What are the coordinates of the roots of the equation 3+2x-x^2

Functions OB and OC are linear. Option a and b are both linear.

A function F is said to be linear if it satisfies the two conditions of additivity and homogeneity. Additivity means that if we have two vectors v and w, then F(v+w) = F(v) + F(w). Homogeneity means that for any vector v and scalar k, F(kv) = kF(v).

In this case, we can test whether the given functions F are linear.

For F(A) = det(A), we can see that it is not linear since det(A+B) does not necessarily equal det(A) + det(B), and det(kA) does not necessarily equal k*det(A).

For F(A) = det(ATA), we can use the fact that det(AB) = det(A)*det(B) to rewrite it as det(A)*det(AT), which equals det(A)*det(A) since det(AT) = det(A). Therefore, we have F(A+B) = det((A+B)(A+B)T) = det(AA + AB + BA + BB) = det(AA) + det(AB) + det(BA) + det(BB). But since det(AB) = det(A)*det(B) and det(BA) = det(B)*det(A), we can simplify this to det(A)det(A) + det(B)det(B) + 2det(A)det(B) = F(A) + F(B) + 2det(A)det(B). This means that F(A+B) = F(A) + F(B) + 2(det(A)*det(B)), which shows that F(A) is not linear since the 2(det(A)*det(B)) term violates homogeneity.

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--The complete question is, In the following, v and w are vectors in R and A is a 3 × 3 matrix. F is a function mapping from R3--> R or R3x3 → R according to the given definitions. Which of the following functions F are linear?
a. OB, F(A) = det(A)
b. OC, F(A) = det(ATA)--

Answer:

2000

Hope this helps :)

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 3 places to the right.

The standard notation of the expression is 2 x 10³ is 2000.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

2 x 10³

Standard notation means writing an expression without any base and exponents.

Now,

10³ can be written as 1000.

So,

2 x 10³

= 2 x 1000

= 2000

Thus,

The standard notation is 2000.

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Answer:

1) A) Increases

2) C) Stays the same

Step-by-step explanation:

1) A) Increases (94 to 95)

2) C) Stays the same (95)

Answer:

3 hours working on problems, 1 hour reading

Step-by-step explanation:

From the given information:

We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.

We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.

Part 1 - Circumcenter: The point where all three sides of the triangle meet and intersect, also the center of the circle that passes through all three vertices of the triangle.

Intersect is an operation used in mathematics and computing to determine the common elements of two or more sets. It is usually written as a symbol (∩) and is used to return the set of all elements that are in both sets. For example, if A is the set of all even numbers and B is the set of all prime numbers, then A ∩ B will return the set of all prime even numbers.

- Orthocenter: The point where the three altitudes of the triangle intersect.
- Centroid: The point where the three medians of the triangle intersect.

Part 3: The three centers of the triangle (circumcenter, orthocenter, and centroid) can all be constructed using a straightedge and compass. The circumcenter is located at the intersection of the three sides, the orthocenter is located at the intersection of the three altitudes, and the centroid is located at the intersection of the three medians. From this, we can make the hypothesis that these three centers of a triangle are related in that they are all located at the intersection of two or more lines that form the triangle.

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Using the median concept, it is found that it suffered a 11.16% decrease.

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

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Answer:

The answer is the first one. It's also in my picture that I included

Answer: D. base currency

Step-by-step explanation: In the foreign exchange market, currencies are traded in pairs.  A currency pair consists of two currencies, with one currency being quoted against the other.

In a currency pair, the base currency is the first currency listed.  It is the currency against which the exchange rate is quoted.  In the case of USD/CAN, USD is the base currency.  The base currency serves as a reference point for calculating exchange rates. It helps determine the value of the quote currency which  is the second currency listed in a currency pair.  It represents the value of the quote currency needed to purchase one unit of the base currency.  

Furthermore, changes in the exchange rate reflect the strength or weakness of the base currency relative to the quote currency.

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Answer:

the correct answer is -1/16 i believe

Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Answer:

The mode is 1 and 2

Step-by-step explanation:

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {2, 1, 3, 0, 0, 2, 1, 1, 2} is 1 and 2 because they both occur three times, which is more than any other number

Answer:

The answer is a= fc-bd+be/c(d-e).

Step-by-step explanation:

Hello,

I hope you and your family are doing well!

a. The variable t represents the number of years since 1999, so the constraints for t can be written as t ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

b. To find the value of S(7), we substitute t = 7 into the function: S(7) = 1.084(7) + 17.392 = 22.688.

c. In context, the value of S(7) represents the amount of money, in billions of dollars, that the US government spent on science, space, and technology 7 years after 1999.

d. The key feature that is found when solving S(t) = 0 is the y-intercept of the graph of S(t). The y-intercept is the point where the graph crosses the y-axis.

e. The value for S(t) = 0 is not reasonable for the context because it represents the amount of money spent on science, space, and technology in 1999, which would be a negative number of years after 1999.

-----

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Step-by-step explanation:

All I did was minus 16 from 37 to get 21, then divided that by 3.

Answer:

Scalene and acute

Step-by-step explanation:

Answer:

Total ways possible = 104 ways

Step-by-step explanation:

Total ways possible = 104 ways

The figure is attached here for understanding.

In the figure, the blank points are those points where we can not reach.

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.

The probability of drawing two marbles from a box containing two blue marbles and three red marbles is calculated as follows. The total number of possible outcomes is calculated by multiplying the number of marbles in the box (2 blue and 3 red) by the number of marbles drawn (2): 5 x 5 = 25. The number of possible outcomes in which two blue marbles are drawn is calculated by multiplying the number of blue marbles in the box (2) by the number of marbles drawn (2): 2 x 2 = 4. The probability of drawing two blue marbles is thus 4/25 or 16%.  Similarly, the probability of drawing two red marbles is 12/25 or 48%. The probability of drawing one blue marble and one red marble is calculated by multiplying the number of blue marbles in the box (2) by the number of red marbles in the box (3): 2 x 3 = 6. The probability of drawing one blue marble and one red marble is thus 6/25 or 24%.

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After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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The type of equation is equivalent.

Equation systems that have the same solutions are said to be equivalent. A useful skill in both algebra class and daily life is the ability to recognize and solve comparable equations. View several illustrations of comparable equations, learn how to solve them for one or more variables, and consider how you may apply this knowledge outside of the classroom.

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Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

4 hours at 8 mph and 6hours at 12 mph.

Step-by-step explanation:

8t + 12(10-t) = 104

8t + 120 - 12t = 104

4t = 16

t = 4

The trip made on surrey was for 4 hours and on buckboard was for 6 hours.

Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.

Given that, the first part of the trip was in a surrey at 8 mph, and the last part was in a buckboard at 12 mph and the total trip was 104 miles and took 10 hours,

Speed = distance / time

Let t be the time,

Therefore,

8t + 12(10-t) = 104

8t + 120 - 12t = 104

4t = 16

t = 4

Therefore, we get, 4 hours at 8 mph and 6 hours at 12 mph.

Hence, the trip made on surrey was for 4 hours and on buckboard was for 6 hours.

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Answer:

The highway is 21 km long.

Step-by-step explanation:

\(\frac{1 billboard}{1.5 km} =\frac{14 billboard}{x}\)

x = 21 km

Answer:

7-10 years

Step-by-step explanation

A negative choice will stay on for about 7 years in real life, so it would be B since the answer choice B was the only one with the number 7 in it

The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.

Generally speaking, negative information such as late or missed payments, accounts that have been sent to collection agencies, accounts not being paid as agreed, or bankruptcies stays on credit reports for approximately seven years.

Here is a breakdown of some of the different types of “negative” information and how long you can expect the information to be on your Equifax credit report:

Late payments remain on a credit report for up to seven years from the original delinquency date -- the date of the missed payment.

Bankruptcy public records stay on your Equifax credit report from seven to 10 years, depending on the type of bankruptcy.

Other negative accounts, such as repossessions, can also stay on your report for up to seven years from the date of the first missed payment that led to the negative status.

Hence The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.

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The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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