Answer:

Height = 2.5cm

Step-by-step explanation:

Volume = Base(b) x Height(h) x Length(l) / 2

Substitute the information that you have into the equation

Volume = 4 x Height(h) x 7 / 2

Height = 4x7 / 2

= 14cm

35 / 14

= 2.5cm

What does it mean to reason mathematically?

Answers

uhhh giving evidence using mathematical equations/terminology
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You respect math

You live and EAT MATH!!

here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?

a
Impossible
b
Unlikely
c
As likely as not
d
Likely
e
Certain

Answers

Answer:

I would say B?

Step-by-step explanation:

Hope this helps (:

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Answers

Answer:

1/2 cup of carrot juice for each cup of apple juice.

Step-by-step explanation:

The ratio of carrot juice to apple juice is 3:6

Also written as 1:2

1/2 cup of carrot juice per 1 cup of apple juice

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Answers

Answer:

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Step-by-step explanation:

if you can't see it or don't understand something just tell me:) Good luck and I hope it helped.

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Answer:

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Step-by-step explanation:

Please mark as brainllest really need this one.  have a nice week

[o]-[o]

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find the diameter of the circular garden whose circumference is 124.03 cm​

Answers

Answer:

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

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Step-by-step explanation:

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The price of the shirt is 40$ the sale. tax is 8%
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A. 36.80
B. 33.20
C. 48.00
D 43.20

Answers

the correct answer is D 43.20

Answer:

A is the answer

Step-by-step explanation:

8% is the same same as 3.20$

So subtract that from 40$

Hope I could help !

Tyler tried to solve an equation step by step
3(x +4)=-18

Answers

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

What percent of the symbols are $?
$ *
* $ $
*
*
* *
*
$ $ $ $




Plzzzzz help




Answers

It’s moneyyyyyyyyyyy

One month Isabel rented 5 movies and 2 video games for a total of $18. The next month she rented 3 movies and 8 video games for a total of $55. Find the
rental cost for each movie and each video game.
X
?
Rental cost for each movie: $[]
Rental cost for each video game: s]

Answers

Answer:

video=$6.5

moive=$1

Step-by-step explanation:

5m+2v=18, 3m+8v=55

5m+2v=18

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v=9-2.5m

plug (v=9-2.5m) in (3m+8v=55)

3m+8v=55

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Give brillianst please!!!!!!

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The blueprint for an office building uses a scale of 2 cm.:3.5 m. The height of the actual office building is 259 m. What is the height of the office building on the blueprint?

Answers

Answer:

150 cm

Step-by-step explanation:

So the scale is 2 cm on the blueprint = 3.5 meters in real life.

Basically you can just divide the height of the building by 3.5 meters:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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