Rewrite the function by completing the square.
h(x)=4x^2-36x+81
​

Answer: $122.19

Step-by-step explanation:

Hi, to answer this, first we have to calculate the additional KB that Astrid used:

KB used- KB limit=

6,978-5,000 = 1,978

Then, the cost of the plan is equal to a fixed fee (49) plus the product of the number of additional KB over 5,000(x) and the cost per KB (0.037).

Cost = 49+ 0.037 x

Substituting x =1,978

C = 49+ 0.037 (1,978)

C =49+73.186

C=$122.19

Feel free to ask for more if needed or if you did not understand something.  

Answer:

(0,3)

Step-by-step explanation:

Answer:

(6n+7)(n+1)

Step-by-step explanation:

Use the cross-multiplication method:

[tex]6n^2 + 13n + 7=(6n+7)(n+1)[/tex]

Answer:

(6n+7)(n+1)

Step-by-step explanation:

6n^2 + 13n + 7

Must multiply to 42 and add to 13:

7 and 6

(6n^2+6n)(7n+7)

6n(n+1)7(n+1)

(6n+7)(n+1)

Hope this helps! Please mark brainliest :)

Answer:

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5(x-25) = 7

Multiply each side by -5/1 to clear the fraction

-5/1* -1/5(x-25) = 7*-5/1

x-25 = -35

Then add 25 to each side

x-25+25 = -35+25

x = -10

The paperclip is a typical example of something with a mass of about a gram.  The other items are significantly more massive.   I'm in the US so I remember there are 28 grams in an ounce and 454 grams in a pound.  

Answer: paperclip

Answer:

$ 7,299.92

Step-by-step explanation:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Answer:

each side is by 5

False, -4(X - 5) would be -4x + 20.

Answer:

Herb-Catherine-Amy

Step-by-step explanation:

Answer:

Herb-Catherine-Amy

Step-by-step explanation:

Answer:

38 ft

Step-by-step explanation:

Let x  and (3x+2) represent the width and length respectively:

L + W = P/2 = 100/2 = 50

 (3x+2) + x = 50

     4x = 48

      x = 12ft, the width, the length is 38ft

Answer: Kiyo only accounted for one side of the path when creating his equation. There are 2 feet of path on each side of the garden, meaning there should be 4 extra feet added to each expression multiplied.

Step-by-step explanation:

The rectangular path surrounding the garden is 2 feet on each side.

The length of the garden is represented by 3x, but when the length of the path is included, there is 2 feet of path on the left of the garden and 2 feet of path on the right.

Due to this, Kiyo made the mistake of only including 2 feet instead of the full 4 of the path by only accounting for one side of the path.

The correct equation is:

[tex]f(x) = (x+4)(3x+4)[/tex]

Answer:

17 yards

Step-by-step explanation:

Start= 0

0-5=-5 (lose 5 yards)

-5+32= 27 (gain 32 yards)

27-10= 17 (lose 10 yards)

Answer: honestly, I don’t know. This is a bot.

Step-by-step explanation: bbbbrrididjejejdidiekkekskdkd

We have been given that that function [tex]y=3(x-5)^2[/tex] is obtained from the graph of [tex]y=x^2[/tex]. We are asked to find the two transformations that can be used to obtain the transformed function.

We will use transformation rules to solve our given problem.

[tex]f(x-a)\Rightarrow\text{Graph shifted to the right by a units}[/tex], where a is any positive number.

We can see that the value of a is 5 for our given function, therefore, graph is shifted to right by 5 units.

Now we will use scaling rules.

[tex]f(x)\Rightarrow a\cdot f(x)[/tex]

If [tex]a>1[/tex], then function is stretched vertically by a factor of 'a'.

If [tex]a<1[/tex], then function is compressed vertically by a factor of 'a'.

We can see that value of a is 3. Since 3 is greater than, so function will be stretched vertically by a factor of 3.

Therefore, the function can be obtained by a vertical stretch and translation of 5 units to right and option J is the correct choice.

Answer:

opposites

Step-by-step explanation:

Answer:

The mean of the temperatures is 13.5 without the outlier.

Step-by-step explanation:

To find the mean, you add all of the numbers in your data set and divide that  by how many numbers you added.

Before we do this, we must first identify the outlier and remove it from our calculations since it is asking us to find the mean without it. 41 is the outlier because it is a considerably larger number than the other numbers in the data set.

Equations: 11 + 11 + 13 + 14 + 15 + 17 = 81

                  81 ÷ 6 = 13.5

Answer: 1120

Step-by-step explanation:

20/5=4

280x4=1120

Answer:

rational

Step-by-step explanation:

it can be expressed as a fraction

Answer:

Rational

Step-by-step explanation:

Irrational numbers continue to go on forever and cannot be written as a fraction

Answer:

b) 7 sheep and 14 chickens - 7x4=28 and 14x2=28 --- 28x2= 56

Answer:

3x³+6x²-9x

Step-by-step explanation:

3x * x² = 3x³

3x * 2x = 6x

3x * -3 = -9

3x³ + 6x - 9

* means times

im in year 9 / 8th grade so if im wrong sos x

Answer:

3/8 inches

Step-by-step explanation:

The postcard must be less than 4 1/2 inches high.

Elayne's postcard is 4 7/8 inches high.

We need to subtract the limit from the height of her postcard to know how high it is above the limit:

4 7/8 - 4 1/2 = 3/8

Her postcard is higher than the limit by 3/8 inches.

The answer is 3/4 or 1 1/2 inches.

Answer:

No, the correct answer is 13/45

Step-by-step explanation:

Find the greatest common factor and change the equations

8/9 -> 40/45

3/5 -> 27/45

40/45 - 27/45 = 13/45

13/45 is the correct answer

Answer:

a) Radius: ML

b) Diameter: NQ

c) Chord: OP

d) 18 units

Step-by-step explanation:

Answer:

Bees dont comanly eat flowers. They take the pollen and necture inside the flower to polenate OTHER flowers.

Step-by-step explanation:

most bees use pollen and nectar as a food source. Worker bees gather both pollen and nectar from flowers to feed to the larvae and other members of the colony.

Hope this helps a little

Answer:

Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them

Step-by-step explanation:

Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

4 x 5-10+30-20+30-25+5                     BODMAS

20+20+10-20

50-20

30

Answer:

[tex]141.37cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3^2*5\\=141.37cm^3[/tex]

A. 5×2×8×10

The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.

Have a great day (:

Answer:

I think it’s B (I’m not sure if I’m right)

Step-by-step explanation:

Answer:

15504 different groups

Step-by-step explanation:

We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.

The formula for combination is:

C(n, p) = n! / (p! * (n-p)!)

In this case, we have n = 20 and p = 5, so:

C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504

So we have 15504 different groups.

Answer:

3 hours

Step-by-step explanation:

Since it will take the sprinkler 12 times longer to mow the entire lawn than 1/12 of it, it will take 1/4*12=3 hours, or the last answer choice. Hope this helps!

Answer:

B. -2

Step-by-step explanation:

Simply plug 3 into the equation and follow the order of operations.

2(3 - 4) + (3(3)) - (3^2)

2(-1) + (9) - (9)

= -2