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3 years ago

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x+3)2 + 4

Mathematics

1 answer:

umka2103 [35]3 years ago

6 0

If you mean, f(x) = x^2 to g(x) = (x+3)^2 + 4
then the transformation would be:

the graph shifts 3 left and 4 up

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Really really need this answer. Please help!

scZoUnD [109]

Use the cosine function.

cos x = 2/12
cos x = 0.167

use the inverse of cosine:

x = 80.405

The answer is C.

Hope this helps :)

4 0

3 years ago

How can you tell that the data in the table is function or not?

stealth61 [152]

that is not a function, because there are two outputs for three. two inputs can have one output, but one input cant have two outputs.

6 0

3 years ago

Solve the following system: 3x + 2y = 7 -4.5x - 3y = -10.5

valentina_108 [34]

Answer:

infinitely many solutions

Step-by-step explanation:

The system of equations :

3x + 2y = 7
-4.5x - 3y = -10.5

Multiplying Equation 1 times 3 and Equation 2 times 2 :

9x + 6y = 21
-9x - 6y = -21

Putting the equations in standard form after simplifying :

6y = -9x + 21 ⇒ y = -1.5x + 3.5
-6y = 9x - 21 ⇒ y = -1.5x + 3.5

As both equations are the same, the system will have infinitely many solutions.

4 0

2 years ago

I have the question in a screengrab. Thank you, whoever helps me.

nata0808 [166]

To simplify

$\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}$

we need to use the fact that

$\sqrt[4]{x^4}=|x|$

Why the absolute value? It's because $(-x)^4=(-1)^4x^4=x^4$ .

We start by rewriting as

$\sqrt[4]{\dfrac{2^23x^6y}{2^6x^4y^5}}$

$\sqrt[4]{\dfrac{2^23x^4x^2y}{2^42^2x^4y^4y}}$

Since $x\neq0$ , we have $\dfrac xx=1$ , and the above reduces to

$\sqrt[4]{\dfrac{3x^2y}{2^4y^4y}}$

Then we pull out any 4th powers under the radical, and simplify everything we can:

$\dfrac1{\sqrt[4]{2^4y^4}}\sqrt[4]{\dfrac{3x^2y}{y}}$

$\dfrac1{|2y|}\sqrt[4]{3x^2}$

where $y>0$ allows us to write $\dfrac yy=1$ , and this also means that $|y|=y$ . So we end up with

$\dfrac{\sqrt[4]{3x^2}}{2y}$

making the last option the correct answer.

7 0

3 years ago

What is the unit rate if the candy is $7.80 for 2 pounds?

shutvik [7]

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy ÷ 2

________

2 pounds ÷ 2

3.9 candy

_______

1 pound

3.9 candy

_______

pound

= 3.9 candy per pound

7 0

3 years ago