Mathematics, 03.12.2019 20:31 nickname9154

Can y’all me answer these questions

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Answer from: victoriahuntley12148

2. $f(x)=\dfrac18\left(\dfrac14\right)^{x-2}$

Domain: $(-\infty,\infty)$ , because any value of is allowed and gives a number f(x) .

Range: $(0,\infty)$ , because a^x0 for any positive real $a\neq0$ .

y-intercept: This is a point of the form (0, f(0)) . So plug in x=0 ; we get $f(0)=\frac18\left(\frac14\right)^{-2}=\frac{4^2}8=2$ . So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)

Asymptote: This can be deduced from the range; the asymptote is the line y=0 .

Increasing interval: Going from left to right, there is no interval on which f(x) is increasing, since 1/4 is between 0 and 1.

Decreasing interval: Same as the domain; f(x) is decreasing over the entire real line.

End behavior: The range tells you f(x)0 , and you know f(x) is decreasing over its entire domain. This means that $f(x)\to+\infty$ as $x\to-\infty$ , and $f(x)\to0$ and $x\to+\infty$ .

3. $f(x)=\left(\dfrac32\right)^{-x}-7$

Domain: Same as (2), $(-\infty, \infty)$ .

Range: We can rewrite $f(x)=\left(\frac23\right)^x-7$ . $\left(\frac23\right)^x0$ for all , so $\left(\frac23\right)^x-7-7$ for all . Then the range is $(-7,\infty)$ .

y-intercept: We have $f(0)=\left(\frac32\right)^0-7=1-7=-6$ , so the intercept is (0, -6) (or just -6).

Asymptote: y=-7

Increasing interval: Not increasing anywhere

Decreasing interval: $(-\infty,\infty)$

End behavior: Similar to (2), but this time $f(x)\to+\infty$ as $x\to-\infty$ and $f(x)\to-7$ as $x\to+\infty$ .

Answer from: Quest

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation: