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3 years ago

10

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

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

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