Public is advertising holiday cookie kits 4 for $22.00. How much is 1 cookie kit?

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

Answer:

do you want us to make a metaphor ?

Answer:

Who has that name?

Step-by-step explanation:

What's the question i'm really curious lol

Answer:3

3(4x+3)

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

6 +6=12

12+3=15

15+2=17

17+4=21

Answer:

a) [tex]-16t^{2}+64t\geq40[/tex]

b)[tex][2-\frac{\sqrt{6}}{2} , 2+\frac{\sqrt{6}}{2}][/tex]

(see attached picture for the number line)

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) [tex]h_{max}=64ft[/tex]

d) t=2s

Step-by-step explanation:

a)

Basically the ball will disappear when it is higher than 40 ft, so we can build the inequality like this:

[tex]-16t^{2}+64t\geq40[/tex]

this is because the function represents it's height, so when the function is greater than or equal to 40, then the ball will disappear.

b) to solve the inequality, first we need to turn the ≥ symbol to an = symbol and solve for t, so we get:

[tex]-16t^{2}+64t =40[/tex]

we can move the 40 to the other side of the equation so we get:

[tex]-16t^{2}+64t-40=0[/tex]

we can factor the equation so it's easier to solve, so we get:

[tex]-8(2t^{2}-8t+5) =0[/tex]

which simplifies to:

[tex]2t^{2}-8t+5=0[/tex]

and we can use the quadratic formula to solve this equation, so we get:

[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}[/tex]

so we get:

[tex]t=\frac{-(-8)\pm\sqrt{(-8)^{2}-4(2)(5)}}{2(2)}[/tex]

which yields:

[tex]2\pm \frac{\sqrt{6}}{2}[/tex]

and next we need to test the posible intervals to see which one makes the inequality true, the possible intervals are:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex]  for a test value of 0

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex][2+\frac{\sqrt{6}}{2},\infty)[/tex] for a test value of 4

so next we test each of the values in the original inequality and see if the inequality is true:

[tex](-\infty, 2-\frac{\sqrt{6}}{2}][/tex] for a test value of 0

[tex]-16(0)^{2}+64(0)\geq40[/tex]

[tex]0\geq40[/tex] false

so this is not an answer.

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex] for a test value of 1

[tex]-16(1)^{2}+64(1)\geq40[/tex]

[tex]48\geq40[/tex]

true, so this is an answer.

[tex][2+\frac{\sqrt{6}}{2}, \infty)[/tex] for a test value of 4

[tex]-16(4)^{2}+64(4)\geq40[/tex]

[tex]-16(16)+64(4)\geq40[/tex]

[tex]-256+256\geq40[/tex]

[tex]0\geq40[/tex]

false, so this is no answer.

So the answer is the interval:

[tex][2-\frac{\sqrt{6}}{2},2+\frac{\sqrt{6}}{2}][/tex]

This interval means that from about 0.78s to about 3.22s the ball will not be visible because it will be higher than 40 feet high.

c) In order to find how high Penelope kick the football, we must find the vertex of the parabola which is gotten when graping the given function (see attached picture)

so we can use the following formula to find the t-value for this maximum height:

[tex]t=-\frac{b}{2a}[/tex]

so we substitute the corresponding values:

[tex]t=-\frac{64}{2(-16)}[/tex]

which yields:

t=2s

next, we can substitute this time into the original function to find the maximum height, so we get:

[tex]h=-16(2)^{2}+64(2)[/tex]

which yields:

h=64 ft

d) We found the answer for d on the previous part where we got that t=2s

Answer:

None of the answers are correct.

Step-by-step explanation:

Maria's answer is incorrect:

1. "-1" is the y-intercept. 3x/4 is your rise/run.

2. Start from -1 on the y-axis.

3. Go up 3 units above, then 4 units to the right.

4. This leads up to being not on the line.

Peter's answer is incorrect:

1. "-1" is the y-intercept. -4x/3 is your rise/run.

2. Start from -1 on the y-axis.

3. Go down 4 units below, then 3 units to the right.

4. This leads up to being not on the line.

Answer:

(45,60,75)

Step-by-step explanation:

Because 45^2 + 60^2 = 75^2

                  5625 = 5625

Answer:

13

Step-by-step explanation:

Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!

Answer:

The answer is 13.

Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.

For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!

Hope this helps!

Answer:

[tex]y = \frac{x}{3} - 4[/tex]  

I hope this helps!

Answer:

8 I believe

step-by-step explanation:

Answer:

35.6%

Step-by-step explanation:

31/87(100)

3100/87

35.6%

Answer:

35,6%

Step-by-step explanation:

31/87 = 0,35632184

As a percentage: 35,632184%

Rounded to one deciman place: 35,6%

Answer:

$2656

Step-by-step explanation:

6.25% of $10,624 is $664, so that is the amount of interest every year.

$664 times 4 is $2656, so after 4 years $2656 will have been paid.

Answer:

12

Step-by-step explanation:

just substitute the value in the equation

Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:

''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''

So, I am solving based on this complete question.

Answer:

Please check the explanation.

Step-by-step explanation:

a. Write an equation that represents the situation.

As the cost and the number of guests are proportional.

So the equation of the form

[tex]y = mx[/tex]

Plug in the values y = 30 and x = 4 to find m

[tex]y = mx[/tex]

30 = m (4)

m = 30/4

    = 7.5

Now, substituting m = 7.5 in the equation y=mx

[tex]y = mx[/tex]

[tex]y = 7.5x[/tex]

b) Interpreting Slope

Given that the units for y are dollars, and the units for x are guests.

Thus, the slope 7.5 means it costs $7.5 per guest.

c) How much does it cost to provide food for 10 guests?''

We know the equation

[tex]y = 7.5x[/tex]

put x = 10

y = 7.5(10)

y = $75

Thus, it costs 75 dollars for 10 guests.

Answer:

i would like to help you but Im not really understand the question

Answer:4 and a half

Step-by-step explanation:

4 and a half

7.5 mph

3/4=.75 miles per 1/10 hour

.75x10=7.5

Answer:

3 = x

Step-by-step explanation:

To simplify this equation, combine like terms:

3 = x

Answer:

5x+4

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Answer:

The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.

Step-by-step explanation:

Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:

To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.

The explanation of the answer is now provided as follows:

The number of scooters can be calculated as follows:

Variable cost per scooter = $100

n = number of scooter = ?

Total variable cost = Variable cost per scooter * n = $100 * n = $100n

Total cost = Fixed cost + Total variable cost = $34,400 + $100n

Average cost per scooter = Total cost / n = $180 ................ (1)

Substituting the value for Total cost into equation (1) and solve for n, we have:

($34,400 + $100n) / n = $180

$34,400 + $100n = $180n

$34,400 = $180n - $100n

$34,400 = $80n

n = $34,400 / $80

n = 430

Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.

Answer:

points

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

3(7)-4x

3(7)-4(2)

21-8

=13