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2 years ago

Please help me graph the points with this please and thank you

Mathematics

1 answer:

ivann1987 [24]2 years ago

3 0

Answer:
Hope this helps <3

Step-by-step explanation:

(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)

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A closed box with a square base is to have a volume of 85. 75 cm^3. the material for the top and bottom of the box costs $3.00

tiny-mole [99]

We can create two equations here:

(1) Volume = area of square * height of box

85.75 = s^2 h

(2) Cost = 3 * area of square + 1.5 * area of side box

C = 3 s^2 + 1.5 s h

From (1), we get:

h = 85.75 / s^2

Combining this with (2):

C = 3 s^2 + 1.5 s (85.75 / s^2)

C = 3 s^2 + 128.625 s-

Taking the 1st derivative and equating dC/ds = 0:

dC/ds = 6s – 128.625 / s^2 = 0

Multiply all by s^2:

6s^3 – 128.625 = 0

6s^3 = 128.625

s = 2.78 cm

So h is:

h = 85.75 / s^2 = 85.75 / (2.78)^2

h = 11.10 cm

So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm

The total cost now is:

C = 3 (2.78)^2 + 1.5 (2.78) (11.10)

C = $69.47

8 0

2 years ago

What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5?

Dennis_Churaev [7]

Roots of the polynomial $x^3-5x+5=2x^2-5$ are $x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2$

Step-by-step explanation:

We need to find roots of the polynomial equation: $x^3-5x+5=2x^2-5$

Solving the polynomial to find roots:

$x^3-5x+5=2x^2-5\\Rearranging:\\x^3-5x+5-2x^2+5=0\\x^3-2x^2-5x+10=0$

Finding factors by grouping:

$(x^3-2x^2)(-5x+10)=0\\Finding\,\,common\,\,terms:\\x^2(x-2)-5(x-2)=0\\(x^2-5)(x-2)=0\\x^2-5=0\,\,and\,\,x-2=0\\x^2=5\,\,and\,\,x=2\\x=\pm \sqrt{5}\,\,and\,\,x=2$

So, roots of the polynomial $x^3-5x+5=2x^2-5$ are $x=\sqrt{5},x=-\sqrt{5}\,\,and\,\,x=2$

Keywords: Roots of Polynomial

Learn more about Roots of Polynomial at:

#learnwithBrainly

8 0

2 years ago

A movie fanatic has amassed a giant collection of home movies, some on DVD and others in the older VHS cassette mode. If the fan

frosja888 [35]

Answer:

984

Step-by-step explanation:

DVDs comprises 31.3% of total. And we also know that there are 308 DVD. Thus, we can say:

308 is 31.3% of total

We can let total be x, thus we can write an equation as:

308 = 0.313x

Solving for x:

$308 = 0.313x\\x=\frac{308}{0.313}\\x=984.02$

We can round and say there are 984 total movies

4 0

2 years ago

I don’t understand what this question is asking for

Elden [556K]

Answer:

(d) m∠AEB = m∠ADB

Step-by-step explanation:

The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.

<h3>applicable relations</h3>

Several relations are involved here.

The measures of the arcs of a circle total 360°
A diameter cuts a circle into two congruent semicircles
The measure of an inscribed angle is half the measure of the arc it intercepts

<h3>application</h3>

In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)

If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.

The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.

m∠AEB = m∠ADB

_____

<em>Additional comment</em>

Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.

7 0

1 year ago

What is the equation of the line slope 4.2 y-intercept (0,34)

Y_Kistochka [10]

slope intercept form

y = mx+b

y = 4.2x+34

7 0

2 years ago