Use the difference quotient to calculate the average rate of change across the following intervals. Difference quotient of d(t): 3t^2 + 5th – 2

The interval 2 to 3:

The interval 2 to 2.5:

The interval 2 to 2.1:

Answers

Answer 1

Answer:

Ok, we have:

d(t) = 3*t^2 + 5*t - 2.

The first interval is:

(2, 3)

and remember that, for an interval (a,b), the difference quotient is:

D = (f(b) - f(a))/(b -a)

Then in this first interval we have:

[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]

So the average rate of change in (2,3) is 20.

now, in (2, 2.5) we have:

[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]

So here the rate of change is 9.25

And in the interval (2, 2.1) we have:

[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]

So in this interval the rate of change is 1.73

Answer 2

Answer:

2 to 3 is 20

2 to 2.5 is 15

2 to 2.1 is 11

Step-by-step explanation:

I got this question right on EDGE 2023


Related Questions

6) The local bakery made a profit of $210 for each day
for five days. What was the total profit for five days?

Answers

Answer:

I need help on that too

Step-by-step explanation:

but i multiplied and got 1,050

2(3x” – 2)-(4x? - 4x)

What is this simplified to?

Answers

Answer:

6x-4

Step-by-step explanation:

Let's simplify step-by-step.

2(3x−2)−(4x−4x)

Distribute the Negative Sign:

=2(3x−2)+−1(4x−4x)

=2(3x−2)+−1(4x)+−1(−4x)

=2(3x−2)+−4x+4x

Distribute:

=(2)(3x)+(2)(−2)+−4x+4x

=6x+−4+−4x+4x

Combine Like Terms:

=6x+−4+−4x+4x

=(6x+−4x+4x)+(−4)

=6x+−4

Answer:

=6x−4

let a and b be positive integers. 23^a x 23^b

Answers

Answer:

23 ^ ( a+b)

Step-by-step explanation:

23^a *23^b

Since the bases are the same, we can add the exponents

23 ^ ( a+b)

Answer:

23^(a+b)

Step-by-step explanation:

A^x*A^y = A^(x+y)

you can think of it like this

A^x = A*A*A*.......*A x times

A^y = A*A*A*....*A y times

therefore A^x * A^y = A*A*A*...*A (x+y) times

=A^(x+y),

so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)

Which equation matches the graph shown?


A.y=(x-2)(x-1)
B.y=-(x-2) (x+1)
c y= -( x+2) ( x*1)
D. y= ( x-2) (x+1)

Answers

Answer:

             B.    v = - (x - 2)(x + 1)

Step-by-step explanation:

The parabola opens downward so a<0

zeros are:  x₁=-1  and x₂=2, so the factors are:

(x - x₁) = [x - (-1)] = (x + 1)

(x - x₂) = (x - 2)

which gives:   - (x + 1)(x - 2)

I forgot how to do this​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{2} \times 2}[/tex]

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

[tex] \dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{2}{2} }}[/tex]

[tex] \dashrightarrow{ \sf{1}}[/tex]

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

For every pound a company spends on advertising it spends £.0.49 on it website express the amount spent on advertising to it website as a ratio in it simplest form

Answers

Answer:

1/0.49

Step-by-step explanation:

Every pound = 1 pound

And for every one of this company spends 0.49pound

To express this in a ratio is 1:0.49

Which is also 1/0.49 in fraction.

A ratio tells us how many times a number contains another number. It compares two numbers in relation to each other.

Therefore 1/0.49 expresses the amount spent on advertising as a ratio

The set of irrational numbers is the set of numbers whose decimal representations are neither (blank) nor (blank).

Answers

Answer:

neither terminating nor repeating.

Step-by-step explanation:

The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.

What are rational numbers and irrational numbers?

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Irrational numbers are those real numbers, which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers means, natural numbers are not irrational.

The set of irrational numbers is the set of numbers whose decimal representations are neither terminating nor repeating.

Learn more about numbers here;

https://brainly.com/question/3151755

#SPJ2

PLEASE HELP, ITS TIMED HURRY >>>>

Answers

Answer:2

Step-by-step explanation:

IM FAST RIGHT???

Answer:

A

Step-by-step explanation:

Hopefully this helps you

pls give me brainlest :)

Help me solve this Thanks

Answers

Answer:

B. p varies inversely as r

Step-by-step explanation:

Since, p varies directly as q

[tex] \therefore p\:\:\alpha \:\:q\\

\therefore p= kq.. (k = constant)... (1)\\

[/tex]

Since, q varies inversely as r

[tex] \therefore q\:\:\alpha \:\:\frac{1}{r} \\

\therefore q= \frac{k}{r} .. (k = constant)... (2)\\

[/tex]

From equations (1) & (2)

[tex] p = k\times \frac{k}{r}\\

p = \frac{k^2}{r}\\

p\:\:\alpha \:\: \frac{1}{r}\\

[/tex]

Hence, p varies inversely as r.

seven more than one half a number as an equation

Answers

Answer:

1/2x+7

Step-by-step explanation:

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answers

a 13 ft ladder must reach 12 ft up the side of a house. how many feet from the house should the bottom of the ladder be placed?

Answer: 1 foot

Answer:

5 ft

Step-by-step explanation:

Ladder top, the wall and the horizontal distance will form a right triangle with:

Hypotenuse = 13 ftVertical leg = 12 ftHorizontal leg = x

As per Pythagorean theorem:

x² + 12² = 13²x² = 169 - 144x² = 25x =√25x = 5 ft

Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?

Answers

Answer:

5.25 feets

Step-by-step explanation:

Given the question :

Abdul wants to hang a square poster that measure 1 1/2 feet on a side in the center of a 12-foot-long wall. How far from the end of the wall should abdul place the side of the poster?

Length of one side of Square poster = 1 1/2 Feets = 3/2 feets

Length of wall = 12 feets long

Since Abdul wants the poster to be centered in the wall; then the picture should be placed such that there must be equal space left on either side of the wall after hanging.

Hence, (12/2 - 1 1/2) = (6 - 0.75) feets

= 5.25 feets

what is the first layer of the atmosphere in astronaut pass through during the re-entry from space​

Answers

Answer:

the first layer would be the exosphere.

2 5x2 - 19x + 12
Standard form

Answers

Answer:

5x 2 19x 4

9 6x 2 19x 2

factor 5x 2 19x 4

4x 2 19x 5 0

factor 6x 2 19x 7

6x 2 19x 36Factor 5x^2-19x+12. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Tap for more steps... Factor out of . Rewrite as plus. Apply the distributive property. Factor out the greatest common factor from each group. Tap for more steps...

Step-by-step explanation:

Kenji earned the test scores below in English class. 79, 91, 93, 85, 86, and 88 After his next test, his mean and median scores both change to 88. How much does he earn on this test?

Answers

Answer:

Step-by-step explanation:

We need to find what number he got on the test.

We know he got a bigger number than 88.

79+85+86+88+91+93+x.

Let's substitute x for 94.

79+85+86+88+91+93+94/2 = 88.

Since any other number thats near 94 doesn't equal 88, we know that this is exactly the right answer.

Which relation is also a function?

Answers

Answer:

Step-by-step explanation:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.

When we say about relation is  a function

The given table relation is not a function

the graph relation is not a function

Given :

A relation is a function when all x values has exactly only one y value .

Each input has only one output for a function .

When x values are repeated then we can say that there is two output .

So that is not a function .

In the given table, we have x=5 repeated twice .

when x=5 there are two outputs [tex]-3 and -2[/tex]

for x=5, there are two outputs.

The given table relation is not a function

Now we consider the graph

When x=2 , there are 2 y values [tex]-3 \; and \; -4[/tex]

So input 2 has two output values

Hence , the graph relation is not a function

Learn more :  brainly.com/question/11899899

Please Help Meeeeeeeeeeeee

Answers

Answer:

4, -2

Step-by-step explanation:

I used the calculator

At 6 a.m., the temperature was -8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was
-10°C. Which integer represents the temperature change between noon and 6 pm?
-24
-12
-8
-4

Answers

Answer:

-8 And I feel bad that no one answered your question

Step-by-step explanation:

y=3x+12 positive or negative

Answers

Answer:

x = -4 thus negative

Step-by-step explanation:

Solve for x:

3 x + 12 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

3 x + (12 - 12) = -12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

3 x = -12

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = -12 by 3:

(3 x)/3 = (-12)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = (-12)/3

Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.

12/3 = (3×4)/3 = 4:

Answer: x = -4

find the area of the figure

Answers

Answer:

90 inches squared

Step-by-step explanation:

To do this you would first find the area of the 2 triangles shown on the side so we would do 5 times 2 divided by 2 since that is how we solve this problem so we would get 5 inches squared for the 2 triangles then we would find the area of the square which is 100 since it is a 10 by 10 then you would subtract 5+5 by 100 which is 90 so 90 inches squared would be the answer

Answer:

Your correct answer is 90 sq. in.

Step-by-step explanation:

Find the area of the 2 triangles that are shown on the side.

5 x 2 divided by 2 = 5 sq. in.

Now, find the area of the square

The answer for this is 100 because it is a 10 x 10

Next, subtract

5 + 5 by 100 =  90

What is this I need help

Answers

Answer:

B. No solution

Step-by-step explanation:

[tex]2y-7\left(y+8\right)=1-5y\\\\\mathrm{Expand}\:-7\left(y+8\right):\quad -7y-56\\2y-7y-56=1-5y\\\\\mathrm{Add\:similar\:elements:}\:2y-7y=-5y\\-5y-56=1-5y\\\\\mathrm{Add\:}56\mathrm{\:to\:both\:sides}\\-5y-56+56=1-5y+56\\\\Simplify\\-5y=-5y+57\\\\\mathrm{Add\:}5y\mathrm{\:to\:both\:sides}\\-5y+5y=-5y+57+5y\\\\Simplify\\0=57[/tex]

Answer:

2y-7(y+8)=1-5y ///// y=B

Step-by-step explanation:

the sides are unequal, therefore, y cannot be found

0.00365 in scientific notation

Answers

3.65 x 10^-3
That’s it

HELP!! The side of a square is 3 raised to the 5/2 power inches. Using the area formula A = s squared, determine the area of the square.

Answers

Answer:

3^5/2 is 15.5885.

Step-by-step explanation:

This is plug in math! I'd recommend to get a Ti-84 (makes math like this so much easier)

Answer:

  243 square inches

Step-by-step explanation:

The area is the square of the side length:

  A = s^2

  A = (3^(5/2))^2 = 3^(5/2*2) = 3^5 = 243

The area of the square is 243 square inches.

_____

The relevant rule of exponents is ...

  (a^b)^c = a^(bc)

A ship must be unloaded by two cranes in 12 hours. Both cranes worked for 8 hours and then one of them broke. The rest of the work was done by the other crane in 7 hours. How long would each crane take to do the entire job if it was working alone? Thank you!

Answers

Answer:

6 hours

Step-by-step explanation:

8 hours x 2 cranes = 16 hours of total work

After one broke

7 hours x 1 crane = 7 hours of total work

16 + 7 = 23 hours

It would take 23 hours for one crane to do the whole job.

In survey of 200 game lovers, it was found that 130 like football, 90 like cricket and 20 did not like both games.how many persons were there who liked both games? *​

Answers

Answer:

There are 10 of them like both games.

7+ (25 - 15)-42
need help!

Answers

Answer:

-25

Step-by-step explanation:

7+25−15−42

=7+10−42

=17−42

=−25

Answer:  -25

Step-by-step explanation:

A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t, hours. How many miles does the car travel in 1.5 hours?

Answers

Answer: 97.5m

Step-by-step explanation:

Can you guys please help me solve this exercise?​

Answers

Answer:

45x*9

Step-by-step explanation:

Answer:

Your answer is 45x^9

Step-by-step explanation:

hope this helps!

A farmer picks 242 apples on Monday and 118 apples on Tuesday. On Wednesday, she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left? 242 - 118 - 109 = a 242 - 118 + 109 = a 242 + 118 - 109 = a 242 + 118 + 109 = a​

Answers

Answer:

242 + 118 - 109

Step-by-step explanation:

collected-  360 apples total ( 242 + 118 )

sold-  109 apples

hope this helps you :)

pls give me brainlest. ;)

8. Find the equation of a line in slope intercept form that is parallel to the line y = -2x - 3 that goes
through the point (2, 1).
Work:
Answer:

Answers

Step-by-step explanation:

Hey there!!

To solve this type of question, use these steps.

Find these 1st equation by using one point formula of point.After this from equation 2 find slope, by comparing it with y= mx + c if it is in slope intercept form. Then, as per the conditions of parallel lines, use m1=m2, then put the value of m1 in equation 1st.Then simplify them.

So, let's work with these steps.

Now,

The equation of a st.line passing through point (2,1) is,

[tex](y - y1) = m1(x - x1)[/tex]

Put all values.

[tex](y - 1) = m1(x - 2)[/tex]

It is the 1st equation.

Another equation is,

y = -2x -3.......(ii)

Comparing the equation with y = mx+c.

Therefore, from equation (ii)

m2 = -2

Now, as per condition of parallel lines,

m1=m2= -2

Putting the value of m1 in equation 1st.

[tex](y - 1) = - 2(x - 2)[/tex]

y - 1 = -2x + 4

y = -2x +5.

Therefore, the equation is y = -2x +5.

Hope it helps...

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