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3 years ago

98 POINTS AND BRAINLIEST TO BEST ANSWER!!!!!!!!!!!

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Part A: the x-cordinates of where the graphs of the equations intercept are solutions because they make each side of the equation equal to the same value, making them equal. Basically, both functions put out the same value at that point x, making them equal.

Part B: See the attached image. From the tables we can see that both equations have the same output at x=-2, so that is where the graphs would intersect and that would be the solution. They both put out .0625 at x=-2

Part C: You can solve the equation 4^x=2^(x-2) graphically by plotting both sides of the equation as separate functions. In your graphing calculator, you would plot y=4^x and y=2^(x-2), and see at what x-value they intersect to find the solution

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What is the equation of the line that passes through the points (-1,3) and (1,11)?

marta [7]

Answer:

y=4x+7

Step-by-step explanation:

You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)

11-3=8

1--1=2

8/2=4

Let's plug in a y value 3.

3=4*-1+b

b=7

Once you found b rewrite your equation in slope intercept form.

y=4x+7

You can check this equation by plugging in the unused coordinate (1,11) and find it balances.

7 0

3 years ago

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

2 years ago

Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..

Molodets [167]

Answer:

Step-by-step explanation:

I used Desmos

4 0

3 years ago

Read 2 more answers

A room has a rectangular floor that is 15 feet by 21 feet. What is the area of the floor in square yards ?

Soloha48 [4]

Answer:

Hey There!

Let's solve...

Here it is a rectangular floor with length =21 cm and width =15cm

$area = l \times w \\ = 21 \times 15 \\ = 315 {ft}^{2} \\ \\$

So now We need to convert it to yards square

$315ft^{2} \times \frac{ {1yd}^{2} }{ {9ft}^{2} } \\ \\ = \cancel{315ft^{2}} \: ^{35} \times \frac{ {1yd}^{2} }{ \cancel{9 {ft}^{2} }} \\ \\ = 35 {yd}^{2}$

So how this 9 ft^2 came??

Let's know

$ft \to \: yards \\ \\ 3ft = 1yd \\ \\ {3ft}^{2} = {1yd}^{2} \\ \\ \boxed{ {9ft}^{2} = {1yd}^{2}}$

<h2>I hope it is helpful to you...</h2><h3>Cheers!_______</h3>

8 0

2 years ago

Read 2 more answers

Could anyone help, please?

Dmitry_Shevchenko [17]

First, find the probability of each event:

1) the probability that the spinner will land on a 7.

Since the spinner is split 4 equal sections and there is only 1 sector with 7, we can say the probability of getting a 7 is 1/4 as there is only 1 of 7 out of the total of 4 sections.

<em>and</em>

2) the probability that the spinner will land on B.

Since the spinner is split into 3 equal sections, and there is only 1 sector for B, we can say the probability of getting B is 1/3.

To find the probability of 2 events, we need to multiply the two probabilities.

1/4*1/3 = 1/12

So the answer is 1/12.

4 0

3 years ago