Answer:
-6 and -2
Step-by-step explanation:
Answer:
(1,2) and (2,-1)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line 
---->inequality B
The solution of the inequality B is the shaded area above the dashed line 
The solution of the system of inequalities is the triangular shaded area between the two dashed lines
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area
Two points in the solution are(1,2) and (2,-1)see the attached figure
Answer:
y = 60x + 22
262 miles
Step-by-step explanation:
Given that the car enters the turnpike at 22 miles, his initial starting point, or initial value (b) is 22. You also know the rate at which the car travels is 60 miles per hour, which is the slope (m). Using the slope-intercept formula of a linear function: y = mx + b, you can plug in your initial value and rate:
y = 60x + 22, where y = the total miles and x = the number of hours traveled
After 4 hours:
y = 60(4) + 22 = 240 + 22 = 262 miles
Coolio
lw=1000
lets assume that the aluminum sides are the legnth
2 sides
2*15=30
30l=cost of aluminum
steel=10w
wood=(w-10)5=5w-50
we can eliminate the w by solving for w in first relation
lw=1000
divide both sides by l
w=1000/l
sub that for w
10(1000/l)=steel
5(1000/l)-50=wood
wood cost+steel+aluminum cost=total cost
10(1000/l)+5(1000/l)-50+30l=1525
(10000/l)+(5000/l)-50+30l=1525
(15000/l)-50+30l=1525
add 50 to both sides
(15000/l)+30l=1575
times both sides by l
15000+30l²=1575l
minus 1575l from both sides
30l²-1575l+15000=0
factor
(15)(l-40)(2l-25)=0
set each equal to 0
l-40=0
l=40
2l-25=0
2l=25
l=12.5
the there are 2 possible combinations
aluminum=40yd and steel=25yd or
aluminum=12.5yd and steel=80ft
both yield 1000yd² and cost $1525
Answer:
C) [-4,0)
Step-by-step explanation:
Look at the endpoints. You have (-3,0) which isn't included in the function and you have (1,-4) which is included in the function.
We use interval notation when we are describing the subset of numbers in a function by using parentheses to show an endpoint is not included and brackets to show an endpoint is included.
In this case, since we are being asked to find the range of the function, that only pertains to y-coordinates.
Given that (1,-4) is included in the function, this means that y=-4 is included in the function. Therefore the answer's interval notation will start with a bracket to show it's included.
Given that (-3,0) isn't included in the function, this means that y=0 isn't included in the function. Therefore the answer's interval notation will end with a parenthesis to show it's not included.
Combining the two elements, we have an interval notation of [-4,0) which means C is the correct answer
