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fgiga [73]
2 years ago
11

Which graph shows the solution to the equation 4^x– 3 = 8?

Mathematics
1 answer:
In-s [12.5K]2 years ago
6 0

Answer:

Answer C.

Step-by-step explanation:

We can quickly notice that Answer C is the correct answer by looking at the right-hand side of the equation. The number '8' means that a horizontal line at y=8 will be graphed along with the exponential function.

Answer C is the only graph with a line at y=8.

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Can someone please answer all parts?? Extra points for this one!
Brilliant_brown [7]
     <span>a) 
Acceleration of stone = 10 

Integrate: 
So velocity = 10t 

Integrate again: 
So distance from starting point = 5t^2 

Distance from ground = 450-5t^2 

b) 
450 - 5t^2 = 0 


9.48 seconds 

c) velocity = 10t 

Put the time into this to give: 

94.8 m/s 

d. 

Velocity = 10t + 5 

Integrate again: 

5t^2 + 5t 


Solve 
5t^2 + 5t = 450 

Gives 9 seconds</span>
6 0
2 years ago
Plz solve I’ve been stuck on how to start it and I just can’t
AleksAgata [21]

Answer:

x and y = 0

the question looks weird and almost wrong because when you subtract the equations, you are left with nothing

Step-by-step explanation:

Multiply the top equation by 3 to make the -x a -3x instead.

Then do the top equation - the bottom equation

At this point you should be left with x

7 0
3 years ago
Read 2 more answers
What is the next number in the series 4 12 6 9 8 6
NNADVOKAT [17]
4,6,8 are being counted by twos so the next one is 10
4•3= 12, 6+3=9, 8-3=6, the next operation I assume would be division so 10/3= 3.34
8 0
3 years ago
Read 2 more answers
Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)
Vinil7 [7]
By graphing the points, The best mode of the data will be the quadratic function

There is 5 steps to find the quadratic function that models the data.

First step           ⇒ Plot the data pairs (x, y) in a coordinate plane.
                              which are the blue circles in the attached figure

Second step     ⇒ Draw the parabola you think best fits the data.
                             Which is the red function in the attached figure.

Third step         ⇒ Estimate the coordinates of three points on the
                             parabola, which are (-1, 0), (2, -3), and (5, 12).

Fourth step       ⇒ Substitute the coordinates of the points into the model
                            y = ax² + bx + c
                            to obtain a system of three linear equations.

                            a - b + c = 0           ---------(1)
                            4a + 2 b + c = -3    ---------(2)
                            25a + 5 b + c = 12 ---------(3)   

Fifth step   ⇒ Solve the linear system.
                      By using the calculator
                      a = 1 , b = -2 , c = -3

So, the quadratic model for the data is ⇒ y = x² - 2x - 3


7 0
3 years ago
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
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