Answer:
To find the values of a and b, we need to find the equation of the tangent to the curve at x=2.
We begin by finding the derivative of the function y=ax^2 -5x + 2:
y' = 2ax - 5
Next, we can substitute x=2 into the derivative to find the slope of the tangent at x=2:
y'(2) = 2a(2) - 5 = 4a - 5
We know that the equation of the tangent line at x=2 is y=7x+b. To find b, we can substitute x=2 and solve for y:
y=7x+b
y=7(2)+b
y=14+b
Now that we know that the point (2, 14+b) lies on the curve and the tangent, we can set the derivative of the curve equal to the slope of the tangent at x=2:
4a - 5 = 7
Solving for a, we get:
4a = 12
a = 3
Now we can substitute a=3 into the equation of the derivative to find the slope of the tangent at x=2:
y'(2) = 4a - 5 = 7
Therefore, the equation of the tangent to the curve y=ax^2 -5x + 2 at the point where x=2 is y=7x+0.
So, the values of the constants are a=3 and b=0.
The values of constants 'a' and 'b' are determined based on the properties of the tangent line at a given point. By taking the derivative to find the slope of the tangent and substituting the given X-value, we find that a = 3. By comparing the Y-values in both original and tangent line equations, we find that b = -10.
Explanation:To find the values of the constants a and b, you should first take the derivative of the equation of the curve to find the slope of the tangent at any point. Here, the equation is y = ax^2 - 5x + 2. The derivative is y' = 2ax - 5. We substitute the given value of x=2 into this equation to find the slope of the tangent at this point, which is stated to be 7. So, 2a*2 - 5 = 7, solving for a we get a = 3.
Next, we need to find the value of b. We know the equation of the tangent line is y = 7x + b and we also know that the tangent line touches the curve at the point where x = 2. Thus, we substitute x = 2 into both equations to find the corresponding y value. That must be equal in both equations since it's the same point. So, we substitute x=2 in the curve's equation to find y, we get y = 3*2^2 - 5*2 + 2 = 4. But, from the tangent's equation y = 7*2 + b, solving for b gives us b = 4 - 14 = -10.
Learn more about Finding Constants in a Parabolic Function here:https://brainly.com/question/35698982
#SPJ2
Which best describes the range of possible values for the third side of the triangle?x < 12.5, x > 18.912.5 < x < 18.9x < 6, x > 266 < x < 26
Answer: The range of possible values for the third side of the triangle is: 12.5 < x < 18.9. This is because the length of any side of a triangle must be greater than the difference between the other two sides and less than the sum of the other two sides. Therefore, we have:
12.5 < 31 - x (from x > 18.9)12.5 + x > 31 (from x < 18.9)18.5 < x < 18.9
Rounding to one decimal place, we get 12.5 < x < 18.9.
In a sample of 300 adults, a researcher tests the hypothesis that men and women differ in the amount of time (number of hours) they spend exercising weekly. Which statistical test would the researcher likely use
The researcher would likely use an independent samples t-test.
The researcher would likely use an independent samples t-test to test the hypothesis that men and women differ in the amount of time they spend exercising weekly.
This is because an independent t-test is appropriate when comparing the means of two independent groups, in this case, men and women.
However, before conducting the t-test, the researcher should check if the data meets the assumptions of normality and equal variance. If these assumptions are not met, alternative tests such as the Wilcoxon rank-sum test may be more appropriate.
for such more question on independent samples
https://brainly.com/question/25223322
#SPJ11
Let U be the set of all tax returns, A be the set of all tax returns with the standard deduction, B be the set of all tax returns showing business income, C be the set of all tax returns filed in 2007, and D be the set of all tax returns selected for audit. Describe the set (A U B) -C in words.
A. The set of all tax returns with standard deduction or showing business income, but not selected for audit
C. The set of all tax returns with standard deduction and showing business income, but not selected for audit
D. The set of all tax returns without standard deduction and showing business income, but not selected for audit
in words.
The set of all tax returns with either the standard deduction or showing business income, but not filed in 2007, and not selected for audit.
What is the meaning of the set (A U B) - C in the context of tax returns?The set (A U B) - C represents the set of all tax returns with either the standard deduction or showing business income, but not filed in 2007.
In other words, it represents the set of all tax returns that have the standard deduction or show business income, but were not filed in 2007, and were not selected for audit.
Learn more about "set"
brainly.com/question/2332158
#SPJ11
7. Which type of function best models the data in the table? Use the differences or ratios:
X. Y
-1 2.5
0 5
1 10
2 20
3 40
The function best models the data in the table is y=2.5x+5.
From the given table, the coordinate points are (-1, 2.5) and (0, 5).
Here, slope (m) = (5-2.5)/(0+1)
m = 2.5
Substitute m=2.5 and (x, y)=(0, 5) in y=mx+c, we get
5=2.5(0)+c
c=5
So, the equation is y=2.5x+5
Therefore, the function best models the data in the table is y=2.5x+5.
To learn more about the equation of a line visit:
https://brainly.com/question/2564656.
#SPJ1
Find the co-function for each function
sin (29) =14/16
The cofunction of sin29 = cos61
What is a cofunction?A cofunction is the complementary function of a trigonometric ratio
To find the cofunction of the given trigonometric ratio, we proceed as follows.
We see that the trigonometric ratio given is a sine function which is sin29 = 14/16.
So, it co function is a cosine.
So, sinx = cos(90 - x) where x = 29
So, sin29 = cos(90 - 29)
= cos61
So, the cofunction of sin29 = cos61
Learn more about cofunction here:
https://brainly.com/question/29896620
#SPJ1
A ship leaves a port with a direction of North-25°-West, and travels 4 miles. Then, the ship
turns leftt and travels 11 miles. At this point, what is the bearing from the port to the ship?
Round your answer to the nearest hundredth.
The bearing from the port to the ship can be calculated using trigonometry. The ship’s initial direction of North-25°-West can be represented as an angle of 360° - 25° = 335° measured clockwise from north. After traveling 4 miles in this direction, the ship turns left (90° counterclockwise) and travels 11 miles. This means the ship is now traveling in a direction of 335° - 90° = 245°.
We can represent the ship’s movements as a right triangle with legs of length 4 and 11 miles. The angle between these two legs is 90°, so we can use the Pythagorean theorem to find the distance from the port to the ship: sqrt(4^2 + 11^2) = sqrt(137) ≈ 11.70 miles.
To find the bearing from the port to the ship, we need to find the angle between the north direction and the line connecting the port and the ship. We can use trigonometry to find this angle: tan^-1(11/4) ≈ 69.44°. Since the ship is west of north from the port, this means the bearing from the port to the ship is North-69.44°-West or approximately N69.44°W.
The weekly output of a steel mill is a uniformly dis- tributed random variable that lies between 110 and 175 metric tons. a. Compute the probability that the steel mill will produce more than 150 metric tons next week. b. Determine the probability that the steel mill will produce between 120 and 160 metric tons next week.
(a) The probability that the steel mill will produce more than 150 metric tons next week is approximately 0.3846 or 38.46%.
(b) The probability that the steel mill will produce between 120 and 160 metric tons next week is approximately 0.6154 or 61.54%.
How to find the probability?a. To compute the probability that the steel mill will produce more than 150 metric tons next week, we need to find the area under the probability density function (PDF) of the uniform distribution from 150 to 175.
Since the uniform distribution has a constant PDF, the probability is equal to the ratio of the length of the interval [150, 175] to the length of the entire interval [110, 175]:
P(X > 150) = (175 - 150) / (175 - 110) = 25 / 65 = 0.3846
Therefore, the probability that the steel mill will produce more than 150 metric tons next week is approximately 0.3846 or 38.46%.
How to find the probability?b. To determine the probability that the steel mill will produce between 120 and 160 metric tons next week, we need to find the area under the PDF of the uniform distribution from 120 to 160.
Again, since the uniform distribution has a constant PDF, the probability is equal to the ratio of the length of the interval [120, 160] to the length of the entire interval [110, 175]:
P(120 < X < 160) = (160 - 120) / (175 - 110) = 40 / 65 = 0.6154
Therefore, the probability that the steel mill will produce between 120 and 160 metric tons next week is approximately 0.6154 or 61.54%.
Learn more about probability
brainly.com/question/31120123
#SPJ11
First-order logic also includes all of the connectives available in propositional logic,
so we can form sentences like:
Yes, that is correct. First-order logic includes all of the connectives available in propositional logic, such as "and," "or," "not," "implies," and "if and only if."
However, first-order logic also goes beyond propositional logic by introducing quantifiers and variables to allow for more complex expressions and reasoning.
The relationship between first-order logic, connectives, and propositional logic. First-order logic indeed includes all the connectives available in propositional logic, allowing us to form more complex sentences.
In propositional logic, we use simple statements or propositions that can be true or false. Connectives, such as AND, OR, NOT, and IMPLIES, are used to combine these propositions into more complex expressions.
First-order logic expands upon propositional logic by introducing quantifiers like "for all" (∀) and "there exists" (∃) and predicates, which are relations or properties involving one or more variables. This allows us to represent more complex statements and relationships.
Since first-order logic includes connectives from propositional logic, we can form sentences that combine both quantifiers and connectives, allowing for richer and more expressive representations of information.
Visit here to learn more about First-order logic:
brainly.com/question/30761328
#SPJ11
Todor was trying to factor
10
�
2
−
5
�
+
15
10x
2
−5x+1510, x, squared, minus, 5, x, plus, 15. He found that the greatest common factor of these terms was
5
55 and made an area model:
To find the width of Todor's area model for the expression 10x² - 5x + 15x, we first factored out the GCF 5x. The factors of the GCF are 5, x, and -1/111, which we wrote in an area model. We then added the absolute values of the coefficients of the factors to get a width of 1 + (1/37).
The expression to factor is 10x² - 5x + 15x
Find the GCF of the terms in the expression
We can factor out 5x from all three terms
10x² - 5x + 15x = 5x(2x - 1 + 3)
The GCF of the expression is 5x.
Write the factors of the GCF with their coefficients in the area model
We can write the area model as in image.
To Find the width of the area model
The width of the area model is the sum of the absolute values of the coefficients of the factors. So, we can add the absolute values of the coefficients in the third row of the area model
|(-5/555)| + |1| + |(-1/111)| = (5/555) + 1 + (1/111) = 1 + (1/37)
Therefore, the width of Todor's area model is 1 + (1/37).
To know more about GCF:
https://brainly.com/question/11444998
#SPJ1
--The given question is incomplete, the complete question is given
"Todor was trying to factor 10x²-5x+1510x
, x, squared, minus, 5, x, plus, 1510x. He found that the greatest common factor of these terms was 555 and made an area model:
What is the width of Todor's area model?"--
A paper airplane flies through the air 26 meters towards the west during a 20 second period. What is the average velocity of the paper airplane?
1.3 m/s westward
1.3 m/s
0.77 m/s westward
0.77 m/s
7 less than a number
Answer:
34
Step-by-step explanation:
"Seven less than a number"
means that we need to subtract 7 from the
unknown number and the result would be 34.
Which quadatic function represents a parabola with roots of 6 and-4, and passes through the point (2,4)
A- y= -¼ (x - 6) (x + 4)
B- y= -¼ (x + 6) (x - 4)
C- y= -⅙ (x - 6) (x + 4)
D-y= -⅙ (x + 6) (x - 4)
The quadratic function that satisfies the given conditions is f(x) = (-1/6)(x - 6)(x + 4). Option C is correct.
We can start by using the fact that the roots of the quadratic function are 6 and -4. If a quadratic function has roots of r₁ and r₂, then it can be written in factored form as:
f(x) = a(x - r₁)(x - r₂)
Using this formula, we can write the quadratic function in factored form as:
f(x) = a(x - 6)(x + 4)
Now we can use the given point (2,4) to solve for the value of a. Substituting x = 2 and y = 4 into the equation gives:
4 = a(2 - 6)(2 + 4)
a = -1/6
Therefore, the quadratic function that satisfies the given conditions is:
f(x) = (-1/6)(x - 6)(x + 4). Option C is correct.
Learn more about quadratic function here:
https://brainly.com/question/30929439
#SPJ1
Create an equivalent expression that includes a set of parentheses that make the value of the expression 13. remember, you can have two or more numbers within the set of parentheses
The equivalent expression that includes a set of parentheses and has a value of 13 is (6 + 8) - (4 × 1) + 3.
To create an equivalent expression with a value of 13 using a set of parentheses, we can combine different mathematical operations. Here's one possible expression:
(6 + 8) - (4 × 1)
In this expression, we have two sets of parentheses. The first set (6 + 8) adds 6 and 8 together, resulting in 14. The second set (4 × 1) multiplies 4 and 1, resulting in 4. Finally, we subtract the value within the second set of parentheses from the value within the first set of parentheses: 14 - 4 = 10.
So, the expression (6 + 8) - (4 × 1) has a value of 10. However, we want to make the value of the expression 13. To do that, we can add 3 to the result:
(6 + 8) - (4 × 1) + 3
Now, when we evaluate this expression, we have 10 + 3 = 13.
Know more about parentheses here;
https://brainly.com/question/28146414
#SPJ11
The time required to load a truck is exponentially distributed with a mean of 30 minutes. What is the probability that a truck will be loaded in 30 minutes or less. Enter your answer as a decimal rounded to 3 decimal places
The probability that a truck will be loaded in 30 minutes or less, given that the time required to load a truck is exponentially distributed with a mean of 30 minutes, is approximately 0.632.
Since the mean of an exponential distribution is equal to the reciprocal of the rate parameter, which is λ = 1/30 = 0.0333, the probability density function of the distribution is f(x) = λe^(-λx).
To find the probability that a truck will be loaded in 30 minutes or less, we need to integrate the probability density function from 0 to 30 minutes. This gives us P(X ≤ 30) = ∫(0 to 30) λe^(-λx)dx = 1 - e^(-λ*30) = 0.632. Therefore, the probability that a truck will be loaded in 30 minutes or less is approximately 0.632.
Learn more about probability here
https://brainly.com/question/13604758
#SPJ11
The radius of a circle is 12. What is the measure in radians if the angle subtended by an arc 11pi long
The measure of the angle in radians is 11π/12. This was found using the formula for the length of an arc, which involves the radius and angle in radians. Given the radius of 12 and length of the arc 11π, the angle was solved for.
The length of an arc of a circle is given by the formula
length of arc = radius x angle in radians
We are given that the radius of the circle is 12 and the length of the arc is 11π. Let's use the formula above to find the angle in radians
length of arc = radius x angle in radians
11π = 12 x angle in radians
Divide both sides by 12:
11π / 12 = angle in radians
So, the measure of the angle in radians is 11π / 12.
To know more about Circle:
https://brainly.com/question/11833983
#SPJ1
find the lateral and surface area of figure 4in 6in 5in?
The lateral surface area, of the figure formed by the net = 27 square inches
The correct answer is an option (b)
From the attached figure we can obaerve that the net represents the rectangular pyramid.
Here, the triangular sides of the pyramid represents the lateral surface.
The lateral surface area of the figure is nothing but the total surface area of the triangular faces.
Here, the two triangles have base b₁ = 6 in. and the height h₁ = 4.5 in.
Amd the remaning two triangles have base b₂ = 4 in. and height h₂ = 5 in.
Using the formula for the area of triangle,
A₁ = 2 × (1/2 × base × height)
A₁ = 2 × (1/2 × b₁ × h₁)
A₁ = 2 × (1/2 × 6 × 4.5)
A₁ = 2 × 3 × 4.5
A₁ = 27 sq. in.
And the area of remaining two triangles would be,
A₂ = 2 × (1/2 × base × height)
A₂ = 2 × (1/2 × b₂ × h₂)
A₂ = 2 × (1/2 × 4 × 5)
A₂ = 20 sq. in.
So, the lateral surface area, of the figure formed by the net would be,
A = A₁ + A₂
A = 27 + 20
A = 47 sq. in.
The correct answer is an option (b)
Learn more about the lateral surface area here:
https://brainly.com/question/11385509
#SPJ1
Find the complete question below.
Look at the net. what is the lateral surface area, in square inches, of the figure formed by the net
Which theorem provides a method for revising probabilities to reflect new information ?
The theorem that provides a method for revising probabilities to reflect new information is Bayes' theorem.
Bayes' theorem is a fundamental concept in probability theory and statistics that provides a way to update or revise probability estimates based on new or additional information.
It is named after the English statistician Thomas Bayes, who first formulated the theorem in the 18th century. Bayes' theorem is widely used in various fields such as science, engineering, medicine, finance, and artificial intelligence.
It is an essential tool for solving problems related to decision making, prediction, and classification.
Bayes' theorem is based on conditional probability, which describes the probability of an event given that another event has occurred. The theorem provides a formula for calculating conditional probabilities and allows for the incorporation of new information or evidence into the probability estimate.
To know more about probability refer to-
https://brainly.com/question/30034780
#SPJ11
An airplane leaves Richmond on a Monday morning carrying 263 passengers to New York City. On Tuesday morning, there are 154 passengers flying from Richmond to New York City. Which is closest to the percent decrease in the number of passengers?
The percent decrease in the number of passengers is 41.44%. The Option A is correct.
What is the percent decrease in the number of passengers?To get percent decrease, we have to find difference between (initial and final numbers of passengers) and divide initial number in percentage.
Data
Initial number of passengers = 263
Final number of passengers = 154
Difference = 263 - 154 = 109
Percent decrease = (Difference / Initial number) x 100%
Percent decrease = (109 / 263) x 100%
Percent decrease = 0.4144486692
Percent decrease = 41.44%
Read more about percentage decrease
brainly.com/question/30759749
#SPJ1
A chord of a circle is 12 cm long the radius of the circle is 10cm calculate the distance of the mid point of the chord to the center
The distance of the mid point of the chord to the center is 8 cm.
Given a circle.
Length of the chord of a circle = 12 cm
Radius of the circle = 10 cm
We have to calculate the distance of the mid point of the chord to the center.
When a line is drawn from the mid point of the chord to the center, there forms a right triangle where hypotenuse is the radius and the legs are the half of the chord and the distance from the mid point to the center.
Using the Pythagoras theorem,
Distance from mid point to the chord = √10² - 6² = √64 = 8 cm
Hence the distance from the center of the chord to the mid point is 8 cm.
Learn more about Chords here :
https://brainly.com/question/1654080
#SPJ4
A diver leaves the diving board 9.25 feet above the surface of the pool and travels downward. His dive carries him 3.25 feet below the surface of the pool. What is the total distance of the dive?
What is the solution to the equation below?
The solution to the equation is x = 4/15
How to determine the solutionIt is important to note that algebraic expressions are described as expressions that are made up of variables, constants, factors and coefficients.
From the information given, we have that;
√4 - 3x/√3x = 2
cross multiply the values, we have;
√4 - 3x = 2√3x
Now, find the square root of both sides, we have;
4 - 3x = 4(3x)
expand the bracket, we have;
4-3x = 12x
collect the like terms
12x + 3x = 4
add the values
15x = 4
Make 'x' subject
x = 4/15
Learn more about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
ANOVA stand for ____________.
a. Another nasty overly vile analysis
b. Analysis of variable averages.
c. Analysis of variance.
d. Analysis of means
The correct option is c. Analysis of variance.
Why option c is correct?ANOVA stands for Analysis of Variance, which is a statistical method used to test the equality of three or more population means by analyzing the variance between samples.
In an ANOVA, the variance is partitioned into different components, including the variance between groups and the variance within groups. If the variance between groups is larger than the variance within groups, it suggests that there are significant differences between the means of the groups being compared.
ANOVA is commonly used in experimental research to test the effects of one or more independent variables on a dependent variable. It allows researchers to determine whether the means of different groups are significantly different from one another, and if so, which groups are significantly different.
Overall, ANOVA is a powerful statistical tool that enables researchers to test hypotheses and draw conclusions about the differences between multiple groups or treatments.
Learn more about Analysis of Variance
brainly.com/question/30038124
#SPJ11
Test Yourself
The divisibility by a prime theorem says that every integer greater than 1 is ________________________________.
The divisibility by a prime theorem states that every integer greater than 1 is either itself a prime number or can be expressed as a product of prime numbers.
In other words, every integer greater than 1 can be factored into a unique product of primes. This is a fundamental result in number theory, and is often used to prove other theorems and results.
The proof of this theorem relies on the fact that any integer greater than 1 can be factored into a product of prime factors. We can then use mathematical induction to show that any integer greater than 1 can be expressed as a product of primes.
The base case is that 2 is a prime number, and the induction step relies on the assumption that any integer less than n can be expressed as a product of primes.
This theorem has many important applications, such as in determining the prime factorization of an integer, finding the greatest common divisor of two integers, and solving Diophantine equations. It is also used in cryptography, where it is essential to factor large numbers into their prime factors in order to break certain encryption algorithms.
To know more about integer refer to-
https://brainly.com/question/15276410
#SPJ11
If A is an n by n matrix and the equation Ax=b has more then one solution for some b, then the transformation x|->Ax is not one to one, What else can be said about this transformation?
If the transformation x -> Ax is not one-to-one, it means that there exist two distinct vectors x1 and x2 such that Ax1=Ax2. In other words, there are multiple ways to obtain the same result b using different x vectors.
What does it mean if the transformation x -> Ax is not one-to-one?If the transformation x -> Ax is not one-to-one, it means that there exist two distinct vectors x1 and x2 such that Ax1=Ax2. This implies that the transformation maps different vectors in the domain to the same vector in the range.
In other words, there are multiple ways to obtain the same result b using different x vectors.
This fact has important implications in linear algebra. One consequence is that the matrix A does not have an inverse, since the inverse would have to map the same output b to two different inputs x1 and x2.
Another consequence is that the equation Ax=b has either zero or infinitely many solutions.
Learn more about Injective transformation
brainly.com/question/31383436
#SPJ11
HELP URGENT
4x+2/x+7=g(x)
Turn this in (a/x-h)+k form
The value of expression in (a/x-h)+k form is,
⇒ - 26 / (x + 7) + 4
We have to given that;
Expression is,
⇒ (4x + 2) / (x + 7)
Now, We can simplify as;
⇒ (4x + 2) / (x + 7)
⇒ 4 - 26 / (x + 7)
⇒ - 26 / (x + 7) + 4
Thus, The value of expression in (a/x-h)+k form is,
⇒ - 26 / (x + 7) + 4
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
A random sample of 100 men is chosen from a population * Uh mean height 70 inch and standard deviation 2.5 inch. What is the probability that the average height of the sample men is greater than 69.5
The probability that the average height of the sample men is greater than 69.5 inches is approximately 0.9772 or 97.72%.
To find the probability that the average height of the sample men is greater than 69.5 inches, we will use the Central Limit Theorem and the z-score formula.
Identify the given values:
- Population mean (μ) = 70 inches
- Population standard deviation (σ) = 2.5 inches
- Sample size (n) = 100
- Sample mean ([tex]\bar{x}[/tex]) = 69.5 inches.
According to the Central Limit Theorem, the distribution of sample means will be approximately normally distributed with mean μ and standard deviation σ/√n.
Calculate the standard deviation of the sample means [tex](\sigma \bar{x} )[/tex]
[tex](\sigma \bar{x} ) = \sigma /\sqrt{n }[/tex]
= 2.5/√100
= 2.5/10
= 0.25
Calculate the z-score using the formula:
[tex]z = ([\bar{x}- \mu )/\sigma\bar{x}[/tex]
= (69.5 - 70)/0.25 = -0.5/0.25
= -2
Use a z-table or calculator to find the probability that a z-score is greater than -2:
P(z > -2) = 1 - P(z ≤ -2) = 1 - 0.0228 = 0.9772.
For similar question on probability.
https://brainly.com/question/28340049
#SPJ11
Carmen claims she needs to replace the hybrid battery after driving about 100000 miles
It is possible that a hybrid battery may need to be replaced after driving 100,000 miles, but it is not necessarily a given. The lifespan of a hybrid battery can vary depending on several factors.
The lifespan of a hybrid battery depends on various factors such as the make and model of the car, the age of the battery, driving habits, and the frequency of use. Some manufacturers claim that their hybrid batteries can last up to 150,000 miles or more. However, if the battery is not properly maintained or if the car is driven aggressively, it may degrade more quickly. Furthermore, extreme temperatures can also affect the lifespan of the battery. For example, very cold temperatures can reduce the battery's capacity, while extremely hot temperatures can cause damage to the cells. Therefore, while it is possible that a hybrid battery may need to be replaced after driving 100,000 miles, it is not necessarily a reasonable claim without considering the specific circumstances of the car and battery. It is best to consult with a certified mechanic to evaluate the condition of the battery and determine if replacement is necessary.
Learn more about battery here
https://brainly.com/question/5059264
#SPJ11
Carmen claims she needs to replace the hybrid battery after driving about 100000 miles. Is this a reasonable claim?
Determine the domain and range of the following function:
{ (0,0), (1,1), (2, 4), (3,9), (5,25) }
The range of the function is {0, 1, 4, 9, 25}.
The given function maps each input value to its corresponding output value:
Domain: The domain of a function refers to the set of all possible input values for which the function is defined. In this case, the given function has input values of 0, 1, 2, 3, and 5. Therefore, the domain of the function is {0, 1, 2, 3, 5}.
Range: The range of a function refers to the set of all possible output values that result from the function. Looking at the given function, the output values correspond to the squares of the input values.
In summary:
Domain: {0, 1, 2, 3, 5}
Range: {0, 1, 4, 9, 25}
Know more about range here:
https://brainly.com/question/28135761
#SPJ11
6.2 km x __________ = 6200 m
Answer:
6.2 km x 1000 = 6200 m
Step-by-step explanation:
So, 6.2 kilometers = 6.2 × 1000 = 6200 meters. Conversion of 6.2 kilometers to other length, height & distance units -web
Show that if A is invertible, then det A-=1/det A.
What theorem should be used to examine the quantity det A-1? Choose the correct answer below.
A square matrix A is invertible if and only if det A
B. If A is an n times n matrix, then det AT = det A.
C. If A and B are n times n matrices, then det AB = (det A)(det B).
D. If one row of a square matrix A is multiplied by k to produce B, then det B=k (det A)
