Find
y
'
and then find the slope of the tangent line at
(
2
,
225
)
. Round the slope and y-intercept to 3 decimal place.

Find Y' And Then Find The Slope Of The Tangent Line At (2,225). Round The Slope And Y-intercept To 3

Answers

Answer 1
Since we are given the point, all we need to find is the slope to discover the tangent line.
To find the slope, you plug in 2 for y’ as it is the x-value of the point.

y’ = 2((2)^2+2(2)+7)(2(2)+2) = 180

Plug in the point and the slope in the point-slope formula

y - y1 = m(x - x1)

y - 225 = 180(x - 2)

Solve for y

y = 180x - 360 + 225

y = 180x - 135

Related Questions

A TV has an original price of $499. Find the new price given a 10% increase.

Answers

The new price given is $648.7
Have a great day/night

Answer: $548.9

Step-by-step explanation:

To find the next price you have to find 10% of the original price then add it. You can find the increase by dividing 499 by 10 to get 10%.

499 divided by 10 = 49.9

Now add the increase to the original price for your answer!

499 + 49.9 = $548.9

PLEASE HELP!! IM DESPERATE, PLEASE SHOW YOUR WORK TOO
To make his famous chocolate cake, a baker uses chocolate that is 75% cocoa. Because his supplier delivered 100 lb of chocolate with 70% cocoa, The baker needs to melt and mix the delivery with chocolate that has 90% cocoa. How much of the 90% chocolate should he use?

Answers

The answers 33 1/3 pound

answer: 33 3/1 pound bc yu need to add all of them up then yu get your answer

An item is regularly priced at $65. It is now priced at a discount of 40% off the regular price. What is the price now?

Answers

39 dollars

Reason for is because our original price is 65 now take away 40% of that which is 26 , 65-26=39

Rewrite 1/5 barrel 1/2 hour as a unit rate

Answers

The answer is B, 2/5 barrel/hour.

Hope this helps! ☺️

Unit rate of (1 /5 barrel) / (1/2hour) is equals to (2/5) barrels /hour.

What is unit rate?

"Unit rate is defined as the representation of the ratio of the two different units with value of the denominator equals to 1."

According to the question,

Given,

[tex]\frac{\frac{1}{5} barrel}{\frac{1}{2} hour}[/tex]

⇒ (1 / 2) hour = ( 1/ 5) barrel

⇒ 1 hour = ( 2 / 5) barrel

⇒( 2 / 5) barrel per 1 hour

Therefore,

Unit  rate of given value is rewritten as

[tex]\frac{2}{5}[/tex] barrel / hour

Hence, Option(B) is the correct answer.

Learn more about unit rate here

https://brainly.com/question/11258929

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Solve.

x5=−0.92

What is the solution to the equation?

Enter your answer as a decimal in the box.

Answers

Answer:

-4.6

Step-by-step explanation:

Given the equation [tex]x5 = -0.92[/tex] isolate [tex]x[/tex] by multiplying 5 in both sides of the equation.

[tex]5\cdot\frac{x}{5} = -0.92\cdot5 \\x = -4.6[/tex]

The right answer is 4.60

Given the slope and y-intercept of the line, write the equation in slope-intercept form.

URGENT WILL GIVE BRAINLIEST!!

Answers

Answer:

[tex]y=3x-5\\y=\frac{5}{6} x\\y=-4x+1[/tex]

Step-by-step explanation:

Slope intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

With those already given, you need only plug them in to the formula:

[tex]y=3x-5\\y=\frac{5}{6} x+0\\y=-4x+1[/tex]

Answer:

3: y = 3x - 5   4: y = 5/6x   5: -4x + 1

Step-by-step explanation:

I just use y = mx + b

x and y are the coordinates and m is the slope of the line (you could find the slope of a line by using rise over run or (y2 - y1) over (x2 - x1)) The y-intercept or b is the point where the line hits the y axis.

Hope this helps a lot!!!

What's 1 + 1 = ?

i forgot-

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

[tex]1+1=2[/tex]

Answer:

=2

Step-by-step explanation:

1 + 1 = 2

2 + 2 = 4

1 + 3 = 4

2 + 3 = 5

Sam has $372 and Mark has $12.26. What is the difference? Who has more?
Make a plan-how will you solve the problem?
Show your work

Answers

Answer:

359.74

sam has more

Step-by-step explanation:

372 - 12.26 = 359.74

372 > 12.26

Answer:

372 - 12.26 = 359.84

372 > 12.26

The difference is 349.84, and I know this because I substracted 12.26 from 372. I know that Sam has more money because 12.26 is less than 372

75 apples is shared between Jade and Faith in the ratio 3:2. How many apples does Jade get? *

Answers

Answer:

45 and 30

Step-by-step explanation:

75/5 = 15

3x 15= 45

2x 15= 30

Answer: 45:30

Step-by-step explanation: 45 and 30

help help help help pls pls help pls

Answers

Answer:c

Step-by-step explanation:

Decide the numbers

Answer c, 11 1/4
Hope the photo helps

What is the value of 7³ ?

Answers

Answer:

343

Step-by-step explanation:

7 x 7 x 7 = 343

Hope it help and if it its correct please give brainliest  

Stay Safe And Healthy

Thank You

Answer:

The answer is:

7³ = 343

Solution:

7x7x7 = 343

Below is a graph of p, an insect population, w weeks after it was first measured. The population grows exponentially.

Write an approximate domain and range for this situation.
Write an equation relating p and w.

Answers

The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]p = 300 * 3^w[/tex]

From the graph, we have the following ordered pairs

(1,900) and (3,8100)

An exponential function is represented as:

[tex]p = ab^w[/tex]

At the point (1,900), we have:

ab = 900

At the point (3,8100), we have:

ab^3 = 8100

Divide both equations

[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]

Evaluate the quotients

[tex]b^2 = 9[/tex]

Take the square roots of both sides

b = 3

Recall that:

ab = 900

So, we have:

3a = 900

Solve for a

a= 300

Hence, the equation is:

[tex]p = 300 * 3^w[/tex]

Read more about exponential equations at:

https://brainly.com/question/11464095

what is the area of the trapezoid

Answers

Answer:

a+b

h 2

Step-by-step explanation:

40 ?? Maybe don’t count on it

Jane's height to Max's height is in the ratio 4:7. If Max's height is 210cm, what is Jane's height? *

Answers

120

4=?

7=210 then cris cross the answer is 120

Suppose that Jane's height is x cm thus we have :

[tex] \frac{x}{210} = \frac{4}{7} \\ [/tex]

[tex]x = \frac{210 \times 4}{7} \\ [/tex]

[tex]x = 120[/tex]

So Jane is 120 cm .

If I have 5 freshly picked apples in good condition and Jimmy takes 2 apples and violently beats them into the ground with a bat, how many apples are still in good condition?

Answers

Answer:

3 apples

Step-by-step explanation:

5 freshly picked - 2 apples on the ground= 3 apples are still in good condition

Hope this helps :D!

3 remain in good condition, but I think Jimmy is not

What is the volume of each small cube? And what is the volume of the right rectangular prism.

Answers

Answer:

Cube = 1/64 in³

Rectangular Prism = 84 3/8 in³

Step-by-step explanation:

Volume of Each Small Cube = (1/4)³ = 1/64 in

Volume of the Rectangular Prism = 4.5 x 5 x 3.75 = 84.375 = 84 3/8

-Chetan K

Answer:

Answer:

Cube = 1/64 in³

Rectangular Prism = 84 3/8 in³

Step-by-step explanation:

You multiply length x width x height of each.

1/4 x 1/4 x 1/4 = 1/64

Multiply all three numbers in the larger one as well

Help pleeeeeeaseeeeee

Answers

Answer: 1# (x > 3) 2# (n > -27) 3# (d > 2) 4# (r > -5) 5# (a < -4) 6# (x < 1)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4. 4 r > 5
5. a > -44
6. x < 1
7. w > -4
8. 30 > x

I am supposed to find A and B. Please hurry. Pt.2

Answers

Answer:

if im right A is 3 and B is twelve

Step-by-step explanation:

sorry if im wrong

if all functions are relations, are all relations functions? Explain your answer

Answers

Answer:

No, because some relations are not functions. Relations are equations that begin with x=, and let's say x=5.

This is not a function because if you graph this line, it is vertical, and functions can't share the same x coordinate point (input) with other y coordinate points (output). There must be one output for every input, meaning that this relation is not a function.

Step-by-step explanation:

No, just because functions are relations Doesn’t mean it’s the same for the other

4 x 9.4
Pls SOLVE and EXPLAIN how you got this
Pls answer Quickly

Answers

Answer:

4 x 9.4 = 37.6

Work is in PDF file. Try your best to read.

Step-by-step explanation:

Hoped this helped.

!!!!!!!!!!!PLEASE ONLY ANWSER NUMBER 4!!!!!!!!!!!!!!!!! ( 20 points )
Three shipping companies want to compare the mean numbers of deliveries their drivers complete in a day.
The first two shipping companies provided their data from a sample of drivers in a table.

Company C showed its data in a dot plot.


Answer the questions to compare the mean number of deliveries for the three companies.

1. How many drivers did company C use in its sample?

2. What is the MAD for company C's data? Show your work.

3. Which company had the greatest mean number of deliveries?

4. Compare the means for companies A and B. By how many times the MAD do their means differ? Show your work.

Answers

Answer:

The means differ by 4 times the MAD.

Step-by-step explanation:

I may be missing something, but this is how I interpret it.

The mean number of deliveries for company A is 6, and the mean for company B is 14. Lastly, the mean absolute deviation (MAD) for both companies is 2.

[tex]14-6=8\\8\div2=4[/tex]

The means differ by 8, and that is 4 times the MAD, so the means differ by 4 times the MAD.

Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21


5 + 2x = 3x + 3

7−x=12x

79−3x=12x+19

x2+3=10x−21

Answers

Answer:

Option 3 (79−3x=12x+19)

Step-by-step explanation:

When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

Given that, the equations that have {4} as its solution set.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

1) Solution of an equation 5 + 2x = 3x + 3 is

3x-2x=5-3

⇒x=2

2) Solution of an equation 7−x=12x is

7−x=12x

⇒12x+x=7

⇒13x=7

⇒x=7/13

3) Solution of an equation 79−3x=12x+19 is

12x+3x=79-19

⇒15x=60

⇒x=4

4) Solution of an equation x²+3=10x−21 is

x²+3=10x−21

⇒ x²-10x+24=0

⇒ x²-6x-4x+24=0

⇒ x(x-6)-4(x-6)=0

⇒ (x-6)(x-4)=0

⇒ x=6 or 4

Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results.

Students
A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9.

Teachers
A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9.

Based on the shape of the two dot plots, which statements correctly compare them? Select three choices.

Answers

Answer:

The answer is A.

Step-by-step explanation:

Hope this helps!

Answer:

A C E

Step-by-step explanation:

edu

All the dimensions of a cuboid are whole numbers, and its volume is 24 units^3. Which one of the following could NOT be one of its dimensions?
A.) 3
B.) 4
C.) 5
D.) 6
First Person who gets it right and EXPLAINS will get branliest! :-)

Answers

If I’m correct, it’s 5 since x•x•5=24 isn’t doable
Answer:

5 is the answer.

Review:

What is a cuboid?

A cuboid is a rectangle, but in 3D form.

Do we calculate area or volume in a cuboid?

We calculate the volume for 3D shapes. For 2D shapes, area is used.

If/Then:

Now, if the volume of the cuboid is 24 units³ then:

x × x × y

Now, lets fit all our options to see which one is NOT the dimensions.

Option A:

x × x × 3 = 24 units³

x × x = 12 units³ ✔

This is possible.

Option B:

x × x × 4 = 24 units³

=> x × x = 6 units³ ✔

This is possible.

Option C:

x × x × 5 = 24 units³

=> x × x = 24/5 units³ ❌

This is not possible. This will be our answer.

Option D:

x × x × 6 = 24 units³

=> x × x = 4 units³✔

This is possible.

Conclusion:

So after working on our problem, we can conclude that C is our answer. Hoped this helped.

Use the properties of exponents to complete the equivalent expression.

Answers

Answer:

8^14

Step-by-step explanation:

lemme know if im wrong, just tring to help

Answer:

8 to the power of 15

Step-by-step explanation:

the number 8 is still the same but the exponent's are different so the answer would be to just plus them together and get 8 to the power of 15

Sammy runs 100 meters in 15.03 seconds.
a. If Sammy runs at a constant speed, how far does he run in one second? Round to the nearest tenth.

b.What are you doing when you divide decimal numbers (divisor and dividend changes)

c.Place a decimal point in the divisor and decimal to create a new problem with the same answer as (a)

Answers

Answer:

A. Is 7

Step-by-step explanation:

I think A is 6.7, sorry if I’m wrong

help me out lord, help me fooks !

Answers

Step-by-step explanation:

V=Bh

V=πr²h

=π(9in)² (4in)

=π(81²) (4)

=81 x 4 = 324 π³

= 324(3.14)in³

multiply 324 x 3.14

= 1017.36 in³

Calculate each numbered angle measure.

Answers

Answer:

m1 = 90°

m2 = 68°

m3 = 112°

m4 = 112°

m5 = 68°

m6 = 44°

m7 = 112°

m8 = 112°

Concept used:

- The sum of the internal angles of a triangle is 180

- With two parallel line and one oblique, the angles internal and opposite are congruent (ex: m3 and m4)

- An isosceles triangle has the base angles congruent

Step-by-step explanation:

m1 is a rectangle angle

m2 is 180-m1-22

m3 is 180-m2

m5 is 180-m4

m6 is 180-m5-m5

m3 = m4 = m7 = m8

Help please T^T i shall give the right answer brainliest

Answers

The answer is D 1.17 x 10^2
Answer:
D.
Step-by-step explanation:
Given
The diameters of Sun and Venus where
Sun=1.4*10^6 km
Venus= 12000km




To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $4 per hour. The chemistry club wants to spend at most $47 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?

Answers

Answer:

The possible number of hours the chemistry club can rent the meeting room is 7 hours.

Step-by-step explanation:

h=hours

19+4h=47

Subtract 19 from both sides of the equation.

4h=28

Divide 4 from both sides of the equation.

h=7

The possible number of hours the chemistry club can rent the meeting room is 7 hours.

Hope this helps :)

Answer:

7 hours

Step-by-step explanation:

There is $47 total dollars. The reservation fee is $19 dollars. Subtract the two:

47-19= 28 dollars

Now the per hour fee is 4 dollars an hour. And you have 28 hours. So divide the two to get maximum hours:

28/4=7 hours

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