Solve each system of equations using substitution. Show all work.1) x + y = 1
2x - y = -2
2) 5x - 3y = -11
x - 2y = 2
3) x - y = 3
6x + 4y = 13
Answers
1.
x+y=1
minus x
y=1-x
sub
2x-(x-1)=-2
2x-x+1=-2
x+1=-2
x=-3
sub
y=1-x
y=1-(-3)
y=1+3
y=4
(-3,4)
2.
x-2y=2
add 2y
x=2y+2
sub
5(2y+2)-3y=-11
10y+10-3y=-11
7y+10=-11
7y=-21
y=-3
sub
x=2y+2
x=2(-3)+2
x=-6+2
x=-4
(-3,-4)
3.
x-y=3
add y
x=y+3
sub
6(y+3)+4y=13
6y+18+4y=13
10y+18=13
10y=-5
y=-1/2
sub
x=y+3
x=-1/2+3
x=5/2
(5/2,-1/2)
1. (-3,4)
2. (-3,-4)
3.(5/2,-1/2)
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52 minutes and 30 seconds + 27 minutes and 49 minutes + 4 hours and 13 minutes and 53 seconds + 4 hours and 44 minutes and 12 seconds equals
Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of shops selling the car. Make a graph and estimate the best number of shops at which the car should be sold, from the point of view of the manufacturer.
B. 0.007 to 0.017
C. 0.0125 to 0.0135
D. 0.0115 to 0.0125
Answers
Answer:
D. 0.0115 to 0.0125
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
Before we can find an answer for this question we should know what a margin of error is.
Margin of Error is the minimum amount of error allowed in a specific measurement. This exists because of the miscalculations that can happen.
Knowing the information above we can confidently say that the answer is D. 0.0115 to 0.0125 . This gives us a padding of error of 0.0005 over and under the actual value of 0.012.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answers
The price of the watch during the sale will be $ 24.86. Then the correct option is D.
What is the percentage?
The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
The regular price of a watch is $28.25.
During a sale, the watch was marked 12% off.
Then the price of the watch during the sale will be
Cost = $ 28.25 x (1 - 0.12)
Cost = $ 28.25 x 0.88
Cost = $ 24.86
Thus, the correct option is D.
More about the percentage link is given below.
#SPJ2
Answer:
D) $24.86
Step-by-step explanation:
You have to turn the percent into a decimal then divide.
-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m
Answers
-2m-5m-8=3+(-7)+m
-7m-8=-4+m or -7m-8=m-4
the second choice
also this choice
8 - 7m = -4 + m the fifth one
To solve this problem, we must simplify the the equation:
Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):
#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)
#2 -7m - 8 = -4 + m (Most Simplified Equation)
The answer your would be the 2nd one. -7m - 8 = m - 4
B. 60^2 − 40^2 = 3600 − 1600 = 2,000
C. 60^2 − 40^2 = (60 − 40)^2 = 20^2 = 400
D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000
Answers
Answer A has the squares multiplied out, then put into the formula, which is incorrect.
Answer B does not use this formula, as the squares are multiplied out and solved without using this method.
Answer C subtracts in terms of the power, which is completely wrong.
The answer is D.
Answer:
D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000
Step-by-step explanation:
Answers
3/9 gallons = 1 hour
3 gallons = 9 hours
1 gallon = 9/3 hours
Therefore, It will use 1/3 gallons of water each hour and will use 1 gallon in 3 hours
Answer:
First find out the how many gallons of water does it use each hour .
To prove
As given
An ice machine uses 3 gallons of water every 9 hours.
3 gallons of water = 9 hours
Water uses by ice machine in one hours = 0.33 gallons (Approx)
Now find out how many hours does it take to use one gallon .
As given
An ice machine uses 3 gallons of water every 9 hours.
3 gallons of water = 9 hours
Hours take by ice machine to use one gallons of water = 3 hours.
Answers
Answer: hello some part of your question is missing
Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.
Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?
answer:
One(1) unit vector ( < 5/√29, 2 /√29 > ) perpendicular to 〈−2,5〉
Step-by-step explanation:
let
u = < x , y > ∈/R^2 be perpendicular to v = < -2, 5 > ------ ( 1 )
hence :
-2x + 5y = 0
-2x = -5y
x = 5/2 y
back to equation 1
u = < 5/2y, y >
∴ || u || = y/2 √29
∧
u = < 5 /2 y * 2 / y√29 , y*2 / y√29 >
= < 5/√29, 2 /√29 > ( unit vector perpendicular to < -2, 5 > )