The statement correctly describes the graph of g(x) if g(x) = f(x) + 3, it is the graph of f(x) translated 3 units down. The correct option is D.
What is transformation of graph?When an existing graph is modified to produce a new variation of the existing graph.
Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.
Thus, the correct option is D.
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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being tested for hepatitis will test as being infected 2% of the time. And research, the test is given to 30 healthy (not having hepatitis) subjects. Let X be the number of subjects who test positive for the disease
A. What is the probability that all 30 subjects will appropriately test as not being infected?
B. What are the mean and standard deviation of X?
C. To what extent do you think this is a viable test to use in the field of medicine?
Find the surface area of each right regular pyramid. a pentagonal pyramid with base sides 1.5 meters, base area 3.9 m2, and slant height 4 meters
Maria works at a bookstore. On Wednesday, she sold three times as many books as she did on Tuesday. On Thursday, she sold 8 fewer books than she did on Wednesday. During the three days, Maria sold 20 books. Create an equation that can be used to find m, the number of books Maria sold on Tuesday.
suzie divided a 3-pound bag of apples into 2 equal piles. How many lbs of apples are in each pile
Suzie's 3-pound bag of apples divided into two equal piles will result in each pile weighing 1.5 pounds. This is a basic arithmetic problem often referred to as equal distribution.
Explanation:Suzie is dividing a 3-pound bag of apples into two equal piles. This is a simple division problem where the total weight of apples (3 pounds) is distributed equally into two piles. Therefore, we simply divide the total weight by the number of piles.
To calculate the weight of apples in each pile, we divide the total weight (which is 3 lbs) by the number of piles (which is 2). So, 3 lbs ÷ 2 = 1.5 lbs. Each pile would weigh 1.5 lbs.
This type of problem is often referred to as an equal distribution problem in mathematics. It falls under the category of basic arithmetic and is typically taught in lower grades.
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Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?
Answer:
It would take them 7.2 hours.
Share 450 in the ratio of 4:5
What is sin (51)?
Answer Choices : 1.23 , 0.63 , 0.51 , 0.78
Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.
What is the remainder when the positive integer n is divided by 12 ? (1) when n is divided by 6, the remainder is 1. (2) when n is divided by 12, the remainder is greater than 5?
What is the measure of the angle?
What are the factors of x^2-64
The factors of x^2 - 64 are (x - 8) and (x + 8), derived by recognizing the expression as a difference of squares and applying the formula a^2 - b^2 = (a - b)(a + b).
Explanation:The question asks about the factors of x^2-64. This expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b). In this case, x^2 is a^2, and 64 is b^2, with b being 8 since 82 = 64. Applying the formula, we get:
x^2 - 64 = (x - 8)(x + 8)
This shows that the factors of x^2-64 are (x - 8) and (x + 8). This process of factoring by recognizing patterns, especially the difference of squares, is a useful algebraic skill when simplifying expressions or solving equations.
Which set of ordered pairs could be generated by an exponential function?
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)
For this case we must find the set of ordered pairs that form an exponential function.
When observing, the last set of ordered pairs is an exponential function of the form:
[tex]y = 3 ^ x[/tex]
For x = 0:
[tex]y = 3 ^ 0 = 1[/tex]
We have the ordered pair:
[tex](x, y): (0, 1)[/tex]
For x = 1:
[tex]y = 3 ^ 1 = 3[/tex]
We have the ordered pair:
[tex](x, y): (1, 3)[/tex]
For x = 2:
[tex]y = 3 ^ 2 = 9[/tex]
We have the ordered pair:
[tex](x, y): (2, 9)[/tex]
For x = 3:
[tex]y = 3 ^ 3 = 27[/tex]
We have the ordered pair:
[tex](x, y): (3, 27)[/tex]
Answer:
The set of ordered pairs that form an exponential function is:
[tex](0, 1), (1, 3), (2, 9), (3, 27)[/tex]
Answer:
D
Step-by-step explanation:
What is the area of a regular hexagon with a side length of 12 cm
Mind helping someone out?
I've kinda been stuck on this problem and it's my last math problem for the day.
multiply and simplify. 5x^2 / y^3 * 4y^2 / 10x
Given v=(6,3) and w=(1,-2), what is the result of v-w
The result of v - w is (5, 5).
Explanation:To find the result of v - w, we need to subtract the corresponding components of the two vectors. Given v = (6, 3) and w = (1, -2), we subtract their x-components and their y-components separately.
v - w = (6 - 1, 3 - (-2))
Therefore, v - w = (5, 5).
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Find the area of the following rectangle in square feet. 44 ft 2 11 ft 2 14.7 ft 2 132 ft 2
Answer:
132
Step-by-step explanation:
The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form? Show your work.
8 square units
20 square units
24 square units
28 square units
Answer:
the answer is d:)
Step-by-step explanation:
i took the quiz on edge and got 100:D
I WILL MARK BRAINLIEST TO A CORRECT AND EXPLAINED ANSWER!!!!
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
A. 4.54 units
B. 5.00 units
C. 5.83 units
D. 34.00 units
Answer:
Option C.
Step-by-step explanation:
Coordinates of the points C and D are (-4, 3) and (1, 0)
We have to find the distance CD.
Distance CD = [tex]\sqrt{(x-x')^{2}+(y-y')^{2}}[/tex]
CD = [tex]\sqrt{(1+4)^{2}+(0-3)^{2}}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
= 5.83 units
Therefore, Option C. distance CD = 5.83 units is the answer.
please help asap 50 pts
Your answer should be C.
[tex]The\; vertex\; is\; at\; 19,361\; so\; your\; answer\;is\;c![/tex]
what is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)
Answer:
[tex](30\sqrt{3}-21\sqrt{6})[/tex]
Step-by-step explanation:
We have to find the product of the expressions.
[tex]3\sqrt{2}(5\sqrt{6}-7\sqrt{3})\\[/tex]
= [tex]3\sqrt{2}\times 5\sqrt{6}-7\sqrt{3}\times 3\sqrt{2}[/tex] ( By distributive rule)
= [tex]3\times 5(\sqrt{2})(\sqrt{6})-7\times 3(\sqrt{3})(\sqrt{2})[/tex]
= [tex]15\sqrt{12}-21\sqrt{6}[/tex]
= [tex]15\sqrt{4\times 3}-21\sqrt{6}[/tex]
= [tex]30\sqrt{3}-21\sqrt{6}[/tex]
= [tex](30\sqrt{3}-21\sqrt{6})[/tex]
Am I correct in thinking that the answer to this derivative problem is B?
dy/dx = y/x^2
dy/y = dx/x^2
ln y * ln c = -1/x
cy = e^(-1/x)
y = ce^(-1/x)
The base of a triangle is 15 centimeters and its height is 6 centimeters. What is the area of the triangle?
a.21 cm2
b.45 cm2
c.90 cm2
d.180 cm2 Submit
Quick need the answer!
Suppose that there were a strong correlation between the variables n and p. Which of these is a true statement?
A. n may cause p.
B. p must cause n.
C. n must cause p.
D. n must not cause p.
Write the expression 5x+4x^2(2x+7)-6x^2-9x as a polynomial in standard form
Answer:
8x^3 + 22x^2 - 4x
Step-by-step explanation:
5x+4x^2(2x+7)-6x^2-9x
Open the bracket
5x + 8x^3 + 28x^2 - 6x^2 - 9x
= 8x^3 + 28x^2 - 6x^2 - 9x + 5x
= 8x^3 + 22x^2 - 4x
In standard form, the polynomial 5x+4x^2(2x+7)-6x^2-9x is 8x^3 + 22x^2 - 4x
New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 inches tall. the scale of the model to the actual statue is 1:232. what is the height of the actual statue to the nearest foot?
using his telescope, Tommy watches a bald eagle as it sits on the top of a cliff. the telescope is positioned so that the line of sight to the eagle forms a 38 degree angle of elevation. the telescope sits 1.3 m above the ground and the base of the telescope is 116 m away from the base of the cliff. to the nearest tenth of a meter, how high above the ground is the eagle?
A group of 12 people attend a meeting. Every pair of people shook hands with each other. How many handshakes were there?
Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally?
The answer would be
1. (582.85 - 64)/p Or D
And
2. 64.85 Or A
The expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).
What is division?
Division is a operation in mathematics which is used to divide a specific number into equal parts of specific magnitude.
Given is Daniel’s tennis team which made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64.
Assume that there are [x] players in the team.
Now, the money left after spending on food = 582.85 - 64 = 518.85
Each player, when divided equally, would receive = y = (518.85/x)
Therefore, the expression that would model the amount of money each player would receive if the money is divided equally is y = (518.85/x).
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