2x+ 4y =16 -2x- 3y = -6 solve this system of equations using the elimination method
Answers
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}[/tex]
See the attached picture! Let me know if you have any questions regarding my answer! ツ▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex] \small \sf \: x = - 12 \: \: and \: y = 10[/tex]
Step-by-step explanation:
2x + 4y = 16.
-2x - 3y = -6
Add both equation ;
[tex] \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} [/tex]
Therefore , y = 10
Substitute the value of y in the first equation
2x + 4 = 16
2 x + 4 × (10) = 16
2x + 40 = 16
subtract 40 from both side
2x + 40 - 40 = 16 - 40
2x = - 24
divide each side by 2
2x/ 2 = - 24 / 2
x = - 12
Related Questions
factorise m2+10m-24 please step by step
Answers
m^2+10m-24
=m^2+12m-2m-24
=m (m+12)-2 (m+12)
=(m-2)(m+12)
Answer:(m-2)(m+12)
if wrong correct me pls
I hope it helps mate
HAVE A GREAT DAY
#Liliflim
Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples
Answers
Here is one: PEMDAS
12- ( 6 + 3) - 19 x 1 divided by 1
I hope this helps
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answers
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
Ella stacks two boards under a table to make it level. One board is į inch thick. The
other board is inch thick. Which equation most closely estimates the thickness of
5
12
the two boards?
Answers
Step-by-step explanation:
the problem description is incomplete or wrongly copied.
we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.
The cost of 120 PSP is Dh 15000. Find the cost of one PSP
Answers
Answer:
125
Step-by-step explanation:
120 units cost 15000.
so, 1 unit is then the 120th part of the total costs.
price of 1 unit = 15000/120 = 1500/12 = 125
For breakfast one morning, mum made 10 rotis. Rahul ate 1 1/2 rotis, Priya ate 2
rotis and Aman ate 3 1/4 rotis.
1. How many rotis did the children eat in total?
2. How many rotis were left?
Answers
3 1/4 rotis were left
check: 6 3/4+ 3 1/4 = 10
btw i love rotis!!
Select all expressions equivalent to “-6z+(-5.5)+3.5z+5y-2.5.
*answer choices*
A.-8+5y+2.5z
B.-2.5z+5y-8
C.-8+5y+(2.5z)
D.2.5y+(-2.5z)-5.5
E.5y-8-2.5z
Answers
Answer:
B.) -2.5 z + 5 y - 8
Step-by-step explanation:
- 6 z + ( - 5.5 ) + 3.5 z + 5 y - 2.5
combine like terms
- 6 z + 3.5 z + 5 y -5.5 - 2.5
- 2.5 z + 5 y - 8
Please help me I need help no links please
Answers
Can I get the answer for 3 4 5 6
Answers
3) x=190, <BOC=85
4) x=177, <TOU=31
5) x=61, <LOM=110
6) x=55, <DOE=117
choose the appropriate postulate of the following pair lf triangles are congruent.
Answers
Answer:
ASA
Step-by-step explanation:
they share the side in the middle (reflexive property) and have two congruent angles
Can someone please help me? thank you
Answers
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
If f={(-1,-3), (1,1),(2,3),(4,6)} and g={(-1,-1),(1,7),(4,3)} what is (f+g)(4)?
Answers
Answer:
(f + g)(4) = 9
Step-by-step explanation:
We have that:
f = {(-1,-3), (1,1),(2,3),(4,6)}
this means that:
f(-1) = -3
f(1) = 1
f(2) = 3
f(4) = 6
and we also know that:
g = {(-1,-1),(1,7),(4,3)}
hich means that:
g(-1) = -1
g(1) = 7
g(4) = 3
Now we want to find:
(f + g)(4)
For the general case of two functions f(x) and g(x)
(f + g)(x) = f(x) + g(x)
Then:
(f + g)(4) = f(4) + g(4)
and we know both of these values, so we can just replace them:
(f + g)(4) = f(4) + g(4) = 6 + 3 = 9
Then we get:
(f + g)(4) = 9
Please guys answer me fast
Answers
Answer:
24 possible combinations in total,
just 3 that apply
{B,2},{B,4},{B,6}
one easy way to write the possibility is just
3/24 = 1/8 = 12.5%
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support capital punishment? Yes No No Opinion Number of individuals 40 60 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed. 12. Refer to Exhibit 12-1. The calculated value for the test statistic equals a. 2 b. -2 c. 20 d. 4 Answer: 13 Refer to Exhibit 12-1. The number of degrees of freedom associated with this problem is a. 150 b. 149 c. 2 d. 3 Answer: Refer to Exhibit 12-1. The p-value is a. larger than 0.1 b. less than 0.1 c. less than 0.05 d. larger than 0.9 Answer: Refer to Exhibit 12-1. The conclusion of the test (at 95% confidence) is that the
a. distribution is uniform
b. distribution is not uniform
c. test is inconclusive
d. None of these alternatives is correct.
Answers
Answer:
hvbiknbtUKvfnvghj
vhkbn
bhjn
bhmm
bhnm
hgg
bjj
bhj
can someone help asap
Answers
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
A line through the point (2,5) forms a right triangle with the x-axis
and y-axis in the 1st quadrant. Determine the equation of the line that
will minimize the area of this triangle.
Answers
9514 1404 393
Answer:
5x +2y = 20
Step-by-step explanation:
Suppose 'a' is the x-intercept of the line.
Then the slope is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(a -2)
And the y-intercept is ...
b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)
The area of the triangle is half the product of 'a' and 'b', so is ...
A = 1/2ab
A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)
The area is minimized when the derivative of this is zero.
A' = 2.5 -10/(a -2)^2 = 0
Solving for 'a' gives ...
(a -2)^2 = 10/2.5 = 4
a = 2 + 2 = 4 . . . . . . . . . . . x-intercept
b = 5 +10/(4 -2) = 10 . . . . . y-intercept
m = -5/(4 -2) = -5/2 . . . . . . slope
An equation of the line is ...
y = -5/2x +10 . . . . . slope-intercept form
5x +2y = 20 . . . . . standard form
__
You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.
Express the given set in roster form.
Answers
Answer:
E= { 13 , 14 , 15 , .........94 }Step-by-step explanation:
hope it may help u
please mark as brainlist
(๑˙❥˙๑)
Help me with this math
Answers
Answer:
5196
Step-by-step explanation:
So it's 5040+(-156)
We have to find the absolute value
|-156|=156
5040+156=5196
Question 3 (1 point)
3
A sample proportion is calculated from a sample size of 3. How large of a sample
would we need in order to decrease the standard error by a factor of 8?
1) 93
2) 51
3) 24
4) 192
5) 8
Answers
let f(x)=x-1 and g(x)=x^2+1
f(g)=___
Answers
Answer:f(g)=2
Step-by-step explanation:
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answers
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answers
Answer:
7 × 5 :2 it is the answer ,i love you
A bookshelf holds 5 sports magazines and 5 architecture magazines.
When 3 magazines are taken from the shelf at random, without replacement, what is the probability that all 3 are architecture magazines?
3/25
1/125
1/12
1/8
Answers
Answer:
1/12
Step-by-step explanation:
The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.
The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf
The third time, they have a 3/8 chance because they have already removed 2 magazines.
Multiply all of the probabilities together
5/10 * 4/9 * 3/8 = 60/720
Simplify:
60/60 / 720/60 = 1 / 12
Hope this helps!
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answers
Answer:
[tex]volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} [/tex]
Select the statement that represents all the solutions of the inequality. d < 7 all rational numbers equal to 7 all integers less than 7 all rational numbers greater than 7 all rational numbers less than 7
the answer is :
all rational numbers less than 7
have a good day <3
Answers
Aspongebob at the bottom of the sea
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Answer:
Step-by-step explanation:
anything 1-6
Sum of two numbers is 84. If one of the numbers exceeds the other by 12, the numbers are
Answers
Answer:
54 and 30
Step-by-step explanation:
84÷2=42-12=30
42+12=54
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answers
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
Which algebraic expression is a polynomial?
Answers
Answer:
the last one is a polynomial
Step-by-step explanation:
4x+9=41 x is equal to
Answers
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
5 bricks weigh 26 1/4 how much do 1 brick weigh
Answers
Answer:
5 1/4
Step-by-step explanation:
5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 + 5 1/4 = 6 1/4
