1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IgorLugansk [536]
3 years ago
12

Help plz!!!!!!!!!!!!!

Mathematics
1 answer:
DedPeter [7]3 years ago
6 0
First part
Determine 2 points that pass through x + 2y = 5

(i) If x = 1
x + 2y = 5
1 + 2y = 5
2y = 4
y = 2

(ii) If x = 3
x + 2y = 5
3 + 2y = 5
2y = 2
y = 1

Two points that pass through this line are (1,2) and (3,1)

Second part
Determine 2 points that pass through 3x = 15 - 6y

(i) If x = 1
3x = 15 - 6y
3(1) = 15 - 6y
3 = 15 - 6y
6y = 15 - 3
6y = 12
y = 2

(ii) If x = 3
3x = 15 - 6y
3(3) = 15 - 6y
9 = 15 - 6y
6y = 15 - 9
6y = 6
y = 1

Two points that pass through this line are (1,2) and (3,1)

BOTH OF THE LINE pass through the same two points, that means the lines are the same because they overlap. Look at the attachment.

You might be interested in
The cost of a car rental is ​$42 per day plus 20 cents per mile. you are on a daily budget of ​$98. write and solve an inequalit
gayaneshka [121]
R= $42 rental cost per day
Mileage= $0.20 per mile
m= number of miles driven
Budget= $98 per day

EQUATION
$98> $0.20m + $42

SOLUTION
$98> $0.20m + $42
subtract 42 from both sides
$56> $0.20m
divide both sides by $0.20
280> m

They have to drive less than 280 miles per day to stay within their $98 budget.

SAME SOLUTION INEQUALITIES
Set up the equations with new numbers, substitute 280 for m and pick another variable to solve for. I chose to solve for total rental cost.

m= 280 miles per day
R= Rental cost per day

R> $0.10(280) + $50
R> $28 + $50
R> $78

Equation #1
$78> $0.10m + $50

----------
m= 280 miles per day
R= Rental cost per day

R> $0.18(280) + $44
R> $50.40 + $44
R> $94.40

Equation #2
$94.40> $0.18m + $44

ANSWER: 280> m; They have to drive less than 280 miles per day to stay within their $98 budget.

Equation #1: $78> $0.10m + $50
Equation #2: $94.40> $0.18m + $44

Hope this helps! :)
3 0
3 years ago
How many times does 1/14 go into 6 7/10
vovikov84 [41]

1/14 goes into 6 7/10, 93.8 times

8 0
3 years ago
Read 2 more answers
If you rotate triangle ABC 90 degrees counter- clockwise, where would the vertices of A'B'C' be located?​
7nadin3 [17]

Answer:

a at c place 45 degree b at a place 45 dgree cat b place 90 degree

8 0
3 years ago
The confidence interval for the water consumption of a certain plant is 5 gallons to 13 gallons per year. The level of confidenc
GarryVolchara [31]

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

8 0
3 years ago
Solve the inequality −4y + 6 < −14.
timama [110]

Answer:

y >5

Step-by-step explanation:

−4y + 6 < −14

Subtract 6 from each side

−4y + 6-6 < −14-6

-4y < -20

Divide by -4.  Remember to flip the inequality since we are dividing by a negative

-4y/-4 >-20/-4

y >5

5 0
4 years ago
Other questions:
  • Please Help, I can't figure out this problem
    8·1 answer
  • Markers spent 10 hours doing his homework last week this week you spent 11 hours doing homework he says that he spent 110% more
    7·1 answer
  • How are the functions y=x and y=x-3 related? How are their graphs related? (7 pa
    13·1 answer
  • The sum of two numbers is -11 one number is 161 less then the other find the number
    13·1 answer
  • Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 4.5%/year compounde
    5·1 answer
  • The profit function of a manufacturer, in dollars, when x units of a certain commodity are produced and sold is given by
    9·1 answer
  • What expression is equivalent to −24x+72?
    8·1 answer
  • Sam bought a Blu-ray disc for $20.00 plus sales tax of 8%.<br> What was the amount of tax paid?
    8·2 answers
  • 2.96 , 3 and 1/5 , 3.48 , 3 and 1/4 greatest to least
    12·1 answer
  • Solve For d.<br> d+ 4 = 16.21<br> d=12.21
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!