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Vika [28.1K]
3 years ago
6

Which decimal is between 6.4 and 6.6? A.) 6.04 , B.) 6.44 , C.) 6.60 , or D.) 6.06

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0
B 6.44 because 6.4 is equal to 6.40 and in between 6.40 and 6.60 there is 6.44.

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Bess [88]
The first answer is c
42cm(2)
4 0
3 years ago
Consider the function f(x)= 2/5x-4
Gre4nikov [31]

Answer: a) \frac{5}{2}x+10=f^{-1}(x)=g(x)

Step-by-step explanation:

Since we have given that

f(x)=\frac{2}{5}x-4

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

y=\frac{2}{5}x-4

Switching x to y , we get

x=\frac{2}{5}y-4

5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)

b) . Use composition to show that f(x) and g(x) are inverses of each other.

\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x

Similarly,

\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.


5 0
3 years ago
Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. How many toothpicks does she need to add to complete
malfutka [58]
You would take 1818÷33=55.09

55.09 is how many toothpicks it took for each step made

Then you would take 55.09×55=3029.95

You can make sure this is correct by taking 55.09×33=1817.97 which would actually be 1818 because you had to round it up 
5 0
3 years ago
Read 2 more answers
PLEASE ANSWER QUICK!!!!!!!!!!!!!!!!!!!!
Scilla [17]

two units to the left i think

Im in 8th grade :/

8 0
3 years ago
26/57 = 849/5x [x = 372.25
Hitman42 [59]
If not the answer that I got is 26/57 = [849 x(x= 372.25)]/5
3 0
3 years ago
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