Mathematics, 19.12.2019 07:31 Metlife

❣️❣️urgent❣️❣️

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(sorry if it’s a bit hard to read)

❣️❣️urgent❣️❣️ ! (sorry if it’s a bit hard to read)

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Answer from: dakotaadkins20

Answer is in explanation.

Step-by-step explanation:

Part A:

The -coordinate of the intersection of the curves for the equations $y=4^{-x}$ and $y=2^{x+3}$ is the same as the solution to $4^{-x}=2^{x+3}$ because the equation $4^{-x}=2^{x+3}$ is the result of finding when (for what 's) the 's are the same for the the equations $y=4^{-x}$ and $y=2^{x+3}$ .

Part B:

Table for $y=4^{-x}$ :

| $y=4^{-x}$ | $(x,y=4^{-x})$ |

-3 | $y=4^{-(-3)}=4^{3}=64$ | (-3,64) |

-2 | $y=4^{-(-2)}=4^{2}=16$ | (-2,16) |

-1 | $y=4^{-(-1)}=4^{1}=4$ | (-1,4)

0 | $y=4^{-(0)}=4^{0}=1$ | (0,1)

1 | $y=4^{-(1)}=4^{-1}=\frac{1}{4}$ | $(1,\frac{1}{4})$

2 | $y=4^{-(2)}=4^{-2}=\frac{1}{16}$ | $(2,\frac{1}{16})$

3 | $y=4^{-(3)}=4^{-3}=\frac{1}{64}$ | $(3,\frac{1}{64})$

Table for $y=2^{x+3}$ :

| $y=2^{x+3}$ | $(x,y=2^{x+3})$ |

-3 | $y=2^{-3+3}=2^{0}=1$ | (-3,1)

-2 | $y=2^{-2+3}=2^{1}=2$ | (-2,2)

-1 | $y=2^{-1+3}=2^{2}=4$ | (-1,4)

0 | $y=2^{0+3}=2^{3}=8$ | (0,8)

1 | $y=2^{1+3}=2^{4}=16$ | (1,16)

2 | $y=2^{2+3}=2^{5}=32$ | (2,32)

3 | $y=2^{3+3}=2^{6}=64$ | (3,64)

You can see in the two tables the y-coordinates are the same value of when x=-1 . So basically the common point in both tables is (-1,4) so (-1,4) is a solution.

Part C:

I'm going to graph both $y=4^{-x}$ and $y=2^{x+3}$ on the same coordinate plane. I will then find where they will intersect.

I'm going to graph my points from the table to $y=4^{-x}$ and $y=2^{x+3}$ .

This can be seen in my drawing.

I graphed $y=4^{-x}$ in blue.

I graphed $y=2^{x+3}$ in red.

Another way:

An algebraic approach:

$4^{-x}=2^{x+3}$

$(2^2)^{-x}=2^{x+3}$ (since 4=2^2 and now the bases on both side are the same)

$2^{-2x}=2^{x+3}$

-2x=x+3 (since $2^{a}=2^{b}$ then a=b )

-3x=3 (subtracted on both sides)

x=-1 (divided both sides by )

The solution is x=-1 .

❣️❣️urgent❣️❣️ ! (sorry if it’s a bit hard to read)

Answer from: Quest

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

Answer from: Quest

Aye i really don’t know this but i need more point so i am guessing it’s c. 2.0or you can use other apps to you get the answer
The graph shows a distribution of data.what is the standard deviation of the data? a)0.5b)1.5c)2.0d)

The graph shows a distribution of data.what is the standard deviation of the data? a)0.5b)1.5c)2.0d)

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