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Law Incorporation [45]
3 years ago
15

How does the slope of g(x) compare to the slope of f(x)?

Mathematics
2 answers:
Maru [420]3 years ago
8 0

Answer:

The answer is 'The slope of g(x) is less than the slope of f(x)'  

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ \text{The slope of f(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{2-1}=2

The graph of g(x) passes through the points (0,2) and (2,3)

∴ \text{The slope of g(x)=}\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{2-0}=\frac{1}{2}

As \frac{1}{2}

This shows that the

The slope of g(x) is less than the slope of f(x).

joja [24]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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it means that they are 2 different lines on a cordinate plane

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The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is mea
barxatty [35]
Alright, so this is simple.

P= 50,000 or 50 thousands

G= 13 Tons

The variable f isn't known.

So your equation would be 13 = 50 (f), if you were to put your known variables in the equation.

If you were to find variable f, you would divide 13 tons by 50,000 to get 0.00026 or in scientific notation: 2.6 x 10 (exponent(s):-4)



 

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3 years ago
Ramona went out with her 3 sisters, they spent $58 plus
Leto [7]
<h2>Problem:</h2>

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

<h2>Solution:</h2>

\frac{58 + 58(9\% + 15\%)}{3}

=  \frac{58 + 58(0.09 + 0.15)}{3}

=  \frac{58 + 58 \times 0.24}{3}

=  \frac{58 + 13.92}{3}

=  \frac{71.92}{3}

= 23.97

<h2>Answer:</h2>

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3 years ago
Factorise fully x^3-x
MA_775_DIABLO [31]

Answer:

x(x+1)(x-1)

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

x^3-x=x(x^2-1)

Now notice that we have a difference of squares (x^2-1). Given a difference of squares, a^2-b^2, this can always be factored into (a+b)(a-b). We can use this in this case: x^2-1=(x+1)(x-1).

So, our final factorized form is: x(x+1)(x-1).

Hope this helps!

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3 years ago
Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r
slega [8]

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

7 0
3 years ago
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