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2 years ago

Does the point (8, 8) satisfy the equation y = x?

Mathematics

1 answer:

nika2105 [10]2 years ago

7 0

Answer:

Yes.

Step-by-step explanation:

Substitute the values for the variables in the equation.

y = x

(8) = (8)

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There are 2 blue, 6 yellow, 10 red, 3 green, 5 orange, and 4 purple marbles in a jar. What is the probability that a red marble

seraphim [82]

Answer:

1/3

Step-by-step explanation:

sum of numbers = 30 marbles

probability = 10/30 or simplified 1/3

6 0

2 years ago

For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?

Gre4nikov [31]

The equation is separable, so solving it is trivial:

$\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt$

Integrating both sides gives

$\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}$

Given $y(0)=24$ and $y(1)=18$ , we find

$24=C$

$18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34$

so the answer is E.

8 0

3 years ago

Read 2 more answers

to mail a cardboard box, you measure its size and mass. It is 55cm long , 25cm wide and 20 cm high. The mass of the box is 4kg.

ch4aika [34]

Answer:

Density is usually expressed as grams per cubic centimeter.

Volume = 55 * 25 * 20 = 27,500 cc

Density = Mass / Volume = 4,000 grams / 27,500 cc

= 0.1454545455 grams/cc

which is an extremely low density

Step-by-step explanation:

8 0

3 years ago

(1,1),(-1,0)<br> 2x+y=3<br> X-2y=-1<br> Each pair of a solution of the system of linear equations

kotykmax [81]

Is there a photo with this

7 0

3 years ago

Please help with this I am completely stuck on it

vaieri [72.5K]

Answer:

$f(x)=\sqrt[3]{x-4} , g(x)=6x^{2}\textrm{ or }f(x)=\sqrt[3]{x},g(x)=6x^{2} -4$

Step-by-step explanation:

Given:

The function, $H(x)=\sqrt[3]{6x^{2}-4}$

Solution 1:

Let $f(x)=\sqrt[3]{x}$

If $f(g(x))=H(x)=\sqrt[3]{6x^{2}-4}$ , then,

$\sqrt[3]{g(x)} =\sqrt[3]{6x^{2}-4}\\g(x)=6x^{2}-4$

Solution 2:

Let $f(x)=\sqrt[3]{x-4}$ . Then,

$f(g(x))=H(x)=\sqrt[3]{6x^{2}-4}\\\sqrt[3]{g(x)-4}=\sqrt[3]{6x^{2}-4} \\g(x)-4=6x^{2}-4\\g(x)=6x^{2}$

Similarly, there can be many solutions.

7 0

3 years ago