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.


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Find two numbers whose sum is 8 and whose product is 17. Show all steps.

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Answer:

See the solution below

Step-by-step explanation:

Find two numbers whose sum is 8 and whose product is 17. Show all steps.

Given data

Let the first number be x

and the second number be y

so

x+y= 8---------1

x*y= 17---------2

from 1

x= 8-y

put the value of x in 2

(8-y)*y= 17

8y-y^2= 17

collect like terms

y^2-8y+17= 0

Let us check the discriminant

y=  √b^2-4ac

y=   √-8^2-4*1*17

y= √64-4*1*17

y= √64-68

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Hence the problem has no real solution because the discriminant is negative

plz give answer i gives brainalst

Answers

Answer:

28

Step-by-step explanation:

54 - 26 = 28

PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?​

Answers

Answer: The graph on bottom right

Step-by-step explanation:

It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.

Answer:

top right

Step-by-step explanation:

sorry if wrong

please help i will mark brainliest.

Answers

Answer:

d answer is correct

Step-by-step explanation:

I hope it will help you

The answer should be D because, you see the little addition plus signs by the circles, and they are adding every 5 circle and you have 8 in all in each circle.

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Hope this helps, but if I get this wrong m sorry.

If Bob has 5 apples and he hasn't done his laundry how much time does it take him to find his ex?

Answers

It is isa carrot your right

Line segmentAB has vertices A(−3, 4) and B(1, −2). A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯. The image has vertices A′(−1, 43) and B′(13, −23).

A: 1/6
B: 1/3
C: 3
D: 6

Answers

Answer:

B: 1/3

Step-by-step explanation:

It seems the coordinates given are incorrect.

It should read:

A'(-1, 4/3), B'(1/3, -2/3)

This reflects the rule:

(x, y) → (1/3x, 1/3y)

Correct choice is B

Answer:

B: 1/3

Step-by-step explanation:

(x,y) = (1/3x,1/3y)

What is the value of x in the equation 2.5x = 100?
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Answers

The value of x in the equation is 40.
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1. Akari has a sink that is shaped like a half-sphere. The sink has a volume of
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3
cylindrical cups to scoop the water out of the sink. The sink is completely full,
when Akari begins scooping. Hint: you may need to find the volume for both.
(a) Cup A has a diameter of 4 in, and a height of 8 in. Find the Volume of Cup A.
(b) Determine how many cups of water must Akari scoop out of the sink with Cup A to
empty it? Round the number of scoops to the nearest whole number, and make
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Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

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Answers

Answer:A≈254.47m²

Step-by-step explanation:

Step-by-step explanation:

A=pi(r^

[tex]\pi {r}^{2} \\ \\ diameter \: is \: 18 \: meters \\ to \: find \: the \: radius \\ divide \: diameter \: by \: 2 \\ since \: the \: radius \: is \: \\ half \: the \: diameter18 \div 2 = 9 \: meters \\ \\ \pi {r}^{2} \\ \pi( {9}^{2} ) \\ \pi(81) \\ \\ area = 81\pi[/tex]

Write the function notation for the
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Need to explain more.

AOB and COD are two straight lines. Find ZBOD.
help

Answers

Bod is equal to 65.

Help plsssssssssssss

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Answer:

B

Step-by-step explanation:

The hight compared to the volume should be less hight but more volume

B has the larger radius because it is wider therefore it holds more water although it shows to have less. Example) if you get a wide and short container and a skinny and long container the wide one would hold more.

add my sc tregan_fought

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are you old???????????

PLS HELP WILL GIVE BRAINLIEST

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Answer:

3.52BA

Step-by-step explanation:

Middle School:

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1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

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High School:

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I need help ASAP... I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP I need help ASAP...

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Answer:

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Step-by-step explanation:

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Answer:

A and B.

Step-by-step explanation:

I took this test

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Answers

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Step-by-step explanation:

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3. 25 =
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Answers

Answer:

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2) 6⁴ = 1296

3) 25 = 25

4) 5² = 2

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Devin reads 2 pages of a book every 3 minutes. Which proportion could be solved to find x, the number of minutes it will take to read 6 pages?

Answers

Answer: The answer would be 2/3 = x/9

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What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

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Step-by-step explanation:

use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)^x-5+8 you may wish to grab it and its parent function y=0.5^x on the same axes
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Answers

First box is: decreasing

Second box: 0< b< 1

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Fourth box: Right

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Translation of a function is shifting the function from its original place in the graph.

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I think is B but I am not 100% sure goodluck if I am wrong I am sorry :(

Factorizar

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Answers

Answer:

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Step-by-step explanation:

can play 18 holes of golf in 180 minutes. Calculate what is his average rate in number of minutes per holes?

Answers

180/18=10
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Answers

Answer:

-3/7, -2/8, -0.2

Step-by-step explanation:

-0.2 = -1/5

We have -3/7, -2/8 and -1/5

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a/b < c/d if and only if a*d < c*b

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so we get -3/7 < -2/8 < -0.2

Explain when you should reverse the inequality symbol when solving an equality.

Answers

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Answers

the answer is 17+4p . A

Answer:

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Step-by-step explanation:

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6p-3p+p = 4p

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4p+18

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Answer:

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I hope its help for you

A popular smartphone costs about $357.50 to
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Step-by-step explanation:

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so the awnser is

the sale price of a popular smart phone is $572.

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