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Katarina [22]
2 years ago
7

The table shows the difference d (in cents) of this year's average monthly gas price and the previous year's average monthly gas

price. For example, in month 1, d=-2. So, the average gas price was 2 cents below the previous year's gas price.
Explain how you know the table represents a function.
Graph the function and identify its domain and range.
What does a point in Quadrant IV mean in terms of this situation?
Mathematics
1 answer:
nignag [31]2 years ago
5 0

Answer:

.. gas price was 2 cents below the previous year's.

Step-by-step explanation:

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Find the value of x which ABCD must be a parallellogram?<br> x =
aev [14]
If\ ABCD\ is\ a\ parallelogram,\ then\\\\2x-1=x+3\ \ \ |add\ 1\ to\ both\ sides\\\\2x=x+4\ \ \ \ |subtract\ x\ from\ both\ sides\\\\\boxed{x=4}
3 0
3 years ago
How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
never [62]
There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80   (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
6 0
3 years ago
0.6% of 25 please help
Minchanka [31]
.6 * 25 = 15
.06 * 25 = 1.5
4 0
3 years ago
Read 2 more answers
A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be r
alex41 [277]

If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as nC_{r}=n!/r!(n-r)!

Number of license plates=26C_{1}*25C_{1}

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Learn more about combinations at brainly.com/question/11732255

#SPJ4

3 0
1 year ago
The last customer of the day calls telling you they purchased 96 meters of fencing to fence in a
Lilit [14]

Answer:

Area = 733 m² (to the nearest meter)

Step-by-step explanation:

<u></u>

<u>Formulae</u>

  • Circumference of a circle = 2\pir
  • Area of a circle =  \pir²

      (where r is the radius of the circle)

<u>Find the radius</u>

circumference = 96 m

Using the circumference of a circle formula:

⇒  2\pir = 96

⇒  \pir = 96 ÷ 2 = 48

⇒  r = 48 ÷ \pi = 48/\pi

<u>Find the area</u>

radius r = 48/\pi

Using the area of a circle formula:

⇒  A = \pir²

⇒  A = \pi(48/\pi)²

⇒  A = 2304/\pi

⇒  A = 733.3859778...

⇒  A = 733 m² (to the nearest meter)

6 0
2 years ago
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