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den301095 [7]
3 years ago
13

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer with explanation:

All the first element of Ordered pair ,is called Domain of the set. And all the second element of Ordered pair is called Range.

For, the ordered pair, (x,y)

x= Domain

y=Range

For, the Set G ,Consisting of ordered pair

   = {(-1, 7),(-8, 2),(0, 0),(6, 6)}

⇒Domain of G = {-1, -8, 0,6}

⇒Range of G= {2, 7, 0, 6}

Hunter-Best [27]3 years ago
5 0
All the second numbers. {0, 2, 6, 7}.
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nlexa [21]

Answer:

3000

Step-by-step explanation:

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3 years ago
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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
3 years ago
How to solve for x/ extraneous solutions
taurus [48]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D

3 0
3 years ago
Need help on solving this ?
katovenus [111]
For the first question, simply plug in the value of 3 into the polynomial question. The final answer is your volume of the hot water tub.

For the second question, you can figure out that x = -5 is not a real root because it does not touch or cross the x axis.

If it does it would be an solution.





4 0
3 years ago
Suppose f(7) = 5​, f'(7) = 8​, g(7) = 3​, and g'(7) = 4. Find h(7) and h'(7)​, where h(x ) = 4f (x) + 3g(x).
dusya [7]

Answer:

h(7) = 29

h'(7) = 44

Step-by-step explanation:

If h(x) =4f(x)+3g(x), to find h(7) we can substitute the values of f(7) and g(7) and we get:

h(7)=4f(7)+3g(7)\\h(7)=4(5)+3(3)\\h(7)=20+9\\h(7)=29

To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.

This would mean that h'(x)=4f'(x)+3g'(x), we can substitute the values for f'(7) and g'(7)

h'(7)=4f'(7)+3g'(7)\\h'(7)=4(8)+3(4)\\h'(7)=32+12\\h'(7)=44

7 0
3 years ago
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