3.
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: 6x2; linear term: x; constant term: −12

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

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

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

Answer:

The relationship will be a solid line.

Step-by-step explanation:

The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.

The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.

Let the number of lunches you buy be = x

Let the amount remaining in the card be = y

So, equation forms:

When you buy 1 lunch, or x = 1

When x = 2

When x = 3

We can see that the decrease is gradual and same.

You can also see the graph attached that a straight line is formed.

Answer:

Step-by-step explanation:

Solve each to confirm answer

a.

b.

c.

d.

Answer:

Option B

Step-by-step explanation:

[tex]\\ \sf\longmapsto x^2-2x+2=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{4-8}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{-4}}{2}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\pm 2i}{2}[/tex]

[tex]\\ \sf\longmapsto x=1\pm i[/tex]

Verified

Answer:

m=15

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

All of these exponential function problems use the same equation, but with different plug-in values. These can be easily accommodated by a spreadsheet or graphing calculator.

The general form of the value after t years is ...

  (initial value)×(1 +annual growth rate)^(years)

The growth rate is positive for an increase, negative for a decrease.

a) Initial value: 22385; growth rate: -0.14; years: 10

  value after 10 years: $22385×(1-0.14)^10 = $4953.84

__

b) initial value: 290; growth rate: 0.09; years: 5

  population after 5 years: 290(1+.09)^5 = 446

__

c) initial value: $4000; growth rate: -0.10; years: 8

  value after 8 years: $4000(1 -0.10)^8 = $1721.86

Selling the car for $1500 is selling it for less than its estimated value. That may not be a good decision.

_____

Additional comment

The property value of the car is not the only consideration when evaluating the sale. Other costs related to the car may come into play, and there may be tax implications.

Answer:

0.3 with the hat ? the answer is first no, then it's a repeated decimal.

Step-by-step explanation:

I don't know how to represent it on a nomberline

I

Answer:

50,000(1+0.09)^8

50000(1.99256)

A=99,628.13

Answer:-4.683

Step-by-step explanation:

Took the test

Answer:

Step-by-step explanation:

lets put the small pumpkin as x that means medium is 3x and large is 6x

so we have a equation

x+6x+3x=20

combine them

10x=20

divide by 10

x=$2

Answer:

2

Step-by-step explanation:

you really should stop the noetic tests

Answer:

Step-by-step explanation:

Solve for r.

17r–13r=20

4r = 20

r = 20 : 4

r = 5

Answer:

tan

(

x

)

,  

x

=

−

π

3

x

+

2

y

+

z

x

+

y

+

z

,  

x

=

2

,  

y

=

3

,  

z

=

1

csc

(

x

)

,  

x

=

π

Answer:

6

Step-by-step explanation:

X+8 first substitute x

-2+8 solve

=6

The error of the evaluation comes from the fact that Sin 52° = 0.7880.

According to the question;

By evaluation;

The error can be determined by evaluating; the inverse sine of 0.9866.

Read more;

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Answer:

7(x-y)

Step-by-step explanation:

difference of x and y=x-y

product of 7=7 times the expression

so,

Answer is 7(x-y)

Answer:

The answer is 7.48 or 7.5

Step-by-step explanation:

If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.

Answer:

no entiendo, perdóname, suerte

Answer:

Step-by-step explanation:

Given two points:

The distance between them is the difference of y- coordinates since x- coordinates are same:

An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

b + 23 = 114

Add -23 both sides

b + 23 - 23 = 114 - 23

b + 0 = 91

b = 91

Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".

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Answer:y = 3(-2) - 7

Step-by-step explanation:

Answer:

down is #0.21 while mortage is

Answer:

Check the attached image for the sake of my sanity typing integrals in these.

Notes on the red marks.

1. From the first to the second passage I multiplied top and bottom by 2. The bottom one stood outside the integral by linearity, the top got inside to get the derivative of the denominator.

2. Quick y substitution, it's a dy/y which should get integrated as the logarythm of the absolute value. This is a situation where you can skip it since you know that you are dealing with positive values (1 is positive, and 1 plus something squared is even greater than 1 which was positive already).

The area as x diverges also diverges

Answer:

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Step-by-step explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]

You can solve whichever one you want, but I'll do both to be sure.

[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]

Now for the second one:

[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]

a = 22, so now you can solve for the side lengths.

[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]

Step-by-step explanation:

a+b^2 =a^2+b^2+2ab

-2ab and+2ab cut

Answer:

2/3 ​sandwich.

Step-by-step explanation:

No Explanation

Answer:

58

Step-by-step explanation:

Answer:

The correct form is [tex]y = -2x + 24[/tex]

Step-by-step explanation:

First we need to interpret the equation of Nolan.

How you can see the initial amount in the bank is incorrect because Nolan started with 24 instead of 12.

So the correct form of the equation is:

[tex]y = -2x + 24[/tex]

Answer : 31

Explanation : Every numbers have a gap of 6 as you can see:

1 + 6 = 7

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

So,

25 + 6 = 31

Hope This Helps You!

Answer:

y=4x+6

Step-by-step explanation:

slope intercept form y=mx+b

The total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x, according to the following equation:

y = 6 + x

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the following equation, the total number of pies Robert may bake, y, is determined by the number of cups of sugar he purchases, x:

y = 6 + x

This equation can be read as: "The number of pies Robert can bake, y, is equal to the number of pies he baked before he ran out of sugar, which is 6, plus the number of additional cups of sugar he buys, x."

For example, if Robert buys 2 additional cups of sugar, he can bake a total of 6 + 2 = 8 pies.

If he buys 3 additional cups of sugar, he can bake a total of 6 + 3 = 9 pies, and so on.

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Answer:

Step-by-step explanation:

67.5

Answer:

At the value of x = 3 the function H(x) is undefined. (answer is 3)

Step-by-step explanation:

h (x) = 1/(x-5)2 + 4 (x-5) +4

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

(x -5)2 +4 (x -5 ) +4 = 0

x2 -6x +9 =0

x2 - 3x - 3x +9 = 0

(x - 3)2 = 0

So x= 3

At x = 3 the function H(x) is undefined. (3 is your answer)