substitution and elimination means that you need to use one equation and substitute it in place of some variable in the other equation.
Consider the above two equations.
Take equation 1, which is 4x-2y=22 => x=(22+2y)/4
substitute the x value gained above in equation 2.
so, 2((22+2y)/4)+4y=6
22+2y+8y=12 => 10y = -10 => y= -1.
Substitute y= -1 in x value obtained in the beginning.
So, x= (22 - 2)/4 => 5.
There fore, x= 5 and y= -1
Hope it helps.
The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)
taking another point (-1,5)
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)
b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1
Answer:
- The hikers carried 17.5 litres of water
- The Koshy family travled 34.5 km while visiting Delhi
Step-by-step explanation:
1-
Multiply 1.75 liters by 10 (the number of days there were hiking) : 17.5 litres
2-
Multiply 11.5 km by 3 (the number of days visiting Delhi) : 34.5 km
Answer:
(Choice C) 24+12R ≤100
$56
Step-by-step explanation:
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.
1)
Which inequality describes this scenario?
Choose 1 answer:
(Choice A) 12+ 24R ≤ 100
(Choice B) 12+24R ≥ 100
(Choice C) 24+12R ≤100
(Choice D) 24+12 ≥100
2)
What is the least amount of additional money Sofia can spend to get the sushi they need?
ans) ___ dollars
please solve fast !!!! thank you from advance :)
The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders
Sofia has ordered 24 pieces
Sofia needs 100 pieces
sushi comes in rolls
12 pieces per roll
= 12R
24 + 12R ≤ 100
(Choice C) 24+12R ≤100
B.
24 + 12R ≤ 100
12R ≤ 100 - 24
12R ≤ 76
R ≤ 76 / 12
R ≤ 6.33
Approximately 7 rolls
Sofia will order 7 more rolls
Each roll cost $8
R ≤ 7
7 × 8
= $56
16,24,32,40.48,56,64,72,80,88
