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3 years ago

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x+2) ?

Mathematics

2 answers:

Kay [80]3 years ago

8 0

The last one if it is talking about horizontal shifts.

AVprozaik [17]3 years ago

7 0

Answer:

<h2>The graph of g(x) is the graph of f(x) translated 2 units left.</h2>

Step-by-step explanation:

The given expression is

$g(x)=f(x+2)$

This equation states that function $g(x)$ is a transformation of function $f(x)$ , specifically, the function is being shifted 2 units left wards, because they are adding 2 units to x-variable.

Therefore, the right answer is the last choice, because it's specifying the correct transformation that defines $g(x)$ .

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Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the

Vanyuwa [196]

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

$2(x+y) =2400
\\
x+y=1200
\\
y = 1200 -x$

Let A represents area, and area is the product of length and width .

So we get

$A = x y$

Substituting the value of y, we will get

$A = x (1200-x)= 1200x -x^2$

Second part

The area is maximum at the vertex, and vertex is

$x = - \frac{1200}{2(-1)} = 600 feet$

And

$y=1200-x = 1200-600 = 600 feet$

And that's the required dimensions .

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3 years ago

Write an algebraic rule for the rotation for s (-1,3) s' (-3,-1)

USPshnik [31]

That's the symmetric property

6 0

3 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

<em>So, the length of the trip of Train Z will be</em> = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

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Mrs. Smith asked her students to make observations about the histogram, Annual Rainfall of Cities.

kakasveta [241]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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