ASAP!!! LOOK AT THE IMAGE FOR THE GRAPH AND ANSWER CHOICES!! PLEASE HELP URGENT!!
Answers
Answer:
The answer is D.
4x + y = 2
x - y = 3
____________
When given a graph with an intersection of two lines, first locate the y-intercept (the point where x = 0) of each line, and then find it's slope by evaluating its change in y over the change in x.
It is also possible to eliminate the incorrect systems using substitution when given a point of intersection.
For example, as the point of intersection is apparent on this graph, you can substitute these coordinates from the graph into each of the systems of equations given in the choice answers to verify it.
For it to be a solution, it must satisfy (make true) both equations of the system.
(a, b) : (x, y)
Given that (1,-2) is our point of intersection according to the graph.
Choice A is incorrect because (1, -2) → x + 4y = 3 → (1) + 4(-2) = 3 → 1 + (-8) = 3 →
1 - 8 = 3 → -7 ≠ 3.
And (1, -2) → x + y = 2 → (1) + (-2) = 2 →
-1 ≠ 2.
It is already incorrect as one of the
equations in this system do not satisfy the coordinate.
Choice B is also incorrect because
(1, -2) → x + 4y = 2 → (1) + 4(-2) = 2 →
(1) + (-8) = 2 → 1 - 8 = 2 → -7 ≠ 2.
And (1, -2) → x + y = 3 → (1) + (-2) = 3 →
1 - 2 = 3 → -1 ≠ 3.
Lastly, Choice C is incorrect because
(1, -2) → 4x + y = 3 → 4(1) + (-2) = 3 →
4 + (-2) = 4 - 2 = 3 → 2 ≠ 3.
And (1, -2) → x - y = 2 → (1) - (-2) = 2 →
1 + 2 = 2 → 3 ≠ 2.
Therefore D is correct because it is the last answer remaining.
Also here is proof:
(1, -2) → 4x + y = 2 → 4(1) + (-2) = 2 →
4 + (-2) = 2 → 4 - 2 = 2 → 2 = 2
So one equation fits the coordinate, but this cannot yet be verified as the working system unless both equations fit the point.
So (1, -2) → x - y = 3 → (1) - (-2) = 3 →
1 + 2 = 3 → 3 = 3
Now we can say that this is the working system.
_____________________________
The next method involves strong observation of the graph to find both equations in slope-intercept form and then back into standard form to find a match of the choice answers as both systems are in standard form (Ax + By = C)
With the first line, it has a y-intercept of 2 because this is where it crosses the y-axis when x = 0. It also has a slope of -4 because it goes down 4 units every 1 unit to the right. This means that the first line has an equation of y = - 4x + 2.
Slope intercept form is the form y = mx + b where m is the slope( rise over run/change in y over change in x) , and b is the y-intercept (where x = 0).
The next line has a y-intercept of -3 because this is where it crosses the axis, and where x = 0. This also has a slope of 1 because it rises by 1 every run or goes up 1 unit every 1 unit to the right. therefore the second line has an equation of y = x - 3.
Related Questions
66.4 mg = blank g
Plz helpppppp !!!!!
Answers
Answer:
0.0664
Step-by-step explanation:
divide the mass value by 1000
Solve the system:
x + 6y = 17
X - 3y = 8
Answers
Answer: y=1, x=11
Step-by-step explanation: make x in one side in an equation and substitute it in the other and get the value of y then substitute y in one of the equations and get the value of x
x= 8+3y
8+3y+6y=17
9y=9
y=1
X=11
pemdas? thank you!
(-12 ÷ 3) × 2 + 23
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( - 12 \div 3) \times 2 + 23 = [/tex]
[tex]( - 4) \times 2 + 23[/tex]
[tex] - 8 + 23 = [/tex]
[tex]23 - 3 - 5 = [/tex]
[tex]20 - 5 = 15[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please helpppppp NEED ANSWERS ASAP
Answers
Answer:
Step-by-step explanation:
if i new i would tell you but im haveing the same problem
Please anyone know the answer
Answers
Answer:
what is the question?
Step-by-step explanation:
i dont see it hehe
Answer:
What’s the point of teh question may be tell us what you need help with....?
Step-by-step explanation:
PLZ HELP ME IM desperate!!!!
When writing a rebuttal, what is the exact phrasing we use?
Answers
1) Always be polite and professional.
2) Specifically address the points that you disagree with.
3) Provide Evidence.
4) Close with a brief summary of your rebuttal.
Answer:
Although I believe ______, some may think that _______. However (evidence against their claim) shows that (explanation of evidence in 2-3 sentences)
17.34 , 17.04 , 17.7
from smallest to largest
Answers
Answer:
17.04, 17.34, 17.7
Add or subtract Write in simplest form.
-11/15 - 1/15
Answers
Answer:
- 4/5
Step-by-step explanation:
Step 1:
- 11/15 - 1/15 Equation
Step 2:
- 12/15 Add the negative numbers
Step 3:
- 4/5 Convert
Answer:
- 4/5
Subtracting from a negative number is the same thing as adding them together.
Hope This Helps :)
mother had 1 1/2 dozen of eggs in refrigerator. she used 1/3 of eggs. what part of the eggs was used?
Answers
Answer: 1/2
Step-by-step explanation:
1 1/2 = 3/2
1/3 * 3/2 = 1/2
You might no
Solve for
9.5 17
AND
13.2 25 1
Choose 1 answer:
-9x+5<17 AND 13x+25<-1
Answers
Answer:
x < -4/3x < -2Step-by-step explanation:
-9x + 5 < 17
~Subtract 5 to both sides
-9x < 12
~Divide -9 to both sides
x < -4/3
13x + 25 < -1
~Subtract 25 to both sides
13x < -26
~Divide 13 to both sides
x < -2
Best of Luck!
Need help with this problem:
There are two dog runs at the pet store. The first one is 11 3/8 feet long and the second one is 13 2/3 feet long. The owner of the store wants to increase the length of the first one by 4 1/2 feet. She wants to increase the length of the second one by 2 5/12 feet.
1. After the lengths of the dog runs are increased what is the length of the longer dog run?
2. How much longer is the longer dog run than the shorter dog run after the lengths are increased?
Answers
Answer:
1246
Step-by-step explanation:
jk get that work
In George’s classroom, there are 6 girls for every 2 boys. What is the ratio of boys to the total number of students?
Answers
Answer:
6;2
Step-by-step explanation:
Answer:
1:3
Step-by-step explanation:
I need help I don't understand it
Answers
It would be linear if it was 0 instead of -1.5
It’s not A 0.17 !!!!!
Answers
Answer:
0.25
Step-by-step explanation:
Use the following function rule to find f(1).
f(x) = (2)*
f(1) = |
Submit
Answers
A line has a slope of 2/3 while another line has a slope of -3/2 What can you conclude about the lines
Answers
Answer:
They are perpendicular
Step-by-step explanation:
If 2 slopes are negative reciprocals of each other, it means they are perpendicular
Answer:
The lines are perpendicular because they have opposite reciprocal slopes.
Step-by-step explanation:
What is the equation to this graph?!PLS HELP FAST
Answers
Answer:
8 dollars
Step-by-step explanation:
Answer:
y=[tex]\frac{3}{2}[/tex]x+3.5
Step-by-step explanation:
slope: 3/2
Y-intercept: 3.5
Find the area of this trapezoid
Answers
Answer:
sol: here
side a=4cm
side b=6cm
vertical length=6 cm
1/2×(4+6)×6
30 cm^2
Answer:
ok so i think its 30 MARK AS BRANLIEST BCUZ I SAVED YOU
Step-by-step explanation:
area is 1/2x6x(4+6)
then it is 3(10)
=30
what type of angles are these TWO angles?
answer choices:
adjacent angles
. linear pair
. vertical angles
.complementary angles
Answers
Answer:
linear pair.
Step-by-step explanation:
i know this because the angles are slightly. tilted unlike complementary and vertical angles.
hope this helps.
MY
LAST
QUESTION (NEED HELP ASAP) PLEASE!!!!
Answers
Answer:
The answer is A
Step-by-step explanation:
there are 135 teams in a soccer tournament. each team has 32 players. how many soccer players in all are in the league
Answers
Explanation: Since there are 35 players on a team, you must find out how many players there would be if it was 35 times more so it would be 135 x 32 = 4320
Choose the appropriate descriptor for the term gram per centimeter cubed .
mass
area
volume
density
Answers
Answer:
Density
Step-by-step explanation:
The gram per centimeter cubed is a unit of density in the CGS system, normally used in chemistry, defined as mass in grams divided by volume in cubic centimeters. The official SI symbols are g/cm3, g·cm−3, or g cm−3.
Please Help! Knowing the negative sign (–) also means "opposite", how do you we read this expression, -8 • 2?
Answers
Which symbol will make this multiplication sentence true?
0 × 4 > 0 × 9 or 0 × 4 = 0 × 9
thanks
Answers
Answer:
0 x 4 = 0 x 9
Step-by-step explanation:
Anything times 0 is 0 so they both equal 0
Which of the following could NOT be the measures of angle of a triangle?
Answers
B. 70-50-70
Explanation:
The sum of all interior angles in a triangle is equal to 180 degrees, and this is true for all triangles.
The sum of 70, 50 and 70 is 190, which means this cannot be the angle measures of a triangle.
I hope this helps!
I need help with this word problem it’s urgent please help.
Rubbing alcohol contains 70% isopropyl alcohol. Suppose you are adding 180ml of liquid that contains 45% isopropyl alcohol. How much liquid should be added of the higher concentration to obtain rubbing alcohol that is 70% isopropyl alcohol?
Answers
Starting with some solution of volume v and an alcohol concentration of 100c % , if you add 180 mL of 45% isopropyl to it, you get a mixture with a total volume of 180 mL + v.
Each mL of the starting solution contains c mL of alcohol. For example, if the concentration of the starting solution is 80% (so c = 0.8), then each mL contains 80% = 0.8 of one mL of alcohol.
Similarly, each mL of the added solution with 45% concentration contains 0.45 mL of alcohol.
You want the new solution to have a concentration of 70%, so that the ratio of the amount of alcohol in it to the total volume is 70%, meaning
cv + 0.45 (180 mL) = 0.7 (180 mL + v)
and you want to solve for v :
cv + 81 mL = 126 mL + 0.7v
cv - 0.7v = 126 mL - 81 mL
(c - 0.7) v = 45 mL
v = (45 mL) / (c - 0.7)
Judging by context clues, c lies somewhere between 0.7 and 1. (It can't be less than 0.7 because mixing this solution with any other solution of smaller concentration will never yield a solution of higher concentration.)
If, for example, c = 0.8, so that your starting solution is at 80% concentration, then you would need
v = (45 mL) / (0.8 - 0.7) = 450 mL
to be mixed with 180 mL of 45% solution to end up with 180 mL + 450 mL = 630 mL of 70% solution.
As another example, if you're mixing pure alcohol, so that c = 1, you would need
v = (45 mL) / (1 - 0.7) = 150 mL
to make a 180 mL + 150 mL = 330 mL batch of 70% solution. The fact that you would need less of a higher concentration solution is not surprising.
PLZZZZZ HELP ME WHOEVER ANSWERS FIRST CORRECTLY I WILL MAKE BRAINLIESTTTT
Answers
Answer:
1) 16
2) 35
3) 60 degrees
4) 72 degrees
5) (x+7)= 55 y= 70
Step-by-step explanation:
1) Special Triangle - All angles are 60 degrees, so that means all sides are the same length
2) You know that those two angles at the end are the same, so that means each of those side lengths are mirrored.
3) Special Triangle - Each side is the same, so all angles would be 60 degrees
4) You know that those two sides are the same, so their angles would be mirrored
5) You know that those two sides are the same, so their angles would be mirrored, to get 55 on both bottom sides. 55+55= 110 so, you'd need 70 degrees left to make it a triangle as all triangles are fully 180 degrees.
If the original quantity is 8 and the new quantity is 4, what is the percent decrease?
Answers
Answer:
50% decrease
Step-by-step explanation:
4/8×100
cancel out using 2
=1/2×100
=50%
Help I’m giving all my points for this question and brain will be given
Answers
Answer:
55,000
Step-by-step explanation:
Look at 40 on the x-axis and the y-axis. The line is inbetween 50 and 60 so the best answer would be 55,000
multiply (x-4)(x^2+5x+6).
Answers
Answer:
it's B
Step-by-step explanation:
your going to simplify x^{2}x+5xx+6x-4x^{2}-4\cdot5x-4\cdot6