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3 years ago

What is the end behavior of the graph of the polynomial function y = 10x9 – 4x?

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

10x^9 - 4x? As x-> - infinity then y -> infinity and as x-> infinity then y -> infinity.

Step-by-step explanation:

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The diameter, D, of a sphere is 19.2 cm. Calculate the sphere's volume, V.

serg [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Calculate the simple interest an 6000 for 3 years at 12%

timurjin [86]

Answer:

$2160

Step-by-step explanation:

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6000×0.12×3

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4 years ago

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Use the parabola tool to graph the quadratic function f(x)=−5x2−2.

alexira [117]

$\text{Consider the quadratic function}\\
\\
f(x)=-5x^2-2\\
\\
\text{For a quadratic equation, }f(x)=ax^2+bx+c, \text{ we know that the x-coordinate}\\
\text{of the vertex (h,k) is given by}\\
\\
h=\frac{-b}{2a}\\
\\
\text{on comparing the given equation with standard equation, we have}$

$a=-5, b=0, c=-2\\
\\
\text{so the x-coordinate of the vertex is }\\
\\
h=-\frac{b}{2a}=-\frac{0}{2(-5)}=0\\
\\
\text{so plug this vlaue of the h in the given function to get the y-coordinate}\\
\text{of the vertex. so}\\
\\
f(x)=-5(0)^2-2=0-2=-2\\
\\
\text{hence the vertex of the parabola is: }(h,k)=(0,\ -2)\\
\\
\text{A second point on the graph can be found by putting x=1, so }\\
\\
f(1)=-5(1)^2-2=-5-2=-7\\
\\
\text{so one other point on the parabola is }(1,-7)$

The grpah of the quadratic function is shown below:

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4 years ago

Manufactured 50.88 pair. Customer paid 90.10 and customer price included 6.25% sales taxes . What is the mark up?

-Dominant- [34]

Answer:

The markup (in percentage) is 66.67%

The markup (in dollars) is $33.92

Step-by-step explanation:

First, we will find the sales price of the product (excluding sales tax).

Let sales price be "x", so we can say:

x increased by 6.25% is 90.10

Note: 6.25/100 = 0.0625

Thus, we can write an equation and solve for x now:

$x + 0.0625x = 90.10\\1.0625x=90.10\\x=\frac{90.10}{1.0625}\\x=84.8$

The markup is a percentage of the cost.

The markup is the difference in cost and sales price, divided by cost. Then we multiply by 100 to get percentage. So:

MarkUp = $\frac{84.8-50.88}{50.88}*100=66.67$

The markup (in percentage) is 66.67%

In dollars, it will be $33.92

3 0

4 years ago

An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th

seraphim [82]

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

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4 years ago