ROOM
Write an equation in function notation for each situation.
1. The admission fee to a local carnival is $8. Each ride costs
$1.50
2. Steven buys lettuce that costs $1.69/1b.
3. An amusement park charges a $6.00 parking fee plus $29.99
per person.
4. A math tutor charges $35 per hour
5. A fitness center charges a $100 initiation fee plus $40 per
month

Answer:

67 math, 142 history

Step-by-step explanation:

lets say the number of math textbooks was x and the number of history textbooks is y. we have x+y=209 and x=y-75. we can plug the second equation into the first to get y-75+y=209. simplfy to get 2y=284 so y=142. since x=y-75, x=67

Answer:

45 1/3 cm

Step-by-step explanation:

A yield sign is a triangle so it has 3 sides.

If the perimeter is 136 cm meaning 3x = 136 because all the sides are equal so you can multiple the length of each side by 3 to find the perimeter

3x = 136

x = 136/3

x = 45 1/3

each side is about 45 1/3 cm

Answer:

y = - x + 3

Step-by-step explanation:

Assuming you require the equation of the line

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1 , then

y = - x + c ← is the partial equation

To find c substitute (5, - 2 ) into the partial equation

- 2 = - 5 + c ⇒ c = - 2 + 5 = 3

y = - x + 3 ← equation of line

Answer:

Take the root of both sides and solve.

[tex]x = \sqrt{6} , - \sqrt{6} [/tex]

Answer:

Take the root of both sides and solve:

[tex]x = \sqrt{6}, - \sqrt{6} [/tex]

Finding the value of x,

→ 2x + 3 - 3 = - 6

→ x + (3 - 3) = - 6/2

→ [ x = -3 ]

Thus, the value of x is -3.

Answer:

$33

Step-by-step explanation:

Let the amount of money Corey has be $x.

Amount of money Bryce have= $(x +16)

Total amount= $50

$x +$(x +16)= $50

2x +16= 50

2x= 50 -16

2x= 34

Divide both sides by 2:

x= 34 ÷2

x= 17

Amount of money Bryce have

= $(17 +16)

= $33

Answer:

Step-by-step explanation:

h(8) = -8 - 7

h(8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

h(8) - 2 f(3) = -15 - 2(4) = -23

The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Functions f(x) = -x²+8x-11 and

h(x)=-x-7

h(-8) = -8 - 7

h(-8) = -15

f(3) = -(3)² + 8(3) - 11

f(3) = -9 + 24 - 11

f(3) = 4

= h(8) - 2 f(3)

= -15 - 2(4)

= -23

Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Step-by-step explanation:

There are a couple of ways you could do this

10, 250ml (10*250=2500)

5, 500ml (5*500=2500)

3, 750ml + 250ml (3*750=2250.... 2250+250=2500)

There are many ways you could approach this. Hope these examples help

Answer:

30%

Step-by-step explanation:

75% of 40 is 30

The percentage of total applicants that accepts offers of admission is = 30%

The percentage of acceptance for students that apply for entrance is = 40%

The percentage of admitted applicants that accept the offer= 75%

This means that it is only 75% of 40% of the accepted students actually accept the offer of admission.

That is, 75/100 × 40%

= 3000/100

= 30%

Therefore, the percentage of total applicants that accepts offers of admission is = 30%

Learn more about percentage here:

https://brainly.com/question/17880579

Answer:

The slope is 6, but the equation is below.

Step-by-step explanation:

Y2 - Y1/X2 - X1

36-12/4-0

Or

12-36/0-4

=6

You'll get the same answer either way.

alternate entireror angles are congurent by this rule you can find your answer by solving the equation

Answer:

Where is it?

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you need to type it in the calculator and solve it

Answer:

3/2

Step-by-step explanation: I hope that it helps

Answer:

He runs 1 1/2 miles per practice.

Explanation:

First, you need to find the slope. This can be done by finding two points on the graph. Then you count the distance between the two y-values, and then the distance between the two x-values. Then you create a fraction with the numerator being the distance of y-values and the denominator the distance of x-values. For example, I chose the points (4,8) and (2,5) The distance between those two is 3/2. This simplifies to 1 1/2. Therefore, the slope of the graph is 1 1/2.

Hope this helped and have a great day,

Ginny

9514 1404 393

Answer:

  C)  ΔDCE ≅ ΔDQR

Step-by-step explanation:

Corresponding vertices can be identified by the number of arcs signifying congruence.

  1 mark: angles D and D

  2 marks: angles C and Q

  3 marks: angles E and R

Corresponding angles are listed in the same order in the congruence statement:

  ΔDCE ≅ ΔDQR

Answer:

Step-by-step explanation:

Three options for the first position

Two options for the second position

one option for the third position

3•2•1 = 6 ways

their orders could be

1) ABC

2) ACB

3) BAC

4) BCA

5) CAB

6) CBA

Answer:

Would be 6 ways

Step-by-step explanation

3x2=6

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Answer:

The total compound interest is $37,147.24.

Step-by-step explanation:

I could be wrong

Answer:

15

Step-by-step explanation:

26 = 2x - 4

2x = 26 + 4

2x = 30

x = 30 / 2

x = 15

Answer:

a) 50

b) 86

c) x = 130      y = 50

Step-by-step explanation:

Opposite angles that share the same lines are always the same.

Answer:

Jon’s, because he will have a higher quality of life

Step-by-step explanation:

James wants to live in a cheap living condition so his quility is going to be worse. John wants to live in a posh urban setting and posh urban is higher quility than cheap living condition. So the anwser is C.

Answer:

Step-by-step explanation:

James

Answer:

700 liter

Step-by-step explanation:

because 1000 * 7/10 is 700

Answer:

We want the ith row of the new matrix SijA to be the old jth row of A, so we need the ith row of Sij to extract the jth entry of column of A.

This mean the ith row of Sij must have a 1 in the jth entry and 0's everywhere else.

Similarly, the jth row of Sij must have a 1 in the ith entry and 0's everywhere else.

in the piecewise notation this is

(Sij)kl ={1 if k=i and l=j, 1 if k=k and l=i; 1 if k=l but k#i,j, 0 otherwise

Step-by-step explanation:

We want to answer different things regarding linear equations.

The answers are:

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1  = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3)  We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

Answer:

Step-by-step explanation:

The first part is a computation, combining the chain and quotient rules. We know that the derivative of f(x)=arcsin(x) is 1/sqrt(1-x2), and we need to differentiate the denominator. We use the chain rule: let u=1-x^2, and v=sqrt(u). Then du/dx=-2x, and dv/du = 1/(2 sqrt(u)). Combining, dv/dx=-x/sqrt(1-x2). Now, we put everything together using the quotient rules: y' = (f'v-v'f)/v2. Multiplying by (1-x2)=v2, we obtain (1-x2)y'= sqrt(1-x2)/sqrt(1-x2) +xarcsin(x)/sqrt(1-x2), which we can rewrite as 1+xy, as desired. Let's call this equation ().

We prove the second part by induction on n. To do this, we need two things: a base case, that is, proving the case n=0, and an inductive step, where we prove case n+1 from case n. To do the base case, we differentiate both sides of equation (*) that we proved above: d/dx ((1-x2 )y') = d/dx (xy+1 ). On the left-hand side, we get -2xy'+(1-x2 )y'', using the product rule, and on the right-hand side, we get xy'+y, similarly. Rearranging, we've proven the case n=0 of the desired statement. The inductive step is similar: we differentiate the equation from case n using the chain rule. Each of the first two terms splits into two: respectively, -2xy(n+2)+(1-x2)y(n+3), and (2n+3)y(n+1)+(2n+3)xy(n+2). If we combine the terms with the same numbers of derivatives on y, we get (1-x2)y(n+3)-(2n+5)xy(n+2)-((n+1)2+2n+3)y(n+1)=0 -which is what we wanted to prove, since ((n+1)2+2n+3) simplifies to (n+2)2.

Answer:

120

Step-by-step explanation:

y = x³ - 5