PLEASE HELP ME!!! An equation of the line tangent to the graph of y = 2x+3/3x-2 at the point (1,5) is
Answers
Answer: 13x + y = 18
Step-by-step explanation: 13x + y = 18 is equal to y = -13x + 18.
The derivative is y' = -13/3x-2^2.
With the derivative, you get -13 for slope and plug it in to get y - 5 = -13x + 13.
Move it around and you get 13x + y = 18.
Hope this helps!
We want to find the equation of the tangent line to a given point in a given function.
The correct option is B: 13*x + y = 18
So we want to find the equation of the tangent line to the function.
[tex]y = \frac{2x + 3}{3x - 2}[/tex]
at the point (1, 5).
To get the slope of that line, we need to evaluate the derivate of the function in the x-value of the point, the derivate of the function will be:
[tex]y' = \frac{2}{3x - 2} - 3*\frac{2x + 3}{(3x - 2)^2}[/tex]
Now we evaluate this in the x-value of the point, which is x = 1.
[tex]y' = \frac{2}{3*1 - 2} - 3*\frac{2*1 + 3}{(3*1 - 2)^2} = -13[/tex]
Then the line will be something like:
y = -13*x + b
To find the value of b, we use the fact that the line must pass through the point (1, 5). This means that when x = 1, we have y = 5.
Replacing that in the line equation we get:
5 = -13*1 + b
5 + 13 = b
18 = b
Then the equation of the line is:
y = -13*x + 18
Or, rewriting it.
13*x + y = 18
So the correct option is B.
If you want to learn more, you can read:
https://brainly.com/question/23265136
Related Questions
If 1400 = 100% what is 40% of it
Answers
Answer:
40/100 = 40%
40/100 * 1400 = 40*14 = 560
560 is the answer.
Hope this helps :) have a nice day!
An endowment fund is set up with a donation of $110,000. If it earns 4.1% compounded monthly, fir how long will it sustain end of month withdrawals of $1300? Endowment for ________ years(s) and ________ months(s)
Answers
Questão 02 - Carlos e sua mãe têm juntos atualmente 47 anos. Sabendo que sua mãe ganhou Carlos aos 23 anos, a equação que representa a soma da idade de Carlos com sua mãe é: * (A) 2x = 47. (B) x + 23 = 47. (C) 2x + 47 = 23. (D) x + 2 = 23. (E) 2x + 23 = 47
Answers
Answer:
x+23 = 47
Step-by-step explanation:
Let age of Carlos is x. It is mentioned that the sum of age of Carlos and his mother is 47 years old. Age of Carlos is 23.
We need to find the equation that represents the sum of Carlos' age with his mother.
x+23 = 47 is the required equation.
Also, we can find the age of Carlos as :
x = 47 - 23
= 24 years
Hence, the correct option is (B).
What operation should be done first to solve 5x + 3 = 28?
Multiply by 5
Add 3
Subtract 3
Divide by 5
Answers
Answer:
Subtract 3
Step-by-step explanation:
The first operation that should be done first in the expression 5x + 3 = 28 is subtracting 3 from both sides.
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, 5x + 3 = 28.
The first operation that should be done first is subtracting 3 to both the side of the equation to separate the variable x and the constant term.
∴ 5x + 3 - 3 = 28 - 3.
5x = 25.
x = 5.
learn more about numerical expression here :
https://brainly.com/question/14642484
#SPJ2
The modern United Kingdom and France, by virtue of most government power being held by the central, national government, are best described as having which form of government? Select one:
A. definitive
B. federal
C. confederal
D. unitary
Answers
On average, what percentage of infants born to 45-year-old mothers have Down syndrome? 1% 3% 8% 10% 30%
Answers
Well knowing that around
at age 40 giving birth to a child with down syndrome is about 46% or 47%
but at age 45 I'm pretty sure it's 3%
Hope this helps!
A lake has a 30-km long shoreline. 6% of it is sandy beach. What percentage of the shoreline is not sandy beach?
Find the length (in km) of the shoreline that is sandy beach
Answers
Answer:
94% not sandy beach
1.8km is sandy beach
Step-by-step explanation:
30 = 100%
÷ 100 both sides
0.3 = 1%
× 6 both sides
1.8 = 6%
Can you find the missing polynomial side length and type the correct code? Please remember to type in ALL CAPS with no spaces. 1: ? 2x2 + 8x - 10 3(x - 1) 2(x + 5) answer choices 2: A: B: C: X-3 X + 5 X-1 D: E: F: 3x2 + 15x - 18|||x + 1 x + 3x + 6 H: I: 3: x + 2x - 6x-5 4: Type the 4- 2x2 - 8x - 10 letter code into the answer 2(x + 1) box. All CAPS, no spaces. Puzzle-#2
Answers
The side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
What is function?A function is a elation between a dependent and independent variable.
Given is to identify the correct side lengths of the figures.
We can write the side lengths as -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
Therefore, the side lengths that make the area of rectangles as modelled are -
{ 1 } - (x + 2)
{ 2 } - (x - 5)
{ 3 } - (x + 3)
{ 4 } - (x - 1)
To solve more questions on functions, visit the link-
brainly.com/question/29014197
#SPJ2
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
Answers
Answer:
1.95
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 -9x + 2 = 0, which number would have to be added to "complete the square"?
Answers
Answer:
Add the square of half of the coefficient of [tex]x[/tex] to both sides
[tex]\left(-\dfrac92\right)^2=\dfrac{81}{4}[/tex]
Completing the square:
Rewrite [tex]x^2-9x+2=0[/tex] in the form [tex]y=(x-b)^2 +c[/tex]
Add the square of half of the coefficient of [tex]x[/tex] to both sides:
[tex]\implies x^2-9x+2+\left(-\dfrac92\right)^2=\left(-\dfrac92\right)^2[/tex]
[tex]\implies x^2-9x+2+\dfrac{81}{4}=\dfrac{81}{4}[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 +2=\dfrac{81}{4}[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 +2-\dfrac{81}{4}=0[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]
[tex]\implies\left(x-\dfrac92\right)^2 -\dfrac{73}{4}=0[/tex]
36 is 0.9% of what number
(not urgent
Answers
Answer: 4000
Step-by-step explanation:
If for example 5 is 1% of what number, you would multiply that by 100/1 and multiply that by 5.
For 36 is 0.9% of what number, you would multiply the 36 by 100/0.9 and multiply that by 36.
100/0.9 is 111.11 and 111.11 x 36 is 4000, so 4000 would be your answer.
Which of the following is true? (1 point)
Question 19 options:
1)
|−6| < 5
2)
|−6| < |5|
3)
|−5| < |−6|
4)
|−5| < −6
Answers
Answer:
Here are the solutions :
1. Carbon dioxide and water
3. A precipitate
4. Electrons are shared in a covalent bond
5. 2 Hydrogen atoms
6. 4 Cl atoms
7. I believe is law of conservation of atoms
8. 5 grams
9. 3 should be placed
10. Oxygen
11. Apple juice
12. It is uniform in composition
13. Salt
14. Compound
15. The concentration cannot be increased
16. Heterogenous mixture
17. Chocolate chip cookies
18. Vegetable soup
19. A compound is a pure substance but a mixture is not
20. Tastes sour.
Can you provide brainliest.
a rectangular is drawn below its perimeter is 4.8 yards what is the measure of each side one side is 2m another side is M another side is 2 m another side is M
Answers
Answer with step-by-step explanation:
m = 0.8
Firstly, we have to see how many M's we are dividing. On the image, it shows 2m + 2m + m + m = 6m. Then, we divide 6 by 4.8, since is would give us the correct value of m. 4.8 ÷ 6 = 0.8.
Hope this was helpful! (brainliest please)
The Alvarezes are trying to decide which of two catering companies to hire for their anniversary party. Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person. Both companies are known for their good food and excellent service, so the Alvarezes want to choose the caterer that will cost less. Write the equation to represent Marvelous Meals. *
Answers
Given :
Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person.
To Find :
Which company will cost less.
Solution :
Let, after x people Marvelous Meals charge less than Posh Parties :
So, 700 + 35x < 425 + 50x
275 < 15x
x > 18.33 i.e x > 18
Therefore, after 18 people Marvelous Meals charge less than Posh Parties.
Hence, this is the required solution.
4 pts
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
6
16
y +1
12
21
24
32
O x = 9
O x = 10
X = 8
11
2
Answers
Check the picture below.
One of the solutions of the system of equations shown
in the graph has an x-value of -4. What is its
corresponding integer y-value?
5+
4-
3+
O-1
-3
2
3
-5443
1 2 3 4 5 X
-3
-5
Answers
Answer:
-3
Step-by-step explanation:
We are trying to find where the solution is for the systems of equations. This happens when the 2 graphs intersect.
We see that one of our intersection points is (-1, 0), or x = -1 and y = 0.
The other intersection point is (-4, -3), or x = -4 and y = -3.
Therefore, our answer is the 2nd option, -3.
Answer:
-3
Step-by-step explanation:
There are 15 squares and 6 circles. What is the simplest ratio of circles to squares?
Answers
The simplest ratio of circles to squares is 3 : 5.
What is the ratio of circles to squares?Ratio is used to show the relationship between two or more numbers. expresses. It shows the number of times that one value is contained within other value(s).
The simplest ratio of circles to squares = number of circles : number of squares
6 : 15
3 : 5
To learn more about ratios, please check: https://brainly.com/question/25927869
#SPJ2
find the missing length!! pls help meee!!! i need to show work and i’m marking brainliest!!!!!!
Answers
Answer:don’t know if it’s right but here
Step-by-step explanation: okay so first you need to know is that, that triangle it a 90 degrees so you put 90 degrees minus 45 it will equal to 45 because 45+45= 90 degrees but if the question says put degrees then put it if not then don’t put it.
Hope it helped
Answer:
n = 8, m = 11.313
Step-by-step explanation:
(2, 4); perpendicular to y=1/2x+1
Answers
Step-by-step explanation:
use the respective formula and solve according to the image
Please help‼️‼️‼️‼️‼️ Melanie plans to repaint some classroom bookcases.She has 1 7/8
gallons of paint. All of the bookcases are the same size and each requires 3/16 gallon of paint. How many bookcases will she be able to paint
Answers
Answer:
The custodian will be able to repaint 7 bookcases with the amount of paint.
Step-by-step explanation:
The custodian has 5 1/4 gallons of paint, to find the number of bookcases the custodian will be able to repaint with this amount of paint if each bookcase requires 3/4 gallons, then we will simply divide 5 1/4 by 3/4 to give us the number.
But first we need to change 5 1/4 to improper fraction,
thus; 5 1/4 =
5 1/4 ÷3/4 = ÷
(We will want to change the division sign to multiplication, to do that, we will have to take the inverse of 3/4 which is 4/3 hence;
= ×
4 will cancel out 4 hence;
=
= 7
Therefore the custodian will be able to repaint 7 bookcases with the amount of paint.
plot y=-3x+4 on the graph
Answers
Answer:
See photo below
I hope this helps!
all sets that pi belong to
Answers
Answer:
irrational numbers
pi belongs to the set of irrational numbers
What is the number of the parking space covered by the car?
Answers
87
Step-by-step explanation:
the picture is upsidedown
Question in photo! (Please help with other questions!)
Answers
Answer:
a) [tex]a_{n}[/tex] = 13.8 + 0.2n
Step-by-step explanation:
Given :-
a = 14
d = 0.2
To Find :
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
[tex]a_{n}[/tex] = 14 + 0.2n - 0.2
[tex]a_{n}[/tex] = 0.2n + 13.8
Solution :-
a) [tex]a_{n}[/tex] = 13.8 + 0.2n
What is the mean?
2, 5, 4, 8, 4, 10, 2
TYPE ONLY THE NUMERIC ANSWER
Answers
Answer:
5
Step-by-step explanation:
Do you want to answer my most recent question on my profile? Free 50 points and it's just a one-question survey.
whats the right answer?
Answers
Answer:
i think B 99% sure
Step-by-step explanation:
What is
6÷3751 = ?
I WILL GIVE 29 POINTS. PLEASE I WILL FAIL THE 3RD GRADE
Answers
Answer:
.0015995734
Step-by-step explanation:
6 divided by 3,751 is the solution above. please mark as brainlest.
Answer:
625 r1
Step-by-step explanation:
3751÷6=625
625×6=3750+1=3751
pls help will mark as brainliest
Answers
Answer:
(i) The surface(sheet) of a conical tent is circular so we must use the formula for the area of a circle to find out;
Given the diameter 14, we must find the radius.
To find the radius we must do 1/2 of the diameter to get the radius.
14 x 1/2 = 7, is the radius
Formula for area of a circle;
a = πr^2
where pi is 3.14 or 22/7, r is the radius which is being squared
Plug in the actual values:
a = πr^2
a = 3.14 x 7^2
a = 3.14 x 49
a = 153.86 square meters, is the area of the conical tent's sheet.
(ii) Since there are 153.86 meters in one sheet, we should multiply that by $12(because $12 per meter) to get the total cost.
So,
153.86 meters x $12 = $1,846.32, it would cost 1,846.32 dollars.
What is the square root of -1?
Answers
Answer:
i
I hope this helps!
The probability of choosing a diamond card from a standard pack of cards is 0. 25, what is the probability of choosing any other suit?
Answers
Using the probability of complementary events, it is found that there is a 0.75 probability of any other suit.
What is the probability of complementary events?When two events are complementary, the sum of their probabilities are 1.
In this problem, a diamond card and a card for any other suit are complementary events, hence the equation is:
0.25 + p = 1
p = 0.75.
Thus, there is a 0.75 probability of any other suit.
More can be learned about the probability of complementary events at https://brainly.com/question/25578621