x^2-2x+10=0
is the vertex of this parabola a maximum value or minimum value?

Answers

Answer 1

Step-by-step explanation:

minimum.

since the term with x² has a positive factor, this will grow exponentially in the positive direction compared to the other terms, so y (the functional value) will grow and grow with growing distance of x to the vertex.

and that makes the vertex the minimum of the parabola (which opens upwards).

if the factor would be negative (like -x² - 2x + 10), the vertex would be a maximum, and the parabola would open downwards.


Related Questions

name all the terms realted to subtraction ​

Answers

Answer:

Other words for subtraction:

taking away

withdrawal

abstraction

removal

discounting

Step-by-step explanation:

Question 5(Multiple Choice Worth 2 points)
(Sample Spaces LC)

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. List the sample space when choosing one marble.

A s= (1, 2, 3, 4, 5, 6

B s=(purple, pink, red, blue, green, orange, yellow}

C s=(g. r, b. y. o, p)

D s= (green, blue, yellow, orange, purple, red)

Answers

The sample space when choosing one marble will be B s=(purple, pink, red, blue, green, orange, yellow}

What is sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample space may contain a variety of outcomes.

A paper bag has seven colored marbles. The marbles are pink, red, green, blue, purple, yellow, and orange. The sample space when choosing one marble will be all the colors. The correct option is B.

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In 3 billion repetitions of an experiment, a random event occurred in 500 million cases.

The probability of the event is 1.
True or False

The probability of the event is 0.
True or False

What is the expected probability of this event?


What is the expected probability of the complement of the event?

Answers

Answer:

The probability of the event is 1. False

The probability of the event is 0. False

What is the expected probability of this event?

The probability of the event is (500 million successful events) / (3 billion total repetitions) = 0.1667 or 16.67%.

What is the expected probability of the complement of the event?

The complement of the event is the event not happening. The probability of the event not happening is (3 billion total repetitions - 500 million successful events) / (3 billion total repetitions) = 0.8333 or 83.33%.

Uday Tahlan

Please help will mark Brainly

Answers

The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

What is simultaneous equations? Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtSimultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3On occasions you will come across two or more unknown quantities, and two or more equations relating them. These are called simultaneous equations and when asked to solve them you must find values of the unknowns which satisfy all the given equations at the same time.

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his mapping shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (2, 4), (negative 3, 0), (negative 1, negative 1), (4, 3). When f(x)=4, what is the value of x? 0 2 3 4

Answers

when f(x)=4, then the value of x is 2

What is a function?

A relation is a function if it has only One y-value for each x-value.

Given that A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs:

The ordered pairs are (2, 4), (-3, 0), (- 1, -1), (4, 3)

We need to find value of x when f(x)=4

In the (x, y) ordered pair the x place represents the domain value and y place represents the range.

In the order pairs we have to look for the y value which has 4.

The corresponding element of 4 is the x value

So the value of x is 2 if f(x)=4

Hence, when f(x)=4, then the value of x is 2

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Read the situations in the table below. Then drag a graph and equation to represent each situation. Indicate whether each of the relationships is proportional or non-proportional.

Answers

The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, graph 1 varies 4 times the x value every time there is an increase of 1 in the x-axis and in graph 2 it is a linear equation with intercept at 4 and thus the graph increases with +4 and   A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx,

Hence, The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

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Which absolute value function, when graphed, will be
wider than the graph of the parent function, f(x) = |x|?


Answers

On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.

What are similar angles?

Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.

Given:

m ∠1 = m ∠2

m ∠2 = m ∠4

We have to prove that m ∠ABC = m ∠EDC

∠EDC = ∠3 + ∠4

m ∠ABC = m ∠1 + m ∠2

m ∠EDC = m ∠3 + m ∠4

m ∠1 + m ∠2 = m ∠3 + m ∠4      

m ∠ABC = m ∠EDC

Hence, by using the given information we can prove that  

m ∠ABC = m ∠EDC.

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1.2y^2 + 8.9 + 6y - 8.6 - 4y + y^2

whats the answer?

Answers

Answer:
3(y^2 + 1) + 2(y+4)

Step-by-step explanation:

2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
= 2y^2 + y^2 + 6y - 4y + 8.9 - 8.6
= 3y^2 + 2y + 8(9-6)
= 3y^2 + 2y + 24
= 3y^2 + 2y + 3.2.2.2
= 3(y^2 + 1) + 2(y+4)

can you simplify 2/6?

Answers

Answer:

1/3

Step-by-step explanation:

2÷2=1

6÷2=3

Solution: 1/3

A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
1,021 decigrams
10,210 decigrams
102,100 decigrams
1,021,000 decigrams

Answers

The answer is 102,100

Answer:

102200

Step-by-step explanation:

564+458= 1022

1 decagram=100 decigram

So multiply the sum by 100

1022*100=102200

PLEASE HURRY I WILL GIVE BRAINLY PLEASE HURRY
In triangle LMN, m∠L = (4c + 53)°. If the exterior angle to ∠L measures 87°, determine the value of c.

c = 87
c = 8.5
c = 35
c = 10

Answers

Answer:c=35

Step-by-step explanation:

i just did this

Carlos measures an angle x. He then finds that the complement of the angle is 35 degrees. A. What is the measure of angle x? B. What is the supplement of angle x?

Answers

Therefore , the solution of the given problem of complementary angles comes out to be x = 55° and y =125°.

Describe complimentary angles.

A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The angles of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplementary triangle tilt is two possible approaches combined to create a 180 degree angle. If the sum of two angles is 90 degrees, they are said to be complementary. A straight angle, to put it another way

Here,

Given :  complementary angle one of the angle is 35°

=>  x+ 35° = 90°

=> x = 55°

Let y be the supplement of angle x

=> x+ y = 180°

=>55° + y =180°

=>y =125°

Therefore , the solution of the given problem of angle comes out to be

x = 55° and y =125°.

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In Circle O, mAB = 72. Find m

Answers

Check the picture below.

draw and divide a rectangle to show each product use a distributive property to find the product 5×14

Answers

The product of 5 and 14 using the distributive property is 70.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

For three numbers a, b and c, Distributive property states that,

a (b + c) = a b + a c

We have to find the product 5 × 14 using distributive property.

5 × 14 = 5 (12 + 2)

Using distributive property,

5 × 14 = (5 × 12) + (5 × 2)

          = 60 + 10

          = 70

Hence using distributive property, we can find the product of 5 and 14 as 70.

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156x2.2=?????Help fast

Answers

Answer:

343.2

Step-by-step explanation:

156 × 2.2

= (156 × 22)/10

= 3432/10

= 343.2

Will mark brainliest!!
Consider the circumscribed angle. Determine the value of x.

1)

x = 12


2)

x = 29


3)

x = 4.75


4)

x = 17

Answers

Answer:

x = 12

Step-by-step explanation:

i. 29 = 2x + 5 [The length of two tangents to a circle at the point of contact from the same external point are equal]

ii. 29 - 5 = 2x

iii. 24 = 2x

iv. x = 24/2

v. x = 12

A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad.

The probability of drawing a bag with bad potatoes is less than 1.
True or False

The probability of drawing a bag with good potatoes is greater than 0.
True or False

What is the probability of drawing a bag with bad potatoes?


What is the expected probability of the complement of the event?

Answers

Answer:

The probability of drawing a bag with bad potatoes is less than 1. True

The probability of drawing a bag with good potatoes is greater than 0. True

What is the probability of drawing a bag with bad potatoes?

The probability of drawing a bag with bad potatoes is (2 bad bags) / (20 total bags) = 0.1 or 10%.

What is the expected probability of the complement of the event?

The complement of the event of drawing a bag with bad potatoes is drawing a bag with good potatoes. The probability of drawing a bag with good potatoes is (18 good bags) / (20 total bags) = 0.9 or 90%.

Uday Tahlan

You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Answer: $272

Step-by-step explanation: you would multiply 250 * 0.022 = 5.5

then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272

What is the area of the circle if BC = 6cm?

Answers

Answer:

[tex]A=9\pi cm^{2}[/tex][tex]=28.27cm^{2}[/tex]

Step-by-step explanation:

If  BC= 6

then r = BC/2 = 6/2 = 3cm

[tex]A=\pi r^{2} =\pi (3)^{2} =9\pi[/tex]

[tex]A=28.27cm^{2}[/tex]

Hope this helps

If Nayesha pumps 9.4 gallons of gas in her gas tank and each gallon costs $2.98, how much money will she spend? QUCIKLY

Answers

Answer:

28.012

Step-by-step explanation:

9.4*2.98 = 28.012

Find the length of AB.

Answers

The length of AB in the line segment is 21 units.

How to find the length of a line segment?

A line segment is bounded by two distinct points on a line. In other words, a line segment is a part of a line that connects two points which are considered to be its endpoints.

Therefore, let's find the length AB, in the line segment AC.

Hence,

AC = AB + BC

AC = 23

AB = 2x + 7

BC = 3x - 19

Therefore,

23 = 2x + 7 + 3x - 19

23 = 5x  - 12

23 + 12 = 5x

35 = 5x

divide both sides by 5

x = 35 / 5

x = 7

Therefore,

AB = 2x + 7 = 2(7) + 7 = 14 + 7 = 21

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Ian is taking a true/false quiz that has four questions on it. The correct sequence of answers
is T, T, F, T. Ian has not studied and yet guesses all answers correctly- He decides he wants
to determine how likely this is to happen using a simulation. He decides to use a fair coin to
do the simulation.
Describe the design of a simulation that would allow Ian to determine how likely it would
be to guess all answers correctly on this quiz.

Answers

The design of a simulation that would allow Ian to determine how likely it would

be to guess all answers correctly on this quiz can be Illustrated through a coin.

How to design the simulation?

Ian can design a simulation to determine the likelihood of guessing all answers correctly on the quiz by using a fair coin. He can flip the coin four times, with each flip representing a guess on the quiz. If the coin lands heads up, he marks it as a true answer, and if it lands tails up, he marks it as a false answer.

He can repeat this process a large number of times (e.g. 1000) and count the number of times that the sequence T, T, F, T is generated. The proportion of times that this sequence is generated out of the total number of simulations will be an estimate of the probability of guessing all answers correctly on the quiz by chance.

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13 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
5 feet deep on both sides of the street along a 2.7-mile section of a parade route.

Answers

The size of the crowd that is 5 feet deep on both sides of the street along a 2.7 -mile section of a parade route is 74,131 people.

How to calculate the crowd?

The number of people that can fit comfortably in a 5 feet by 5 feet area = 13.

Therefore;

The ratio of the number of people per unit area = 13/(5 × 5) = 13/25

The area A occupied by the crowd = 5 feet × 2.7 mile × 2

2.7 miles = 14,256 feet

∴ A = 5 feet × 14,256 feet × 2 = 1,42,560ft²

We then have:

[tex]\frac{number\ of\ people}{1,42,560} = \frac{13}{25}[/tex]

∴Number of people = 13/25 × 1,42,560 = 74,131.2 ≈ 74,131 people

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Five student government officers want to go to the state convention. It will cost them $115 for registration, $365 for transportation and food, and $55 per person for the hotel. There is $485 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $6 per car, how many cars must they wash in order to have enough money to pay for the trip?

Answers

Answer:

45 cars

Step-by-step explanation:

115+365+(55*5) = 755

755 - 485 =270

270/6 = 45

It is industry norms and key business ratios Dunn and Bradstreet reported that Q1 Q2 and Q3 were 2037 gasoline service stations sales to inventory ratios or 24 833.4 and 53.8 respectively from this we can conclude that what percentage of these service stations have sales to inventory ratio

Answers

From the inventory ratios of  24 8, 33.4 and 53.8 of  Dunn and Bradstreet report. It can be concluded that

50% of these service station had sales to inventory ratios of 53.8 or more

How to find the correct statement about the reports

The problem is seeking expression of ratios in percentage

Ratios represents part or share of a whole while percentage refers to a fraction of hundred

Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up

= 24 8 + 33.4 + 53.8

= 108

Expressing as ratio 53.8 a percentage, we have

= 53.8/108 * 100

= 0.4981 * 100

= 49.81%

approximately 50%

We can therefore say that inventory of 53.8 or more is 50%

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please help with geometry proof

Answers

Answer:

a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too

A student is graduating from college in 12 months but will need a loan in the amount of $10,958 for the last two semester. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:

Unsubsidized Stafford Loan: annual interest rate of 3.85%, compounded monthly, and a grace period of six months from time of graduation

PLUS loan: annual interest rate of 4.15%, compounded monthly, with a balance of $11,421.51 at the time of repayment

Which loan will have a higher balance, and by how much at the time of repayment?

Answers

Answer:

To determine which loan will have a higher balance at the time of repayment, we need to calculate the balance of each loan after the interest has been compounded over the repayment period.

The unsubsidized Stafford Loan has an annual interest rate of 3.85% and a grace period of six months from the time of graduation. This means that the loan will accrue interest for a total of 12 months - 6 months = 6 months.

The balance of the unsubsidized Stafford Loan at the time of repayment can be calculated using the following formula:

Balance = Principal * (1 + Interest rate / Number of compounding periods per year)^(Number of compounding periods)

Plugging in the given values, we have:

Balance = $10,958 * (1 + 0.0385 / 12)^(6) = $10,958 * (1.003125)^(6) = $11,283.16

The PLUS loan has an annual interest rate of 4.15% and a balance of $11,421.51 at the time of repayment.

The balance of the PLUS loan at the time of repayment can be calculated using the same formula:

Balance = $11,421.51 * (1 + 0.0415 / 12)^(6) = $11,421.51 * (1.003479)^(6) = $11,973.54

Therefore, the PLUS loan will have a higher balance at the time of repayment, by $11,973.54 - $11,283.16 = $690.38.

Step-by-step explanation:

Anthony's brother was 0.45
meters tall last year. He grew
another 0.5 meters this past
year. How tall is he now?

Answers

Answer:

0.95meters

Step-by-step explanation:

last year her was 0.45m tall

this past year he is 0.5m

Total = 0.45 + 0.5 = 0.95

Answer: 0.95

Step-by-step explanation: add 0.45+0.5=0.95

evaluate 5² + 7 - 3 +4

Answers

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 5² + 7 - 3 + 4

Simplify the expression, then we have

⇒ 5² + 7 - 3 + 4

⇒ 25 + 7 - 3 + 4

⇒ 36 - 3

⇒ 33

The value of the numerical expression 5² + 7 - 3 + 4 will be 33.

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What does 69 divided by 310.5 equal in decimal form?

Answers

The answer would be 0.22222222
You need to take 69 and divide it by 310.5 and you will get your answer.
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