What is an equation of the line that passes through the points (-6,2) and (-6, 6)?
Mark brainliest! Hurryyy

The solution for g(7) in the piecewise function g(x) = (x + 1)(x - 5) is 16

From the question, we have the equation that can be used in our computation to be a piecewise function

This piecewise function is represented as g(x)

Also from the question, we have the following function that we are to compute

g(7)

This means that the value of x is 7, and we calculate g(x) when x = 7

To do this, we make use of an equation in the piecewise function, where the domain occupies x = 7

This domain is x c (2, oo)

And the function is

g(x) = (x + 1)(x - 5)

Substitute the known values in the above equation, so, we have the following representation

g(7) = (x + 1)(x - 5)

So, we have the following equation

g(7) = (7 + 1)(7 - 5)

There is no constant to add or subtract to both sides of the equation

Also, there is no factor to multiply or divide from both sides of the equation

So, we have the following representation

g(7) = (7 + 1)(7 - 5)

Solving further, we have

g(7) = 16

Hence, the solution is 16

Read more about piecewise function at

https://brainly.com/question/3628123

#SPJ1

Answer:

-7.526 or 2.126

Step-by-step explanation:

When finding local maxima and minima from the graph of a derivative, we need to identify the points where the derivative changes sign. These points represent the locations of local maxima and minima on the original function.

When finding local maxima and minima from the graph of a derivative, we need to understand the relationship between the original function and its derivative. The derivative of a function represents the rate of change of the function at any given point. Local maxima and minima occur where the derivative changes sign from positive to negative or from negative to positive. At these points, the slope of the original function changes from increasing to decreasing or from decreasing to increasing.

By following these steps, we can identify the local maxima and minima from the graph of a derivative.

About find here:

https://brainly.com/question/22188924

#SPJ11

Identify the critical points, Determine the intervals, Analyze the sign changes and Check the endpoints

To find the local maximum and minimum points from the graph of a derivative, you can follow these steps:

Identify the critical points: These are the points where the derivative is either zero or undefined. Find the values of x where f'(x) = 0 or f'(x) is undefined.

Determine the intervals: Divide the x-axis into intervals based on the critical points and any other points of interest. Each interval represents a section of the graph where the derivative is either positive or negative.

Analyze the sign changes: Within each interval, observe the sign of the derivative. If the derivative changes sign from positive to negative, there is a local maximum at that point. If the derivative changes sign from negative to positive, there is a local minimum at that point.

Check the endpoints: Also, check the derivative's sign at the endpoints of the graph. If the derivative is positive at the leftmost endpoint and negative at the rightmost endpoint, there is a local maximum at the left endpoint. Conversely, if the derivative is negative at the leftmost endpoint and positive at the rightmost endpoint, there is a local minimum at the left endpoint.

By following these steps and analyzing the sign changes of the derivative within intervals, as well as checking the endpoints, you can identify the local maximum and minimum points from the graph of the derivative.

Learn more about: local maximum

https://brainly.com/question/29404086

#SPJ11

The volume of a stack of 9 books is 1368.75 cubic inches.

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

More on volume of stacked books can be found here: https://brainly.com/question/1058070

#SPJ1

Answer:

Step-by-step explanation:

-x - 1 = x + 3

-2x - 1 = 3

-2x = 4

x = -2

y = -2 + 3

y = 1

(-2, 1)

Answer:

y= ½x +5

Step-by-step explanation:

Slope- intercept form:

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

The interest rate of an investment made that obtains $136.85 in interest compounded quarterly on $320 over four years is 69.44%.

In Mathematics and Financial accounting, the compound interest on an investment can be calculated by using this mathematical equation (formula):

\(A(t) = P(1 + \frac{r}{n} )^{nt}\)

Where:

By substituting, we have the following:

\(136.85 = 320(1 + \frac{r}{4} )^{4 \times 4}\\\\136.85 = 320(1 + \frac{r}{4} )^{16}\)

136.85/320 = (1 + 0.25r)¹⁶

136.85/320 = (1.25r)¹⁶

0.42765625 = (1.25r)¹⁶

r = 0.6944 = 69.44%

Read more on interest rate here: brainly.com/question/26343258

#SPJ1

Complete Question:

At what interest rate was an investment made that obtains $136.85 in interest compounded quarterly on $320 over four years?

we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

To know more about derivative visit:

brainly.com/question/29096174

#SPJ11

The coordinates for point B are 7 = √(x - 5)² + (y - 4)².

What is the distance formula?

The distance formula is used to calculate the length of the line which joins the two points in an x−y plane. The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line.

Here, we have

Given: Segment AB Has point A located At (5, 4). If The Distance from A To B Is 7 units.

To find the distance between any two the following formula is used.

D = √(x₂ - x₁)² + (y₂ - y₁)²

7 = √(x - 5)² + (y - 4)²

Hence, the coordinates for point B are 7 = √(x - 5)² + (y - 4)².

To learn more about the distance formula from the given link

https://brainly.com/question/24386522

#SPJ4

Answer:

Slope of l:    

0.5

Slope of m:  

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer:

(Did it on edge)

Step-by-step explanation:

The required rate of change in temperature at the bottom of the mountain is -0.5°.

Given that,
rate of change of temperature at the top of the mountain is -2.5°C.
To determine the rate of change of temperature at bottom of the mountain which is 1 / 5 times the rate of change of temperature at the top of the mountain.

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
The rate of change of temperature at bottom of the mountain is 1 / 5 times of the rate of change of temperature at the top of the mountain.
So,
The rate of change of temperature at bottom of the mountain,
= 1 / 5 * -2.5
=  - 0.5°C

Thus, the required rate of change in temperature at the bottom of the mountain is -0.5°.

Learn more about rate of change here: https://brainly.com/question/13103052

#SPJ1

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

To learn more about self-financing: -brainly.com/question/31403509

#SPJ11

Answer:

a. no

b. no

c. no

d. yes

Step-by-step explanation:

Case I

x = -1

y = -4

7( -1) + 4 ( -4) = -23

-7 - 4 = -23

- 11 \(\neq\) -23

Case II

x = 2

y= 6

7 (2) + 4 ( 6) = -23

14 + 24 = -23

38 \(\neq\) -23

Case III

x = 6

y = -7

7 ( 6) + 4 (3) =- 23

42+ 12 = -23

54 \(\neq\) -23

Case IV

x = -5

y = 3

7 (-5) + 4 ( 3) =- 23

-35 + 12 = -23

-23 = -23

Answer:

Line (H,J) is perpendicular to a slope of \(\frac{1}{2}\).

Step-by-step explanation:

Line (A,B) has a slope of \(\frac{1}{2}\) and line (H,J) is perpendicular to (A,B)

ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST

Answer:

put ur protactor from the middle to where its up to then look at where the line is and you will get your answer

Answer:

Step-by-step explanation:

1. PQR is an equilateral triangle formed by 3 diagonals of the cube. Therefore, it would be 60 degrees. 2. An angle which measures less than 90° is called an acute angle. The measure between 0° to 90°. In the picture below, the angle formed by the intersection of PQ and QR at Q forms an angle PQR which measures 45°. Thus, PQR is called an acute angle.

To prove angle abd and angle cbd are congruent using a proof by contradiction, the assumption statement that starts the proof is Angle abd and angle cbd are not congruent.

Proof by contradiction is a technique used in logic and mathematics to verify the truth or validity of a claim by demonstrating how presuming the proposition to be incorrect results in a contradiction.

A proof by contradiction first starts with the negation, or opposite of the hypothesis.

In context of the problem, the proof by contradiction will start by the opposite . Since we are to prove that angle abd and angle cbd are congruent, the opposite is Angle abd and angle cbd are not congruent.

Learn more on proof by contradiction at:

https://brainly.com/question/16813112
#SPJ1

The numerical value of each expression,

a. cosh(ln(5)) = 2.50258.

b. cosh(5) = 74.20995.

(a) Using the identity cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2 and substituting x = ln(5), we get:

To find cosh(ln(5)), we first evaluate ln(5) which is approximately equal to 1.60944.

cosh(ln(5)) = (\(e^{(ln(5)}\)) + \(e^{(-ln(5)}\)))/2

= (5 + 1/5)/2

= 2.50258

Therefore, cosh(ln(5)) = 2.50258 (rounded to five decimal places).

(b) Using the identity cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2 and substituting x = 5, we get:

cosh(5) = (\(e^5\) + \(e^{(-5)}\))/2

= (148.41316 + 0.00674)/2

= 74.20995

Therefore, cosh(5) = 74.20995 (rounded to five decimal places).

Learn more about the numerical value at

https://brainly.com/question/31043236

#SPJ4

your probably going to get the same answer each time.

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

Know more about graphs here: https://brainly.com/question/17267403

#SPJ4

By the associative property, the equation 1+(k+9) is equivalent to 1 + (9 + k) and (1 + k) + 9.

According to the associative property of addition, which is a basic tenet of arithmetic, the arrangement of the terms in an addition expression has no bearing on the sum. In other words, any grouping we choose will get the same result if the sum of three or more numbers is known.

More formally, the associative property of addition can be stated as follows:

For any three numbers a, b, and c, (a + b) + c = a + (b + c)

Now in the given question, we can regroup the sum 1 + (k + 9) as (1 + k) + 9 or as 1 + (k + 9), and both expressions are equivalent.

So, the expression 1 + (k + 9) is already in its simplified form and does not need any further simplification using the associative property.

To know more about associative property of addition

brainly.com/question/28378229

#SPJ4

Answer:

Paris F, Abraham Lincoln belongs to none of these sets, and The Eiffel Tower is in more than one of these sets

Step-by-step explanation:

Answer:

A,D,E

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

F(x) = y

When y= -2

x= -5

Answer:

the answer is 7,184.47

Step-by-step explanation:

Step 1: Problem

Compound interest

Step 2: Concept

Step 3: Method

A = ?

r = 3% = 3/100 = 0.03

t = 4 years

P = $ 1,000

The value of the missing sides are

x = -12

y = 109

z = -102

Consecutive Interior Angles: These are the angles that are on the same side of the transversal and inside the parallelogram. They are supplementary, which means their sum is 180 degrees.

-z + 1 + 77 = 180

-z = 180 - 1 - 77

-z = 102

z = -102

Alternate Interior Angles: These are the angles that are on opposite sides of the transversal and inside the parallelogram. They are also congruent, meaning they have the same measure.

y - 6 = -z + 1

y - 6 = 102 + 1

y = 103 + 6

y = 109

Also

-6x + 5 = 77

-6x = 77 - 5

-6x = 72

x = -12

Learn more about parallelogram at

https://brainly.com/question/20526916

#SPJ1

Answer:

\(Given~quadratic ~function : 1=x^2-6x\)

\(here,a=1,b=-6\)

\(so, the~numbers~which ~we ~need ~to ~add....\)

➜ \((\frac{b}{2} )^2\)

➜ \(=(\frac{-6}{2})^2\)

➜\(=(-3)^2\)

➜ \(=9\)

---------------------

hope it helps...

have a great day!!

Answer:A

Step-by-step explanation:

The initial height is 12 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3 (x + 4)² + 12

The constant value = 12

The constant in the simplified form of the expression represents the initial height, in feet, of the ball.

So,

The initial height is 12 feet.

Thus,
Initial height = 12 feet.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

3x-8y=32

Step-by-step explanation:

The volume of the balloon before the addition of the extra gas was 7.01 liters.

We will use ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant and T is the temperature.

Given data:

Initial number of moles of helium in the balloon (before addition) = 4.51 moles

Additional number of moles of helium added = 1.25 moles

The total number of moles of helium in the balloon (after addition) is:

= 4.51 moles + 1.25 moles

= 5.76 moles

Volume of the balloon after addition = 8.97 liters

To find the volume of the balloon before the addition, we can rearrange the ideal gas law equation to solve for V:

V = (nRT)/P

The volume before the addition will be found using: V_initial = (n_initial * V_final) / n_final

V_initial = (4.51 * 8.97) / 5.76

V_initial = 7.02 liters.

Read more about volume

brainly.com/question/27710307

#SPJ4