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3 years ago

What is the value of x?

Mathematics

2 answers:

nata0808 [166]3 years ago

6 0

Answer:

10, this isnt correct try 7

Step-by-step explanation:

____ [38]3 years ago

5 0

Answer:

Step-by-step explanation:

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Which statement best describes the association between variable X and variable Y?

kicyunya [14]

There are no choices but the association is :
Very strong negative linear association

4 0

3 years ago

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3a-2b=50, 2a+3b=100 what does a equal and what does b equal?

harina [27]

A = (350/13) and B = (400/-13)

7 0

2 years ago

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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

How do I find the difference in the simplest form?

GrogVix [38]

Answer:

Step-by-step explanation:

$\frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2$

5 0

2 years ago

Dan painted 3/4 of a wall using 1/4 of a can of paint.Select all statements that are true.

Juli2301 [7.4K]

Answer:

B, C, F

Step-by-step explanation:

3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.

A. 1/2 can will paint 3/2 walls, not 2.

B. 1 can will paint 3 walls — true

C. 5/3 cans will paint 5 walls — true

D. 2 cans will paint 6 walls, not 8.

E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.

F. 11/3 cans will paint 11 walls — true

5 0

3 years ago