Determine the equation of the tangent to x− 3x +1 at the point (3,1)
Answers
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
Related Questions
please help again :,)) is it one solution, all solutions, or one
please show your work.
Answers
Answer:
Infinite many solutions
Step-by-step explanation:
If you graph it there is only 1 line
Please help.. Answer number 34 and 35. For number 34 find the measures of the numbered angles in each isosceles trapezoid. For number 35 find the measures of the numbered angles in each kite.
Answers
Answer:
33. m∠1 = 135°, ∠3 = 45°, ∠2 = 135°
34. m∠1 = 80°, m∠2 = 100°, m∠3 = 100°
35. m∠1 = 90°, m∠2 = 25°
Step-by-step explanation:
33. The given parameters of the isosceles trapezoid are;
The measure of one of the base angles = 45°
For an isosceles trapezoid, the base angles are equal, therefore, we have;
The measure of the other base angle = m∠3 = 45°
Similarly, m∠1 = m∠2
Also, we have;
The sum of the interior angles in a trapezoid = The sum of the interior angles in a quadrilateral = 360°
∴ 45° + m∠3 + m∠1 + m∠2 = 360°
By substituting the known values, we have;
45° + 45° + m∠1 + m∠2 = 360°
From m∠1 = m∠2, we have;
45° + 45° + m∠1 + m∠1 = 90° + 2·m∠1 = 360°
2·m∠1 = 360° - 90° = 270°
∴ m∠1 = 270°/2 = 135°
m∠1 = 135° = m∠2
Therefore, we have;
∠3 = 45°, ∠1 = 135°, ∠2 = 135°
34. The measure of the base angles = 80°
∴ The measure of the other base angle = m∠1 = 80°
m∠2 = m∠3
80° + m∠1 + m∠2 + m∠3 = 360°
∴ 80° + 80° + 2·m∠2 = 360°
m∠2 = (360° - (80° + 80°))/2 = 100°
m∠2 = 100° = m∠3
35. The kite comprises of two half isosceles triangles
The base angles of the right half isosceles triangle = 65°
The angle formed by the diagonals of the kite = 90° (Perpendicular diagonals theorem)
Therefore, m∠1 = 90°
The diagonals bisect the angles at the vertices (Kite theorem)
Therefore, we have;
65° + 90° + m∠2 = 180°
m∠2 = 180° - (65° + 90°) = 25°
m∠2 = 25°.
The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
Answers
Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
Tell me what is the equation for equation 1 and 2
Answers
Answer:
2x+3y=12$
3x+2y=19$
Hope it helps
show work please
A runner is running up a 30 mile steep hill. He passes a sign that says the road is at an
incline of 15° with bottom of the hill, how high is the top of the hill? Round your answer to
the nearest tenth.
Answers
Answer:
Step-by-step explanation:
sin15=h/30
h=30sin15
h=7.8 mi
Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.
Answers
Answer:
y = 2/3
Step-by-step explanation:
14 = 6(2) + 3y
14 = 12 + 3y
2 = 3y
y = 2/3
I need some help here please
Answers
Answer:
d. raíz de 44
[tex] \sqrt{48 \\ } [/tex]
That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps
si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?
ayudaaa
Answers
Answer:
Él dividendo seria 5
Step-by-step explanation:
Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos
ESPERO Y TE AYUDE ;)
In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?
Answers
Answer:
$18.15
Step-by-step explanation:
Yuki is paying tax of 4.6% + 3.65% = 8.25%
Converting to decimal form, that is 8.25/100 = 0.0825
Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.
The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.
With word problems, alwasy double check that you are answering what is actually asked. :)
<><><><>Simple true and false math<><><><>
Answers
Answer:
true
Step-by-step explanation:
just my opinion but for me it's true
Answer:
TRUE I AGREE WITH THE PERSON UP ABOVE
Step-by-step explanation:
which graph models the solution of the Inequality -6 ≤ -3x
Answers
First make x the subject which would be -6/-3 ≤ x
Which is 2 ≤x and that is represented in B
We know that graph (B) models the solution of the given inequality -6 ≤ -3x.
What are graphs?Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function.Line graphs, bar graphs, pie charts, scatter plots, and histograms are examples of common graph types. Graphs are a fantastic tool for displaying statistics and visualizing data. To depict numerical data that is unrelated to one another, a bar graph or chart may be utilized.So, in the given inequality:
-6 ≤ -3xWe know that:
Make x subject: -6/-3 ≤ xWhich is 2 ≤ x, represented in a graph (B).Therefore, we know that graph (B) models the solution of the given inequality -6 ≤ -3x.
Know more about graphs here:
https://brainly.com/question/28953186
#SPJ2
who ever answeres this question first gets brainly
Answers
Write 62/100 as a decimal
Answers
Answer:
.62
Step-by-step explanation:
62 ÷ 100 = .62
:)
Answer: 0.62
Step-by-step explanation: plz this is the right answer because we have to always put like this
62/100 -> 62/100 you have to always go backward when it 0 then u can go one time when it 00 then you have to go twice 62/100 count 62 oh sorry I couldn't show very well but that is how it is
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answers
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
Will be the answer for this question
In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?
Answers
Answer:
7 min
Step-by-step explanation:
Answer:
7 Minutes
Step-by-step explanation:
If you divide 42 by 6, you get 7.
in an equilateral triangle the sides are 14sqrt7. find the length of the altitude
Answers
Answer:
1
Step-by-step explanation:
16. Hanna has a bag of 23 marbles. 5 marbles are red, 6 marbles are blue, and the rest
are pink. Abby takes out two pink marbles without replacing them. What is the
probability that the next marble he draws will be blue?
A. 10/21
B. 4/21
C. 2/7
D. 6/23
Answers
Answer:
C. 2/7
Step-by-step explanation:
When two pink marbles are taken without replacement then the total number of marbles in the bag are reduced to 21 marbles. So the blue marble, which are currently in total 6 marbles, is taken out of the total of 21 marbles. The calculation of which is done as below:
Probability of Next Marble to be blue
= Blue Marble / Total Marbles in the bag
= 6 / 21
= 2 / 7
Hence, the correct option is C. 2/7
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
Answers
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3
I have a friend Robert who is an expert at taking the difference of consecutive perfect squares. This means that if I give him a number $x$, he immediately computes $$x^2 - (x - 1)^2$$and gives me the result. I decided one day to first give Robert the number $9$, then the number $6$, and finally the number $4$. Robert gave me three numbers in return. What is the sum of these three numbers?
Answers
Answer:
35
Step-by-step explanation:
Please look at the attachment down below.
Hope this helped! :)
The sum of three number is 35.
What is Square?A square number is the result when a number has been multiplied by itself.
For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.
Given:
if the number given is 9
9² - (9 - 1)² = 9² - 8²
= 81-64
= 17.
if the number given is 6.
6² - (6 - 1)² = 6² - 5²
= 36-25
= 11.
if the number given is 4.
4² - (4 - 1)²= 4² - 3²
= 16-9
= 7.
Thus, the sum of three number is
=17 + 11 + 7
= 35
Learn more about square here:
https://brainly.com/question/14198272
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Find x, y, and z. (Round to the nearest tenth if needed.)
12
у
X
N
Answers
Answer:
I'm sorry that your frog is dead, at least now we can fry his legs ~~tasting like chicken ~~~~~~flavor ain't missing
It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?
Answers
Answer:
It took 2 hours by plane
Step-by-step explanation:
let bus is represented by x and plane is represented by y
the total distance of bus and plane will be represented by equation:
40 x + 600 y = 1320 (1)
the total time taken by bus and plane will be represented by:
x + y = 5 (2)
solving equations (1) and (2) simultaneously:
Multiply by 40 on both sides in eq (2) and then subtract (1) and (2)
40 x + 600 y = 1320
40 x + 40 y = 200
_______________
560 y = 1120
y = 1120/ 56
y= 2
since plane is represented by y so, the time they spent travelling by plane is 2 hours.
need help please will give brainliest
Answers
Answer:
y=1/5x+7
Step-by-step explanation:
? pls help lol ??????????????????
Answers
Answer:
d is not a function
Step-by-step explanation:
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answers
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
help!
Question 1 (1 point)
Sally sold this watch during her shift at the mall for $219. She earns 3% commission. How much did she make on the sale?
Commission: $
Answers
Answer:
6.57
Step-by-step explanation:
what is £120 by 40% Decreased
Answers
Explanation:
Decrease: (1-40%)
120 x (1-40%)
= 120 x 60/100
= 120 x 3/5
= 360/5
= £72
Answer:
£72
Step-by-step explanation:
100% - 40 = 60%
60/100 = 0.6
0.6 * £120 = £72
40/100 = 0.4
0.4 * £120 = £48
To check:
£72 + £48 = £120
Hope that helps!
Pass a brotha some help :(
Answers
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
A middle school took all of its 6th grade students on a field trip to see a symphony at
a theater that has 4500 seats. The students filled 2205 of the seats in the theater.
What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
49%
Step-by-step explanation:
to get the percentage you put the number of occupied seats over total number of seats and multiply it by 100 over 1
a population of 100,000 decreases by 6% each year. write a graph to explain that
Answers
Answer:
Step-by-step explanation:
Your graph equation is going to be y = 100,000 - .06x
A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder
Answers
Answer:
H ≈ 10.994424 m ≈ 11 mStep-by-step explanation:
[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]