Enrollment at a golf academy has grown exponentially since the academy opened. Below is a graph depicting this growth. Determine the average rate of change from x = 0 to x = 4.

A) 0.067
B) 4
C) 15
D) 75

Answer:

5ab^2-6a^2b+a^3-2b+2a

Step-by-step explanation:

The simplified expression of  expression  (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b

An expression is combination of variables, numbers and operators.

To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:

(a + b)(c + d) = ac + ad + bc + bd

Using this property, we can multiply the two binomials as follows:

(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)

Now we can distribute the terms of each binomial:

= a³ – 5a²b + 2a – a²b + 5ab² – 2b

Simplifying the terms, we can combine like terms:

= a³ – 6a²b + 5ab² + 2a – 2b

Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

greater than because 10 is further to the right on a numberline than 5

Step-by-step explanation:

Answer:

Your answer is   -14k - 14   or     k = -1

Step-by-step explanation:

-17k - 35 + 3k + 21   ( Combine like terms )

-14k - 14

-14k = 14

k = -1

Hope this helps!

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

Answer:

[tex]x = 67[/tex]

Step-by-step explanation:

[tex]x = 67[/tex]

[tex]Alternate \:Intrerior \: Angles[/tex]

Answer:

114

Step-by-step explanation:

so lets call shelf 1 x

shelf 2 is twice size + 18 of shelf 1 so it is 2(x)+18

shelf 3 is 12 less than shelf 1 so x-12

shelf 4 is four more so x+4

Add them all together and it should be 5x+10= 2.5 m or 250 cm

Solve for x using cm

then plug into shelf 2 equation

Answer:

C

Step-by-step explanation: for j(x) = k(x)

My English is not good, please forgive me

Answer:

6 smaller portions

Step-by-step explanation:

1 pound (lb) = 16 ounces (oz)

3 lbs = 48 oz

1/2lb = 8oz

48oz (total)/8oz (amount in each portion) = 6 portions

Answer:

P of rectangle = 2(L + W)

21 units = 2(n units + W)

21 units = 2nunits + 2W

21 = 2n + 2W

2W = 21 - 2n

W = 21 - 2n units.

2

on simplifying

10.5 - n units

The width of the rectangle is units (10.5 - n) units.

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

green horizontal asymptote: y = -2

blue horizontal asymptote: y = -4

Step-by-step explanation: Exponential functions have a horizontal asymptote

Answer:

x = -4/5

Step-by-step explanation:

Original equation: -(x+4)-3x=x

Remember distributive property allows us to get rid of the parenthesis by bringing a multiplication from outside to inside a parenthesis.

-(x+4) = -x-4

= -x-4-3x=x

Now we combine like terms in this case we have (-x) and (-3x)

= -4x-4=x

Subtract x from both sides

= -4x-4=x

  -x      -x

----------------

 -5x-4=0

Add 4 to both sides

-5x-4=0

    +4 +4

---------------

-5x=4

Our final step is to divide both sides by -5

-5x=4

----  ----

-5    -5

x = -4/5

Hope this helps!!!

Answer:

15

Step-by-step explanation:

suppose x is the no. of cloth that can be bought in rs 727.5

then cost of 1meter cloth is rs 727.5×.....(i)

and cost of 40mtr cloth is rs 1940

then 1mtr cloth is 1940/40....(ii)

so from i and ii

we get

727.5/x = 1940/40

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

Answer:

V = 72 & W = 72

Step-by-step explanation:

All angles of a triangle will be equivalent to 180 degrees.

We start by subtracting first.

180 - 36 = 144

Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.

The last step is to divide.

144 / 2 = 72

V = 72 & W = 72

Answer:

40.5

Step-by-step explanation:

x2 - 81 = 0 --> + 81 to both sides

2x = 81 --> divide by 2 on both sides

x = 40.5

Answer:

2x-81=0

2x=0+81

2x=81

x=81

2

x=40.5 ANSWER.

MARK ME AS A BRAINLIST PLZ.

Step-by-step explanation:

The area = 3 × 10 = 30

The perimeter = 2(3 + 10) = 26

please give me a brainliest answer

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25

Step-by-step explanation:

perpendicular means to cross at a right angle (90 degrees).

so, any line perpendicular to the x-axis is parallel to the y-axis.

and any line parallel to the y-axis has only a defining x value. all points on that line have the same x value (while any value for y from -infinity to +infinity is valid).

the y-axis itself is

x = 0

the specified point here has an x value of 4.

so, the line we are looking for is

x = 4

to point out : this is NOT a function, because for the same x value we get more than 1 valid y values.

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

Therefore, the answer is 33x + 55y.

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

Answer:

98.25

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

add 21 and 34. with that you get 55. then subtract 180 from 55 then get 125