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SIZIF [17.4K]
3 years ago
13

How do the graphs of f(x)= |x| and g(x)= 3|x| relate?

Mathematics
2 answers:
gavmur [86]3 years ago
8 0

Answer:

Option C

Step-by-step explanation:

Let f(x) be a function and b a positive real numer, then:

y = bf(x) represents a compression on a factor b of the function f(x).

In this case we have the function:

f(x) = |x|

If we do :

y = 3f(x) we have:

y = 3|x|

And the original function f(x) is compressed by a factor of 3. Observe the attached image

Then, the answer is the correct option is option C

DENIUS [597]3 years ago
4 0

Answer:

Option C is the answer.

Step-by-step explanation

Here the red  graph is for f(x) = l x l

and blue graph is for f(x) = 3 lx l

on multiplying f(x) by 3 we get the graph g(x)  

from the graph of both we can easily see that with respect to red  graph  (lxl)

the blue graph (3lxl ) gets shrunk

SO this is what the relation between f(x) and g(x)

that graph of g(x) is vertically shrunk of graph f(x).

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PLEASE HELP ! !
Alex73 [517]

Answer: A or C (i think A because its not including)

Step-by-step explanation:

6 0
3 years ago
Last year, Susan had 10,000 to invest. She invested some of it in an account that paid 6%
katrin2010 [14]

Answer:

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

t=1\ years\\ P=\$x\\r=0.06

substitute in the formula above

I1=x(0.06*1)

I1=0.06x

Part b) account that paid 5% simple interest per year

in this problem we have

t=1\ years\\ P=\$10,000-\$x\\r=0.05

substitute in the formula above

I2=(10,000-x)(0.05*1)

I2=500-0.05x

we know that

I1+I2=\$560

substitute and solve for x

0.06x+500-0.05x=560

0.01x=560-500

0.01x=60

x=\$6.000

therefore

In the account that paid 6% Susan invest \$6,000

In the account that paid 5% Susan invest \$4,000

6 0
3 years ago
Help me out here please
VLD [36.1K]

Step-by-step explanation:

the answe to dis question is 2

3 0
3 years ago
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8 batteries cost £3.99 how much does 1 cost
NemiM [27]

Answer:

1 battery cost .49875 cents, but .50 rounded

Step-by-step explanation:

Divide 3.99 by 8 and you will get .49875

4 0
3 years ago
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Which of the following is true about the function y= 4 * 3tothepowerofx
xenn [34]

Only true statement for function f(x) = 4(3^{x}) is <u>c.  if the value of x increases by 1, the value of y will triple</u>.

<u>Step-by-step explanation:</u>

<u>a.  the function decreases </u>

f(x) = 4(3^{x}) , For value of x<1 function decreases and for x>1 function increases . False statement .

<u>c.  if the value of x increases by 1, the value of y will triple. </u>

For value of x increases by 1 we have , f(x) = 4(3^{x+1}) = 4(3^{x})(3) = f(x) (3) = y(3) . True statement.

<u>b.  the function has a y-intercept of (0, 3) </u>

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<u>d.  the function contains the point (1, 4)</u>

At x=1, f(1) = 4(3^{1}) = 12 . Function contains (1,12) not (1,4) . False statement.

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