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3 years ago

Simplify: (4x2 + 21xy – 7y2) + (10x2 + 11y2 – 20). HELP PLEASEEE

1 answer:

5 0

Ok so the answer is 8 + 21xy + 8y

Explanation:
U multiply and calculate then remove the opposites rewrite and calculate then remove the parentheses then u proceed to collect like terms

Hope this helps !!

Happy Christmas <33

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

a ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. the height of

STatiana [176]

Factoring, you have
h(t) = -16(t^2 -2 -8) = -16(t -4)(t +2)

The ball hits the ground when h(t) = 0, so
0 = -16(t -4)(t +2)
t = 4 or -2

The positive solution is the one of interest.
It will take 4 seconds for the ball to hit the ground.

6 0

3 years ago

Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

erik [133]

<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

$2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

For calculating the zeros,

$\Rightarrow f(x)=0$

$\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0$

$\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0$

$\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0$

$\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0$

$\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0$

$\Rightarrow (x-2)(x^2-1)(2x-3)=0$

$\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0$

$\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0$

$\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}$

From all the 4 roots, it can be obtained that 2 is the greatest zero.

7 0

2 years ago

A recipe for banana oat muffins calls for 3/4 cups of oats. You need to triple the recipe to make enough for your whole family.

Marta_Voda [28]

Answer: 2 and 1/4 cups of oats (9/4 cups of oats)

Step-by-step explanation:

We know that, for the recipe, we need 3/4 cups of oats.

Now, you want to triple the recipe (then you need to use 3 times more ingredients).

This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:

3*(3/4 cups) = 9/4 cups

This means that you need to use 9/4 cups of oats.

And we could also write this as:

9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.

3 0

3 years ago

in geotown, there are 210 own a tablet. This is at least 4/5 of all teenagers that live in geotown. What is the maximum number o

sergiy2304 [10]

210 = 4/5 (This means that 4 out of five people (210 people) are a teenager)

Then you divide 210 by the numerator to get 1/5 people:
210 / 4 = 52.5

Then you can multiply the 1/5 people (52.5) by 5 to get 5/5:
52.5 * 5 = 262.5 (rounded to 262)

Thus the maximum amount of teenagers in Geotown is 262.

Hope this helps! :)

4 0

3 years ago