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2 years ago

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:

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Graph the function defined by f(x) = (x+21)

Inga [223]

Answer:

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