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a_sh-v [17]
3 years ago
10

What is the domain of the graph? Put in correct notation

Mathematics
1 answer:
Keith_Richards [23]3 years ago
7 0

Answer:

(-∞, 5]

Step-by-step explanation:

t hat would be  -∞  < x <=5

In interval notation it is (-∞, 5]

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Find the logarithmic function y = logbx that passes through the points
katovenus [111]

b\in(0,\ 1)\ \cup\ (1,\ \infty)\\x > 0\\y\in\mathbb{R}\\--------------------------\\\\y=\log_bx\\\\For\ (1,\ 0)\to x=1,\ y=0.\ Substitute:\\\\\log_b1=0\to b^0=1\to b\in(0,\ 1)\ \cup\ (1,\ \infty)\\\\For\ (116,\ 2)\to x=116,\ y=2.\ Substitute:\\\\\log_b116=2\to b^2=116\to b=\sqrt{116}\\\to b=\sqrt{4\cdot29}\to b=\sqrt4\cdot\sqrt{29}\to b=2\sqrt{29}\\\\For\ (4,\ -1)\to x=4,\ y=-1.\ Substitute:\\\\\log_b4=-1\to b^{-1}=4\to b=\dfrac{1}{4}

Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is \left(\dfrac{1}{16},\ 2\right)

Substitute:

\log_b\dfrac{1}{16}=2\to b^2=\dfrac{1}{16}\to b=\sqrt{\dfrac{1}{16}}\to b=\dfrac{1}{4}

<h3>Then we have the answer:</h3>

\boxed{y=\log_{\frac{1}{4}}x}

6 0
3 years ago
Name
ivann1987 [24]

Answer:

6. 10^3   ten to the third power

7. 10^5  ten to the fifth power

8.  not sure

10. 60

19. 20

11-13: not sure

and i can't understand the rest

Step-by-step explanation:

7 0
3 years ago
What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?
zysi [14]

Answer:

B. 199

Step-by-step explanation:

We are given an Arithmetic sequence : 3, 7, 11, 15, ...

We are supposed to find the 50th term .

So, first consider the formula of nth term in Arithmetic mean:

a_{n} = a+(n-1)*d

where

a is first term of sequence

n is term position

d is common difference

a_{n}= the term you are supposed to find

Now,

a = 3 ( first term )

n = 50 th term ( given )

d = 7-3 = 11-7 = 4(common difference

Substitute these value in the formula given above

⇒a_{50} = 3+(50-1)*4

⇒a_{50} = 3+(49)*4

⇒a_{50} = 3+196

⇒a_{50} = 199

Hence ,The 50th term of given arithmetic sequence is 199

So, OPTION B is correct .


5 0
3 years ago
What is the y-intercept of the line given by the equation below? y=-10x+14
aleksklad [387]
D: (0,14)
the y-intercept would be at 14 due to the equation
y=-10x+14
14 is the intercept
6 0
3 years ago
Read 2 more answers
Amelia inserted parentheses to the numerical expression 12 ÷ 2 + 4 × 3 + 5 so that the value of her expression was 16. Which of
denis-greek [22]

Answer:

D. 12 ÷ (2 + 4) × (3 + 5)

Step-by-step explanation:

12 ÷ (2 + 4) × (3 + 5)

⇒ 12 ÷ 6 × 8

⇒ 2 × 8

⇒ 16

3 0
3 years ago
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