what does it mean to be a function how can you determine functionality of a relation or eqaution graph

When applying a loan, Collateral can be beneficial to the borrower because:   (C). giving lenders protection against financial loss and more reason to approve loans

Loan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.

collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.

it is very important because the lender is secured that if you cant repay the loan he takes the asset.

In conclusion, when taking a loan, collateral is important.

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Explanation:

Expand out the expression using the FOIL rule

(x+7)(x-7)

x^2 - 7x + 7x - 49

1x^2 + 0x - 49

We see that a = 1, b = 0, c = -49

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Another way to expand is to do the following

(x+7)(x-7)

y(x-7) .... let y = x+7

xy - 7y .... distribute

x( y ) - 7( y )

x( x+7 ) - 7( x + 7 ) ... replace y with x+7

x^2 + 7x - 7x - 49 .... distribute

1x^2 + 0x - 49

We get the same result.

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Lastly, a shortcut can be used as yet another method to expand.

The shortcut is the difference of squares rule

(a + b)(a - b) = a^2 - b^2

In this case, a = x and b = 7, so,

(a + b)(a - b) = a^2 - b^2

(x + 7)(x - 7) = x^2 - 7^2

(x + 7)(x - 7) = x^2 - 49

(x + 7)(x - 7) = 1x^2 + 0x - 49

The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

Generally, a point is represented as:

(x,y)

The line x = -6 means that:

(-6, y)

So, we calculate the distance between (x,y) and (-6, y) as follows:

[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]

This gives

[tex]d = \sqrt{(x + 6)^2 }[/tex]

Next, we calculate the distance between (6,0) and (x, y) as follows:

[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]

This gives

[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]

Equate both distance expressions

[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]

Square both sides

[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]

Expand

[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]

Evaluate the like terms

[tex]12x = - 12x + y^2[/tex]

Add 12x to both sides

[tex]y^2 = 24x[/tex]

Make x the subject.

[tex]x = \frac 1{24}y^2[/tex]

Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

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Answer:

After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Step-by-step explanation:

We need to solve the equation: [tex](45x-7)4x=57[/tex]

Solving:

[tex](45x-7)4x=57[/tex]

Multiply 4x with terms inside the bracket

[tex]180x^2-28x=57[/tex]

[tex]180x^2-28x-57=0[/tex]

We need to solve above equation to find value of x

Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a=180, b=-28 and c=-57

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]

Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]

Answer:

15,000g

Step-by-step explanation:

Answer: 15000 grams

Step-by-step explanation: To convert Kilograms to Grams, you'll need to multiply the mass value by 1000.

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

Answer:

n+n= 2n

[tex](3n) ^{2} = 9n ^{2} [/tex]

5(n+2)=5n+10

2(n+1)=2n+1

[tex]n \div 4 = \frac{n}{4} [/tex]

[tex]n(n - 2 = n{2} - 2n[/tex]

Step-by-step explanation:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

Answer:

answer 28ab³ I think maybe

The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

Here,

The formula to calculate the area of a right-angled triangle is:

Area = (1/2) * base * height

In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].

Now, let's substitute these values into the formula:

Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]

Now, simplify the expression:

Area = [tex]2 * a^2b * 6ab^3[/tex]

To find the monomial representation, multiply the coefficients and add the exponents of like terms:

Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]

Finally, simplify the exponents:

Area = [tex]12a^3b^4[/tex]

So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].

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Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

Answer:

16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Step-by-step explanation:

Mean = 80 g

Standard Deviation = 2

We need to find percent of the cockroaches have weights less than 78 grams so, x=78

First we will find z using formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Putting values of x, mean and Standard Deviation to find z

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]

We need to find P(z<-1)

Looking in the normal distribution table

[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]

So, 16% of the cockroaches have weights less than 78 grams.

Option A is correct.

Answer: I think its C

Step-by-step explanation:

Answer:

$36

Step-by-step explanation:

Answer:

$36.

Step-by-step explanation:

(Hot dog) 2 for 5: Unit price is 5/2 = 2.5

(Soda) 3 for 3 so unit price is 1 for 1.

6 sodas = 6 dollars

12 Hot dogs = 12. x 2.5 = 30 dollars.

Price for both = 30 + 6 = 36.

Answer:

5x² - 36x - 81

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define expression

5x² - 36x - 81

Step 2: Simplify

We cannot simplify the expression down further.

Answer:

north

Step-by-step explanation:

Answer:it would be 15 quarters and 10 dimes

Step-by-step explanation:

15 quarters is 3.75 and 10 dimes is $1, add them up you get $ 4.75

Answer:

15 quarters and 10 dimes

Step-by-step explanation:

25x + 10(25-x) = 475

x = 225/15

x = 15

So that has to mean he has 10 dimes

Hope this helps!!!

Answer:

Answer is D

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation:

Answer:

2, 3, 6, 7

Step-by-step explanation:

Answer:

x < 16

Step-by-step explanation:

4x < 64

To solve for x, we simply divide by 4 on both sides. This results us with:

x < 16

#teamtrees #WAP (Water And Plant)

4x <64

Divide both sides by 4:

x < 16

Answer:

I believe the answer is the triangle has an area of 256 inches. I may be wrong though.

Step-by-step explanation:

Answer:

128  in²   but only type 128 to complete the answer

Step-by-step explanation:

Answer:

The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1

Step-by-step explanation:

ttygytex x so r5f3ygthttg

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

⇒ x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

⇒ x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

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Answer:.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

Answer:

67

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

Answer:

The answer is -6.

Step-by-step explanation:

You have to substitute x = -4 into the expressions :

3x - x + 2

= 3(-4) - (-4) + 2

= -12 + 4 + 2

= -6