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Arte-miy333 [17]
3 years ago
9

Given the graph of y = f(x), explain and contrast the effect of the constant c on the

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0
We use the graph of f(x)=sin(x) as an example. The graph is shown in the first picture below

Let's take 2 as the value of the constant 'c' 

The transformation of f(x)=sin(2x) gives the effect of halving the x-coordinates, as shown in the second picture. 

The transformation of f(x)=2sin(x), as shown in the third picture, gives the effect of doubling the y-coordinate

In conclusion, y=f(cx)gives the effect of halving the x-coordinates while y=cf(x) gives the effect of doubling the y-coordinates

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It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to
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I believe the answer is 100 minutes.
7 0
3 years ago
Reduced each fraction as much possible 40/64
RUDIKE [14]

Answer:

5/8

Step-by-step explanation:

40/64

20/32

10/16

5/8

3 0
3 years ago
Which does not represent an integer?
miv72 [106K]

Answer:

The answer is D

Step-by-step explanation:

  • Let's see all choices in detail

A . 0 it is correct because 0 is an integer

B .It seems like rational number but it is not simplified yet so -18 \ 2= -9

C .

\sqrt{9}  = 3 \: so \: it \: is \: also \: integer

D . 4\5 it is decimal so it is rational number not integer

I hope u like it

4 0
3 years ago
Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.5
Fynjy0 [20]

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables <em>a, b</em>, and <em>c</em>, respectively.

Since a total of 14 cups of coffee was served:

a+b+c=14

A total of 204 ounces of coffee was served. Therefore:

10a+14b+20c=204

A total of $16.70 was collected. Hence:

0.95a+1.15b+1.5c=16.7

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract <em>a</em> and <em>b</em> from both sides:

c=14-a-b

Substitute this into both the second and third equations:

10a+14b+20(14-a-b)=204

And:

0.95a+1.15b+1.5(14-a-b)=16.7

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}

And for the Third:

\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}

We can solve this using substitution. From the second equation, isolate <em>a: </em>

<em />\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b<em />

Substitute into the third:

-0.55(7.6-0.6b)-0.35b=-4.3

Distribute and simplify:

-4.18+0.33b-0.35b=-4.3

Therefore:

-0.02b=-0.12\Rightarrow b=6

Using the equation for <em>a: </em>

<em />a=7.6-0.6(6)=4<em />

<em />

And using the equation for <em>c: </em>

<em />c=14-(4)-(6)=14-10=4<em />

<em />

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

7 0
2 years ago
What is the GCF of 48 and 36
slega [8]

Answer:

12 is the gcf of 48 and 36

Step-by-step explanation:

Hope this helps :)

3 0
2 years ago
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