A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points) Source StylesNormal
Answers
Answer:
Intersect/Solution at (1, -2)
Step-by-step explanation:
Equation 1: y = 3x - 5
Equation 2: y = 6x - 8
Step 1 Mutliply each side of equations one by -2
New Equation 1: -2y = -6x + 10
New Equation 2: y = 6x -8
Add the Equations: -y = +2
Multiply each side by -1 and you'll get that y = -2
Plug in -2 to either equation: -2 = 3x - 5
add 2 to each side 0 = 3x -3
add 3 to each side 3x = 3
divide by 3 and you'll get that x = 1
Part A:The solution of the pair of the equation is,x=1 and y=- -2.
Part B: If the two equations are graphed, at point (1,-2) will the lines representing the two equations intersect.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
A pair of equations is shown below:
y = 3x − 5 -------1
y = 6x − 8 --------2
Substitute the value of y from the equation 1 into equation 2;
3x − 5=6x − 8
3x=-5+8
3x=3
x=1
Put the value of x in the equation 1;
y = 3x − 5 -------1
y=3(1)-5
y=- -2
Hence,the solution of the pair of the equation is,x=1 and y=- -2 and at point (1,-2) will the lines representing the two equations intersect.
To learn more about slope intercept form refer:
https://brainly.com/question/2503591
#SPJ2
Related Questions
A homeowner called in a painter to paint the bedroom walls and ceiling. The bedroom is 15 ft. long, 12 ft. wide, and 10 ft. high. The room has two doors each 3 ft. by 8 ft. and three windows each 3 ft. by 5 ft. The doors and windows do not have to be painted. A gallon of paint can cover 300 square feet. How many gallons of paint must he use?
Show all of your steps
Answers
Answer:
I think he will need around 5.69 gallons of paint
Step-by-step explanation:
Please help I don’t really how to do this.
Answers
Mallorie is measuring the rug in her bedroom with a yardstick. She gets 2 yards the first time she measures, then she gets 6 feet the second time she measures. Qhy are the lengths different and no picture included
Answers
Answer:
because the length and width are 2 different measurements
Step-by-step explanation:
Sandy says the graph could represent a person's walk from home to school. Why is Sandy's analysis incorrect?
A. The person does not walk at a constant rate.
B. The person walks to school and then returns home.
C. The person's distance from home decreases as time passes.
D. The person does not travel far enough to be going to school.
Answers
Answer:
C
Step-by-step explanation:
C: The graph shows that there is no movement for the first few minutes, and then the distance from home decreases (rather than increases).
Answer and explanation?
Answers
Letter C, E, and F: 2 8/10, 2.8, and 28/10
Step-by-step explanation: The shaded pillars/rectangles inside the squares account for the fractions. In this question, there are 10 pillars per square and 2 shaded in squares. Since there are two full squares, there are two wholes. In the third block, there are only 8 shaded. Because 8 out of ten are shaded, the fraction would be 8/10 (said as eight tenths). Overall, there are two wholes (the shaded squares) and 8/10 of a whole. Therefore, it is 2 8/10. 0.8 equals 8/10 (you can determine it by the way it is said ex: you would say “zero and ...” (and = decimal) “... eight tenths” or just “eight tenths” for .8, and 8/10 is said the same way). Since 2.8 and 2 8/10 are equal, 2.8 would also be an answer. 28/10 would be another correct answer because the two wholes/squares each have 10 pillars. In total, there are 20 pillars for the two wholes. If the 8/10 (8 out of 10) is added, the total would be 28/10. Hope this helps!
Help Please - Overdue - Volume -
Answers
I really don't get what I'm supposed to do...
Answers
Answer:
check below
Step-by-step explanation:
1. c = 68-27 = 41
2. t = 7.9+1.5 =9.4
3. a = 21*3 = 63
4. (multiply whole equation by 8) 8r+6=7, r=1/8
5. x = 25.2/4.2 = 6
6. b = 75/15 = 5
7. A. 6C = 99
B. C = 99/6 = $16.50
The solution represents the cost of one ticket.
Find the unknown lengths
Answers
Dont guess!
I will mark brainliest if its correct!
Answers
Answer:
C
Step-by-step explanation:
Try out the possibilities:
18/-2=-9
12/-2=-6
-6/3=-2
-6/-2=3
12/3=4
18/3=6
-9,-6,-2,-3,4,6
Hope this helps !
I am so bad at math so i need help
Answers
a) a+b=b+a
the commutative property of whatever number is it turned around
b) a * b= b*a
the commutative property of whatever number is it turned around
c) b+0=b
the additive property is whatever adds to zero is that number.
d) b*1=b
the multiplication property of one is whatever mutilply by 1 is that number.
Don't guess!
I will mark brainliest if its correct!
Don't answer if you don't know!
Also no links!
And show your work plz!
Answers
Answer: A 5
Step-by-step explanation:
20% * 25
= 0.2 * 25
= 5
She can expect to hit the bullseye 5 times.
Answer:
A. 5
Step-by-step explanation:
Regina throws 25 darts and hits the bullseye 20% of the time. So we would set up the equation as 0.20*25 (as we are looking for 20% of 25 and of means multiplication and 20% is 0.20). 0.20*5=5 so she can expect to hit the bullseye 5 times. Therefore, A is the correct answer choice.
Answer this quick!!!!
A $15.20 DVD. There is a 7% sales tax.
How much is tax?
What is the total cost?
Answers
Tax: $1.06
Total: $16.25
Total: $16.26
Question 5(Multiple Choice Worth 5 points)
(8.02 LC)
The coordinate grid shows the graph of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution?
A and D
C and D
A and C
B and D
Answers
Answer:
I think it is A and C
Select all the sets of three side lengths that will make a triangle.
Multiple select question.
A)
3, 4, 8
B)
7, 6, 12
C)
5, 11, 13
D)
4, 6, 12
E)
4, 6, 10
Answers
Answer:
C. and E.
Step-by-step explanation:
Can't tell you how I know but I believe this is correct.
To pass her test, Tori needs to answer at least 65% of the questions correct. If there were 60
questions and she got 42 correct, did she pass? All work MUST be shown to justify your
answer.
Answers
2) .65 • 60 = 37.2 questions need to be right
3) since she got 42 correct, that is greater than 37.2, so she passed.
OR
1) 42/60 = 0.7
2) 0.7 to a percent = 70%
3) since she got a 70% on the test, she passed.
Step-by-step explanation:
To obtain score of 80% on entire exam means the student have to answer
(80/100)×80 = 64 correct answers
Student have already answered 75% of the first 60 questions correctly meaning
(75/100)×60=45 correct answers from first 60 questions
Remaining correct answers s/he have to answer
64-45=19
So from remaining 20 questions s/he have to answer 19 correct questions that is
20 × (x/100) = 19
x = 19 ×(100/20)
x = 95%
help mee this is confusing I don't know what to do
Answers
Answer: this is telling you how many group or people there are for example in gruop b there is 2 out of 5
Step-by-step explanation:
I REALLY need help with this worksheet. it is due tonight and I really don't understand it
Answers
Answer:
Step-by-step explanation:
Basically, try finding the x and y intercept for each problem and then make those your coordinates!!
Step-by-step explanation:
1) So to answer these questions first plot the "b" value (which in number 1's case would be 3).
2) Go up three spaces on the graph. and that should leave you at the point (0,3) Plot this point.
3) Now go down 3 (-3x) and go over one point to the right(this should put you at point (1,1). Plot this point.
4) Move on to the next equation in number one. Go up three spaces on the graph.
5) Go down one and over one until you find that you have plotted a point in which both equations intercept (this point would be (0,3).
6)Repeat this process for the rest of the problems
someone help me with my math...no bias answers, please
Answers
Answer:
61.8m^2are
Step-by-step explanation:
3 times 9 = 27
you multiply that two more times because there are 3 of them. So now we have 54 m.
Now we find the area of the triangles
area = 1/2 base times height
1/2(2.6) * 3
1 * 2.6 * 3/2
2.6 * 3/2
7.8/2
3.9
3.9 times 2 because there two triangles
7.8 + 54 = 61.8 m^2
help plz i need it really quick
Answers
Answer:
20 messages per hour
Step-by-step explanation:
160 messages in 4 hours
160/4
= 20
20 messages per 1 hour
Answer: 2.08333333333 That should be the answer I think
Step-by-step explanation:
Solve: 2x + 3y+4
-7y=4x-8
Answers
Answer:
Step-by-step: 6+2y-=x 3+2x-=y
y
=
−
x
2
+
3
Mr. O’Reilly has a cup of coffee at a diner. The cup of coffee costs $1.25, and he leaves a 60% tip. How much does he leave for a tip?
anyone pls help
Answers
Answer:
.75
Step-by-step explanation:
Harmonee walks 3/4 of a mile to the store. As she walks, she stops every 1/4 mile to take a sip from her water bottle. How many times does she stop?
Answers
What is the simplified form of:
Answers
Answer:
A.
Step-by-step explanation:
4π√5 - 2π√5 ÷ 3√5
=2π√5 ÷ 3√5
root 5 cancels out
=2π ÷ 3
!! IMAGE ATTACHED !!
In the diagram, line GH is perpendicular to line IJ. What is the measure of angle 1?
A. 37°
B. 53°
C. 63°
D. 74°
Answers
Explanation: 37+53= 90 and it being perpendicular creates a right angle of 90 degrees
TJ is investing his birthday money in a savings account that pays 3% interest. If he invests $200, how much will he have at the end of 9 months?
A. $204.50
B. 450.00
C. 245.00
D. 540.00
Answers
Answer:
A. $204.50
Step-by-step explanation:
please help me asap please show work
Answers
( this is is to see how much money she makes per hour)
2. 250/14.666667 = 17.0454542
(this is to see how many hours she needs to work to make $250)
3. 17.0454542 rounded to the nearest whole number is 17 !
So 17 hours to make $250
Dont guess!
I will mark brainliest if its correct!
Answers
Answer:
J) V = (20 x 16 x 8) + (20 x 42 x 8)
P.S. the volume is 9280 units³
Step-by-step explanation:
PLEASE HELP ME WITH THIS. THANK U.
Answers
Answer:
B' is (2, 0) and C' is (7, 1)
Step-by-step explanation:
Compare A and A' and you see that you added 2 to X and 5 to Y. Now you simply apply this to B and C to find B' and C'
A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 5 had a mispriced item. If 1,000 people go to this store each day, how many people would you expect to have a mispriced item?
You would expect there to be people per day who have a mispriced item.
Answers
Answer:
100
Step-by-step explanation:
1000/50 = 20
5*20 = 100
A cell phone company charges a one-time activation fee, as well as a monthly service charge for a cell phone plan with unlimited minutes and data. The total cost is modeled by the function C(x) = 99 + 85x. Which statement represents the meaning of the function?
A. C(x) is the total cost, xis the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
B. C(x) is the total cost, x is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
C. x is the total cost, C(x) is the number of months of service, $99 is the one-time activation fee, and $85 is the service charge per month.
D. x is the total cost, C(x) is the number of months of service, $85 is the one-time activation fee, and $99 is the service charge per month.
Answers
Answer:
prob b
Step-by-step explanation:
tell me if i got it wrong if so i will try again :)