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3 years ago

Which equation is represented by the intersection of the graphs below?

Mathematics

2 answers:

Pavel [41]3 years ago

6 0

The red curve is y = tan x

The blue line is y = 1

Therefore your answer is tan x = 1

<h3>Answer: A</h3>

Ad libitum [116K]3 years ago

4 0

Answer: The answer is (A) tan x = 1.

Step-by-step explanation: We are given to select the correct equation from the options that is represented by the intersection of the graphs shown in the figure.

We can see in the graph that the red graph shows the function (1) as follows:

$y=\tan x,$

and the blue graph shows the following function (2):

$y=1.$

Therefore, the intersection of the graphs (1) and (2) will be

$\tan x =1.$

Thus, (A) is the correct option.

You might be interested in

Make a conjecture of what the x-intercepts of the function<br> f(x) = (2x - 1)(x + 3) will be.

drek231 [11]

Answer:

x=-3,x1/2

Step-by-step explanation:

f(x)=(2x-1)(x+3)

TI find x intercept/zero substitute

f(x)=0

0=(2x-1)x(x+3)

swap the sides of the equation

(2x-1)x(x+3)=0

when the product of factors equals 0,at least one factor is zero

2x-1=0

x+3=0

solve the equation for x

x=1/2

x+3=0

solve the equation of x

x=-3

The equation has two solution

x=-3

x=1/2

3 0

3 years ago

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

$\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]$

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]$

$R_3\rightarrow R_3-2R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]$

$R_3\rightarrow R_3-R_2$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]$

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

3 years ago

Ralph and Waldo start in towns that are 70 miles apart and travel in opposite directions for 4 hours.

Lina20 [59]

Answer:

Step-by-step explanation:

Let Waldo's speed = W

Let Ralph's speed = W + 15

Waldo's distance = speed * Time

Time = 4 hours.

Speed = w

distance = 4 * w

Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.

Ralph traveled 4*(W + 15)

4w + 70 + 4(W + 15) = d

You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.

6 0

3 years ago

Prism with a length of 2 yd, a widht of 4 yd , and a height of 5yd

lorasvet [3.4K]

Answer:

40 yd

Step-by-step explanation:

Rectangular prism formula:

A = lwh

A = (2)(4)(5)

A = 40

7 0

3 years ago

if you have 48 apples and you gave your friend molly 20 and you gave your brother and mom 18 each how much apples do you have no

Lelechka [254]

Answer:

Step-by-step explanation:

48-20=28

28-18=10

that is how I see it at least

6 0

2 years ago