Reasoning Relation r has one element in its domain and two elements in its range. Is r a function? Is the inverse of r a function? Explain.

Answer:

honestly i say foundation of math12 ithink it will come more in handy in life

Answer:

  3.7%

Step-by-step explanation:

You want the annual interest rate that results in an investment of $6000 growing to a value of $7351.81 in 5.5 years, when the interest is compounded monthly.

The value of an account in which principal P is invested for t years at annual rate r compounded n times per year is ...

  a = P(1 +r/n)^(nt)

For this problem, we have ...

These values make the equation be ...

  7351.81 = 6000(1 +r/12)^(12 ·5.5) . . . . . . equation with given values

  (7351.81/6000) = (1 +r/12)^66 . . . . . . . . divide by 6000

  (7.35181/6)^(1/66) = 1 +r/12 . . . . . . . . . . rewrite fraction, take 66th root

  (7.35181/6)^(1/66) - 1 = r/12 . . . . . . . . . subtract 1

  (12)((735181/6)^(1/66) -1) = r ≈ 0.03700003

The interest rate is about 3.7%.

Answer:

2,992,646,116

Step-by-step explanation:

I am big brain

Answer:

2992646116

Step-by-step explanation:

multiply starting with 98663

The inverse of an exponential function with a base e is the logarithm.

A logarithm is defined simply?

How does exponential growth utilise e?

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The height of the hill is 12.8 cm.

What is Gravitational potential energy?

The gravitational potential energy of an object is given by:

U = mgh

where,

m is the mass of the object.

g is the acceleration of gravity.

h is the height of the object.

Given that;

The potential energy = 100 J,

In this problem, we have;

The potential energy of the person is = U = 100 J

The mass of the person = m = 80 kg

Now, Solving for h, we find at what height the person is:

h = U /mg

h = 100 / 80*9.8

h = 12.8 cm

Hence, The height of the hill is 12.8 cm.

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Answer:

D

Step-by-step explanation:

Answer:

D [tex]y = - 5 - 17[/tex]

Step-by-step explanation:

To make y the subject of formula in:

[tex]5x + y = - 17[/tex]

Mover 5x to the other side of the equation which makes it -5x due to the equality sign

Therefore:

[tex]y = - 5 - 17[/tex]

Answer:[tex]f\left(x\right)\le \:0[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}[/tex]

The given equation is 8p + 4 = −9 + 7p.The value of p is -13.

The required solution for the given equation is p = -13

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1.There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Now the given equation is,

8p + 4 = −9 + 7p

Solving them,

Taking variables to one side and constant to another, we  get

8p-7p=-9-4

p=-13

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v(x) = 12 - 2x - 5

Answer:

domain is horizontal and range is vertical

Step-by-step explanation:

domain is left to right so you look for farthest point on the left side and range you look for the highest point

Answer:

x<-5

Step-by-step explanation:

Length of a side of original square = 5 inches

Let's take the value of the length of the original square be to x.

As it is known that the area of the larger square has  = 49 square inches, and the side are lengthened by 2 inches from the original square side.

So we have the expression:

[tex](x + 2)^{2}[/tex] = 49

x + 2 = 7

x= 5

Therefore the original side of the square is 5 inches.

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Answer:

i think its 10 sets of 2 winners

Step-by-step explanation:

Let [tex]x[/tex] be the "given angle" mentioned here. Then its complement indeed has measure [tex]90-x[/tex], and its supplement [tex]180-x[/tex].

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."

[tex]\implies 180 - x = 10 + 2 (90 - x)[/tex]

Solve for [tex]x[/tex].

[tex]180 - x = 10 + (180 - 2x)[/tex]

[tex]180 - x = 190 - 2x[/tex]

[tex]2x - x = 190 - 180[/tex]

[tex]\boxed{x = 10}[/tex]

the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

We are given an equation:

√(2 x +9) - √x = 3

√(2 x +9) = 3 + √x

Raise both sides to the power 2, we get that:

2 x + 9 = 9 + x + 6√x

x = 6√x

Squaring both sides again, we get that:

x² = 6 x

x² - 6 x = 0

x ( x - 6) = 0

x = 0 or x = 6.

Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

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Answer:

10

Step-by-step explanation:

3 = [tex]\frac{30}{10}[/tex] , then

[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]

= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )

= [tex]\frac{30}{3}[/tex]

= 10

Answer:

aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Step-by-step explanation:

A geometric sequence can be expressed recursively using the following general equation

aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence

r is the common ratio = aₙ/aₙ₋₁

Here we have the terms 3, 6, 12, 24, 48

The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2

The first term a₁ =  3

So the recursive relation is
aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Answer:

38°

Step-by-step explanation:

1. Angles subtended at the circumference is half at the centre. Therefore angle at the centre is 61x2=122

2. Isosceles triangle have equal base angle. 19°

3. Tangent subtends 90° with the radius.

4. 90-19=71

5. 71x2=142°

6. Angles in a triangle add up to 180°

180-142=38°

The regular price of the sofa if 66% is given off, is $680.00

What is regular price?

The regular price of the sofa is the price at which it is sold without considering the coupon of 66%, in essence, it is 100% of the original price of the sofa, in short, if 66% is given off, then the sale price is 34% of the original price

34% of regular price=$231.20

1% of regular price=231.20/34

1% of regular price=$6.80

100% of regular price=$6.80*100

100% of regular price=$680

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Full question

A sofa is on sale for 66% off. the sale price is $231.20 . what is the regular price?

:

Answer:

d is the correct answer

Step-by-step explanation:

m∠ABC = 68°; m∠DEF = 112°

Answer:

D is correct

Step-by-step explanation:

Supplemental angles add to 180

6x + 8 + 12x -8 = 180  Combine line terms

18x = 180  Divide both sides by 18

x  = 10

Substitute 10 in for x

ABC

6x + 8

6(10) + 8

60 + 8

68

DEF

12x - 8

12(10) - 8

120 - 8

112

The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

According to the statement

We have to find that the linear equation.

So, For this purpose, we know that the

The systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions.

From the given information:

Given the systems of equations;

y = 9x²

and

x + y = 5

From equation 2:

y = 5 - x

Substitute into equation 1 to have;

5 - x = 9x²

From the resulting equation, we are able to see that the system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

So, The system of equations that's corresponding to the given function are y = 5 - x and 5 - x = 9x².

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Value for f(x)  = x² - 12x + 35

Given :

             (f⁰g)(x) = x²-6 x+8

                 g(x) = x-3

Now ,

            (f⁰g)(x) = f(g(x))

         x²-6 x+8 = f(x-3)

let x = x-3

              f(x)  = (x-3)² - 6(x-3) + 8

              f(x)  = x² + 9 - 6x - 6x + 18 +8

              f(x)  = x² - 12x + 35

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Considering the numeric values of the function, the points and ordered pairs are given as follows:

To find the numeric value of a function, we replace each instance of the variable by the desired value.

An ordered pair is given by:

(x, f(x)).

In which f(x) is the numeric value.

For this problem, the function is given by the following rule:

y = 3x + 1.

When x = 2, the numeric value is given by:

y = 3 x 2 + 1 = 6 + 1 = 7.

Hence the ordered pair is (2,7).

When x = 3, the numeric value is given by:

y = 3 x 3 + 1 = 9 + 1 = 10.

Hence the ordered pair is (3,10).

When x = -1, the numeric value is given by:

y = 3 x -1 + 1 = -3 + 1 = -2.

Hence the ordered pair is (-1,2).

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Answer:

C 2

Step-by-step explanation:

Slope is change is y over the change in x

[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

C. 2

Step-by-step explanation:

Answer:

11 more yards per minute on Path B.

Step-by-step explanation:

Path A: 672 yards in 6 minutes = 112 yards per minute.

Path B: 984 yards in 8 minutes = 123 yards per minute.

123 - 112 = 11 yards per minute longer on Path B.

Answer:

156 yards per minute

Step-by-step explanation:

first off remember to have a label

it is change in Y over change in X so

984-672/ 8-6

you could get 312/2

which equal 156

I attached a photo to make it clear

Answer:

108°

Step-by-step explanation:

Answer:

the answer isssssssssssssß

Answer:

it's either 6 or -6 because if uts Like negative and positive then it should be either one of those

Answer:

Step-by-step explanation:

34