I I found the answer, answer is 359 stop answer dear
find an equation of the tangent line to the given curve at the specified point. y = x 2 − 1 x 2 x 1 , ( 1 , 0 )
The equation of the tangent line to the curve \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at the point (1, 0) is y = (2/3)x - 2/3.
To find the equation of the tangent line to the curve at the point (1, 0), we need to find the slope of the tangent line and then use the point-slope form of a linear equation.
Let's differentiate \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) using the quotient rule:
\(y' = [(2x)(x^2 + x + 1) - (x^2 - 1)(2x + 1)] / (x^2 + x + 1)^2\)
Substituting x = 1 into the derivative expression:
\(y'(1) = [(2(1))(1^2 + 1 + 1) - (1^2 - 1)(2(1) + 1)] / (1^2 + 1 + 1)^2\)
\(= [2(3) - (0)(3)] / (3)^2\)
= 6/9
= 2/3
Using the point-slope form y - y₁ = m(x - x₁), where (x₁, y₁) = (1, 0) and m = 2/3 we get,
y - 0 = (2/3)(x - 1)
y = (2/3)x - 2/3
The point-slope form of a linear equation is given by y - y₁ = m(x - x₁) where (x₁, y₁) is a point on the line, and m is the slope of the line.
Therefore, the equation of the tangent line to the curve y = (x^2 - 1) / (x^2 + x + 1) at the point (1, 0) is y = (2/3)x - 2/3.
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The complete question is:
Find an equation of the tangent line to the given curve at the specified point, \(y = \frac {(x^2 - 1)}{ (x^2 + x + 1)}\) at (1,0).
The table shows how the 515 students at
West Middle School get to school. About
how many of the students walk to school?
Method
Bus
Car
Walk
Percent of Students
53%
21%
26%
Answer:
134
Step-by-step explanation:
26% of 515
.26 x 515 = 133.9 I cannot have .9 of a person. Round to 134
how do you write 7.25 in word form
Answer:
seven and twenty-five hundredths
Step-by-step explanation:
Answer:
Seven and twenty-five hundredths
Step-by-step explanation:
State the most specific name for each figure.
7)
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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ts 2
What is the slope of the line shown below?
y
40
30
20
10-
-40
30...20...10
11
20
30
40 X
10
-20
30
40
Hello there!
When we are given the graph of a line and two points on the graph, we can calculate the slope of the line using Rise/Run.
Rise=How many units we move up (here, the rise is 3)
Run=How many units we move left or right (Here, the run is 5)
So the slope of this line is \(\frac{3}{5}\)
Hope this helps you!
~Just a joyful teen
\(SilentNature(GraceRosalia)\)
The quotient of 21 and the product of a number and -10.
Answer:
21 ÷ -10x
Step-by-step explanation:
At a football game, 69 out of 92 students were wearing the color red to support the home team. What percent of the students were wearing red?
A.
69%
B.
88%
C.
65%
D.
75%
Answer c
Step-by-step explanation:
Answer:
D. 75%
Step-by-step explanation:
Divide 69 by 92 and you will get 0.75, move the decimal to the right two times. and there is your answer.
HELP THIS IS 50 points HALF OF MY GRADE!!:(
there are 18 students are represented on the line plot
!!PLEASEE HELLPP!!
It’s the second and third one!!
Answer:
2.) s = 32
3.) y=10, x=80
Step-by-step explanation:
3.) x=y=90
10+80=90
80/8=10, so 80 is 10 times bigger
Which of the following is the equation of the line that has a slope of 3 and passes through the point (0, 9)?
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
pls help or ill fail
BRAINLIST REWARD
1) Adrianna wants to purchase GoodLife membership.When she visits the website, shedecides she wants to purchase a plan that charges $25 per month and has an initial cost of $90.What is the linear equation that represents how much Adrianna has to pay GoodLife
2) Anthony wants to purchase a Disney+ subscription.He visits the website anddecides to sign up for a plan that charges $17 per month. If the plan has no initial cost, what isthe linear equation? How much will he spend after 5 months?
3) :Sebastian wants to purchase a Premium Spotify subscription to listen to musicoffline and without ads. The plan that he chose is $10 per month and costs $15 up front. Write alinear equation to represent the cost. How much will Sebastian spend after 1 year?
Answer:
1) c = 25m + 90
2) c = 17m; $85
3) c = 10m + 15; $135
Step-by-step explanation:
Let m = number of months
1)
c = 25m + 90
2)
c = 17m
For 5 months, m = 5.
c = 17m = 17 × 5 = 85
$85
3)
c = 10m + 15
1 year = 12 months, so m = 12
c = 10m + 15 = 10 × 12 + 15 = 120 + 15 = 135
$135
a ball is dropped from a height of 144 inches. it's hight on the 1st bounce is 72 inches. on the 2nd and 3rd bounce, the height of the ball is 36 inches and 18 inches, respectively. the heights from a geometric sequence. what is the height of the ball on the 6th bounce to the nearest tenth of an inch?
Answer:
\(2.25\)
Step-by-step explanation:
\(the \: n {}^{th} \: term \: of \: a \: gs = {a(r)}^{n - 1} = \\ 72( 0.5) {}^{6 - 1} = 72 \times 0.03125 = \\ 2.25\)
plz solve this question urgent
9514 1404 393
Answer:
2/15
Step-by-step explanation:
The given expression for θ can be rewritten to ...
5sin(θ + arctan(-3/4)) = 0
This will have solutions ...
θ +arctan(-3/4) = nπ
θ = nπ - arctan(-3/4) = nπ + arctan(3/4)
__
The corresponding values of sine and cosine will be ...
sin(arctan(3/4)) = 3/5
cos(arctan(3/4) = 4/5
or both values may be negative. Either sign will give the same result in the expression we're to find.
(2sin(θ) -cos(θ))/(sin(θ) +3cos(θ)) = (2(3/5) -(4/5))/(3/5 +3(4/5))
= ((6 -4)/5)/((3+12)/5) = 2/15
\(\boxed{\dfrac{2\sin\theta-\cos\theta}{\sin\theta+3\cos\theta}=\dfrac{2}{15}}\)
Granola costs $1.76 per pound. Write and solve an equation to determine the number of pounds p of granola that can be purchased with $7.04.
The equation is:
The value of x is
Answer:
4 pounds of granola
Step-by-step explanation:
1.76p = 7.04
p = 7.04/1.76 = 4
30 is 10 times as much as
Answer:
Hi, 30 is 10 times as=30×10=300
Step-by-step explanation:
If you multiple with 30×10 we get as product is 300
Find the length of the longest side of this triangle.
Please help me i’m begging you thanks
Answer:
5 is the answer
Step-by-step explanation:
Consider the following data set. Round your answers to the nearest hundredth as needed.36 65 45 50 6535 65 56 42 29Mean =Median =Mode =Range =Sample Standard Deviation =Check Answer
The data is given as,
\(36\text{ , 65, 45, 50 , 65, 35, 65, 56, 42, 29.}\)The mean is defined as,
\(A=\frac{36+65+45+50+65+35+65+56+42+29}{10}\)\(A=\frac{388}{10}\)Thus the mean is 38.8.
The mode of the data is the value repeated most number of times.
\(\text{Mode}=\text{ 65.}\)The median is determined as, first set the data in ascending order.
\(29,35,\text{ 36, 42, 45, }50\text{ , 56, 65, 65, 65.}\)\(\text{Median }=\frac{\lbrack(\frac{n}{2})th\text{ }+(\frac{n}{2}+1)th\rbrack}{2}\)Substiute the value of n equals ot 10,
\(\text{Median}=\frac{\lbrack(\frac{10}{2})th+(\frac{10}{2}+1)\rbrack}{2}\)\(\text{Median}=\text{ }\frac{5th\text{ }+6th}{2}\)\(\text{Median }=\frac{45+50}{2}\)\(\text{Median}=\text{ }\frac{95}{2}\)Thus, the median is 47.5
The range of the data is the difference between the highest and lowest value.
\(R=65-29\)\(R=36.\)The range is 36.
1. Express 12-2 as a unit fraction.
Answer:
12/2
Step-by-step explanation:
Kyle spends $44 for four sweatshirts.
Answer:
I think the answer is B. sorry if its wrong..
Step-by-step explanation:
Answer:
Bar C and the equation 4y = 44
Hope this helps!
It is 76º F at the 6000-foot level of a mountain, and 49º F at the 12,000-foot level of the mountain. Write a linear equation, in slope-intercept form, to find the temperature T at an elevation e on the mountain, where e is in thousands of feet.
Answer:
Step-by-step explanation:
It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees
F at the 12000-foot level of a mountain.
Write a linear equation to find the temperature T at an elevation e on the
mountain, where e is in thousands of feet.:
:
Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
Assign the given values as follows
x1 = 6 (for 6000 ft); y1 = 76
x2 = 12(for 12000ft); y2 = 49
:
m = %2849-76%29%2F%2812-6%29 = %28-27%29%2F6 = -9%2F2
;
Use the point slope equation y - y1 = m(x - x1) so create the equation
y - 76 = -9%2F2(x - 6)
y - 76 = -9%2F2x - (-27)
y - 76 = -9%2F2x + 27 + 76
y = -9%2F2x + 103; is the equation
Using e and T
T = -9%2F2e + 103
:
where elevation is the horizontal and Temp is the vertical
;
Please helpppp!!!!!
A tree casts a shadow that is 28 feet long. A person who is 5 feet tall casts a shadow that is 8 feet long. Using similar triangles and proportions find the height x of the tree. Show all your work.
Answer:
Step-by-step explanation:
30 feet.
√4x^2/3y
Please show work if you can
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further
Which statement is true about the end behavior of the graphed function? O As the x-values go to positive infinity, the function's values go to negative infinity. O As the x-values go to zero, the function's values go to positive infinity O. As the x-values go to negative infinity, the function's values are equal to zero. O As the x-values go to negative infinity, the function's values go to positive infinity
Answer:
As the x-values go to negative infinity, the function's values go to positive infinity
Step-by-step explanation:
O As the x-values go to positive infinity, the function's values go to negative infinity. FALSE - it goes to positive infinity as we go to the right
O As the x-values go to zero, the function's values go to positive infinity FALSE- at zero the value is zero
O. As the x-values go to negative infinity, the function's values are equal to zero. FALSE - it goes to positive infinity as we go to the left
O As the x-values go to negative infinity, the function's values go to positive infinity TRUE - it goes to positive infinity as we go to the left
As the x-values go to negative infinity, the function's values go to positive infinity.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The end behavior of a function refers to what happens to the values of the function as the input variable becomes very large.
Now,
From the graph,
We see that,
As the x-values go to positive infinity, the function's values go to positive infinity
As the x-values go to negative infinity, the function's values go to positive infinity.
Thus,
As the x-values go to negative infinity, the function's values go to positive infinity.
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An appliance repair man charges you $75 per hour plus a $125 fee to drive to your home. Let y represent the total cost and x represent the number of hours he works.
Answer:
125 + (x × 75) = y
Step-by-step explanation:
If y represents the total cost, ant x represents the number of hours he works, we can use this equation:
x × 75 = y
But now we also need to add the fee of $125.
125 + (x × 75) = y
Therefore, your answer is 125 + (x × 75) = y.
Two friends, Carson and William, took summer jobs. Carson earned $451.50 in 21
hours. How much less per hour does William earn than carson
Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a?
For 5 months site b be less expensive than site a.
From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.
Let's take the n to be x.
We have to find how many months will b site be less expensive than site a.
So total expenses for site a = 50 + 5x
and total expenses for site b = 15x
We get an equation
50+5x =15x
10x=50
x=5
Therefore for 5 months site b will be less expensive than site a.
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A uniform continuous distribution has a maximum of 14 and a minimum of 2. Samples of size 36 are drawn from the distribution. What is the variance of the sample means?.
The sample mean variance of the continuous distribution will be 0.3428.
The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.
14 is the greatest and 1 is the smallest value in a uniform continuous distribution.
36-size samples are taken from the distribution.
Now,
Variance among the population = 14 – 2 = 12
The sample size is 36.
Given that the sample means' variance is defined as;
= Variation in the population / Sample Size
If you replace all the values, you get;
= 12 / 35
= 0.3428
As a result, the sample mean variance will be 0.3428.
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EZ POINTS!!!!!! explain how you divide 72 by 9.
Answer:
8
Step-by-step explanation:
Take 72 and put it over 9. In other words, split 72 into 9 groups. Your answer will be 8, btw.
Thanks for the points. Hope it helps :)
Answer:
9\72=8
Step-by-step explanation:
9x8=72
_08_
9| 72
- 72
-----------
0
please mark brainliest
The distance between two cities on a map is 5.5 centimeters. The map uses a scale in which 1 centimeter represents 15 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
82.5 kilometers
Step-by-step explanation:
15×5.5= 82.5 kilometers
When the declaration/// int y = 5; /// is followed by the
assignment /// y += 3.7; /// the value of y is _______.
Answer:
y = 8.7
Step-by-step explanation:
Assuming we can use decimal places, y is equal to 8.7.
In programming, += is often used as a substitute for y = y + x (example)
Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7