m+4= -12
Please answer I really need help!! Solve each equation. Put your answer in the form of m=__

Answer:

what's the question? it could be both

The average rate of change of the function over the interval is -6

From the question, we have the following parameters that can be used in our computation:

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

Read more about average rate of change at

brainly.com/question/17131025

#SPJ1

The Greatest common Factor of 16 and 32 is 16

Greatest common factor is the largest factor that all the numbers share. For example, 12, and 18 have three common factors: 2, 3and 6 the greatest is 6.

Similarly the factors of 16 and 32 are shown below;

factors of 16 are : 2,4,8,16

factors of 32 are : 2,4,8,16,32

The common factors are: 2,4,8,16

and the largest number among the common factors is 16

Therefore the greatest common factor of 16 and 32 is 16

learn more about greatest common factor from

https://brainly.com/question/219464

#SPJ1

Answer:

y = 4x - 2

Step-by-step explanation:

y = mx + b form. Slope is represented by m, so you would have y = 4x + b, and the y intercept is -2, so y = 4x + (- 2), so you can really just say y = 4x - 2

Given: The equation below

To Determine: The ordered pair (x,y) for the given equation

To achieve this, we will find both the intercept on y-axis and x-axis.

Calculate the intercept on the x-axis: To get the intercept on the x-axis, make x = 0 in the equation, and find the corresponding value of y as shown below:

The coordinate of the intercept on the x-axis is (0,5)

Calculate the intercept on the y-axis: To get the intercept on the y-axis, make y = 0 in the equation, and find the corresponding value of y as shown below:

Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

for such more question on percentage

https://brainly.com/question/24877689

#SPJ8

Answer:

  A.  opens downward; vertex (3, 11)

Step-by-step explanation:

The leading coefficient is negative (-1), so we know the parabola opens downward.

The vertex in the form ...

  A(x) = a(x -h)² +k

is (h, k). Comparing to the given equation, we find (h, k) = (3, 11).

The vertex is (3, 11).

The function f(x) = 4x² + 12x + 9 has an inverse f⁻¹(x) = -(3 - √x)/2 , (3 + √x) / 2 and the restriction of it's domain is for all values of x

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x.

The function f(x) = 4x² + 12x + 9 has an inverse of

f⁻¹(x) = -(3 - √x)/2 , (3 + √x) / 2

2).

The domain of the given function is for all values of x and can be represented in function notation as

domain = (-∞, ∞)

3) The inverse of the domain function is for all values greater than or equal to x or can be represented as [0, ∞)

Learn more on inverse of function here;

https://brainly.com/question/3831584

#SPJ1

Answer:

1) No, as it is not a one-to-one function.

2) The domain should be restricted to either the left or the right of the vertex.

\(\textsf{3)} \quad f^{-1}(x)=\dfrac{-3 + \sqrt{x}}{2}\)

Step-by-step explanation:

To determine if the function y = 4x² + 12x + 9 has an inverse, we need to check if it is a one-to-one function.

A function has an inverse if and only if it is one-to-one, meaning that each input value (x) corresponds to a unique output value (y), and no two different x-values produce the same y-value.

To check if y = 4x² + 12x + 9 is one-to-one, we can use the horizontal line test. If any horizontal line intersects the graph of the function at more than one point, the function is not one-to-one, and hence, it does not have an inverse.

The function y = 4x² + 12x + 9 is a quadratic function, and all quadratic functions have a U-shaped graph, which means any horizontal line intersects the graph at two points. Therefore, the function y = 4x² + 12x + 9 is not one-to-one, and it does not have an inverse.

\(\hrulefill\)

To allow the function y = 4x² + 12x + 9 to have an inverse, we need to restrict its domain to make it one-to-one. Since the function is a parabola that opens upwards and has its vertex at the minimum point, we can restrict the domain to only consider the portion of the parabola to the right (or left) of the vertex. By doing this, we can make the function one-to-one and allow it to have an inverse.

\(\hrulefill\)

The x-coordinate of the vertex of a quadratic function in the form y = ax² + bx + c is x = -b/2a. Therefore, the x-coordinate of the vertex of the given function is:

\(x=-\dfrac{12}{2(4)}=-\dfrac{12}{8}=-1.5\)

To find the y-coordinate of the vertex, substitute x = -1.5 into the given function:

\(y=4(-1.5)^2+12(-1.5)+9\)

\(y=4(2.25)+12(-1.5)+9\)

\(y=9-18+9\\\)

\(y=0\)

Therefore, the vertex of given function is (-1.5, 0).

Let's restrict the domain to the right of the vertex.

Therefore, the restricted domain is [-1.5, ∞).

To find the inverse of the domain-restricted function, swap x and y:

\(x = 4y^2 + 12y + 9\)

Switch sides:

\(4y^2 + 12y + 9=x\)

Subtract x from both sides:

\(4y^2 + 12y + 9-x=0\)

Now we can use the quadratic formula to find y, where a = 4, b = 12 and c = (9 - x):

\(y=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\)

\(y=\dfrac{-12 \pm \sqrt{(12)^2-4(4)(9-x)}}{2(4)}\)

\(y=\dfrac{-12 \pm \sqrt{144-144+16x}}{8}\)

\(y=\dfrac{-12 \pm \sqrt{16x}}{8}\)

\(y=\dfrac{-12 \pm 4\sqrt{x}}{8}\)

\(y=\dfrac{-3 \pm \sqrt{x}}{2}\)

Replace y with f⁻¹(x):

\(f^{-1}(x)=\dfrac{-3 \pm \sqrt{x}}{2}\)

The range of the inverse function is the domain of the original function.

As the domain of the original function is restricted to [-1.5, ∞), then the range of the inverse function is also restricted to [-1.5, ∞).

Therefore, the inverse of the domain-restricted function is:

\(f^{-1}(x)=\dfrac{-3 + \sqrt{x}}{2}\)

Answer: 28 and 45

Step-by-step explanation: you add 11 and 17 to get 28 and then add 28 and 17 to get 45

Answer:

a) 12

b) 129

Step-by-step explanation:

a)

\(w, x \in \mathbb{Z}_{\ge 0}\)

\(w>50\\x<40\)

For the smallest value of \(w-x\), we gotta figure out the smallest value for w and the highest value for x.

\(w>50 \Rightarrow \text{ smallest value is } 51\)

For \(x\), once \(-(-x)=x\), we conclude that \(x\) cannot be negative and therefore, \(x=39\).

\(51-39=12\)

b)

\(y, z \in \mathbb{Z}_{\ge 0}\)

\(y<70\\z\leq 60\)

For the largest value of \(y+z\), we gotta figure out the highest value for y and z.

\(y<70 \Rightarrow \text{ highest value is } 69\)

\(z\leq 60 \Rightarrow \text{ highest value is } 60\)

\(y+z=69+60=129\)

According to the popular legend, Archimedes discovered a principle of buoyancy while taking a bath.

what was his discovery ?

He realized that the volume of water displaced by his body was equal to the volume of his body. This insight led him to formulate the principle of buoyancy, which states that an object placed in a fluid experiences an upward force equal to the weight of the fluid it displaces.

Archimedes was reportedly so excited by this discovery that he ran through the streets of Syracuse shouting "Eureka!" (meaning "I have found it" in Greek). This principle has numerous practical applications, including in shipbuilding and the design of submarines and other underwater vehicles.

In geometric terms, the principle of buoyancy can be explained using the concept of displacement. When an object is submerged in a fluid, it displaces a certain volume of fluid, which is equal to the volume of the object. This volume of fluid has weight, and the fluid exerts an upward force on the object that is equal to the weight of the displaced fluid. This is what causes objects to float in water or other fluids, as long as their weight is less than the weight of the fluid they displace.

As for what Archimedes did next with his new discoveries, it's difficult to say for certain, as there are many stories and legends about his life. However, we do know that he was a prolific inventor and mathematician, and he likely continued to explore the implications of his principle of buoyancy and other discoveries. He may have also used this principle in his work as an engineer and designer, creating new machines and devices that were more efficient and effective thanks to his insights into fluid mechanics.

To know more about buoyancy visit :-

https://brainly.com/question/28464280

#SPJ1

Answer:

1 hour 45 minutes

Step-by-step explanation:

Time taken to cover a distance of 2 miles = 30 minutes.

Time required to cover 1 mile = 30/2 = 15 minutes.

Time required to cover 7 miles = 15×7

= 105 minutes or 1 hour and 45 minutes.

Answer:

the answer F or D

Step-by-step explanation:

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

Learn more about graph here:

https://brainly.com/question/25184007

#SPJ1

The saving plan balance is found to be $8064.

For the given data in the question;

The formula for calculating the simple interest is;

SI = PRT/100

P = principal amount

R = rate of interest %

T = time in years

The amount given is $200 per months.

For 3 years, total amount will be

= 36 months×200

= $7,200 (principal amount)

Put the values in formula;

SI = 7,200×4×3/100

On simplification;

SI = $864

The total amount of saving is;

Total amount = Principal + simple interest

Total amount = 7,200 + 864

Total amount = 8,064

Therefore, the total savings after 3 years is 8,064.

To know more about the simple interest, here

https://brainly.com/question/25793394

#SPJ9

Answer:

g= green chips       r= red chips

3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

Answer:

5150

Step-by-step explanation:

:)

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.

First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.

Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)

= 123,300 x 2.5313

= $312,109.29

The net present value is:
= Present value of cashflows - Amount invested

= 312,109.29 - 330,000

= -$17,890.71

= -$17,891.

In conclusion, option B is correct.

Find out more on Net Present Value at https://brainly.com/question/13228231.

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

-1

Step-by-step explanation:

slope is always the coeffcient* the number beside the variable

9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

Answer:

Answer:

\(\frac{56}{125}\)

Step-by-step explanation:

112/250

Reduce the fraction \(\frac{112}{250}\) to the lowest terms by extracting and canceling out 2.

\(\frac{56}{125}\)

Hope it helps and have a great day! =D

~sunshine~

Answer:

The simplest form of 112/250 is 56/125. Steps to simplifying fractions. Find the GCD (or HCF) of numerator and denominator. GCD of 112 and 250 is 2

Answer: x=14 y=10

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

\(f(x)=j(4x)-27\)          ... (1)

The translation is defined as

\(f(x)=j(kx+a)+b\)                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

Answer:

D) horizontal compression by a factor of 1/4, and a translation 27 units down

Step-by-step explanation:

got it right on edge :)

b7 is the answer if ur estimating