Question: Terri wrote the system of linear inequalities.
-3x - 3y > -18
-X<-y
Select all of the ordered pairs that are part of the solution set for this system of linear inequalities.
A: (-1,5)
B: (2, 4)
C: (3, 3)
D: (4.6)
E: (5,2)
Answer: A,b,d
I think it’s D.y2 +xy+x+3y+2
(Sorry if I’m wrong)
Answer:
X=the smaller
y=the larger
The bigger of two numbers is four more than the smaller, then:
y=x+4
one more than twice the smaller is the same as the larger, then
1+2x=y
We have the following system of equations:
y=x+4
y=2x+1
We solve this system by equal values method:
x+4=2x+1
x-2x=1-4
-x=-3
x=3
We find the value of "y"now:
y=x+4
y=3+4
y=7
the values of x and y are:
x=3
y=7
Step-by-step explanation:
Answer:
sqrt(65)
Step-by-step explanation:
|a+bi|
The absolute value of |a+bi| = sqrt(a^2+b^2)
|4+7i| = sqrt(4^2+7^2) = sqrt(16+49) = sqrt(65)
Answer:
number of minivans more than number of car = 30
Step-by-step explanation:
we have the rate of number of vehicles passed in one unit of time
Number of cars = 6
Number of trucks = 10
Number of SUV = 14
and number of minivan = 15
Total vehicle passed in one unit of time = 6+10+14+15 = 45 vehicle per unit time.
we can see the ratio of vehicles with each other can be given as:
6x+10x+14x+15x = 150
Now we can solve for x to get the number of cars and minivans in 145 vehicles.
or 45x = 150
or x = 150÷45 = 
so, number of cars in 150 vehicles = 6x = 6×
= 20 cars
number of minivan in 150 vehicles = 15x = 15×
= 50 minivans.
So, number of minivans more than number of car = 50 - 20 = 30