f(x) = 2[[X-3.5]] : What is f(2)?

Answer:

Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

Step-by-step explanation:

Relationships between two variables is proportional if their ratios are equivalent.

In 2010, the school paid $1,260 for 84 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1260:84=15:1[/tex]

In 2011, the school paid $1,050 for 70 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1050:70=15:1[/tex]

In 2012, the school paid $1,395 for 93 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1,395:93=15:1[/tex]

As [tex]1260:84=1260:84=1,395:93=15:1[/tex],

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

Answer:

yes

Step-by-step explanation:

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

Answer:

B

Step-by-step explanation:

Answer:

B- Vertex at (-6,1)

Step-by-step explanation:

Answer:

It would cost 3.47 cents for one ounce.

Hope it helps :)

Answer: 3.47

Step-by-step explanation: see the key word per and that tells you to divide 20 by 5.76 and get 3.47

Answer:

A

Step-by-step explanation:

Answer:

[tex]\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)[/tex]

Step-by-step explanation:

Equation of the Parabola

The general form of the equation of the parabola is:

[tex]f(x)=ax^2+bx+c[/tex]

We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).

However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:

[tex]f(x)=a(x-p)(x-q)[/tex]

We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:

[tex]f(x)=a(x-1)(x+3)[/tex]

We only need to find the value of a. We do that by using the point (-9,28):

[tex]28=a(-9-1)(-9+3)[/tex]

Operating:

[tex]28=a(-10)(-6)=60a[/tex]

Solving for a:

[tex]\displaystyle a=\frac{28}{60}=\frac{7}{15}[/tex]

Thus, the equation of the parabola is:

[tex]\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}[/tex]

Answer:

(b) x > 26 cookies

Step-by-step explanation:

The selling price of 1 super-sized cookie, S.P.=$1.50

Let a batch have x cookies.

So, the selling price of x cookies=1.5x

The expences in making one batch of cookies=$10

So, net profit = 1.5x-10

The given inequality to model this is 1.5x - 10 > y, That means the profit for one batch is greater than y.

As she wants to make a profit of at least $30, so for this condition, the value of y is 30.

Now, the given inequality become,

[tex]1.5x - 10 >30[/tex]

[tex]\Rightarrow 1.5x>30+10[/tex]

[tex]\Rightarrow x>\frac{40}{1.5}[/tex]

[tex]\Rightarrow x>26\frac{2}{3}[/tex]

As x is the number of cookies, so, it can't have a fractional value. This can be written as

[tex]x>26[/tex] or [tex]x\geq27.[/tex]

So, she has to sell more than 26 cookies to make a profit of at least $30.

Hence, option (b) is correct.

Answer:

1

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

Answer:

February, it's the shortest month after all.

Answer: February

Step-by-step explanation: People sleep the least amount of time in February because it is the shortest month out off all the months. Your welcome :)

Answer:

x+21

Step-by-step explanation:

Distribute

4x+21-3x

Combine like terms

X+21

Answer:

=x+21

Step-by-step explanation:

4x+3(7−x)

expand: 3(7-x): 21-3x

=4x+21-3x: x+21

=x+21

Hope this helped :)

Answer:

Ok, we know that we can write a horizontal translation as:

y' = f(x - A)

where if A is positive, this moves the graph of f(x) A units to the right.

Why is this?

Ok, let's compare:

y = f(x)

and

y' = f(x - A)

in y, when x = 0 we have f(0).

While to have this same point in y', we need to evaluate in x = A.

f(A - A) = f(0).

Then the value f(0) is now at x = A, this means that the point moved A units to the right.

And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.

Answer: 3/10

Step-by-step explanation: It's 3/10 because the total amount when you add all the numbers together is 120, and since he spins it 120 times, we could assume that 36 would be the amount of times that it would land on it based on the data given. We're not done yet though. You do 36/120 to get the probability, and you simplify it to get 3/10.

The probability that Ricardo spins blue on his next spin is 0.3

We could use the principle of experimental probability to determine the probability of spinning blue on next spin :

Given that :

Red: 35

Blue: 36

Green: 32

Yellow: 8

Orange: 9

Experimental probability = (number of times event occur / total number of trials)

Total number of trials = (35 + 36 + 32 + 8 + 9) = 120

The experimental probability of spinning blue is thus :

(Number of blue spins / total number of spins)

= 36 / 120

= 0.3

The probability of spinning blue on next spin is 0.3

Learn more : https://brainly.com/question/23044118

Answer:

I think it is y=25x

Step-by-step explanation:

Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.

Answer:

  y +4 = 1/5(x +5)

Step-by-step explanation:

The equation of a line with slope m through point (h, k) in point-slope form is ...

  y -k = m(x -h)

You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...

  y -(-4) = (1/5)(x -(-5))

  y +4 = 1/5(x +5)

Answer:

a goldish!

Step-by-step explanation:

Answer:

2 ferrets a dog and 2 cats

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

that sounds right anyway

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

X=3 because you would add 2 to seven Which equals 9. Then you would divide 9 by 3 which equals the answer 3.

Answer:

x - 6

took the assignment

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer: explain how to graph an equation in slope-intercept form.

Step-by-step explanation: To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer

I think it would be 2,850

Answer:

28.5

Step-by-step explanation:

0.12 x 28.5 = 3.42

That means he bought 28.5 ounces

Answer

9.5

Step-by-step explanation:

Answer:

D Because 0.44 is the same as 0.44 and -5.55 is less than 5.55 and -4.5 is less than 3.60 so it leaves out D

Answer:

D

Step-by-step explanation:

It is larger because the whole number -3 is greater than -4 and closer to 0

Option D is the correct answer, y = 3x + 7

The line is y=3x+7

Given that the point is (-3, -2) and slope=m=3.

Using the point slope formula we get:

[tex]y-\left(-2\right)=3\left(x-\left(-3\right)\right)\\y+2=3\left(x+3\right)\\y+2=3x+9\\y=3x+7[/tex]

The line is y=3x+7

Learn more: https://brainly.com/question/8806877

Answer:

m = (4/3)

Step-by-step explanation:

9 - 1

8 - 2

8/6 = 4/3

Answer:

21

Step-by-step explanation:

hope this helps.....

Answer:

k = 10

Step-by-step explanation:

The constant of proportionality of a graph in Mathematics is simply the ratio of y to x which can be called the slope.

It's given by; k = y/x

We are given; y = 30 and x = 3.

Thus;

k = 30/3

k = 10

Answer:

The answer of the question is -4

Answer:

-4

Step-by-step explanation:

Answer:

the answer is 32 S=32

Step-by-step explanation:

you have to find s right so you do 162-130 =32 or 130+32=162...

Answer: C

Step-by-step explanation: