A group of friends receives a dinner bill of $287.50 at a restaurant. The bill includes a 15% tip for the server.
Part A
How much was the bill before the tip was added?
Enter the correct answer in the box.

Answer:

Substitute –3 for x and 5 for h in the difference quotient.

Step-by-step explanation:

The difference quotient for the function f(x) is  21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2,  where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.

So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation  f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.

Answer:

(on edge) B. Substitute –3 for x and 5 for h in the difference quotient.

Step-by-step explanation:

Answer:

a straight line can be drawn through all the points and the lines passes through the point where x = 0 and y = 0 (the origin).

Step-by-step explanation:

in a proportional relationship, one variable is always a constant value times the other. That constant "a" is know as the "constant of proportionality".

y = ax

and as you can easily see, that implies if x = 0, then y = 0.

therefore, the given answer is correct.

Answer:

he uses 12 cups of flour for 24 cupcakes

that means he's using 1 cup flour for 2 cupcakes

equation =

c = 2f

Answer:

Mention any Two study routes(courses or program) that higher education could offer.

Answer:

The length of the third side is √73

Step-by-step explanation:

To find the third side, we use the Pythagorean Theorem: a² + b² = c²

a² and b² are the two smaller sides

c² is the longest side

The two shortest sides are 4√2 and ?

The longest side is 9

a² = 4√2²

b² = ?

c² = 9²

Now we put together the equation:

4(√2)² + b² = 9²

The square of √2 is 2

4 × 2 + b² = 9²

Multiply 4 and 2 to get 8

8 + b² = 9²

Calculate 9 to the power of 2 and get 81

8 + b² = 81

Subtract 8 from both sides

8 + b² - 8 = 81 - 8

Subtract 8 from 81 to get 73

b² = 73

Take the square root of both sides of the equation

√b² = √73

Simplify

b = √73

Length of third side: √73

Answer in decimal form: 8.5440037453175311678716483262397

Answer:

Step-by-step explanation:

In this problem, we are going to use Pythagoras theorem to solve for the height

given

x= 4.6 ft

hypothenus=15.2

y=?

we know that

hyp^2=x^2+y^2

15.2=4.6^2+y^2

15.2-4.6^2=y^2

15.2-21.16=y^2

5.96=y^2

√5.96=y

y=2.44ft

the height of the ladder is 2.44ft

Answer:

she has $1,800

Step-by-step explanation:

to solve we divide 2,400 by 8, which is the total amount of the 2 together. then we get 300 per share, and so we multiply that by kim's 6. to check, we can do 2(300)+6(200) which gives us our origional value of 2,400.

Hope this helps, please rate 5 stars and give brainlest!

Answer:

7

Step-by-step explanation:

Given the following :

7 heart stickers and 14 star stickers :

The greatest number of pages that can be decorated using the stickers above without any left over ;

To get this we obtain the greatest common factor of 7 and 14

Factors of 14

14 : 1, 2, 7, 14

Factors of 7

7 : 1, 7

The greatest factor common in both numbers is 7

Hence, greatest number of pages that can be decorated without any leftover is 7

Answer:

[tex]h(x)=6x^2+4x[/tex]

Step-by-step explanation:

As the rectangle's length, f(x), is 2 more than three times a unit length, x, so,

f(x)=3x+2

As the rectangle's width, g(x), is twice the unit length, x, so,

g(x)=2x.

The length and width of the rectangle are related to the area and the perimeter of the rectangle. So, the length, f(x), and the width, g(x), can be combined to give the area or perimeter, h(x).

So, h(x) might be the area or the perimeter of the rectangle.

If h(x) is the area, then

[tex]h(x)=f(x) \times g(x)[/tex] [as area=lenght x width]

[tex]\Rightarrow h(x)=(3x+2)\times 2x[/tex]

[tex]\Rightarrow h(x)=6x^2+4x[/tex] (this is in the given options)

If h(x) is the perimeter, then

[tex]h(x)=2\{f(x) + g(x)\}[/tex] [as perimeter=2(lenght + width)]

[tex]\Rightarrow h(x)=2\{(3x+2)+ 2x\}[/tex]

[tex]\Rightarrow h(x)=2(5x+2)[/tex]

[tex]\Rightarrow h(x)=10x+4[/tex] (not in the given options)

So, from the given options [tex]h(x)=6x^2+4x[/tex] is correct.

Answer:

h(x) = 6x^2 + 4x

Step-by-step explanation:

Got it right on lesson.

Answer:

138600

Step-by-step explanation:

154000/10=15400

154000-15400=138600

Answer:

5

Step-by-step explanation:

11-3(2)=

11-6=

5

Answer:

5

Step-by-step explanation:

11-3(2) replace m with 2

3x2= 6

11-6 =5

Answer:

I think its y=mx

Step-by-step explanation:

not sure :)

Answer:

[tex]\displaystyle 8,9[/tex]

Step-by-step explanation:

Deduct one from nine to get eight, then use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 4^2 = x^2 \hookrightarrow 64 + 16 = x^2 \hookrightarrow \sqrt{80} = \sqrt{x^2}; 4\sqrt{5}\:[or\:8,94427191...] = x \\ \\ \boxed{8,9 \approx x}[/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

y=-sinx

dy/dx = d(-sinx)/dt= -cosx

hope it helps

Answer:

[tex]y = - \sin(x) \\ \frac{dy}{dx} = - \frac{d}{dx} ( \sin(x) ) \\ \boxed{ \frac{dy}{dx} = - \cos(x) }[/tex]

Answer:

5.70

Step-by-step explanation:

18y=17 then y=17/18

3x-1/9y=18y

3x-1/9×17/18=18×17/18

x=2771/486

x=5.70

Answer:10!

Step-by-step explanation: Rewriting input as fractions if necessary: 9/10, 4/5 For the denominators (10, 5) the least common multiple (LCM) is  10. LCM (10, 5)Therefore, the least common denominator (LCD) is 10. Calculations to rewrite the original inputs as equivalent fractions with the LCD: 9/10=9/10×1/1=9/104/5=4/5×2/2=8

Answer:

a variable expression

Step-by-step explanation:

because it consists unknown variable d

Answer:

One candy bar cost $4.02

Step-by-step explanation:

14.19 - 5.79 = 8.4 (total candy bar cost)

8.4 / 2 = 4.2 cost of one candy bar

Answer:

4.2

Step-by-step explanation:

14.18-5.79 = 8.4

8.4/2 = 4.2

Answer:

Solved in the diagram

Needs to be 20characters long

Answer:

B. 1002

Step-by-step explanation:

0.o :P XD :V

Answer:x=(45/31)*1426=$2070. ANSWER

20% of that is $414

1/9 of that is $230

They add to $644

What is left is $1426.

Step-by-step explanation:

Answer:1428

Step-by-step explanation:

x−1128x

=867

(1−1128)x

=867

Factor out x.

1728x

=867

Simplify.

x

=1428

Solve for x.

Answer: Bobby is right, because at x = -2, 3, and 5, the denominator of the function equals zero, which is by definition undefined.

I hope this helps :)

Step-by-step explanation:

Answer: if you’re rounding to the nearest whole number it’s

439,421

Step-by-step explanation:

The number of tritium atoms that the bottle contains now is; 439,384.8 atoms.

It follows from the task content that;

On this note, the number of atoms remaining is;

N = 856,000 × (0.95)¹³

N = 856,000 × 0.5133

N = 439,384.8 atoms

Read more on radioactive decay;

https://brainly.com/question/1383030

#SPJ2

Answer:

X=28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A triangle always has 180° so that means 40° (2x+9)° and another angle add up to 180°.

We can find out two angles in order to find out the third, one of them is 40°  the other is 180°-105° because there are 180° on a line.

you get 75.

75°+40°=115°

180°-115°=65°

2x+9=65°

Make x the subject of the formula:

2x=56

(take away 9)

x=28

(divide both sides by 2)

Answer:

draw a start to D to A and to B

then put some period to O

Step-by-step explanation:

THANKS ME LATER TYYY AND MAKE ME BRAINLESS

Answer:

3 m/s²

Step-by-step explanation:

"It took 1 s more to accelerate from a velocity of 1 m/s to a velocity of 5 m/s than it took to accelerate from rest to a velocity of 1 m/s.  Find the acceleration."

Acceleration is equal to change in velocity over change in time.  The acceleration is constant, so we can write a proportion:

(1 m/s − 0 m/s) / t = (5 m/s − 1 m/s) / (t + 1 s)

1 / t = 4 / (t + 1)

4t = t + 1

3t = 1

t = ⅓

The acceleration is therefore:

a = Δv / Δt

a = (1 m/s − 0 m/s) / (⅓ s)

a = 3 m/s²

Hey there!
Let's simplify

[tex]\bold{\displaystyle\frac{3500}{9} }}[/tex]

Is there any way we can simplify this fraction?

No. 3500 and 9 do not have any common factors.

This fraction is already in its simplest form.

However, [tex]\bold{\displaystyle\frac{3500}{9} }[/tex] is an improper fraction.

An improper fraction is a fraction where the numerator (top) is greater than its denominator.

You can easily remember where the denominator is by remembering this:

The Denominator is Down

The nice thing about improper fractions is that you can simplify them... A little.

Hey! How can we simplify a fraction that's already in its simplest form?!

If the fraction is improper, then we can just write it as a mixed number.

A mixed number is a number with both a whole number and a fraction.

Let's write this fraction as a mixed number.

First, how many times does 9 go into 3,500? (evenly)

388 times

Now, take 388 and multiply it times 9:

3,492

Subtract:

3,500-3,492=8

That's our numerator.

Therefore, the mixed fraction is

[tex]\bold{388\displaystyle\frac{8}{9} }[/tex]

We can easily check if this is correct by multiplying 388 times 9 and adding 8.

See? We ended up with 3,500.

Hence, 3500/9 simplified is

[tex]\boxed{\boxed{\bold{388\frac{8}{9} }}}[/tex]

Hope everything is clear.

Let me know if you have any queries; if you do, please comment.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]