we have
----> inequality A
The solution of the inequality A is the interval ------> [-1,∞)
-------> inequality B
The solution of the inequality B is the interval ------> (-∞,7]
The solution of the compound inequality is
[-1,∞) ∩ (-∞,7]=[-1,7]
therefore
the answer in the attached figure
Answer:
B
Step-by-step explanation:
We are given:
We are going to put 4x in place of the second y since the first y equaled it:
So we can factored this equation:
This implies 2x=0 or x-2=0.
2x=0
Divide both sides by 2:
x=0
x-2=0
Add 2 on both sides:
x=2
If x=0 and y=4x, then y=4(0)=0 so we have (0,0) is an intersection.
If x=2 and y=4x, then y=4(2)=8 so we have (2,8) is an intersection.
X = -b +- sqrt(b^2 -4*a*c)/2a
x = (-10 +- sqrt(10^2 -4*3*-5) )/6
x = (-10 +- sqrt (100 + 60) )/6
x = (-10 +- sqrt (160) )/6
x= (-10 +- 4sqrt10)/6
x = (-5 +- 2sqrt10)/3
x = (1 +- sqrt(1-4*2*6))/4
x= (1+-sqrt(1-48))/4
x = (1 +- sqrt(-47))/4
x = (1 +- i* sqrt(47))/4
x = (-2 +- sqrt(2^2-4*5*5))/10
x = (-2 +- sqrt(4-100))/10
x =(-2+- sqrt (-96))/10
x = (-2 +- 4i sqrt6))/10
x = (-1 +- 2i sqrt6))/5
Answer: To find the domain, solve the inequality 4 - x > 0. x < 4. Thus, all numbers less than or equal to 4 represent the domain for this function. When trying to find the domain and range from a graph, the domain is found by looking at the graph from left to right.
Step-by-step explanation: your welcome! <3
"On Thursday Bernie's dog ate 1/4 lb more dog food than she ate on Wednesday."
That means that on Wednesday, the dog ate 1/4 lb LESS that it ate on Thursday.
"On Wednesday, the dog ate 1 1/3 times the amount of food she ate on Tuesday."
That means that on Tuesday, the dog ate 1 1/3 times LESS that it ate on Wednesday.
Now start with Thursday: "If Bernie's dog ate 1 3/4 lb food on Thursday"
On Wednesday it ate 1/4 lb less that that, so on Wednesday it ate
1 3/4 - 1/4 = 1 2/4 = 1 1/2
On Wednesday it ate 1 1/2 lb.
On Tuesday it ate 1 1/3 times less than on Wednesday. Now we divide 1 1/2 by 1 1/3.
Answer: It ate 1 1/8 lb of food on Tuesday.