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3 years ago

AMELIA IS SHARING 4 SLICES OF CHEESE WITH 5 FRIENDS. HOW MUCH CHEESE WILL EACH PERSON GET? EXPLAIN HOW YOU DECIDED.

Mathematics

1 answer:

Degger [83]3 years ago

3 0

Answer:

well this is very easy all you have to do is divide 4 by 5 and you will get 4 with a remander of 1 or 0.8 or if this was a real life scenario then you could just take that extra slice and cut it in five ways. hope this helped! can i get brainiest plzz? im only ONE away from getting up to expert!

Step-by-step explanation:

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Besties pls help did I get these right?

lana66690 [7]

Answer:

Yep!

Step-by-step explanation:

I'm not 100% sure if your first one is correct, but I know the second one is! Great job :)

8 0

3 years ago

Round to the nearest hundred thousand 992,449

Lesechka [4]

The hundred thousand column is the 6th column so you look at the 5th number and round
9 rounds up to 0
but this also changes the 900000 to 1000000
so 992449 = 1000000 to nearest hundred thousand

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3 years ago

Read 2 more answers

3. The curve C with equation y=f(x) is such that, dy/dx = 3x^2 + 4x +k

Andreas93 [3]

a. Given that y = f(x) and f(0) = -2, by the fundamental theorem of calculus we have

$\displaystyle \frac{dy}{dx} = 3x^2 + 4x + k \implies y = f(0) + \int_0^x (3t^2+4t+k) \, dt$

Evaluate the integral to solve for y :

$\displaystyle y = -2 + \int_0^x (3t^2+4t+k) \, dt$

$\displaystyle y = -2 + (t^3+2t^2+kt)\bigg|_0^x$

$\displaystyle y = x^3+2x^2+kx - 2$

Use the other known value, f(2) = 18, to solve for k :

$18 = 2^3 + 2\times2^2+2k - 2 \implies \boxed{k = 2}$

Then the curve C has equation

$\boxed{y = x^3 + 2x^2 + 2x - 2}$

b. Any tangent to the curve C at a point (a, f(a)) has slope equal to the derivative of y at that point:

$\dfrac{dy}{dx}\bigg|_{x=a} = 3a^2 + 4a + 2$

The slope of the given tangent line $y=x-2$ is 1. Solve for a :

$3a^2 + 4a + 2 = 1 \implies 3a^2 + 4a + 1 = (3a+1)(a+1)=0 \implies a = -\dfrac13 \text{ or }a = -1$

so we know there exists a tangent to C with slope 1. When x = -1/3, we have y = f(-1/3) = -67/27; when x = -1, we have y = f(-1) = -3. This means the tangent line must meet C at either (-1/3, -67/27) or (-1, -3).

Decide which of these points is correct:

$x - 2 = x^3 + 2x^2 + 2x - 2 \implies x^3 + 2x^2 + x = x(x+1)^2=0 \implies x=0 \text{ or } x = -1$

So, the point of contact between the tangent line and C is (-1, -3).

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2 years ago

下100<br> +1<br> Can yhu show work

Hitman42 [59]

Answer:

101

Step-by-step explanation:

101

+ 1

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101

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3 years ago

Is the following conditional true?

kakasveta [241]

Answer:

Yes

Step-by-step explanation:

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3 years ago