Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = 6x2 + x − 12

A. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12

B. linear function; linear term: x; constant term: −12

C. linear function; linear term: 6x2; constant term: −12

D. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.


Related Questions

A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the real distance between these cities in miles

Answers

Answer:

The real distance would be 16

Step-by-step explanation:

If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.

Answer:

80 miles.

Step-by-step explanation:

Since 1/2 an inch is 5 miles, that would mean one inch is 10 miles.  Now that we know one inch is 10 miles, we can multiply 10 x 8 to get 80.  Therefore, the real distance between the two citied is 80 miles.

Hope it helped and have a great day :)

(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x

Answers

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

I will pick you to be a brainlist and give you 100 points

Answers

Answer:

its b

Step-by-step explanation:

A pattern of ordered pairs is shown below.
(1,3), (3, 6), (5, 12), (7, 24)
If this pattern continues, what is the sixth ordered pair in the pattern?
please answer this fast

Answers

Answer:

(9,48)

Step-by-step explanation:

The x's are being added by 2, while the y's are being multiplied by 2.

It would be ( 9,48) i know that by figuring out that you add to the x and times 2 for the y


If -7d - 5 = 23, then d =

Answers

Answer:

d=-4

Step-by-step explanation:

-7d - 5 = 23

-7d = 28

d = -4

Answer:-6d-3f+5

Step-by-step explanation:

The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.

Answers

Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?

Answers

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

Therefore, the ship is approximately 2399.23 meters away from the shore.

Therefore, the both ships are approximately 1944.19 meters apart.

In a study of simulated juror decision making, Braden-Maguire, Sigal, and Perrino (2005) investigated the type of verdict assigned by study participants after they read a 12-page summation of a case involving a battered woman who had shot and killed her husband. Of the 80 participants, 27 assigned a verdict of guilty, 49 a verdict of not guilty by reason of self-defense, and 4 a verdict of not guilty by reason of insanity. What type of chi-square test would the researchers use to determine if the distribution of verdicts differs from what would be expected by chance

Answers

Answer:

Independence chi-square test

Step-by-step explanation:

The Chi-Square Test for independence is a type of statistical hypothesis test that is used to determine the existence of an association or relationship between nominal or categorical variables

The chi-square is given by the following formula;

[tex]\chi^2 = \XXL\sum \dfrac{\left (O_i - E_i \right)^2}{E_i}[/tex]

The number of participants = 80

The number that assigned a verdict of guilty = 27

The number that assigned a verdict of not guilty by reason of self defense = 49

The number that assigned a verdict of not guilty by reason of insanity = 4

Independence Chi Square test

The table of values is presented as follows;

Expected Value = (Row sum * Column Sum)/(Grand Total)

Expected Value for Guilty = 27 × 80/80 = 27

Expected Value for Self Defense = 49 × 80/80 = 49

Expected value for Insanity = 4 × 80/80 = 4

[tex]\begin{array}{ccc}Category&Observed&Expected\\Guilty&27&27\\SelfDe&49&49\\Insanity&4&4\end{array}[/tex]

What is the volume of the square​ pyramid? 11cm and 11cm

Answers

Answer:

1331 feet3

Step-by-step explanation:

Answer:

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Step-by-step explanation:

If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2.  If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is

V = (1/3)(121 in^2)(11 in) = 443.7 in^3

Which expression is equal to 16?

Answers

Answer:

D

Step-by-step explanation:

so the exponent outside of the parentheses cancels out the fractioned one inside since 3 is the reciprical of 1/3 (basically its 1/3 flipped creating 3/1)

D————————————————————

How do you find the area of shapes like this?

Answers

Answer:

You can make it to a rectangle and a square

Step-by-step explanation:

Answer:

you split it into 2 different parts, then add the area.

the answer to this question is 18in squared

A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answers

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

Find x
Secant tangent angles

Helpppp

Answers

Answer:

x = 139

Step by Step Explanation:

What is the value of three to the fourth power?

Answers

The answer of three to the fourth power is 81

BRAINLIEST
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

Answers

Answer:

X will be your answer be 126 and 110

Step-by-step explanation:

6x3x7=126

y=11x2x5=110

so X>Y

hope it helps!

The cost for a pool membership for a family at a community pool is $350 plus $125 per month. A family paid a total of $1,350. How many
months did the family use the pool?

a-11
b-14
c-8
d-12

Answers

Answer:

The family used the pool for 8 months

Step-by-step explanation:

We know that the family paid a total amount of $1,350 dollars. We also know that they had to pay $350 dollars for joining the community pool. Lastly, they paid a monthly fee of $125 dollars. The value "x" represents months.

With that being said, here's our equation.

350 + 125x = 1,350

Subtract 350 from both sides and you should get this:

125x=1,000

Finally, divide 125 from both sides to get the x value.

x=8

:)

2) Which statement is modeled by 2p + 5 < 11?
(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11

Answers

Answer:

(2) Five added to the product of 2 and p is less than 11.

Step-by-step explanation:

2p + 5 is represented by five added to the product of 2 and p.

This is because 2p is the product, and 5 is added to it.

The less than inequality means that 2p + 5 is less than 11.

So, the correct statement is (2) Five added to the product of 2 and p is less than 11.

I have to do 4 gallons 2 quarts of juice. Second one is 1 3/4 gallons more than the first one and how many are together.

Answers

Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]

Step-by-step explanation:

Given

The first one has 4 gallons and 2 quarts of juice

The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first

First has

[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]

second has

[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]

together it is

[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]

Please help
!!!!!!!!!!!

Answers

jmryhnrfthyj4u5ikjhgtrfrgthyjunr

its D but my answer needs to be 20 characters long hi

Find the measure of angle x. Help!

Answers

Answer:

98 ° is measures angle x.Hope this helps you.

98 is measure x hope it help

State if the two triangles are congruent. If they are, state how you know.

Answers

Answer: yes, aas

Step-by-step explanation:

They have the two angles, and then the side after the angles

Which is a finite geometric sequence?
a. {300, 30, 0.3, 0.003, …}
b. {5, -15, 45, -135, 405}
c. {5, 10, 15, 20, …}
d. {27, 32, 37, 42, 47}

Answers

Answer: {5, -15, 45, -135, 405}

Step-by-step explanation: In a finite sequence, there's a number of limited terms. And those terms have a common ratio, in this case, the common ration is -3. Notice how 5*-3 is -15, and -15*-3 is 45, and so on until 405.

The finite geometric sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a constant factor called the common ratio.

In the finite geometric sequence {5, -15, 45, -135, 405}

In this sequence, each term is obtained by multiplying (-3) to the previous term.

So, the common ratio

= (-15)/ 5

= -3

Therefore, the sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

Learn more about geometric sequence here:

https://brainly.com/question/27852674

#SPJ4

Javeigh lives in Chicago and takes a plane to Los Angeles. When Javeigh left the house it was -12°. When the plane landed in Los Angeles, Javeigh realized it was 30° hotter! What was the temperature when Javeigh landed in Los Angeles?

Answers

answer: -12+30=18 the temperature was 18 degrees when javeigh landed in los angeles

Six Less than four times a number is
-70

Answers

The answer is 286

Step-by-step explanation:

70 x 4 = 280 plus 6 equals 286

what is the difference between 2.23 seconds and 3.13 seconds?

Answers

Answer:

0.9

Step-by-step explanation:

3.13-2.23=0.9

Answer:

Do you mean subtraction?

Step-by-step explanation:

If so

−  0.9 is your answer

Also bts army?

A circle has a radius of four arc in the circle has a central angle of 280° what is the length of the arc

Answers

Answer:

20.096 units

Step-by-step explanation:

Given that,

The radius of circle, r = 4

The measure of central angle = 288°

We need to find the arc length. The formula to find the arc length is given by :

[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]

So, the arc length is equal to 20.096 units.

Find the length of the missing leg in the triangle below.
10 in
a
8 in
I need this answer in 30 minutes

Answers

Answer:

12.8 in

Step-by-step explanation:

a²+b²=c²

10²+8²=164

Find the square root of 164 which is 12.8

May someone possibly help me please

Answers

Answer:

24____________________

Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.

Answers

Answer: The total would be 40.53

Step-by-step explanation:

Find the value of each expression. Show work. a) (4 + 3*2)= (10 -5) b) 3+ (6-2) x 32

Answers

A= 9 b= 224
Just add them to find ur anwser make sure to get these
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