The domain of a radical function is the set of all x for which the radicand is positive. True or false?
The domain of a radical function is the set of all x for which the radicand is positive.
Explanation:The statement in the question is almost correct. The domain of a radical function is the set of all x for which the radicand is non-negative, not just positive.
A radical function is defined as a function that contains a radical expression, which is the square root or any higher-order root of a variable or expression. The domain of a radical function is the set of all values of x that make the radicand, which is the expression inside the radical, positive.
For example, let's consider the function f(x) = √(x+3). The radicand x+3 can only be positive for values of x greater than -3. Therefore, the domain of this function is (-3, ∞).
Learn more about Radical function here:https://brainly.com/question/31910587
#SPJ2
it is not d it is c i just took the test
Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?
A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions
Kyle needed to find the solution to a system of equations by graphing. According to the graph, what is the solution?
A) (2,6)
B) no solution
C) imaginary numbers
D) infinite solutions
Factor this trinomial completely. -6x3 + 26x2 + 20x A. -2x(3x + 5)(x - 2) B. -2x(3x + 2)(x - 5) C. -2(3x + 2)(x - 5) D. -2(3x + 5)(x - 2)
.
A normal probability plot of the survival times of the guinea pigs in a medical experiment is shown below. Use this plot to describe the shape of the distribution of survival times. Then, explain carefully how this shape is seen in the normal probability plot. That is, make the connection between the normal probability plot and the shape of the data.
https://api.agilixbuzz.com/Resz/~hdAcBAAAAAQ99yZmb7l1SA.XDuW_wcASaP2dYyG_RjrDD/62689880,708,1,1,0/Assets/flvs/apstatistics_v9_gs-xml/res0019/01_16a_e.gif
What is true about a pseudoscientific idea?
It can be replicated and verified.
It is improved with new information.
It ignores parts of the method within an investigation.
It tries to explain natural phenomena by analyzing, observing, and testing.
The answer is (C.) It ignores parts of the method within an investigation.
What is pseudoscience?Pseudoscience is a proposition, a finding, or a system of explanation that is presented as science but that lacks the rigor essential to the scientific method. Pseudoscience can also be the result of research that is based on faulty premises, a flawed experimental design, or bad data.
Among the most notable developments in the history of pseudoscience in the 19th century is the rise of Spiritualism (traced in America to 1848), homeopathy (first formulated in 1796), and phrenology (developed around 1800).
Learn more about pseudoscientific here: https://brainly.com/question/604092
#SPJ2
Perimeter of the rectangular playing field is 470 yards. the length of the field is 5 yards less than triple the width, what are the dimensions of the playing field
what is 7,925 divided by 72?
Can you show me the steps for this equation and answerF(x)=(x-3)^2+2
Solve the compound inequality shown below. Show steps.
-4< 3x -1<5
The length to width ratio of a wide-screen tv is 16:9. if a tv is 30 inches long, how wide is it?
the posted speed limit in many parts of europe is 100km/hr. what is the equivalent speed limit in miles per hour?
Sue spent $40 on one pair of shoes and earned $35 baking cookies. Write an expression using positive and/or negative integers to represent this situation. Evaluate the expression and interpret what it means.
Ian wants to promote his band on the internet. Site a offers website hosting for $4.95 per month with a $49.99 startup fee. Site b offers website hosting for $9.95 per month with no startup fee. Write and solve an inequality to determine how many months lan could have his wedsite on site b and still keep his total cost less than site a
Ian could have his website on site B for less than 10 months for it to be cheaper than hosting on site A.
Explanation:To solve this question, we need to find when the costs between site a and site b equal each other. Since site a charges $4.95 per month plus a $49.99 startup fee, the cost of site a can be modelled by the equation: 4.95x + 49.99. Site b charges $9.95 per month with no startup fee, so its cost can be modelled by the equation 9.95x. We can now set up the inequality as follows:
4.95x + 49.99 > 9.95x
To solve for x, we will subtract 4.95x from both sides of the inequality, getting 49.99 > 5x. Finally, we divide each side by 5 to solve for x, resulting in x < 10. So Ian could have his website on site b for less than 10 months and still keep his total cost less than site a.
Learn more about Inequality Problem-Solving here:https://brainly.com/question/15086723
#SPJ12
Spencer has a rectangular garden. The length and width are both odd numbers and the perimeter is 16 feet. What can be the area of his garden? Find all possible answers.
Area of rectangle = length x width
Perimeter of rectangle = 2 x (length + width)
Now we know that perimeter of rectangle = 16
2(length + width) = 16
Length + width = 16/2
Length + width = 8
Now the value of length and width is that if we add both values we have the answer 8.
So, here are some possible values of length and width and also that length and width are odd numbers;
Odd numbers are = 1,3,5,7,….
7 + 1 = 8
5 + 3 = 8
So, either length is 7 and with is 1 or length is 5 and width is 3
So area of rectangle = 7 x 1 = 7 or 5 x 3 = 15
Thus, the possible values of area of rectangle are 7 ft² and 15 ft².
The sum of negative eighteen and a number is eleven. What is the number?
Which equation could be used to solve the problem?
x - 18 = 11
18 - x = 11
-x + 18 = 11
x + 18 = 11
-18 +x = 11
rewrite as x-18 =11
x = 11+18 = 29
Answer:
x-18=11
step by step explanation
Compare the functions below: f(x) = −3 sin(x − π) + 2 g(x) x y 0 8 1 3 2 0 3 −1 4 0 5 3 6 8 h(x) = (x + 7)2 − 1 Which function has the smallest minimum?
Answer: 8
Step-by-step explanation:
if your average stride length is 2.6 feet how many strides will it take you to walk to grandparents house
The distance from your house to your grandparents house is 3.67 miles or 19377.6 ft.
So the total number of strides needed would be:
strides needed = 19377.6 ft / (2.6 ft / stride)
strides needed = 7,452.92 = 7,453 strides
As children grow, dosages for medications gradually approach those for adults. Clark’s rule is often used to determine the correct dosage for children.
Child’s dose = Adult dose x (Weight of child in pounds)/(150 pounds)
What dosage should be administered to a child weighing 28 pounds if the adult dose of a certain drug is 80 milligrams? Round your answer to the nearest whole milligram.
How much would a child have to weigh to receive the adult dosage? Explain why your answer is reasonable.
In the triangle abc, the measure of angle a is 40 degrees, and the measure of angle b is 65 degrees. can abc be a right triangle?
What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line.
A. y= -1.5x + 6
B. y= 1.5x +6
C. y= 1.5x - 12
D y=2x+6
Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6
The standard formula of expressing the equation of a line is;
y = mx + b where;
m is the slope
b is the y-intercept
Using the coordinate points (20,36) and (4, 12)
Get the slope:
[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]
The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6
Get the required equation:
[tex]y=mx+b\\y=1.5x + 6[/tex]
Hence the required for the linear model in the scatter plot is y = 1.5x + 6
Learn more here: https://brainly.com/question/17003809
4-t=3(t-1)-5 solve the equation
A meteor crater is 3300 feet in diameter. Approximate the distance around the crater. Use 3.14 for pie.
circumference = diameter x PI
3300 *3.14 = 10,362 feet
Answer:
Distance around the crater is 10362 feet.
Step-by-step explanation:
Given : A meteor crater is 3300 feet in diameter.
To find : Approximate the distance around the crater. Use 3.14 for pie.
Solution: We have given Diameter = 3300 feet.
Radius = [tex]\frac{Diameter}{2}[/tex].
Radius = [tex]\frac{3300}{2}[/tex].
Radius = 1650 feet.
Circumference = 2 * pi* radius.
Circumference = 2 *3.14* 1650.
Circumference = 3.14 * 3300.
Circumference = 10362 feet.
Therefore, Distance around the crater is 10362 feet.
The graph of a proportional relationship contains the point (8, 4).
What is the corresponding equation?
Enter your answer as a fraction in simplest form
Please help with this question thank you!
Simplify (4x3+ 13x − 7) − (6x2+ 9x + 2). −2x2+ 4x − 9 −2x2+ 22x − 5 4x3− 6x2+ 4x − 9 4x3− 6x2+ 22x − 5
What is the product of (2t + 1) ( t - 4)?
The required solution is 2t^2 -7t - 4.
It is required to find the product of the problem.
What is a distributive property?The distributive property of multiplication lets you simplify expressions wherein you multiply a number by a sum or difference. According to this property, the product of a sum or difference of a number is equal to the sum or difference of the products.
Given that:
By the distributive property to find the product of (2t + 1) ( t - 4).
=(2t +1)(t -4)
= 2t^2 + 1t -8t - 4
= 2t^2 -7t - 4
Therefore, the required solution is 2t^2 -7t - 4.
Learn more about distributive property here:
https://brainly.com/question/6041959
#SPJ2
Final answer:
The product of (2t + 1)(t - 4) is calculated using the FOIL method to be 2t² - 7t - 4.
Explanation:
To find the product of (2t + 1) and (t - 4), we use the distributive property (also known as the FOIL method in this context) to multiply each term in the first binomial by each term in the second binomial. Here is the step-by-step process:
Multiply the first terms: 2t × t = 2t².
Multiply the outside terms: 2t × -4 = -8t.
Multiply the inside terms: 1 × t = t.
Multiply the last terms: 1 × -4 = -4.
Add all the products together to get the final answer: 2t² + -8t + t + -4.
Combine like terms: 2t² - 7t - 4.
Thus, the product of (2t + 1)(t - 4) is 2t² - 7t - 4.
What's the answer and how do you do it?
List the next three terms in the following sequence: 1, 2, 4, 8, 16, 32,... a. 48, 80, 128 b. 64, 96, 160 c. 64, 128, 256 d. 46, 92, 184
Apply Mathematics (1)(
a. A company’s weekly revenue R is given by the formula R = - p^2+ 30p, where p is the price of the company’s product. The company is considering hiring a distributor, which will cost the company 4p + 25 per week.
The values of price p for the product to remain profitable must be less than 1 and 25.
The value of P that will maximize the profit is 13.
Maximum functionFor the given product to remain profitable, the revenue must continue to be greater than the cost that is R(p) > C(p)
Given the following parameters:
[tex]R(p) = - p^2+ 30p\\C(p)=4p+25[/tex]If R(p) > C(p), then;
[tex]- p^2+ 30p>4p+25\\p^2-26p+25<0[/tex]
Factorize to get the value of p
[tex]p^2-p-25p+25<0\\p(p-1)-25(p-1)<0\\(p-1)(p-25)<0\\p<1 \ and \ p<25[/tex]
Hence the values of price p for the product to remain profitable must be less than 1 and 25
To maxmimize the profit, dP/dp = 0
Profit = Revenue - Cost
Profit = [tex]- p^2+ 30p - 4p - 25[/tex]
Profit = [tex]-p^2+26p-25[/tex]
Differentiate the function and equate to zero;
[tex]dP/dp = -2p+26\\-2p + 26 = 0\\-2p = -26\\p=13[/tex]
Hence the value of P that will maximize the profit is 13
Learn more on cost and revenue functions here: https://brainly.com/question/25638609