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LuckyWell [14K]
3 years ago
7

Write the domain of begin function . . . f of x equals, the square root of the quantity . . . 2 times x plus 1 . . . end functio

n
Mathematics
1 answer:
Anni [7]3 years ago
4 0
Domain of f(x)=\sqrt{2x+1} are the values of x for which 2x + 1 < 0
2x < -1
x < -1/2

Therefore, domain is all real numbers less than -1/2
You might be interested in
Slope is –2 &amp; (5, 3) is on the line.<br> Y-Intercept:<br> Equation of the line (no spaces):
insens350 [35]

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-intercept

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

3 0
3 years ago
Find the value of x.5x50dA. 40B. 8ОО OC. 10D. 26
bekas [8.4K]

Given:

The sum of two angles 5x and 50 degrees equals 90 degrees.

To find: The value of x

Explanation:

Since the sum of two given angles equals 90 degrees.

So, we can write it as,

5x+50=90

Solving for x we get,

\begin{gathered} 5x=90-50 \\ 5x=40 \\ x=\frac{40}{5} \\ x=8 \end{gathered}

Thus, the value of x is 8.

Final answer: The value of x is 8.

6 0
1 year ago
. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
Given the graph below, locate the points of the reflection over the x-axis.
Zinaida [17]

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

---

C: (-2,2)

C': (-2,-2)

---

D: (-5,4)

D': (-5,-4)

Hope it helps, sorry I was late; just got around to this lesson.

6 0
2 years ago
The homecoming dance is going to be held in the school gym which is 300 ft by 300 ft. The fire marshal requires 4
Monica [59]

Find the area of the gym and divide that by the required space.

Area of gym: 300 x 300 = 90,000 square feet.

Number of people: 90,000 / 4 =  22,500

They can sell 22,500 tickets.

7 0
3 years ago
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