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3 years ago

Which is the graph of the inequality y ≥ 2x + 3

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

It's B, remember when you have _ ( referring to =) you have straight line, but when it's just < or > you have dotted line

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Is the line x = 6-7t, y = 1+2t, z= -7t parallel to the plane 2x+y+z?

natita [175]

In the formula of the distance between a point and a plane (not any plane but a plane parallel to the original one, equation [1] ), keeping D=2, and d as d itself, we get:

D=|ax1+by1+cz1+d|√a2+b2+c2
2=∣∣1⋅0+2⋅0+(−2)⋅(−12)+d∣∣√1+4+4
|d+1|=2⋅3 => |d+1|=6First solution:
d+1=6 => d=5
→x+2y−2z+5=0Second solution:
d+1=−6 => d=−7
→x+2y−2z−7=0

3 0

3 years ago

Two functions are represented below. Which function has a domain that contains the domain of the other function as a

Nikitich [7]

Answer:

$\\ h(x) = x-2\;contains\;the\;domain\;of\;function\;f(x) = -log(x-2)-3$

Step-by-step explanation:

The domain of a function contains all possible values that it can take.

We can analyze the function:

$\\ f(x) = -log(x-2)-3$ [1]

And we can see that there are three functions in [1]:

$h(x) = x-2$ and $g(x) = -log(x) - 3$ , and

$\\ f(x) = g(h(x))$ or $\\ f(x) = -log(x-2)-3$ .

This operation is called function composition.

For every x, function h(x) can take any value, so the domain (all possible values this function can take) is $\\ -\infty\;to\;\infty$ (all real numbers).

However, function g(x) is restricted to positive values only, since log function is not defined for negative numbers and 0.

Therefore, domain for f(x) are restricted to those ones that comply with the above restriction (x > 0). So, for

$\\ f(x) = -log(x-2) - 3$

Possible values are those which:

$\\ x - 2 > 0$ or $\\ x > 2$

In words, the domain of f(x) are all values greater than 2 (but not equal to 2) or all positive real values greater than 2.

Then, the function f(x) has a domain that is a subset of function h(x), that is, in function h(x) = x - 2, x can takes any possible value from -(infinity) to infinity, whereas function f(x) can only takes those values greater than two (but not equal 2) to infinity, which makes the domain of f(x) a subset of the possible values of function h(x).

8 0

3 years ago

An actor is rehearsing his lines in two scenes. He has 12 lines in scene 1, and 16 lines in scene 2. There are 24 lines total in

Lelu [443]

Scene two because he has more than half of the lines

8 0

2 years ago

Find the value of x. Justify your answer.

Anna007 [38]

Answer:

x = 8

Step-by-step explanation:

Because the figure in the circle is a square, which has the property of possessing equal sides.

Therefore, the value of x is equal to 0.

5 0

2 years ago

Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain

DerKrebs [107]

Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.

Hope this helps!

4 0

3 years ago