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The function f is defined for all real values of x as f(x) = c + 8x - x^2, where c is a constant. Given that the range of f is f(x) <= 19, find the value of c. Given instead that ff(2) = 8, find the possible values of c.

We know -x^2 has a maximum point of 0 at x=0, and -x^2 dominates the behaviour of f. We complete the square on this eqn, so we have f(x) = -(x - 4)^2 + 16 + c. We note that g(x) = -(x - 4)^2 has a maximum of...
SK
Answered by Sanmay K. • Maths tutor
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State the 3 different types of plate boundaries, and describe their movement.

Convergent - Where two plates collide together, and the crust is destroyed.2) Divergent - Where two plates move away from each other, and new crust is formed.3) Transform - Where the two plates slide past ea...
Answered by • Geology tutor
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Describe the processes involved in the absorption of the products of starch digestion

glucose moves in with sodium into epithelial cellvia carrier/channel protein sodium removed from epithelial cell by active transport/sodium-potassium pump into blood therefore maintaining low conc of sodium ...
MB
Answered by Mo B. • Biology tutor
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I think this poem is about lost love, but how do I find the evidence to put in my answer?

Let's read through the poem line by line, and highlight the words that have connotations of love or of loss. You can use these singular words or phrases to create quick embedded quotes in your essay as evide...
EY
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How do i know what the major and minor products of the reaction between Hydrogen Bromide and Propene would be?

We would use something called Markovniov's rule. Essentially, the H+ ion (or proton) that is attracted to the electron dense double bond of the alkene, is added to the carbon that has the most Hydrogen atoms...
DQ
Answered by David Q. • Chemistry tutor
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