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3 years ago

Please look at the picture and help me with this question

Mathematics

1 answer:

adoni [48]3 years ago

5 0

Answer:

Step-by-step explanation:

f(x) = 4^x

g(x) = f(x -1) + 3

g(x) = 4^(x - 1) + 3

See the diagram that is below.

Red line: f(x) = 4^x

Blue line: g(x) = f(x - 1) + 3

The graph has been transformed so that f(x) moves upwards by 3 unitsw to get to g(x)

Furthermore, if x = 0 the y intercept for f(x) = 1

If x = 0 then g(x) moves up 3 spaces by virtue of the 3, and and up another 1/4 because the first term becomes 4^-1 = 1/4. This 1/4 gets added to the 3 to give 3 1/4

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Find n(A) for the following set. A={a,b,c,...,z}

MariettaO [177]

n(A) = 26

Solution:

Let us first define the cardinal number of the set.

Cardinal number of the set:

The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).

Given set: A = {a, b, c, .... z}

We know that, there are 26 elements in the alphabet "a to z".

Number of elements in the set A = 26

Hence n(A) = 26.

5 0

3 years ago

Find the side length. Round to the nearest tenth if necessary. 15

Rasek [7]

Answer:

x = 39

Step-by-step explanation:

This is pythagoras

x = √36² + 15²

x = √1296 + 225

x = √1521

x = 39

Hopefully it helps you

Ask if u don't understand

8 0

3 years ago

How do you solve these problems?

Rzqust [24]

A)

$\bf log_4(x)=3\\\\
-----------------------------\\\\
log_{{ a}}{{ a}}^x\implies x\qquad \qquad 
\boxed{{{ a}}^{log_{{ a}}x}=x}\impliedby 
\begin{array}{llll}
\textit{we'll use this}\\
\textit{cancellation rule}
\end{array}\\\\
-----------------------------\\\\
4^{\cfrac{}{}log_4(x)}=4^3\implies x=4^3$

b)

$\bf 3^{2y}=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^{2y}=3^4\impliedby 
\begin{array}{llll}
\textit{same base}\\
exponents\\
must\ be\\
the\ same
\end{array}
\\\\\\
2y=4\implies y=\cfrac{4}{2}\implies y=2$

6 0

4 years ago

1. 1 +2r = 2. 12 = 18 - d 3. 5b + 10 = 30

seropon [69]

Answer:

1. r=anything

2. d=6

3. b=4

Step-by-step explanation:

6 0

3 years ago

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The diameter of Mercury is approximately 4.9×1034.9×103 kilometers. The diameter of Saturn is approximately 1.2×1051.2×105 kilom

mrs_skeptik [129]

To get the difference between the two diameters, all you have to do is subtract the smaller diameter (Mercury) from the larger diameter (Saturn) as follows:

Difference between the two diameters =diameter of Saturn-diameter of Mercury
Difference between the two diameters = (1.2*10^5) - (4.9*10^3)
Difference between the two diameters = 115100 km

4 0

3 years ago

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