The substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation or elimination method.
From the information given;
3x + y = -2 ----- (1)
y = 2x +3 ----- (2)
By using substitution method, we will replace the value of equation (2) into equation (1), by doing so, we have:
3x + (2x + 3) = -2
3x + 2x + 3 = -2
5x + 3 = -2
5x = -2 - 3
5x = - 5
x = -5/5
x = -1
From equation (2), let's replace the value of x = - 1 into equation (2);
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).
Learn more about substitution method here:
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I was absentee and i dont know how to solve it help plz
Answer:
-1/3
i think.
Step-by-step explanation:
if it's to find slope
Answer:
m = -1/3
Step-by-step explanation:
There are two easy ways you can find the slope. The first one is using the rise over run method which is to first count how much you need to go up or down to get to the other point, and then how much you need to go forward. In this case you go down one, and forward three. This means its -1/3. You can also use the slope formula which uses the coordinates of each point. I attached it to this answer. (m representing slope)
If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?
what is 2/3 times 3/7
Answer: 2/3 time 3/7 it would be 6/21
Step-by-step explanation: because you would multiply bot the numerator and denominater.
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
at the vertex x = 4.5
Step-by-step explanation:
hope this helps! :)
Answer:
at the vertex x = 4.5
Step-by-step explanation:
6x−36x2/ 6x simplified
Answer:
1x-72
Step-by-step explanation:
-36x2= -72
6x-72/6x
6x/6x=1x
1x-72
Which answer shows the correct solution for 6x + 19x - 4 = 5(5x + 4)?
No solution
Infinitely many
One solution
Answer:
No solution
Step-by-step explanation:
25x-4=5(5x+4)
Distributive Property= 25x-4=25x+20
Solve for x
-4=20
Not possible so no solution.
Answer:
A
Step-by-step explanation:
6x + 19x -4 = 5(5x+4)
6x + 19x -4 = 25x+20
6x + 19x- 25x = 20+4
Combine Like terms
0 = 20 +4
0 = 24
0 = 24 = No solution
write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)
Factor
3x2- 2x - 5
*(3xpower of 2 -2x-5)**
Answer:
16
Step-by-step explanation:
3×2-2×-5=
6-(-10)=
6+10=
16
The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?
Answer:
Mr. Pham should expect about 45165 books to have no damage or minor damage.
Opposite rays form a:
O line
O ray
O point
O plane
5
Answer:
ray
Step-by-step explanation:
Crater Lake in Oregon is shaped like a circle with a diameter of about 5.5 miles
a. How far is it around the perimeter of Crater Lake
b. What is the area of the surface of Crater Lake?
Give a step by step explanation please
Answer:
The perimeter of a circle is calculated with 2πr
The r stands for radius. The radius is half of the diameter.
So r=2.25
Plug it in 2π(2.25)
It was simplify to 4.5π
Which would simplify down to 14.14 miles rounding to the nearest hundredth.
Help help help help help math math math
Check the picture below.
Answer:
x=33
Step-by-step explanation:
40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students were surveyed ?
Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:
375 x 2 = 750
Yi = 4.0 + 1.5Xi
a. Interpret the Y intercept, b0.
Answer:
Divide each term in Y i = 4 + 1.5 X i by i and simplify.
Y = − 4 i + 1.5 X
Step-by-step explanation:
2.5 kg rice at $1.90 per kg and 1.5 kg cornmeal at $2.92 per kg
Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38
Rice:
1kg costs $1.90
2.5kg will cost 1.90 * 2.5
--> $4.75
Cornmeal:
1kg costs $2.92
1.5kg costs 2.92*1.5
--> $4.38
a plumber receives $72 an hour. how much is she paid for 20 hours of work?
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
A group of students organized a car wash to raise money for a local charity. The students charged $9.99 for each car they watched.In 3.5 hours they washed 14 cars.at that rate how much money could they earn in 8 hours?
Answer:
First you would divide 12 cars by 3 hours to see how many cars get washed per hour
Then you know that 4 cars get washed in one hour so you multiply it by $5.00 because you want to see how much money they earn in one hour
After you know they earn $20.00 per hour you multiply that by 8 because you want to see how much money they earn in eight hours
So your final answer is $160 for washing cars in 8 hours
What is 5/8 divided by 1/4
Answer:
the answer should be 2.5
Step-by-step explanation:
when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5
How to test a function graphically
Answer:
Step-by-step explanation:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
that is known as the vertical line test
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
What is the value of 1/6 with an exponent of 0
(GIVING BRAINLIEST AND EXTRA POINTS) A multiplication expression with a product of 108,064 is shown below. What is the missing digit?
2
3
4
5
Answer: The missing digit is 2.
Step-by-step explanation:
4,912*22= 108,064
Q.
x ÷ 2 = 1.000.000.000
x = ?
x÷2=1.000.000.000
x=1.000.000.000×2
x=2.000.000.000
Check:
2.000.000.000÷2=1.000.000.000
let's find the value of x
x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000✅Find the x-intercepts.
y =
2x2 + 5x + 2/
x2 - 4x + 3
Answer:
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{2x^2+5x+2}{x^2-4x+3}[/tex]
[tex]0=\frac{(2x+1)(x+2)}{(x-1)(x-3)}[/tex]
[tex]0=(2x+1)(x+2)[/tex]
[tex]2x+1=0[/tex] and [tex]x+2=0[/tex]
[tex]x=-\frac{1}{2}[/tex] and [tex]x=-2[/tex]
For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n
Step-by-step explanation:
you know, a single side cannot be longer than the other 2 sides combined.
otherwise, the triangle cannot "close".
so, it starts with 12 cannot be longer than 5 + n.
therefore, n must be at least 7.
and n cannot be longer than 5+12 = 17
7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.
so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.
that is 9 positive integer values.
it took ken 2/8 hour to finish a puzzle ken told his mom how long it took with the fraction in simplest form how many hours did ken tell his mom
eighteen minus the product of 7 and a number, p.
Answer:
Step-by-step explanation:
18 - 7p = ?
can someone please help me i'm almost done with my work
Answer:
you are correct with the following question
PLS HELP ASAP PICTURE ATTACHED
Answer:
100000+)9(87)238388292838
Express sin U as a fraction in simplest terms.
S
12
13
5
U
Answer:
12/13
Sine is opposite over hypotenuse. The opposite side of U is 12 and the hypotenuse is 13, so the answer is 12/13
A jar contains 28 marbles. Half of the marbles are red. Half of the non-red marbles are white and the rest are blue. Todd chose a white marble at random and kept it. What is the probability that when Hosea now draws a marble it will also be white
Answer:
2/9
Step-by-step explanation:
28 marbles in all
"Half of the marbles are red."
28/2 = 14 red
"Half of the non-red marbles are white..."
14/2 = 7 white
"...and the rest are blue."
25 -14 -7 = 7 blue
"Todd chose a white marble at random... " -from the bag that has...
14 red 7 white 7 blue
"... and kept it."- so now the marbles left in the jar are...
14 red 6 white 7 blue
P (white) = Number of white marbles/ Total number of marbles = 6/27 = 2/9
