Quesuon Help
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0<x<4 to the average rate for the
interval 4<x<8. What do you think will happen to the rate of change for intervals beyond x = 8? Explain.
For 0<x<4, the average rate of change will be
(Round to the nearest integer as needed. )​

Answers

Answer 1

The slope of the straight line connecting the break's ends to the function's diagram.

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

What is meant by exponential function?

The mathematical formula f (x) = [tex]$$a^{x[/tex] denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.

We have to use the knowledge of functions to describe the average rates of each one of them, so:

For 0 < x < 4 will be -60

For 4 < x < 8 will be -31

It is a measurement of how much the function changed for one person on average throughout that interval. It results from the slope of the straight line connecting the break's ends to the function's diagram.

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Related Questions

When is a radical expression in simplest form?

Answers

Answer:

No radicands have perfect square factors other than 1.

No radicand contains a fraction.

No radicals appear in the denominator of a fraction.

Simplified Radical Form. All exponents in the radicand must be less than the index. Any exponents in the radicand can have no factors in common with the index. No fractions appear under a radical

Answer:

when it is multiplyed by its conjugate

A number time 12 is 72. Which equation fits this statement?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. 12x = 72

Step-by-step explanation:

If 'x' represents the unknown number, then only option D fits this statement.

12x is basically 12 times x, the unknown number.

Hope this helps!

The question is the picture

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

note :if u change divide sign to multiplication sign then do the reciprocal

for eg:

3/4÷3/100

then write,

3/4*100/3

A carpenter bought a piece of wood that was 0.42 meters long. Then she sawed 0.3 meters off the end. How long is the piece of wood now?

Answers

The length of piece of wood now will be;

⇒ 0.72 meters

What is Addition?

A process of combining or adding two or more numbers is called addition.

Given that;

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Here,

A carpenter bought a piece of wood that was 0.42 meters long.

And, She sawed 0.3 meters off the end.

Hence, The length of piece of wood now = 0.42 + 0.3 meter

                                                                = 0.72 meters

Thus, The length of piece of wood now = 0.72 meters

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topic:(derivatives)

paki sagutan po please asap huhuhu

1. find y' of y=x+1 / x-1
2. find y'' of y = x(x+2)
3. find y'' of y = (3x+1)(x-2)
4. find y'' of y = (3x+4)squared
5. find y' of y = 3x-2

with solutions narin po if kaya pls, nagmamakaawa po ako huhu​​

Answers

2. find y'' of y = x(x+2)

y=x²+2x

y'=2x+2

3. find y'' of y = (3x+1)(x-2)

y=3x²+x-6x-2

y=3x²-5x-2

y'=6x-5

4. find y'' of y = (3x+4)squared

y=(3x+4)²

y'=2(3x+4)(3)=6(3x+4)=18x+24

5. find y' of y = 3x-2

y'=3

Mr.Coy receives a 80 bill for his meal. He leaves 14.30 as a tip. What percent did he leave​

Answers

Answer:

around 18%

Step-by-step explanation:

14.30/80=0.17875

0.17875*100=17.875

18%

Answer:

Step-by-step explanation:

the answer is [tex]\frac{14.30}{80}[/tex]=17.875%

What is a polynomial of degree 4 called?

Answers

A polynomial of degree 4 is called bi-quadratic polynomial.

Bi-quadratic polynomial

A biquadratic equation is a polynomial equation with degree 4, and it strictly does not consist of any term with degrees 3 and 1.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

Degree of polynomial

The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.

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What is the relationship between DE and FG ? Select all that apply.
A. parallel
B. perpendicular
C. proportional
D. equal length

Answers

Answer:

Step-by-step explanation:

DE and FG are of equal length.

Answer:

The answer is A and D

Step-by-step explanation:

DE and FG are parallel to each other. They don't intersect, touch, or meet each other. Also they are equal length since they both are the same. Perpendicular is when the intersect or crossover each other, which they don't. Proportional is something completely different from this topic. I hope this is helpful!

Help plz no links will mark brainliest if correct!

Answers

Answer:

8

Step-by-step explanation:

Because when you add them you get 2m+8/2m

Which is equal to 8/1 or 8

Answer:

8

or

[tex]\frac{2m(m+4)}{(m+1)(m-1)}[/tex]

Depends what the question is asking for...

Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mph.


How far apart are the school and house?

Answers

The distance between the school and the house is 1.6 miles.

What is distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let the distance between the school and the house be x miles.

Given that:

Lisa:

Rate = 10mph

Time = t hours

Distance= x

According to distance formula we have:

x = 10 *t  [ equation 1]

Jen:

Rate = 4mph

Time = t hours

Distance= x-1 miles

According to the distance formula we have:

x-1 = 4*t [equation 2]

Substitute the value of equation 1 in equation 2 we have:

10t -1 = 4t

6t =1

t = [tex]\frac{1}{6}[/tex]

Now substitute the value of t in equation 1.

[tex]x = 10 * \frac{1}{6}[/tex]

x= 1.6 miles.

Hence the distance between the school and the house is 1.6 miles.

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0.5- 2 2/5 = 1/2y +2.4 Please help! Find the value of y! Thanks!

Answers

The value of y, given the equation, can be found to be - 8 .6

How to find the value of y ?

To find the value of y, first convert the mixed fraction to a decimal for easier calculation :

2 ² / ₅ = 2 + 2 / 5

= 2 + 0. 4

= 2. 4

The equation then becomes :

0. 5 - 2.4 = 1 / 2 y + 2. 4

This can be rewritten as :

0. 5 - 2.4 = 1 / 2 y + 2. 4

0. 5 - 2 . 4 - 2. 4 = 1 / 2 y

1 / 2 y = - 4. 3

y = - 4. 3 / 1 / 2

y = - 8 .6

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help me please? its algerbra

Answers

Answer:

Option 1

Step-by-step explanation:

option 1=243

option 2=125

Complete the equation of the line whose y- intercept is (0,5) and slope is -9

Answers

Answer:

y= -9x+5

Step-by-step explanation:

i hope this helps :)

Find the area of the following composite figures ​

Answers

I think the answer is 592 c2

Evaluate the expression 5+2n^2 when n=3

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

23

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{Evaluating the expression given:}}\\\\5+2n^2 \text{ when } n=3.\\-----------\\\rightarrow5+2(3)^2\\\\\rightarrow5+2*9\\\\\rightarrow 5 + 18\\\\\rightarrow\boxed{23}[/tex]

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The value of the expression  5 + 2n² at n = 3 is 23.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression  5 + 2n².

Now at n = 3, we'll simply replace n with 3, So 5 + 2n² is

= 5 + 2(3)².

= 5 + 2(9).

= 5 + 18.

= 23.

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In 6-7, explain whether each graph represents a linear function.

Answers

Answer:

In order to determine whether a graph represents a linear function, we need to check if the graph is a straight line.

Step-by-step explanation:

In order to determine whether a graph represents a linear function, we need to check if the graph is a straight line. A linear function is defined as a function of the form y = mx + b, where m and b are constants. The graph of a linear function is a straight line with a constant slope, and so any graph that is not a straight line is not a linear function.

Without the actual graph it's hard to say for sure, but based on the provided information, "The graph does not contain the point (20, –8)" indicates that the graph does not pass through this point (20, -8), and it could be indicating that it's not a straight line, So, The graph does not represent a linear function.

Is the function f/x )= x x − 4 − − − − √ is continuous on the interval 4 [infinity]?

Answers

No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].

Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].

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Jake and Blake began their journey from the same location at the same time. Jake's rate is 50 mph and Blake's rate is 60 mph. How many hours will it take for Blake to get 70 miles ahead of Jake

Answers

Answer: 7 hours

Step-by-step explanation: blake is gains 10 more miles then Jake each hour so if you divide 70 by 10 you get 7.

RADIO FRIENDS Polly, Autumn, and Terry each have a two-way radio with a two-mile range. Their houses are located as shown, with Autumn and Polly being two miles apart. Which friends can talk with each other on the radio?

Answers

Autumn and Terry can talk because the distance between them is 2 miles

Polly and terry can not talk because the distance between them is 2.27 miles.

Polly and Autumn's distance can talk because the distance between them is 1.56 miles.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Autumn and Terry distance = 2 mile

Polly and Autumn's distance = x miles

Polly and terry's distance = y miles

Now,

Applying the Sin rule of a triangle.

2 / sin 59° = x / sin 42° = y / sin 79°

2 / 0.86 = x / 0.67 = y / 0.98

Find x.

2 / 0.86 = x / 0.67

x = 1.56

Find y.

2/0.86 = y / 0.98

y = 2.27

Now,

Polly and Autumn's distance is 1.56 miles.

This means they can talk.

Polly and terry's distance is 2.27 miles.

This means they can not talk.

Thus,

Polly and Autumn can talk.

Polly and terry can not talk.

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For what value of a the system of linear equations Ax 3y a 3?

Answers

The system of linear equations has no solution for any value of a.

The equations Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

By using the Gaussian elimination method, the reduced form of the matrix is

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

The system of linear equation

Ax + 3y = a and 3x + 3y = a can be written in matrix form as

[A  3]   [x]   [a]

[3  3] * [y] = [a]

We can use the gaussian method to solve this system. First, we subtract 3 times the first equation from the second equation to get

[A  3]   [x]   [a]

[0  0] * [y] = [0]

This implies that the system has no solution for any value of a.

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Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

A is the answer ...........

It’s gonna be A hopefully this is correct if not let me know please

In right triangle abc, altitude cd with length h is drawn to its hypotenuse. we also know ad = 12 and db = 3.

Answers

The value of h is 6.

Now, According to the question:

In right triangle, ABC

Given data:

AD = 12 and DB = 3

The equivalent ratio of the triangles is:

h : 12 = 3 : h

Express as fractions

[tex]\frac{h}{12} =\frac{3}{h}[/tex]

Cross Multiply:

[tex]h^2[/tex] = 36

Take positive square roots of both sides

h = 6

Hence, the value of h is 6.

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Evaluate 5 to the second power + 10 divided by 2

Answers

Answer:

10

Step-by-step explanation:

5²+10÷2

10+10÷2

20÷2

10

Answer:17.5

Step-by-step explanation:

5^2 is 25

25+10=35

35/2 is 17.5

What is the answer of 2 by 7 and 3 by 5?

Answers

The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.

To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.

A common denominator for 2/7 and 3/5 is 35.

So we can convert both fractions to have 35 as the denominator,

2/7 becomes (2×5)/(7×5) = 10/35

3/5 becomes (3×7)/(5×7) = 21/35

then we can add the numerators:

10/35 + 21/35 = 31/35

so the final answer is 31/35

This is also the simplest form of this fraction which would be 31/35.

--The question is not clear, answering to the question below--

"What is the answer of 2/7 + 3/5?"

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Select the correct answer.
What is the reaction quotient for the following reaction; AB + 2C?
Q = [B][C], ²
[A].
OA.
OB.
O C. Q=
Q = BIC
[A].
OD. Q=
[A]
[B].[C].2
[A],
[B]. [C].

Answers

Slope Sales will be $-159.474 at 0 degrees Celsius, which is nonsensical to understand.

what is slope?

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

given information,

Temperature=20 egression equation,

[tex]sales= 442.284\\ Slope=$ 30.0879[/tex]

temperature increases by 1 degree

$30.0879, on average.

[tex]y-intercept= -159.474[/tex]

At 0 degree celsius of temperature, Sales will be [tex]$-159.474[/tex]which is meaningless to interpret.

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(a) 14 is what percent of 40? (b) 65% of 60 is what number?

Answers

Answer: a) 35% b) 39

Step-by-step explanation:

Answer:

A) 35% B) 39

Step-by-step explanation:

do 14÷40=35% and you already know that have of 60 is 30 so you do 40 ÷60 and see if it is close then you go down one to 39÷60=65%

PLS HELP I DONT UNDERSTAND THUS PLS EXPLAIN

Answers

The equation that will make a system with infinite solutions is the third option.

y = 2x + 6

Which equation will make a system with infinite solutions?

A system of linear equations will have infinite solutions only if the two equations represent the same line.

Here we know that one of the linear equations of the system is:

2y - 4x = 12

If we now divide the whole equation by 2, we will get:

(2y - 4x)/2 = 12/2

y - 2x = 6

Now we can move the "2x" term to the right side, then we will get.

y = 2x + 6

So the equations:

y = 2x + 6

2y - 4x = 12

Represent the same line, then that system will have infinite solutions.

Finally, the correct option is the third one.

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A vending machine has twice as many quarters in it as dollar bills if the quarters and dollar bills have a combined value of $96. 00 how many quarters are in the machine

Answers

According to question, we can say that there are 128 quarters in the machine.

What is fraction?

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

N  = the  number of dollars  2N  the  number of  quaters.....so  we  have

25(2N)  + 1N   =   96

1.50N  =  96

so, by fraction we have -

N  =  96  / 1,50   =  64   dollars

2(64)   =    128  quarters

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can someone please help? what is the missing length?

Answers

31

since A = 1/2 b h, and the A is 279 and the height is 18, we can plug them in and solve for b.

-x+3y=6 in slope intercept form pls i need to know!!!

Answers

Answer:

Below

Step-by-step explanation:

Slope - intercept form is    y = mx + b    you just need to manipulate the given equation to this form

-x +3y = 6         add 'x' to both sides of the equation

3y = x + 6         divide by 3

y = 1/3 x + 2      Done !

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