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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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Write he standard form of the equation; Through: (-1,5) and (1,2)

Standard form is ax+by=c where a,b, and c are integers and a is usually positive so first find slopeget into form y=mx+b where m is slopesoslope between points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)points (-1,5) and (1,2)slope is (2-5)/(1-(-1))=-3/(1+1)=-3/2y=-3/2x+bfind bsub a point(1,2)2=-3/2(1)+b2=-3/2+b4/2=-3/2+b7/2=b y=-3/2x+7/2add 3/2 both sides3/2x+y=7/2times 2 both sides3x+2y=7 is standard …

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The Peasants’ Revolt provided a glimpse at how local governance could lead to __________. Which option correctly completes the sentence? a new form of government ruled by knights a society where power could be wrested from the nobility the decline of the power of the Church of England the elimination of the clan system

Answered by answersmine AT 22/10/2019 – 04:06 AM If my memory serves me well, the Peasants’ Revolt provided a glimpse at how local governance could lead to a society where power could be wrested from the nobility. The Peasants’ Revolt is the most serious uprising in medieval England.  An army of peasants …

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Many different types of mutations can occur within the body. Sickle cell anemia is a disease that occurs when a mutation in a base pair of the hemoglobin beta gene causes a single replacement of the amino acid glutamic acid by the amino acid valine. As a result of this mutation, the individual’s blood cells take on a sickle shape under certain conditions and form clusters that can block blood vessels and cause organ damage. Which type of mutation causes sickle cell anemia? A)silent B)missense C)insertion D)frameshift

The right option is; B)missense Missense mutation is the type of mutation that causes sickle cell anemia A missense mutation is a type of nonsynonymous substitution in which the change of a single nucleotide (base pair) influences the genetic code and results in a codon that code for a different …

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Which of the following is an example of microevolution? A caterpillar changes form into a butterfly. A population of birds slowly changes feather color from red to blue. A dinosaur species evolves over time into a bird species. A black cat has kittens with white spots.

Which of the following is an example of microevolution? A caterpillar changes form into a butterfly. A population of birds slowly changes feather color from red to blue. A dinosaur species evolves over time into a bird species. A black cat has kittens with white spots.

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Emotions, positive and negative, are a natural and healthy part life. Can you think of healthy approaches to managing emotions? (explain in paragraph form please!)

Answered by answersmine AT 22/10/2019 – 04:18 AM The emotion is an aspect of consciousness and can be characterized by a certain physical changes, brain activation, and tendencies toward action. Emotions can be positive but also negative and they are a natural and healthy art of our life. There are healthy …

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In order to prevent injury during your weight-training session, it is necessary to __________. A. do performance testing prior to setting up your workout routine, stretch before and after each workout, get the proper amount of rest and nutrition, and modify your workout as needed B. have your friend check your workout to be sure it is well-designed, exercise only three days a week, and allow for adequate rest between workouts C. never change your workout routine, stretch before and after each workout, allow time to warm up and cool down, and adjust your form as needed D. use slow bouncing movements to warm up and stretch before each workout, follow a plan that includes proper sets and repetitions, adjust your workout and form as needed, and workout every day

In order to prevent injury during your weight-training session, it is necessary to __________. A. do performance testing prior to setting up your workout routine, stretch before and after each workout, get the proper amount of rest and nutrition, and modify your workout as needed B. have your friend check …

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– How many moles of NaHCO3 can be produced from 125 mol of NaCl – How many moles Of H2O are produced when 6 mol of O2 is consumed in burning methyl alcohol, CH3OH, according to the following equation? – Solutions of iron(III) chloride, FeCl3, are used in photoengraving and to make ink. This compound can be made by the following reaction. a. How many moles of FeCl3 form from 31 mol of Cl2? b. How many moles of Fe are needed to combine with 5 mol of Cl2 by this reaction? c. If 0.62 mol of Fe is to be used by this reaction, how many moles of FeCl3 form? – Ammonia is produced synthetically by the reaction: a. Is this an exothermic or endothermic process? b. How many moles of NH3 are formed when 1 mol of N2 reacts with hydrogen? c. If 18 x 1023 molecules of H2 react with nitrogen, how many moles of NH3 are produced?

A positive cahnge of enthalpy, ΔH rxn = + 55 kJ/mol, for the forward reaction means that the reaction is endothermic, i.e. the reactants absorb energy and the products are higher in energy. Activation energy is the difference in the energy level of the reactants and the peak in the …

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