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Tag Archives: function

The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 10 + 15.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 0 through 3 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Given two functions: h(t)=-16t^2+48t+12 and g(t)=10+15.2tA] The table of both functions from 0 to 3 will be:h(t)=-16t^2+48t+12t           0           1            2          3h(t)       12         44   …

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The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range but not the domain of the transformed function is the same as that of the parent function. The domain but not the range of the transformed function is the same as that of the parent function.

Answer: D. The domain but not the range of the transformed function is the same as that of the parent function. Step-by-step explanation: We are given, The function is reflected across x-axis, which gives . And then the function is translated to the right by 6 units, which gives . …

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The function h(x) = x2 + 14x + 41 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points) Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points) Part C: Determine the axis of symmetry for h(x). (2 points)

Answered by answersmine AT 22/10/2019 – 03:50 AM Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;x^2+14x+41=0x^2+14x=-41but;c=(b/2)^2and b=14hence;c=(14/2)^2=49substituting the value of c in the expression we get:x^2+14x+49=-41+49x^2+14x+49=8(x+7)^2=8this can be written in vertex form;h(x)=a(x-h)^2+kwhere:(h,k) is the vertex;thus(x+7)^2=8h(x)=(x+7)^2-8hence the vertex will be at the point:(-7,-8) Post your answer

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Determine whether the function is linear or quadratic. identify the quadratic, linear, and constant terms y= (x-5)(5x+4)-5x^2

Linear means that it is 1st degree, means it has x¹ basically the highest number is 1 for the power of the placeholder quadratic means it is 2nd degree, means it has x² in it so expand and simlfiy(x-5)(5x+4)-5x²=5x²-21x-20-5x=-21x-20 so y=-21x¹-20it’s linear because the squared terms cancel each other out

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The number of hours required to do a painting job is represented by the function f(x)=2/x, where f(x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job? a.{1.0, 0.9, 0.8, 0.7 0.2} b.{0.9, 0.8, 0.6, 0.4, 0.1} c.{0.9, 0.84, 0.73, 0.59, 0.2} d.{0.5. 0.2, 0.14, 0.125, 0.11}

the numbers given in the brackets thing the {4,10,14,16,18} is the domain, the number of people possible, substitute them to find the range f(4)=2/4=1/2=0.5f(10)=2/10=0.2f(14)=2/14=1/7=0.142f(16)=2/16=1/8=0.125f(18)=2/18=1/9=0.1111 so the time would be {0.5,0.2,0.14,0.125,0.11}answer is D

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Which polynomial function has x intercepts –1, 0, and 2 and passes through the point (1, –6)? f(x) = x3 – x2 – 2x f(x) = 3×3 – 3×2 – 6x f(x) = x3 + x2 – 2x f(x) = 3×3 + 3×2 – 6x

Which polynomial function has x intercepts –1, 0, and 2 and passes through the point (1, –6)? f(x) = x3 – x2 – 2x f(x) = 3×3 – 3×2 – 6x f(x) = x3 + x2 – 2x f(x) = 3×3 + 3×2 – 6x

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What is the range of the function f(x) = – 1/3 |x − 1| − 2? all real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2

What is the range of the function f(x) = – 1/3 |x − 1| − 2? all real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2

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Photo necessities produces camera cases. they have found that the cost c(x) of making x camera cases is a quadratic function in terms of x. a company discover that it cost 27 dollars to produce 2 camera cases, 105 dollars to produce 4 camera cases, and 675 dollars to produce 10 camera cases. find the total cost of producing 5 camera cases

We will usec(x)=ax²+bx+csub the points given when x=2, c(x)=2727=a(2)²+b(2)+c or27=4a+2b+c when x=4, c(x)=105105=a(4)²+b(4)+c105=16a+4b+c when x=10, c(x)=675675=a(10)²+b(10)+c675=100a+10b+c so we gots27=4a+2b+c105=16a+4b+c675=100a+10b+c eliminate c’s from everybodymultiply first equation by -1 and add to 2nd and 3rd equationthe resulting 2nd and 3rd equations are shown below78=12a+2b648=96a+8bmultiply top equation by -4 and add to bottom …

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Which statement correctly describes the slope of the linear function that is represented by the data in the table? Table (It may move to the left a bit when it is actually posted, sorry. It shouldn’t be hard to read though) x y 8 -8 8 -4 8 0 8 4 8 8 a.The slope is positive. b.The slope is negative. c.The slope is zero. d.There is no slope.

Answer: d. There is no slope. Step-by-step explanation: We know that slope = For the given table, since there is no change in x coordinate . Thus the change in x coordinate is 0. Therefore, slope= which means the slope does not exist. Hence, (d) is the right option. There …

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In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the …

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SPENT 50 POINTS ON THIS QUESTION PLEASE HELP In the table, x represents minutes, and y represents the altitude of an airplane. Table x y 15 22,500 20 20,000 25 17,500 30 15,000 Which statement is correct about the slope of the linear function that the table represents? a.The slope is positive because as the minutes decrease, the altitude increases. b.The slope is positive because as the minutes increase, the altitude increases. c.The slope is negative because as the minutes decrease, the altitude decreases. d.The slope is negative because as the minutes increase, the altitude decreases.

Slope=changey/changexwell, the slope will be positive when the minutes (x) are increasing and the altitude (y) is also increasingthe slope will be negative when the minutes (x) are increasing and the altitude (y) is decreasing we see that x increaseand y decreasesso the slope is negative because as minutes incrases, …

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From the table below, determine whether the data shows an exponential function. Explain why or why not. (x) -5, -4, -3, -2 (y) 0.5, 2, 8, 32 A) Yes; the domain values are at regular intervals and the range values have a common factor 8. B) Yes; the domain values are at regular intervals and the range values have a common factor 4. C) No; the domain values are not at regular intervals. D) No; the domain values are at regular intervals and the range values have a common factor 4. Please help, and please give me an explanation on the answer you choose because I need to make corrections. Please.

Answer: Option B-  Yes; the domain values are at regular intervals and the range values have a common factor 4. Step-by-step explanation: Given : The data (x) -5,   -4,  -3,   -2 (y) 0.5,  2,   8,   32 To find : The data shows an exponential function or …

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A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure. (a) Write the area of the enclosed region as a function of x.

Answered by answersmine AT 22/10/2019 – 04:09 AM Given that the length of the fence is 100=4x+3y, to express the area of the garden as a function of x we proceed as follows;4x+3y=100making y the subject we get:3y=100-4xy=1/3(100-4x)therefore the width of the garden is:y=1/3(100-4x)hence the area of the fence garden …

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The function y = 4x is an exponential growth function. The graph of the function increases as x increases. The variable x is a(n) coefficient term exponent factor

The function y = 4x is an exponential growth function. The graph of the function increases as x increases. The variable x is a(n) coefficient term exponent factor

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In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply. y = x y =x/0 y = 0x y = 0/x

In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply. y = x y =x/0 y = 0x y = 0/x

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Which is not a function of the cytoskeleton? A.anchors organelles B.gives support to cells C.attaches bones D.allows cells to move

The right option is; C.attaches bones Cytoskeleton is a network of filaments and tubules that is located in the cytoplasm of eukaryotic cells (cells that has a nucleus). The cytoskeleton is composed of filamentous proteins, and it helps cells to maintain their shape and internal organization. It also gives mechanical …

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The function that represents the average cost per person, including transportation, to a museum is y= 25+8x/x Which statement is true about the graph of the function? The horizontal asymptote y = 0 means the cost approaches zero as the number of people increases. The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people increases. The vertical asymptote x = 0 means the cost approaches zero as the number of people increases. The vertical asymptote x = 8 means the cost approaches zero as the number of people increases.

Answered by answersmine AT 22/10/2019 – 04:12 AM The statement that is true about the graph of the function from the equation y = 25 + 8x/x which represents the average cost per person is “The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people …

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A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation? y = 5/x y = x/5 y = x + 5 y = x – 5

A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation? y = 5/x y = x/5 y = x + 5 y …

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What is the function of the Golgi apparatus? A.It makes protein, lipid, and carbohydrate molecules. B.It makes ATP by breaking down food molecules. C.It stores molecules made in the ER. D.It packages and ships molecules made in the ER. NEED HELP FAST PLZ AND THX

What is the function of the Golgi apparatus? A.It makes protein, lipid, and carbohydrate molecules. B.It makes ATP by breaking down food molecules. C.It stores molecules made in the ER. D.It packages and ships molecules made in the ER. NEED HELP FAST PLZ AND THX

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When is the BEST time to be tested for HIV? A.immediately after possible exposure B.two to three weeks after possible exposure C.approximately eight weeks after possible exposure to the virus D.three months after possible exposureWhich of the following is a function of public health policy?A.to increase the transmission of diseasesB.to control outbreaks of diseasesC.to educate the public to make risky health decisionsD.to provide vaccinations against diseases

The answer to your first question is D. Three months. The reason why is it takes at least 3 months to have detectible HIV antibodies. In rare cases, it may take up to 6-12 months. The second question I’m not 100% positive on but I believe the answer would be B. 

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