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Elena L [17]
3 years ago
6

Find the solution(s) to (x- 3) = 49. Check all that apply.

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

B.x= -4 and E. x= 10 are the answers

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a)b 256What are the values of a and b in the equation(4x[4x2- ?○ a-2, b-4○ a=-2, b-4○ a-2, b=-4○ a-2, b=-422aaaa0000C日
klasskru [66]
Hi.... your answer is below:

\left( 4.x^{a} \right)^{b}=\dfrac{256}{x^{8}}\rightarrow 4^{b}x^{ab}=256x^{-8}\rightarrow 2^{2b}.\,x^{ab}=2^{8}.\,x^{-8}\rightarrow\\ \text{by comparison}\\ 2^{2b}=2^{8}\rightarrow 2b=8\rightarrow \boxed{b=4}\\ x^{ab}=x^{-8}\rightarrow x^{4a}=x^{-8}\rightarrow 4a=-8\rightarrow \boxed{a=-2}

Thanks....
8 0
4 years ago
Q.1
MrMuchimi
The question regards composite functions. A composite function is a function composed of more than one function. Sorry for saying the word function so many times there, it's just what it is...

The phrase f(g(x)) means 'perform g on an input x, then perform f on the result'. You can then see that there are many options for f(x) and g(x) here, in fact an infinite number of one were to be ridiculous about it.

However a sensible choice might be g(x) = x^2, and f(x) = 2/x + 9. Checking:

g(x) = x^2
f(g(x)) = 2/(x^2) + 9

That is the first question dealt with. Next up is Q2. It is relatively simple to show that these functions are inverses. If you start with a value x, apply a function and then apply the function's inverse, you should return to the same starting value x. To take a common example, within a certain domain, sin^-1(sin(x)) = x.

f(g(x)) = (sqrt(3+x))^2 - 3 = 3 + x - 3 = x

g(f(x)) = sqrt(x^2 - 3 + 3) = sqrt(x^2) = x

A final note is that this is only true for a certain domain, that is x <= 0. This is because y = x^2 is a many-to-one function, so unrestricted it does not have an inverse. Take the example to illustrate this:

If x = -2, f(x) = (-2)^2 - 3 = 4 - 3 = 1

Then g(f(x)) =sqrt(1 + 3) = sqrt(4) = 2 (principal value).

However the question isn't testing knowledge of that.

I hope this helps you :)
4 0
3 years ago
A group of hikers are 675 ft from the base of Guadalupe peak, which is 8749 ft tall. what is the angle of elevation when they lo
Strike441 [17]
Tangent (angle) = opposite / adjacent
tangent (angle) = 8,749 / 675
tangent (angle) = 13
arc tangent (13) = 85.601 Degrees
answer is D



4 0
3 years ago
If you get 1 dollar every 2 week how many weeks will it take to get 800
Alchen [17]

$1 = 2 weeks

-

<u>Multiply by 800:</u>

$1 x 800 = 2 x 800 weeks

$800 = 1600 weeks

-

Answer: You need <u>1600 weeks </u>to get $800

5 0
3 years ago
ASAP!! Find the length of side x in simplest form with a rational denominator
lidiya [134]

Answer:

x=\sqrt{14}

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have \sqrt{7} as one of the sides.

They hypotenuse, which is x is just \sqrt{7} \sqrt{2}

Simplify and we get x = \sqrt{14}

4 0
3 years ago
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