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Luba_88 [7]
3 years ago
8

Which 2 statements are TRUE about Exponential Functions?

Mathematics
1 answer:
storchak [24]3 years ago
5 0
The true statements are:
<span>The equation has a variable in the exponent position.
</span><span>The graph has a variable rate of change which causes it to have a curved shape.

These are the defining characteristics of an exponential function.</span>
You might be interested in
Find the distance between the two points (-10,3) and (0,27)​
crimeas [40]

Answer:

26 units

Step-by-step explanation:

\boxed{distance \: between \: 2 \: points =  \sqrt{ {(x1 - x2)}^{2} +  {(y1 - y2)}^{2}  } }

Using the formula above,

distance between (-10, 3) and (0, 27)

=  \sqrt{ {( - 10 - 0)}^{2}  +  {(3 - 27)}^{2} }

=  \sqrt{ {10}^{2}  + ( - 24) {}^{2} }

=  \sqrt{100 + 576}

=  \sqrt{676}

= 26 units

5 0
2 years ago
How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of  (miles/minute)  or maybe  (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction.  But it can
have different units, that cancel with other units to eventually
give you the units you want.

      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ...  1 hour is the same thing as  60 minutes.

Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

               = (4 miles) / (120 minutes) 

               =          (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer. 

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

  =  (4 x 5280) / (2 x 60)  feet / minutes

  =  (21,120 / 120)  feet/minute   =    176 feet per minute
  
3 0
3 years ago
Read 2 more answers
Why do you think cereal boxes are not shaped to give the greatest ratio of volume to surface area?
oksano4ka [1.4K]
So the manufacturers can make more money out of every box. It's not about the consumers, it's always about money. 
4 0
3 years ago
Read 2 more answers
Please help on this one
kondor19780726 [428]

The answer is D because it passes the horizontal line test.  

6 0
3 years ago
Read 2 more answers
If f(x)= x2 - 4x - 4, find the input values that make the function 0.
olchik [2.2K]

Step-by-step explanation:

f(x) = x² - 4x - 4

the general formula for solving such a quadratic equation (for f(x) = 0) is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -4

c = -4

x = (4 ± sqrt(4² - 4×1×-4))/(2×1) = (4 ± sqrt(16 + 16))/2 =

= (4 ± sqrt(2×16))/2 = (4 ± 4×sqrt(2))/2 = 2 ± 2×sqrt(2)

x1 = 2 + 2×sqrt(2)

x2 = 2 - 2×sqrt(2)

6 0
2 years ago
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