What is the constant term in the polynomial expression -7x + 32x + 240, and what does it represent?

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

7 0

240, and it is the term of the expression that does not change as x changes.

faltersainse [42]2 years ago

5 0

The constant is 140. It represents the revenue generated with no increase in price; that is, x = 0. By selling 70 hot dogs at $2 each, the volunteers earn 70 • $2 = $140.

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when constricting parallel and perpendicular lines, how are the steps similar intersecting arcs are created and connected

Slav-nsk [51]

Answer:

Intersecting arcs are created and connected.

Copy an angle by creating arcs with a compass

8 0

2 years ago

CAN SOMEONE PLEASE HELP

Sunny_sXe [5.5K]

It is most probably 30

cause you add 24, 30, 36

then divide it by 3

that is how i learnt it

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3 years ago

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$