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kotegsom [21]
2 years ago
15

Which graph represents a linear function? (4 points)

Mathematics
1 answer:
leonid [27]2 years ago
4 0

Answer:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Step-by-step explanation:

You might be interested in
Graph the function defined by f(x) = (x+21)
Inga [223]

Answer:

A

Step-by-step explanation:

Consider the parent function y=|x|. The graph of this function is represented as red graph in attached diagram.

Now consider the function y=|x+2|.

Remind main translations of the graph of the function y=f(x):

  • y=f(x-a) - translation a units to the right;
  • y=f(x+a) - translation a units to the left;
  • y=f(x)+a - translation a units up;
  • y=f(x)-a - translation a units down.

In your case, the graph of the function y=|x+2| is translated graph of the function y=|x| 2 units to the left (blue graph). So, correct answer is option A.

5 0
2 years ago
Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?
Jobisdone [24]

Answer:

The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = \frac{- 3}{5}

- sin Ф = \frac{- 3}{5}

So, sin Ф = \frac{ 3}{5}

Now, as sin Ф = \dfrac{\textrm perpendicular}{\textrm hypotenuse}

So ,  \dfrac{\textrm perpendicular}{\textrm hypotenuse} =  \frac{ 3}{5}

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴  Base = \sqrt{16}

I.e Base = 4

Now, Cos Ф =  \dfrac{\textrm base}{\textrm hypotenuse}

So, Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Now , Since

Cos ( - Ф ) = Cos Ф

So,  Cos ( - Ф ) = Cos Ф =  \dfrac{\textrm 4}{\textrm 5}

Hence The value of  Cos (-Ф) \dfrac{\textrm 4}{\textrm 5} . Answer

6 0
2 years ago
(WILL GIVE BRAINLIEST) Which of the following exponential functions goes through the points (1, 6) and (2, 12)?
olganol [36]

Answer:

\boxed{a. \: f(x) = 3(2)x} \: is \: correct

Step-by-step explanation:

if \: the  \: points \: are \:  (1, 6) \:  and  \: (2, 12) \to \\ then \to \\ m =  \frac{12 - 6}{2 - 1}  =  \frac{6}{1}  \\  \boxed{m = 6} \\ y - 6 = m(x  - 1) \\ y = 6x - 6 + 6 \\ y = 6x = (3)(2)x \\ but \: y = f(x) \to \: hence \to \\ \boxed{ f(x) = 3(2)x}

4 0
3 years ago
The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these
kondaur [170]

The Answer is 2

34.989.I used a physics book

3 0
2 years ago
Solving systems of equations using substitution
Semenov [28]
Put x=-2 in x-y=-2
-2-y=-2
-y=0
y=0
x=-2
that's your answer.
3 0
2 years ago
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