Write an equation of a function with each domain:
a. [ 2 , ∞ )
b. ( -∞ , ∞ )

Step-by-step explanation:

= 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t

Answer:

B

Step-by-step explanation:

We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's find the slope of the line first. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]

We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).

Substitute:

[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]

Simplify:

[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]

Therefore, our answer is B.

Answer:

(2x^2+3)^2

Step-by-step explanation:

See image below:)

Answer:

14×4+21×2+28=126

Step-by-step explanation:

correct me if I'm wrong

Answer:

(2/3) foot =  8 inches

Answer:

They are congruent

Step-by-step explanation:

The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.

The answer is 'Right'.

Step-by-step explanation:

Sum of angles in a triangle = 180°

Angle C = 180 - 58 - 32

= 90°

90° is defined as a right angle.

Therefore, triangle ABC is classified as a right-angled triangle.

9514 1404 393

Answer:

 5

Step-by-step explanation:

Put the numbers where the letters are and do the arithmetic.

  5(3) -2(5) = 15 -10 = 5

Answer:

5

Step-by-step explanation:

5m - 2n

Where, we have given ; m = 3 & n = 5

plug the value in the equation

Answer:

fact

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

Answer:

D

Step-by-step explanation:

Pitágoras

A^2 = B^2 + C^2

A^2 = 14^2 +5^2

A^2 = 196 + 25

A = √221

Answer:

tan B =  12 /5

sin B =  12/13

cos B =  5/13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan B = opp/ adj = 12 /5

sin B = opp/hyp = 12/13

cos B = adj/hyp = 5/13

Answer:

Sine of B = 12/13

Cos of B = 5/13

Tan of B = 12/5

Step-by-step explanation:

In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Answer: Quadrant 3

============================================================

Explanation:

pi radians = 180 degrees

If angle [tex]\theta[/tex] (greek letter theta) is in quadrant 1, then this places the angle in the northeast quadrant. Adding 180 degrees to theta will move it to the third quadrant, which is in the southwest.

Note: when incrementing through the quadrants (1,2,3,4) we move counterclockwise.

Answer: [tex]0.00005[/tex]

Step-by-step explanation:

Given

The probability that a certain component in a communication satellite fails is 0.005.

There is an independent backup system, and the probability that is fails is 0.01

The probability that both the system fails is given by

[tex]\Rightarrow P=0.005\times 0.01\\\Rightarrow P=0.00005[/tex]

Answer:

4

Step-by-step explanation:

2/3x6=4

Answer:

3a-4ab-5

Step-by-step explanation:

(-ab+3a-3) - (3ab+2)

Distribute the minus sign

(-ab+3a-3) - 3ab-2

Combine like terms

3a-4ab-5

Answer:

[tex]-4ab+3a-5[/tex]

Step-by-step explanation:

Hi there!

[tex](-ab+3a-3) - (3ab+2)[/tex]

Open up the parentheses

[tex]-ab+3a-3- 3ab-2[/tex]

Combine like terms

[tex]-ab- 3ab+3a-3-2\\-4ab+3a-5[/tex]

I hope this helps!

Answer:

y=mx+b

Step-by-step explanation:

so that is b right?

that means its what number you start the y on

Answer:

[tex] x_{1} = 3 + \sqrt {6} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Step-by-step explanation:

Given the quadratic equation;

x² - 6x + 3 = 0

To find the roots of the quadratic equation, we would use the quadratic formula;

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 1, b = -6 and c = 3

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the formula, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {-6^{2} - 4*1*(3)}}{2*1} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (12)}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - 12}}{2} [/tex]

[tex] x = \frac {6 \pm \sqrt {24}}{2} [/tex]

[tex] x = \frac {6 \pm 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6 + 2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = \frac {6}{2} + \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{1} = 3 + \sqrt {6} [/tex]

Or

[tex] x_{2} = \frac {6 - 2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = \frac {6}{2} - \frac {2 \sqrt {6}}{2} [/tex]

[tex] x_{2} = 3 - \sqrt {6} [/tex]

Answer:

10

Step-by-step explanation:

10x²-14x+k = 0

x1 = sin a

x2= cos a

x1+x2 ≤ 2

x1. x2 ≤ 1 => k/10 ≤ 1

k ≤ 10

so the value of k should be 10

Answer:

y=6

the first equation:

3(1)+y=9

3+y=9

y=6

the second equation:

y= -4(1)+10

y= -4+10

y=6

I hope this helped! :)

Answer:

160,000

Step-by-step explanation:

                   251

                × 638

     _______________

                2008

                753

    +       1506

__________________

            160138

Product to the  nearest thousand = 160,000            

Answer:

i don't know 241 I think sorry

Answer:

31.4

Step-by-step explanation

I think

Answer:

AOB = 65

DOE = 35

AOC = 90

EOB = 115

DOB = 80