The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
The given system of equations:
x + 2y = 1............(1)
-3x - 2y = 5..........(2)
This can be written in matrix form as shown:
[tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right][/tex]
Find the determinant of [tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right][/tex]
[tex]\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4[/tex]
[tex]\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12[/tex]
[tex]\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8[/tex]
[tex]x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3[/tex]
[tex]y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2[/tex]
The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:
x = -3, y = 2
Learn more here: https://brainly.com/question/4428059
Estimate.
245.7 + 5.8
Answer:
251.5
Step-by-step explanation:
5.8 = 005.8
245.7 + 5.8
= 245.7 + 005.8
= 251.5
Answer:
251.5
Step-by-step explanation:
245+5= 250
.7+.8 = 1.5
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Answer:
x + y =5 .......eqn (1)
x - y =3 .......eqn(2)
using substitution method
x + y = 5
-
x - y = 3
0 + 2y=2
y = 2/2
y = 1
substitute y in egn(1)
x + 1 = 5
x = 5-1
x = 4
then (x, y) = (4,1)
Which graph represents the solution set of the system of inequalities?
Answer:i think is A
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
x=21
Step-by-step explanation:
x=180°-159° (int angles, m//n)
=21°
A train travels 170 miles in 4 hours. The train is traveling at a constant rate of speed. How many miles per hour does the train travel?
Record your answer. Be sure to use the correct place value.
Answer:
42.5 mph
Step-by-step explanation:
170 miles/4 hours= 42.5 mph
Your Welcome!
Kayden Kohl
8th Grade Student
Answer:
42.5
Step-by-step explanation:
170 divided by 4
42.5 miles per hour
What are the zeros of the f(x)=x(x-9)
4. In the figure, points A, B, and Clie in plane Z. Which of the following postulates can be used to show that A and B are collinear?
O Through any two points, there is exactly one line.
O Through any three points not on the same line, there is exactly one plane.
O If two lines intersect, then their intersection is exactly one point.
o If two planes intersect, then their intersection is a line.
Collinear points are points that lie on the same line.
The postulate to prove that A and B are collinear is: (a) Through any two points, there is exactly one line.
From the question, we understand that:
A, B and C are in plane ZA and B are collinearFor A and B to be collinear, then:
A line must pass through A and B, in such a way that points A and B lie on that line
Because only one line can pass through any two points, the appropriate postulate to use is: (a) Through any two points, there is exactly one line.
Read more about collinear points at:
https://brainly.com/question/1593959
There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color
Answer:
13
Step-by-step explanation:
Because the problem says to make sure we have at least 3 candies of the same color, we have to think about the worst-case scenario. To get the worst-case scenario, we need to have the largest amount of candies taken before fulfilling the statement that 3 candies have the same color, so we take 2 black, 2 white, 2 green, 2 red, 2 blue, and 2 yellow candies. This sums to 12, and you have the worst case scenario here. But wait, you've picked only 2 of each candy. You have to pick one more candy to make sure you have 3 candies of the same color, so the answer is 12 + 1 = 13 candies.
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Answer:
how is this a math question lol
can someone see if i did them right?
Answer:
Yes your answer is right. You did well
-7x+3y=2 (find the ordered pair)
A. (1,3)
B: (-2,-4)
C. Both
D. Neither
What is the equation of the line through (7, -1) with slope -3?
Select one:
a.
y = 3x - 22
b.
y = -3x - 20
c.
y = -3x + 20
d.
y = -3x + 22
Answer:
y = -3x + 20
Step-by-step explanation:
Slope: - 3
b = -1 - (-3)(7) = -1 + 21 = 20
Answer this for 50 points
Answer:
This would be point M.
Step-by-step explanation:
Hope this helps!
Answer:
M
Step-by-step explanation:
(3.75, -2.25)
The first coordinate is the x coordinate which means left or right.
Since it is positive we go to the right 3.75 units
The second coordinate is the y coordinate which means up or down
Since it is negative we go down 2,25 units
The point is labeled M
what is the answer to: − 2 − 1 3 . 8 = − 8 − ( 6 + 1 )?
I spent all my points into this so give it your best shot
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Give it your best shot
Answer:
7
Step-by-step explanation:
This is the value of "f(x)" when "x = 0" .
In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?
Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.
Step-by-step explanation: The explanation is in the answer.
(-4x2 – 2x – 6) – (-7x2 – 2x – 2)
2
Step-by-step explanation:
:) hope its correct lol
11b.) How many students have
between 10 and 25 video games?
5
20
25
10
15
Number of video games
11c.) How many students have
fewer than 5?
Is there a graph or a chart for this question?
Please help. I don't know what I did wrong. I need help with #18. Below me is an image of the #18.
Answer:
m = -12
Step-by-step explanation:
everything is ok til the 3rd equation line
-15m - 30 = -12m + 6
-30 - 6 = -12m + 15m
-36 = +3m
-36/3 = m--------> 3 x -12 = - 36
-12 = m
ty again
In March, Isaiah and Freddie had the same amount of money in their savings accounts. In April, Isaiah deposited $210 into his account. Freddie increased the money in his account by 15%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in March?
Enter your answer in your box.
Answer:
let the amount deposited by each of them in march be m.
in April, Isaiah deposited 210$, this means the amount in his account became m+210
Freddie increased the amount by 15%, this means that the amount of money in his account became: m+0.15m
since both values are still equal, we will equate both equations and solve for m.
m+210 = m+0.15m
0.15m = 210
m = 1400$
Step-by-step explanation:
WILL MARK BRAINLIEST!
simplify −4x² y+5x+5−3x+4x² y−8
Answer
2x-3
Step-by-step explanation:
given:
−4x² y+5x+5−3x+4x² y−8
=−4x² y+4x² y+5x-3x+5-8
=2x-3
hope it helps!!
Let's simplify step-by-step.
(−4x2)(y)+5x+5−3x+4x2y−8
=−4x2y+5x+5+−3x+4x2y+−8
Combine Like Terms:
=−4x2y+5x+5+−3x+4x2y+−8
=(−4x2y+4x2y)+(5x+−3x)+(5+−8)
=2x+−3
=2x-3
Therefore the answer is 2x-3A square has an area of 112 in2. What is the side
length?
Answer:
a=10.5
a=A=112≈10.58301in
Robin works as a customer service representative. She knows that the
amount in dollars of her yearly bonus is represented by the expression - 1.25x + 651, where x is the
number of complaints customers had about her during the year. To find her bonus if she gets 12
complaints, she substitutes 12 for x. What should be her next step? What would her bonus be?
Answer:
multiply -1.25 x 12
Sense a negative and a positive will always be negative when dealing with multiplication you'll get -15
now -15 +651= 636
always take the sign of the biggest number.
Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6
Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2
Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true
Find the missing value thank youuu
“To find 623, I can just take the value of 613 then either multiply it by 12 or divide it by 2.” Do you agree with her? Explain why or why not.
Step-by-step explanation:
613 and 623 are very close values.
multiplying by 12 or a division by 2 changes the starting value drastically.
so, this cannot be right.
and dividing 613 by 2 also makes it even smaller. but to get 623 we need to make it bigger.
so, therefore, even without actually calculating the numbers, the statement is proven false.
58
4 25
What is the mixed number of decimals
Answer:
fun fact : by reading what i just right u just lost 5 sec of your life
Step-by-step explanation:
Write the equation of a line with a slope of 3 that passes through the point (3, -4) in point-slope
form. Then change to slope-intercept form.
Step-by-step explanation:
Point slope for can be written as [tex]y-y_{1} =m(x-x_{1} )[/tex]
Where your point used is ([tex]x_{1} ,y_{1}[/tex]) and your slope is m.
Here we get y-(-4)=3(x-3)
y+4=3(x-3)
For slope-intercept form just move the 4 to the other side.
y=3x-13
Need help asap pls pls pls
(D) {-4, -1, 0, 1, 4 }
is the correct answer