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2 years ago

Given f(x) = x4 – 3x3 + x – 3.

Mathematics

2 answers:

Andreas93 [3]2 years ago

5 0

Answer:

Step-by-step explanation:

Anastasy [175]2 years ago

4 0

Step-by-step explanation:

hope this will help you.....

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

2 years ago

Read 2 more answers

Korina used 9.3 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest i

julsineya [31]

9514 1404 393

Answer:

3.72 pints

Step-by-step explanation:

The remaining 2/5 of the paint was white. In pints, that is ...

(2/5)(9.3 pints) = 3.72 pints . . . . white paint used

4 0

3 years ago

PLEASE HELP THANKS SO MUCH!

Zolol [24]

Surface area = sum of 2 triangles + sum of the 3 rectangles

= 2 * 84 + 18*24 + 18*25 + 18*7 = 1176 ft^2

volume = 1/2*7 *24 * 18 = 1512 ft^3
surface area to volume = 1176:1512 = 0.78 which is less than 1.
so the company wil manufacture it.

5 0

3 years ago

Q.16 please<br> With steps

blsea [12.9K]

The equations

$2x^2+9x-5=0$

and

$2\left(t-\dfrac12\right)^2+9\left(t-\dfrac12\right)-5=0$

are really the same, we're just setting $x=t-\dfrac12$ , or $t=x+\dfrac12$ .

$2x^2+9x-5=(2x-1)(x+5)=0\implies x=\dfrac12,x=-5$

So we get

$t=\dfrac12+\dfrac12=1,t=-5+\dfrac12=-\dfrac92$

8 0

3 years ago

What is the area of the figure:

Luba_88 [7]

For this case we have that the area of the triangle is given by:

$A = \frac {b * h} {2}$

Where:

b: It's the base

h: It's the height

We have to:

$cos (45) = \frac {b} {24}\\b = 24 * cos (45)\\b = \frac {\sqrt {2}} {2} * 24\\b = 12 \sqrt {2}$

The atura will be given by:

$sin (45) = \frac {h} {24}\\h = 24 * sin (45)\\h = \frac {\sqrt {2}} {2} * 24\\h = 12 \sqrt {2}$

So, the area is:

$A = \frac {12 \sqrt {2} * 12 \sqrt {2}} {2}\\A=\frac{(12\sqrt{2})^2}{2}\\A = 144$

Answer:

144

6 0

3 years ago

Read 2 more answers