what is the equation of the linear function?

Answer:

A.

Step-by-step explanation:

Given: limit of f(x) exists at x = a

To choose: the correct option

Solution:

A limit is a value that a function approaches as the input approaches some value.

[tex]\lim_{x\rightarrow a}f(x)=L[/tex] means that as x approaches to value a then f(x) approaches to value L.

A limit of a function f(x) exists at x = a if [tex]\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L[/tex]

So, option A. is correct.

Answer:

A.

I took the quiz and got it correct.

Answer:

Either 36.35 or 16.00173

Step-by-step explanation:

the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.

IF you are supposed to use inverse cosine:

16.00173

IF NOT:

36.35182

Answer:

5, 12, 13

Step-by-step explanation:

because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.

Answer:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Step-by-step explanation:

For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:

[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]

So then the distance between the submarine and the airplace is 525 m

Answer:

(3, - 4) is the solution to the system of equations.

Step-by-step explanation:

1. Rewrite one of the equations so it eighter starts with y= or it starts with x=

Here the easy way is to write X+y=-1 in the form x=

X= - y - 1

2. Substitute X= - y - 1 in the other equation 5X+3y=3:

5X+3y=3

X= - y - 1

5(- y - 1)+3y=3

-5y -5 +3y = 3

-2y = 3 +5

2y = -8

y = - 4

3. Now substitute this value y = - 4 in X= - y - 1

X= - (y) - 1

y = - 4

X= - (- 4) - 1

X = 4 - 1

X =3

4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.

Answer:

30

Step-by-step explanation:

150/100 = 1.5

1.5 is 1% of 150

20% of moviegoers recommend the movie

1.5 times 20 = 30

Answer:

1)  14

2) -8

Step-by-step explanation:

-2 × (-7) = 14

24 ÷ (-3) = -8

Answer:

Its B I think

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

Answer:

about $45.71

Step-by-step explanation

32/70%

32 x 100/70

32 x 10/7

320/7

$45.71

The original price would be $41.6.

Answer:

16 x^20

Step-by-step explanation:

(2x^5) ^4

We can separate this into

2^4  * x^5^4

We know that a^b^c = a^(b*c)

16 x^(5*4)

16 x^20

Answer:

The answer is b

Step-by-step explanation:

Answer:

The slope of the line is 1

Step-by-step explanation:

To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown

Answer:

30%

Step-by-step explanation:

18/60 = .3 × 100% = 30%

Answer:

x=4

Step-by-step explanation:

4(3x+5)=6(x+8)-x

Distribute

12x +20 = 6x +48 -x

Combine like terms

12x+20 = 5x+48

Subtract 5x from each side

12x-5x +20 = 5x-5x+48

7x +20 = 48

Subtract 20 from each side

7x+20-20 = 48-20

7x = 28

Divide each side by 7

7x/7 = 28/7

x = 4

Answer:

7

Step-by-step explanation:

used a calculator

Answer:

E. 54

Step-by-step explanation:

To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.

Answer:54 cm ^2

Step-by-step explanation:

9 times 6 is 54

ANSWER:

-17/32, -18/32, -19/32, -20/32, -21/32, -22/32

EXPLANATION:

-4/8 and -3/4

-4*4/8*4 and -3*8/4*8

-16/32 and -24/32

There are 8 numbers between -16/32 and -24/32. You can write any six of it.

Answer:

A--> D

B-->A

C--> C

D-->B

Answer:

The missing volume of gas is 6 liters

Step-by-step explanation:

The following data points represent the volume  of gas in each race car driver's tank (in liters):

4,5, 13, ?

Let the missing value be x

Data : 4,5,13,x

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]7 = \frac{4+5+13+x}{4}[/tex]

[tex]7 \times 4=4+5+13+x[/tex]

28=22+x

28-22=x

6=x

Hence The missing volume of gas is 6 liters

Answer:

6

Step-by-step explanation:

Khan Academy

Answer:

Anna's number could be 5 and it could be 6.

Step-by-step explanation:

Let Anna's number be represented by x.

If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.

This implies that:

[tex]x^2 - 11x + 4 = -26[/tex]

This is a quadratic equation and we can solve for x by factorization.

[tex]x^2 - 11x + 4 = -26\\\\=> x^2 - 11x + 4 + 26 = 0\\\\x^2 - 11x + 30 = 0\\\\x^2 -6x-5x + 30 = 0\\\\x(x - 6) - 5(x - 6) = 0\\\\(x - 5) (x - 6) = 0\\\\[/tex]

=> x = 5 and x = 6

Anna's number could be 5 and it could be 6.

Answer:

Is there anything else to the question like a equation?

Step-by-step explanation:

Answer:

n+1

Step-by-step explanation:

h(n) = 4n + 5

g(n) = 3n +4

(h - g)(n) = 4n + 5  - (3n +4 )

distribute the minus sign

              = 4n +5 - 3n -4

Combine like terms

              = 4n -3n  +5-4

               = n +1

Answer:

[In Picture]

Step-by-step explanation:

There are no given options.

However, I am able to recreate the best answer for the question given.

There would be arrow going to the left from -3. The arrow will include all numbers less than -3.

Since there is a less than sign, the circle at the beginning of the arrow is open.

Choose the option that closely matches the line shown.

The number line is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

n < - 3

This is read as,

n is less than -3.

The graph of the number line is given below.

Thus,

The number line of n < - 3 is n less than -3.

The graph of the number line is given below.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ5

Answer:

2) Only solar because u are near the moon lool

3) i think the same

1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.

Eevery lunar day lasts for 29.5 Earth day

Answer:

? = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

120 = ? +60

subtract 60 from each side

120-60 = ? +60-60

60 = ?

Answer:

Arc length of Semicircle ⇒ 5π

Step-by-step explanation:

See procedure below;

Radius of Semicircle ⇒ 5 units,

Diameter of Semicircle ⇒ 2 * 5 = 10 units,

Now if we were to imagine a complete circle, the length of this arc would be half of the circumference of the complete circle provided it ∈ to a semicircle. Therefore, if we are to calculate the length of the circumference of the complete circle given the diameter to have a length of 10, we can divide this by two to receive the arc length of the semicircle;

Circumference of Complete Circle ⇒ πd ⇒ 10π,

Arc length of Semicircle ⇒ 10π / 2 = 5π;

Answer; Arc length of Semicircle ⇒ 5π

Answer:

[tex]x=\dfrac{325}{c-7}[/tex]

Step-by-step explanation:

The average cost c (in dollars) to manufacture x t-shirts is given by the function:

[tex]c=\dfrac{7x+325}{x}[/tex]

We are required to express the number of t-shirts in terms of the average cost.

First, we cross multiply

cx=7x+325

Bring the terms containing x to the left hand side

cx-7x=325

Factorize out x

x(c-7)=325

Divide both sides by c-7

[tex]x=\dfrac{325}{c-7}[/tex]

Therefore, the number of t-shirts, x in terms of the average cost, c is:

[tex]x=\dfrac{325}{c-7}[/tex]