The measure of m∠x is 110°
What is the Isosceles Triangle?
Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides.
We have,
given the triangle Δwxy,
m∠y = 35°, and
there are two similar sides to the triangle wx ≅ xy,
Properties of an Isosceles Triangle are:
The two sides are congruent with each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
The two angles opposite to the equal sides are congruent with each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.
The angle which is not congruent to the two congruent base angles is called an apex angle.
The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.
The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.
The two angles opposite to the equal sides are congruent with each other.
so, m∠w = m∠y = 35°
The sum of measure of the angles of the isosceles triangles is 180.
so,
m∠w + m∠x + m∠y = 180
35 + 35 + m∠x = 180
m∠x = 180 - 70
m∠x = 110°
Hence, the measure of m∠x is 110°.
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Based on the data provided in each question, evaluate each of the statements presented and evaluate as true (T) or false (F), typing the answer corresponding to each statement.
In addition to indicating T or F each statement, you must also correctly rewrite each question considered false.
Attention: It is NOT to explain the inaccuracy, just rewrite the alternative. In alternatives where the error involves the value of some characteristic, you must indicate the correct value.
a) The hardening coefficient is indicative of the material's ductility. The higher the work hardening coefficient, the greater the uniform elongation in tension.
b) After the appearance of necking in cylindrical specimens submitted to the uniaxial tensile test, compressive stresses appear in the neck region. From this instability, the uniaxial stress state (pure tension) is replaced by a triaxial stress state.
c) The effective strain is constituted as a state variable that depends on the initial state and the final state of the system, regardless of the path followed by the stresses during conformation.
d) An annealed copper fr sheet, whose flow equation is given by σef = 400εef0,50, was subjected to a single cold pressing operation. In this process, its thickness was reduced from 3.0mm to 2.25mm and there was no significant change in its width. Then, a sample was removed from the material, thus processed, to perform the uniaxial tensile test so that the maximum principal stress (σ1) during the test was applied in a direction parallel to the direction of the width of the sheet. Knowing that this tensile test was interrupted at the moment when the necking appeared and considering that the material is isotropic, it can be stated that, at that moment, the total deformation accumulated in the direction in which this uniaxial stress in tension was performed is 0.5.
e) In carrying out the tensile test of a copper alloy, it was found that the strength limit is 320MPa and the elongation to the maximum load is 40%. Knowing that this material obeys the Hollomon equation for work hardening, based on these data, it is possible to state that the estimated stress x strain curve for the region of plastic strain is σ=448ε0,4 (in Mpa).
The required solutions to the following hardening coefficient are:
a) false
b) true
c) false
d) false
e) true
a) F - The statement is false.
Revised statement: The hardening coefficient is indicative of the material's strength. The higher the work-hardening coefficient, the greater the strength of the material.
b) T - The statement is true.
c) F - The statement is false.
Revised statement: The effective strain is not a state variable that depends solely on the initial and final states of the system, but rather on the deformation path followed by the material.
d) F - The statement is false.
Revised statement: At the moment when necking appears during the tensile test, the total deformation accumulated in the direction parallel to the width of the sheet is not 0.5. The actual value needs to be calculated or provided.
e) T - The statement is true.
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Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how many times will he be able to eat at this restaurant?
Mr. Jones will be able to eat at the buffet restaurant approximately 4 times in a month.
To determine how many times Mr. Jones will be able to eat at the buffet restaurant based on his budget, we need to divide his monthly budget by the cost per visit.
Mr. Jones budgets $42 for the month, and the cost per visit is $9.
Number of visits = Monthly budget / Cost per visit
= $42 / $9
≈ 4.67
Since we cannot have a fractional number of visits, we round down to the nearest whole number because Mr. Jones cannot have a partial visit. Therefore,
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how do i solve this in very simple terms that are applicable for any equation that is formatted like this
Step-by-step explanation:
You need to either graph the equation or manipulate the equation into the standard form for a circle ( often requiring 'completing the square' procedure)
circle equation:
(x-h)^2 + (y-k)^2 = r^2 where (h,l) is the center r = radius
x^2 - 6x + y^2 + 10 y = 2 'complete the square for x and y
x^2 -6x +9 + y^2 +10y + 25 = 2 + 9 + 25 reduce both sides
(x-3)^2 + (y+5)^2 = 36 (36 is 6^2 so r = 6)
center is 3, -5
1.2.22 In this exercise, we tweak the proof of Thea. rem 1.2.3 slightly to get another proof of the CauchySchwarz inequality. (a) What inequality results from choosing c=∥w∥ and d=∥v∥ in the proof? (b) What inequality results from choosing c=∥w∥ and d=−∥v∥ in the proof? (c) Combine the inequalities from parts (a) and (b) to prove the Cauchy-Schwarz inequality.
This inequality is an important tool in many branches of mathematics.
(a) Choosing c=∥w∥ and d=∥v∥ in the proof, we get,|⟨v,w⟩| ≤ ∥v∥ ∥w∥. This is another version of the Cauchy-Schwarz inequality.
(b) Choosing c=∥w∥ and d=−∥v∥ in the proof, we get,|⟨v,w⟩| ≤ ∥v∥ ∥w∥. This is the same inequality as in part (a).
(c) Combining the inequalities from parts (a) and (b), we get,|⟨v,w⟩| ≤ ∥v∥ ∥w∥ and |⟨v,w⟩| ≤ −∥v∥ ∥w∥
Multiplying these two inequalities, we get(⟨v,w⟩)² ≤ (∥v∥ ∥w∥)²,which is the Cauchy-Schwarz inequality. The inequality says that for any two vectors v and w in an inner product space, the absolute value of the inner product of v and w is less than or equal to the product of the lengths of the vectors.
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x+3y-xy=3
x^2+y^2+xy=3
Answer:
Y = 1
Step-by-step explanation:
on a graph this would be a circular shape and y= 1
After mentally completing the first step in the order of operations, write
the step that will be performed second
[30 (15 + 3) +9
Which equation represents a parabola that has a focus of (0,0) and a directix of y = 2?
Answer: D
Step-by-step explanation:
\(a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D\)
A bike store sells scooters at a 54%
markup. If the store sells each
scooter for $69.30 then what is their
non-markup price?
Answer:
$45.00
Step-by-step explanation:
154% → $69.30
100% → $69.30 x 100/154 = $45.00
If a bike store sells scooters at a 54% markup. If the store sells each
scooter for $69.30 then their non-markup price is $45.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
A bike store sells scooters at a 154% markup
154% of non mark up price is equal to the price of each scooter.
Convert 154% to the decimal value by dividing 100
154/100=1.54
Let x be the non mark up price
1.54×x=69.3
Divide both sides by 1.54
x=69.3/1.54
x = 45
Hence $45 is their non-markup price.
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Three teachers shared 4/5 of a flat paper that was donated to the school. what fraction of the flat paper did each teacher receive
Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded annually.
P = $15,500
r = 9.5%
t = 12
Hint: A = P (1 + ) kt
A = $[?]
Round your answer to the nearest cent (hundredth).
The amount accumulated after investing a principal P for t years at an interest rate compounded annually is $46,057.58.
How to solve compound interest ?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Therefore, let's find the amount accumulated after investing a principal P for t years at an interest rate compounded annually.
\(A = p(1 + \frac{r}{n} )^{nt}\)
where
P = principalr = ratet = timen = number of timep = 15,500
r = 9.5%
t = 12
n = 1
\(A = 15500(1 + \frac{0.095}{1} )^{1(12)}\)
A = 15,500.00(1 + 0.095)¹²
A = $46,057.58
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$46,057.58, answer for acellus
PLEASE HELP QUICK!!!! WILL GIVE BRAINIEST!!!!!
Answer:
From top to bottom:
Slope intercept Equation: \(y = \frac{3}{4} x+2\) \(y=3x-2\)
Slope: 4 2
Y-int: (0,-2) (0,10)
Step-by-step explanation:
Guys help I literally don’t know how to do this
Answer:
Ok, so to find the volume of a sphere, the volume is 4/3 (3.14 which is pie) times the radius cubed so r^3
so the radius of this sphere is 2 because 4-2=2
Step-by-step explanation:
so now we do 4/3 times 3.14 times 2^3 power=
now first we multiply 4/3 times 2 to the 3rd power bc we dont need to multiply pie (3.14) your answer would be 10.66667 so its 10.66667 pie (3.14) so round 10.66667 it would just be 10.7 because the 7 round up the 6 to a 7. Hope this helps!
suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). use symmetry to identify a third point and find a quadratic regression equation for the stream of water.a.y
Quadratic equation for stream of water; (x-6)² = -36/5(y-5)
Using symmetry;
if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);
Equation of a parabola whose mouth is open toward negative y- axis;
x² = -4ay
Parabola vertex shifted from (0,0) to (6,5);
(x-6)² = -4a(y-5);
Put x = 0, y = 0, as it lies on parabola;
36 = -4a(-5);
36 = 20a;
a = 36/20;
Quadratic equation for stream of water; (x-6)² = -36/5(y-5);
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Find the coordinates of the other endpoint of the segment with the given endpoint and midpoint M A(-3,-8) M (1,-2)
Answer:
The other endpoint has coordinates (5, 4)Step-by-step explanation:
Each coordinate of the midpoint is the average of respective endpoints.
If (a, b) and (c, d) are endpoints, then midpoint (m, n) is:
m = (a + c)/2 and n = (b + d)/2Substitute the known coordinates and find the missing endpoint (x, y):
(- 3 + x)/2 = 1 ⇒ - 3 + x = 2 ⇒ x = 3 + 2 ⇒ x = 5(- 8 + y)/2 = - 2 ⇒ - 8 + y = - 4 ⇒ y = 8 - 4 ⇒ y = 4The other endpoint is (5, 4).
Answer:
(5, 4)
Step-by-step explanation:
\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\$M=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)
Given points:
Endpoint A = (-3, -8)Midpoint M = (1, -2)Let B be the other endpoint.
Substitute the given points into the midpoint formula:
\(\implies (1,-2)=\left(\dfrac{x_B+x_A}{2},\dfrac{y_B+y_A}{2}\right)\)
\(\implies (1,-2)=\left(\dfrac{x_B-3}{2},\dfrac{y_B-8}{2}\right)\)
Equate the x-values to find the x-value of endpoint B:
\(\implies \dfrac{x_B-3}{2}=1\)
\(\implies x_B-3=2\)
\(\implies x_B=5\)
Equate the y-values to find the y-value of endpoint B:
\(\implies \dfrac{y_B-8}{2}=-2\)
\(\implies y_B-8=-4\)
\(\implies y_B=4\)
Therefore, the coordinates of the other endpoint are (5, 4).
please answer quick thank you!!
Answer:
y=\(\frac{x+9}{n}\)
Step-by-step explanation:
x/y=n-9
x= y(n-9)
x= yn-9n
-yn= -x-9n
yn= x+9n
y=\(\frac{x+9}{n}\)
cs 189 3 gaussian classification (4 points) let f(x | ci) ∼ n(μi,σ2) for a two-class, one-dimensional classification problem with classes c1 and c2, p(c1)
In a two-class, one-dimensional Gaussian classification problem, with classes c1 and c2, the probability density function is f(x | ci) ∼ n(μi,σ2), given p(c1).
In Gaussian classification, we assume that the data from each class follows a Gaussian (normal) distribution. Specifically, we model the probability density function (PDF) of the data given each class as a Gaussian distribution with parameters μi (mean) and σ^2 (variance), denoted as f(x | ci) ∼ N(μi, σ^2). Here, ci represents the class label, which can be c1 or c2 in your case.
To perform classification, we need to estimate the parameters μi and σ^2 for each class based on the available training data. This can be done using methods such as maximum likelihood estimation (MLE) or Bayesian estimation.
Once we have estimated the parameters, we can use Bayes' rule to calculate the posterior probability of a sample belonging to each class given its observed value x. The posterior probability can be expressed as:
P(ci | x) = (P(x | ci) * P(ci)) / P(x)
In this equation, P(x | ci) represents the likelihood of observing x given class ci, and P(ci) is the prior probability of class ci. P(x) is the marginal probability of observing x and acts as a normalizing constant.
For a two-class problem, the decision rule is typically based on comparing the posterior probabilities. If P(c1 | x) > P(c2 | x), then the sample x is classified as c1, and vice versa.
To summarize, in the two-class, one-dimensional Gaussian classification problem, we assume that the data from each class follows a Gaussian distribution. We estimate the parameters of the Gaussian distributions based on the training data, and then use Bayes' rule to calculate the posterior probabilities of the classes given a sample. The decision rule is based on comparing these posterior probabilities to determine the class label for a given sample.
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Which triangle is a 30 degrees 60 degrees 90 degrees triangle?
Answer:
The answer is
30 degrees is acute angle
60 degrees is also acute angle
90 degrees is right angle
Step-by-step explanation:
anything below 90 degrees is acute angle
90 degrees creates a perfect square which is a right angle
Natalie has two number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number
a. The total number of possible outcomes is 16 x 96 = 1,536.
b. She should expect to see a difference of 1 approximately 12/16 x 96 = 72 times.
c. She should expect to see a difference of 0 approximately 8/16 x 96 = 48 times.
a) There are a total of 16 possible pairs of numbers that can be rolled on the two pyramids:
(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), and (4,4).
We can use a probability distribution to calculate the probability of each pair of numbers being rolled. Since each pyramid has four sides, there are 4 x 4 = 16 possible outcomes when both pyramids are rolled. Therefore, the probability of each outcome is 1/16.
Since Natalie is going to toss each pair of pyramids 96 times, the total number of possible outcomes is 16 x 96 = 1,536.
To calculate the difference between each pair of numbers, we can simply subtract the smaller number from the larger number.
Here is a table that shows the probability of each difference:
Difference Possible Pairs Probability
0 (1,1), (2,2), (3,3), (4,4) 4/16 = 1/4
1 (1,2), (1,3), (1,4), (2,3), (2,4), (3,4), 12/16 = 3/4
(2,1), (3,1), (4,1), (3,2), (4,2), (4,3)
2 None 0
3 None 0
Therefore, the probability of the difference being 0 is 1/4, the probability of the difference being 1 is 3/4, and the probability of the difference being 2 or 3 is 0.
Since Natalie is going to conduct the experiment a total of 96 times, we can use these probabilities to calculate the expected number of times each difference will occur:
Difference Probability Expected Number of Occurrences
0 1/4 96 x 1/4 = 24
1 3/4 96 x 3/4 = 72
2 0 96 x 0 = 0
3 0 96 x 0 = 0
b) we can expect the difference between each pair of numbers to be 0 about 24 times and
c) to be 1 about 72 times over the course of the experiment.
Differences 2 and 3 are not expected to occur.
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The correct question should be:
Natalie has two number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number.
a. How many possible outcomes are there? _________________
b. How many times should Natalie toss a difference of 1? ______________
c. How many times should Natalie toss a difference of 0?
A German worker takes 400 hours to produce a car and 2 hours to produce a case of wine. A French worker takes 600 hours to produce a car and X hours to produce a case of wine.
a) For what values of X will gains from trade be possible? Explain.
b) For what values of X will Germany export cars and import wine? Explain.
Germany will export cars and import wine when X (the time required to produce a case of wine in France) is less than 3, indicating that France has a comparative advantage in wine production and Germany has a comparative advantage in car production.
a) To determine the values of X for which gains from trade are possible, we need to compare the opportunity costs of car and wine production between Germany and France. The opportunity cost is the ratio of the number of hours required to produce one unit of one good to the number of hours required to produce one unit of the other good.
For Germany, the opportunity cost of producing a car is 400 hours/2 hours = 200 cases of wine per car.
For France, the opportunity cost of producing a car is 600 hours/X hours = 600/X cases of wine per car.
Gains from trade occur when the opportunity costs differ between countries, allowing them to specialize in the production of goods with lower opportunity costs and trade with each other. In this case, Germany has a lower opportunity cost of producing cars compared to wine (200 < 600/X), while France has a lower opportunity cost of producing wine compared to cars (600/X < 200).
To ensure gains from trade, Germany will specialize in car production, and France will specialize in wine production. Therefore, for gains from trade to be possible, the value of X must lie between the opportunity costs of car production for Germany and France, which is 200 < X < 600.
b) Germany will export cars and import wine when it has a comparative advantage in car production (lower opportunity cost) and France has a comparative advantage in wine production (lower opportunity cost).
Since Germany's opportunity cost of producing a car is 200 cases of wine per car, it will export cars if the opportunity cost of wine production in France (600/X) is higher than 200. Therefore, for Germany to export cars and import wine, the value of X must satisfy the condition 600/X > 200, which simplifies to X < 3.
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what is the mean? No working out needed, just an honest answer please.
Answer:
2.333333..... (2.3 repeating)
in general, the strictest standards with the lowest acceptable levels are the
Answer:
Step-by-step explanation:
are the what???
What number equal to 48
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8. When you multiply each of these factor pairs together, you get 48.
Step-by-step explanation:
1 x 48 = 48
2 x 24 = 48
3 x 16 = 48
4 x 12 = 48
6 x 8 = 48
HOPE IT'S HELP:)
if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against
There is only one person in the garden.
How to determine the number of people that remain?The given parameters are
There are 34 people in the yard You kill 30 peopleSo the number as per the riddle is that the yard and the garden are the same
So, it means that you killed 30 people and the other 4 people escaped from the backyard.
So if the other 4 people escaped, the implication is that only the killer is left in the garden
In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person
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please help meee and show all steps please!!!ty
Answer:
x = -4 and x = 5
Step-by-step explanation:
Since \(x^2 + 2x\) and \(3x + 20\) both equal to y, we know that the expressions equal to each other. We can write a new equation base on that.
\(x^2 + 2x = 3x + 20\)
Now we solve the equation.
\(x^2 + 2x = 3x + 20\)
\(x^2 - x = 20\)
\(x^2 - x - 20 = 0\)
\((x + 4) (x - 5) = 0\)
\(x + 4 = 0 ; x -5 = 0\)
\(x = -4 ; x = 5\)
There are 61 pages in Chen's book he reads 24 pages how many pages does Chen have left to read
Answer:
ans 37
Step-by-step explanation:
substract 61 - 24
6a\(6a^{2} + 2a (4a +3b) - 12ab\)
Answer:
ASSUMING IT IS SIMPLIFICATION.....
\(2a(7a - 3b)\)
Step-by-step explanation:
\( {6a}^{2} + 2a(4a + 3b) - 12ab\)
Expand the bracket.
\( {6a}^{2} + {8a}^{2} + 6ab - 12ab\)
\( {14a}^{2} - 6ab\)
Take the common factors out.
\(2a(7a - 3b)\)
Which function models the relationship
between the concentration of the
medication in milligrams, p(t), and the
number of hours since the medication
was taken, t?
Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.
\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs
P(t) = 25.5( 1-16.2%)ˣ
= 25.5((100 - 16.2)/100)ˣ
= 25.5(83.8/100)ˣ
P(t) = 25.5(0.838)ˣ
Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
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Complete question:
9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.
Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?
what are the colors of the rainbow?
Answer:
The colours of the rainbow are: Red, orange, yellow, green, blue, indigo, violet.
Answer:
blue , green, red , orange. yellow, pink purple,
Step-by-step explanation:
your welcome
FIND 2 RATIONAL NUMBER EQUILANT TO 7/19
Answer:
14/38
21/57
Step-by-step explanation:
You just multiply by 2/2 and 3/3
Answer:
14/38
21/57
Step-by-step explanation:
7×2/19×2
= 14/38
7×3/19×3
= 21/57
These are rational numbers because they can be expressed in fractions.
Evaluate F(x) = x^2 + 1 for f(-1)
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
Answer:
f(x)=x^2+1
f(-1)=(-1)^2+1
f(-1)=1+1
f(-1)=2