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2 years ago

The graph of the SLOPES of the red function has which color?

Mathematics

1 answer:

Aleksandr [31]2 years ago

3 0

Answer: Orange.

Step-by-step explanation:

The graph of the slopes of the red function is equal to the derivate of the red function.

First, let's analyze the red function (from left to right).

First we can see that the red function is positive, and it decreases (so we must have a negative slope here).

Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).

Then the red function keeps decreasing (so the slope is negative again).

Then the graph of the slope is:

Negative, then it increases to zero, and it decreases again.

The only graph that does this is the orange one, so the answer is orange.

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Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

EleoNora [17]

Answer:

Option A

Step-by-step explanation:

f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

See attached graph for reference

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2 years ago

You have filed your taxes more than 60 days late which means you are subject to a penalty of $135 or 100% of your unpaid tax, wh

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Answer: $135

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2 years ago

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

zvonat [6]

Answer:

$x=-2.38$

$x=-4.62$

Step-by-step explanation:

The question is $(2x+3)^2+8(2x+3)+11=0$

We let $u=2x+3$ , so the equation becomes:

$u^2+8u+11=0$

Where $a=1, b=8, c=11$

Putting it in the quadratic formula, we have:

Quadratic formula: $\frac{-b+-\sqrt{b^2-4ac} }{2a}$

Substituting we have: $\frac{-8+-\sqrt{(8)^2-4(1)(11)} }{2(1)}\\=\frac{-8+-\sqrt{20} }{2}\\=\frac{-8+-2\sqrt{5} }{2}\\=-4+\sqrt{5}, -4-\sqrt{5} }$

We let $u=2x+3$ , so x is:

$u=2x+3\\(-4+\sqrt{5})=2x+3\\x=\frac{-7+\sqrt{5}}{2}=-2.38$

and

$u=2x+3\\(-4-\sqrt{5})=2x+3\\x=\frac{-7-\sqrt{5}}{2}=-4.62$

The solutions of the equation is $x=-2.38$ (rounded to 2 decimal places), and $x=-4.62$ (rounded to 2 decimal places)

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2 years ago

Sometimes the unit price on two sizes of the same product will be the same. When this is the case, how will different kinds of d

nadezda [96]

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Different kinds of discounts will affect differently the total unit price of each size.

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2 years ago

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A team won 6 hockey matches and lost 9 matches. what per cent of the matches did the team win

Mama L [17]

Answer:

66.67%

Step-by-step explanation:

total matches = 9

matches won = 6

percentage = matches won*100/ total matches

percentage = 600/9

= 66.67%

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2 years ago

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