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faltersainse [42]
2 years ago
6

I need to find x in these two problems in the picture.

Mathematics
2 answers:
JulijaS [17]2 years ago
8 0
1st one- 1.5
2nd one- 2.25
forsale [732]2 years ago
4 0

Answer:

for the first one do 15 divided by 10 and the second one 18 divided by 8.

Step-by-step explanation:

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Round 419,825,312 to the nearest million
denis23 [38]

Answer:

6,852,780

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
What is 4z-3/z+6 when z = −3?
Ierofanga [76]
4(-3)-3/(-3)+6
-12-3/-3+6
-12+1+6
-12+7
-5
3 0
3 years ago
PLS HELP ASAP!!<br> Choose the correct answer:
Gemiola [76]
Im late do you still need the answer aa it wont send aaa
4 0
3 years ago
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).

7 0
2 years ago
Jen measured the growth of a sunflower in one week it grew 2 and 1 half in
Pie
So you basically add the amount it grew each week. So week one is 2 and 1/2, week two is 2 and 3/4 and week three is 3 and 1/4. to make things simpler, add week two and three which gets you 6inches, then add week one, to get 8 and a half inches.
8 0
3 years ago
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