#17 Write an inequality for
the situation below:
Bring at least $9 for dinner
tomorrow.

The total amount of money Sam deposited is $1,031.72.

Given that, Sam deposited 28 twenties, 18 tens, 32 fives, 20 ones, 18 quarters and checks for $22, $18.18 and $67.04.

We need to find out what was the amount Sam deposited.

Add the rate to the purchase price to determine the discount. Subtract the discount from the original price to arrive at the sale price.

The discounted price at which products or services are being sold is known as a sale price.

Now, total money = 28×20+18×10+32×5+20×1+18×0.25+22+18.18+67.04

=560+180+160+20+4.5+22+18.18+67.04

=1,031.72

Therefore, the total amount of money Sam deposited is $1,031.72.

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Answer: x=0.5

Step-by-step explanation:

4x+2x - 2 = 2x

6x-2=2x

6x=2x+2

4x=2

x=0.5

The value of the perimeter of square become is 36x - 132.

According to the statement

We have to find that the perimeter of the square.

So, For this purpose, we know that the

The perimeter of the square is defined as the total length of the boundary of a square.

From the given information:

The side of the square is given which is:

9x - 33

Then

We know that the

Perimeter of square  = 4a

And substitute the values in it then

here a = 9x-33

Then after put the values Then

Perimeter of square = 4(9x-33)

Perimeter of square = 36x - 132.

The value of the perimeter of square become is 36x - 132.

So, The value of the perimeter of square become is 36x - 132.

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The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

What is inequality?

From the information given, we have that;

Area of the small pizza = 730(seven hundred thirty) square centimeters

p  = area of the larger pizza

In writing inequality, we have to use the signs

<  less than

> greater than

Since p has a greater area, we have

730(seven hundred thirty) < p

Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

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2210

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

Expanding the term,

2.21 x 1000 = 2210

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The reasonable domain for this function is [tex](x > 0)[/tex] .

The collection of all feasible values for the independent variable is referred to as a function's domain.

When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.

Let the width of the rectangle be x units.

Thus as per given information length becomes x+4 units.

It is given, the area of rectangle can be expressed by the equation

[tex]y=x^{2} +4x[/tex]

Now let's find domain of this function.

clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.

Therefore the domain of the function is

[tex](0,\infty)[/tex] or x>0 .

Therefore the domain is given by the thirds option (c) x>0 .

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Answer:

Step-by-step explanation:

b=4c-s2

4(25)-9(2)

100-18=82

b=82

The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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Answer:

each takes 3 together 3x3=9

Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Answer:

15

Step-by-step explanation:

[tex]3x-15=4x \\ \\ x-15=0 \\ \\ x=15[/tex]

Answer:

(in English)

x can be anything EXCEPT -3

(in Math)

Interval Notation:

(negativeinfinitysymbol,-3)U(-3,infinitysymbol)

Set Builder Notation:

{x | x < -3 or x > -3}

Step-by-step explanation:

Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.

So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.

2x + 6 = 0

Subtract 6.

2x = -6

Divide by 2.

x = -3

Remember this is what x canNOT be.

This question is a domain question. What is x allowed to be? x may be anything except -3.

The given functions can be solved using composition functions.

Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.

function (x)-2x+5.

(a) f(3) = 2(3) + 5

= 11

(b) f'(x)

y = 2x + 5

y - 5 = 2x

x = y - 5 / 2

f'(x) = x - 5 / 2

g is the function g(x)-²-25.

(c)  g(x)-²-25

g(-3) = (-3)² - 25

g(-3) = -16

(d) g(f(x)) = g(2x + 5)² - 25

= 4x² + 25 + 20x - 25

⇒ 4x² + 20x

r'(x) = 2x + 5

(ii) g(x) - 0

⇒ g(x)

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Using it's concepts, we have that:

Hence:

A relation represents a function when each value of the input is mapped to only one value of the output.

From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.

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Answer:

34 I plus the word like in number it self

Step-by-step explanation:

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }\math

d= (x 1 −x2 ) 2 +(y 1 −y 2) 2

We are defined our two points as:

(x₁, y₁) → (1, -7)

(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1

y₁ = -7

x₂ = 7

y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

\begin{gathered}\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}\end{gathered}

d= (1−7) 2+(7−0) 2= (−6) 2+(7) 2 = 36+49=\math 85

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Greetings from Brasil...

We have 2 fixed fees:

→ $10 when you sit on the bench

→ $5 tip

So, fixed fees = $10 + $5 = $15

The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:

C = 0.75M + fees

let

C = cost

M = mile(s)

for 24 miles, M = 24, then

C = 0.75M + 15

C = 0.75 · 24 + 15

C = 18 + 15

C = $33

With $30 it will not be possible to make this trip, as the total cost would be $33

One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.

We can rewrite the cost expression involving a variable for the tip:

C = 0.75M + T + 10

let T = tip

For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30

C = 0.75M + T + 10

30 = 0.75 · 24 + T + 10

30 = 18 + T + 10

30 - 18 - 10 = T

T = 2

Is it possible to do this ride if you pay only $2 tip

The value of the functions are:

f(2) = 9

f(2) = -11

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given function is,

f(x) = 4x+1

Put x = 2 in the given fucntion,

f(2) = 4(2) + 1

f(2) = 9

Put x = -3 in the given fucntion,

f(2) = 4(-3) + 1

f(2) = -11

Hence, The functions,

f(2) = 9

f(2) = -11

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Answer:

7.5 batches

Step-by-step explanation:

if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.

2.25kg would let us make

2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches

A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points. The rules that maps the other vertices of the figure to their images is T<-2, -7> (x,y).

What are coordinates?

A coordinate system is geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Given that Sanjay determined that one vertex of a figure was mapped to its image by translating the point 2 units left and 7 units down.

In order to translate coordinates, 2 units left we need to subtract 2 units from the x-coordinate of the point, while to translate the point 7 units down we need to subtract 7 from the y-coordinate of the point.

Therefore, the rule that maps the other vertices of the figure to their images is, (x¹,y¹)=(x-2,y-7), or it can bse written as T<-2,-7> (x, y),

where x¹ and y¹ are the coordinates of the points after transliteration.

Hence, the rule that maps the other vertices of the figure to their images is T<-2,-7> (x, y,).

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Answer:

Infinite

Step-by-step explanation:

The graph is continuous, so it passes through infinitely many points.

Answer: 12.9

Step-by-step explanation:

5 x 3 x 2= 30

5 x 3= 15

15 x 2= 30

D= M/V -> Try to remember the DMV

387 / 30= 12.9

30 x 10= 300

30 x 2= 60

30 x 1= 30

30 x .9= 27

10 + 2 + .9= 12.9

300 + 60 + 27= 387

Answer:

95 + (15 x n)  n = number of people attending

Step-by-step explanation:

the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$

Answer:

1/12

Step-by-step explanation:

All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.

She will spend £250 and save £400.

Ratio is an expression that indicates how many times one quantity is more than the other.

Here, we are given that Miss penny inherits £650.

Her saving to spending ratio is 9 : 4

Thus, the proportion of money she saves is 9/ (4+9) = 9/13

therefore, the amount of money saved will be-

9/13 of 650

= 9/13 * 650

= 9 * 50

= 450

Thus, Miss Penny saves £400.

The remaining amount left with her = 650 - 400 = 250.

Thus, she spends the remaining £250.

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Your question was incomplete. Check for full content below-

Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4. How much does she save and how much does she spend?

Answer:

Below in bold.

Step-by-step explanation:

A = value of y when x = -1:

A = -2(-1)^2 + 4(-1) + 9

   = -2*1 - 4 + 9

   = -2 - 4 + 9

   = 3.

B = value of y when x = 2:

B = -2(2)^2 + 4(2) + 9

   = -2*4 + 8 + 9

   = - 8 + 8 + 9

    = 9.

Step-by-step explanation:

23.3 million = 58%

1% = 58%/58 = 23.3 mil. / 58

100% = 1%×100 = 100×23.3 mil./58 =

= 2,330,000,000/58 = 40,172,413.79... ≈

≈ $40 millions

The conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

In this question we need to convert the metric units of length.

We need to convert 100 kilometers to meters.

We know that, 1 kilometer = 1000 meters

Let 100 kilometers = p meters

So, we get an expression,

p × 1 = 100 × 1000

From this expression we get,

p = 100,000 meters

This means, 100 kilometers = 100,000 meters

Therefore, the conversion of 100 kilometers to meters would be,

100 kilometers = 100,000 meters

The correct answer is an option (a)

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