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Answer:

d .  37/12 unit^2.

Step-by-step explanation:

d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:

x^3 = x^2 + 2x

x^3 - x^2 - 2x) = 0

x(x^2 - x - 2) = 0

x(x - 2)(x + 1) = 0

So they intersect at x = -1, x = 0 and x = 2.

Take the area from x = 0 to x = 2)

           2                        2

Area =  ∫ x^2 + 2x dx -   ∫  x^3 dx

            0                       0

   2

=  [ x^3/3 + x^2 ) - x^4/4]

   0

=   ((8/3 + 4) - 0) - (16/4 - 0) -

=   8/3 unit^2

Now calculate the area  from x = -1 to x = 0.

   0

=    (x^3/3 + x^2 ) - x^4/4 )

   -1

=   (( 0 +1/3 - 1) ) - (0 - 1/4)

=  5/12 unit^2

So the total area of the region =  8/3 + 5/12 = 37/12 unit^2.

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

Answer:

8+-9=-1

Step-by-step explanation:

evaluated

Answer:

8+(-9)=8-9=-1

Step-by-step explanation:

to get -9 you multiply -×+ which is -

The number of fiction books are 7 and number of non fiction books are 3 respectively

let

number of fiction books = x

number of non fiction books = y

x = 4y - 5

Total books = z

x = 70% of z

y = 30% of z

x + y = z

4y - 5 + 30%(z) = z

4y - 5 + 0.3z = z

4y - 5 = z - 0.3z

4y - 5 = 0.7x

4y - 5 = 0.7z

4(0.3z) - 5 = 0.7z

1.2z - 5 = 0.7z

-5 = 0.7z - 1.2z

-5 = - 0.5z

z = -5/-0.5

z = 10

Therefore,

the number of non fiction = 30% of z

= 0.3 × 10

= 3

number of fiction = 70% of z

= 0.7 × 10

= 7

Learn more about equation:

https://brainly.com/question/16450098

Answer:

the answer is m > 15.

hope this helps!

Answer:

Lower bound: 78.5

Upper bound: 79.5

Step-by-step explanation:

Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.

If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2

Answer:

24.75 is answer

Step-by-step explanation:

Answer:

That was a good start, but we need the rest of the question.

Step-by-step explanation:

[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]

Answer:

The answer is C. 14.704

Step-by-step explanation: I just took the test

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

Step-by-step explanation:

Answer:

I really need help with this question.*

Answer:

There is no question

Step-by-step explanation:

Hope you have a great day!!

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]

[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\mathrm{Plug\:the\:points}[/tex]

[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]

[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]

[tex]\sqrt{11^2+0}[/tex]

[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]

[tex]=11[/tex]

F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.

Answer:

3

Step-by-step explanation:

18x + 15 -8x = 8x + 45 -8x

10x + 15 = 45

10x + 15 - 15 = 45 - 15

10x = 30

10x/10 = 30/10

× = 3

Answer:

There's not enough information to answer the question.

Step-by-step explanation:

The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.

Answer:

55

Step-by-step explanation:

180=35+90+m∠3

Answer:

Austin: [tex]25[/tex]

Dante: [tex]64[/tex]

Yoko: [tex]16[/tex]

Step-by-step explanation:

Total: [tex]105[/tex]

Austin: [tex]y+9[/tex]

Dante: [tex]4y[/tex]

Yoko: [tex]y[/tex]

Equation:

[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]

Invisible Steps:

Combine like terms: [tex]y+y+4y=6y[/tex]

Subtract 9 from each side: [tex]6y+9-9=6y[/tex]

                                            [tex]105-9=96[/tex]

Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]

                                           [tex]96[/tex] ÷ [tex]6 = 16[/tex]

Answer:

16 game pieces that are  red

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

Because distributive property formula is a(b+c) = ab + ac

meaning that w(6+5) = 6w + 5w

Answer:

C

Step-by-step explanation:

the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)

Answer:

what... how

Step-by-step explanation:

Answer:

q = 8

Step-by-step explanation:

7q - 5q = 16

Then you can subtract the 7q by 5q which will get you 2q.

So now it is 2q = 16, you can simply divide both sides by 2 to get 8

hope it helped!

Hello, I hope you are having a nice day.

7q-5q=16

Combine Like terms:

2q=16

Divide both sides by 2 in order to isolate q:

q=8.

So this is the answer. Hope it helps you. :)

Ask me if you have any queries.

~An emotional teenager who helps other people on Brainly

[tex]MagicalNature[/tex]

Good luck.

Answer:

3 over5 multiplied by 320 equals 192

Answer:

Merry xmas bro

Step-by-step explanation:

fav nintendo game is the first mario

Answer: where is the picture?

Answer:

4 different answers

Step-by-step explanation:

1.

[(24/3) + (5*2^2)] = 28

2.

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

3.

[(24/3 + 5)*2^2] = 52

4.

[(3 + 5*2^2)/24] = 23/24

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.

Answer:

f(x)= 0.90(0.59x)

Step-by-step explanation:

The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90

Also we need to know that 0.59x means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59x)

Answer:

Step-by-step explanation:

Sum of first n terms = 243

[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]