(1)Draw the "y" line . It goes up and down.
<span>Make sure to mark the centimeters or quarter inches with little nobs. </span>
<span>Start at -20 and go to 10 </span>
<span>(2)Draw the "x" line. it goes side to side. </span>
<span>place the x line at the zero point of the y line. I'm sure you will see your paper looks like the letter "t". Perfectly at a right angle. you could use the corner of a book to square it. </span>
<span>Now for the maths 5x - 4y = -18. The most important symbol here is the "=" sign. </span>
<span>(3) rearrange the equation so that y is on one side of "=" and x is on the other side. </span>
<span>Remember if you add 10 to one side the of "=" , then for it to be equal, add 10 to the other. side also </span>
<span>so add 4y to both sides. add 18 to both sides . divide the whole of each side by 4. </span>
<span>5x - 4y + 4y + 18 = -18 + 4y + 18 </span>
<span>1.25x + 4.5 = y </span>
<span>(4) now write down on a peace of scrap paper, x=1, y= 5.75, x=2 y= ___ , x=3 y= ___ </span>
<span>(5) remember BEDMAS, and put 1 in the place of x and calculate what y is . </span>
<span>(6) get your ruler , line up x = 1 (ruler is going up and down) and draw a spot on what y = . Get two rulers if you must. </span>
<span>(7) </span>
<span>hey presto, you got your three points on a graph.</span>
Answer:
(x+3)( 3x^2 +5)
Step-by-step explanation:
3x^3+9x^2+5x+15
Split into two groups
3x^3+9x^2 +5x+15
Factor 3x^2 out of the first group and 5 out of the second group
3x^2 ( x+3) + 5(x+3)
Factor out x+3
(x+3)( 3x^2 +5)
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
Answer:
<u>131 seats</u> are in the 30th row.
Step-by-step explanation:
The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.
Now, to find the number of seats in the 30th row.
So, we get the common difference(
) from the arithmetic sequence first:

Thus,
So, the first tem
= 15.
The number of last row (
) = 30.
Now, to get the number of seat in the 30th row we put formula:





Therefore, 131 seats are in the 30th row.
Parallelogram as well as a quadrilateral with pairs of equal and parallel opposite sides