Answer:
y = -4/3
x = 14/3
Step-by-step explanation:
2x+y=8
x-y=6
First of all, we need the same coefficient, so we can make both of these 2x by multiplying the second one by 2.
2x+y=8
2x-2y=12
Then we need to subtract equation 1 from 2.
3y=-4
Solve normally
y = -1.33333 / -4/3
Substitute
x - (-4/3) = 6
x = 14/3
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] \red {\mathbb{ \underline { \tt by \: elimination \: method \: s}}}[/tex]
2x+y=8________(i)x-y=6_________(ii)from equation (i):-
[tex]2x - y = 8 \\ x = \frac{8 - y}{2} [/tex]
put value of x in eq (ii)[tex]x - y = 6 \\ \frac{8 - y}{2} - y = 6 \\ \frac{8 - y - 2y}{2} = 6 \\ 8 - y - 2y = 12 \\ 8 - 3y = 12 \\ - 3y = 12 - 8 \\ - 3y = 4 \\ y = \frac{ - 4}{3} [/tex]
put value of y in eq (i)[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
now,
By elimination method:-[tex]2x + y = 8 \\ x - y = 6 \\ - - - - - - - \\ multiply \: eq \: (i) \: by \: 1 \\ and \: eq(ii) \: by \: 2 \\ \\ (2x + y = 8) \times 1\\ (x - y = 6) \times 2 \\ - - - - - - - \\2x + y = 8 \\ 2x - 2y = 12 \\ subtract \: these \\ 3y = - 4 \\ y = \frac{ - 4}{3} \\ [/tex]
put value of y in equation (i)
[tex]2x + y = 8 \\ 2x + ( \frac{ - 4}{3} ) = 8 \\ 2x - \frac { 4}{3} = 8 \\ \frac{6x - 4}{3} = 8 \\ 6x - 4 = 8 \times 3 \\ 6x - 4 = 24 \\ 6x = 24 + 4 \\ 6x = 28 \\ x = \frac{14}{3} [/tex]
Please help. Flow chart proof. I'll give brainliest
Answer:
Step-by-step explanation:
14. Explain why a step in solving the equation 4n = -36 is to divide both sides by 4. Then
solve the equation.
Answer:
Because you cant combine unlike terms. And the goal is to get X by itself.
-9 is the answer
Step-by-step explanation:
Can someone pleaseeee help me :(
Answer: x-5 / x
Step-by-step explanation:
because…
Answer:
[tex]\frac{x - 5}{x}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]
It can also be written as :-
[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]
[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]
Cancel x + 4 from numerator and denominator.
[tex]=> \frac{x - 5}{x}[/tex]
What is 33 1/3% of what number is 12
Answer:
36
Step-by-step explanation:
33.33333...% is 1/3 of a number
1/3 of 36 is 12
12(3)=36
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
rewrite in simplest terms: 5(0.9m+0.5)-3(0.4m+0.7)
Answer:
3.3m+1.4
Step-by-step explanation:
Multiply 5 and 0.9m
Multiply 5 and 0.5
5 times 0.9m is 4.5m
5 times 0.5 is 2.5
Multiply -3 and 0.4m
Multiply -3 and 0.7
-3 times 0.4m is -1.2m
-3 times -.7 is -2.1
4.5m+ 2.5 -1.2m-2.1
Which is 3.3m+1.4
Hope this helps!
Find x, the answer is 5 but how do I get it?
Answer:
x = 5
Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.
Step-by-step explanation:
2x + (3x + 2) + (4x + 1) = 48
9x + 3 = 48
x = 5
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answer:
The slope is 8
Step-by-step explanation:
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
9.
Identify the maximum value of the function y = −4x^2 − 24x + −36.
A. 3
B. 0
C. −36
D. −4
Answer:
B. 0
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 0 )
Question 7 of 10
If P(A) = 3/4, P(B)=1/2 , and P(AUB)=11/12 what is P(A n B)?
A. 1/3
B. 3/4
C. 3/8
D. 1/12
P(A n B) = P(A U B) - P(A) - P(B)
= 11/12 - 3/4 - 1/2
= (11 - 9 - 6)/12
= 4/12
= ⅓
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
Write a polynomial equation that has three real zeroes, and a y intercept of 250
Answer: Forget about imaginary roots.
Draw an x axis and a y-axis, at right angles.
Place a dot at y=250.
Place a dot at x=60 and place a dot at x=120.
Sketch a graph: in quadrant II, go left from the y-intercept of 250, downward and then curve upward before getting to the x-axis. You have created a local min in the 2nd quadrant.
In the first quadrant, curve smoothly fromthe y intercept down to 60 on the x axis, and continue toward the right and into the fourth quadrant, eventually curving upward and eventually crossing the x axis at 120. Continue upward indefinitely. You have created another local min, at about x=90.
The smooth polynomial curve will have a local max at(0,250).
Now y = a(x-60)(x-120)(x2+1) can represent this curve; it has two real zeros. Adjust "a" so that the y-intercept is 250.
Step-by-step explanation:
i hope this helps
A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answer:
7 - b > 8
Step-by-step explanation:
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
Read more:
https://brainly.com/question/18611326
Answer:
Step-by-step explanation:
9:15 15:25 6:10
100 points if u get this wrong ty!
Answer:
39 cm²Step-by-step explanation:
Area of trapezoid:
A = 1/2(b₁ + b₂)hSubstitute values:
A = 1/2(9 + 4)*6 = 39Answer:
39 cm²
Step-by-step explanation:
Area of a trapezoid: [tex]\frac{a_{1} + a_{2} }{2} h[/tex]
=> [tex](\frac{4 +9}{2}) 6[/tex]
=> [tex](\frac{13}{2} )6[/tex]
=> 13 x 3
=> 39 cm²
Hoped this helped.
About how many miles is 100,00 ft? HELP ASAP!
Answer:
18.939394miles
this is the correct answer happy
How would you write 12 as a Roman numeral?
Answer:
ⅠⅠⅩ
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
Therefore, 12 in roman numerals is written as XII = X + II = 10 + 2 = XII.
How to get slope from standard form.
Answer:
Solve the equation for y. See example.
Step-by-step explanation:
I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.
[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]
[tex]5y = - 3x + 15[/tex]
Now solve for y by dividing each term by 5.
[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]
Now simplify.
[tex]y = \frac{ - 3}{5} x + 3[/tex]
The slope is
[tex] - \frac{3}{5} [/tex]
i need help math hard
Answer:
15°
Step-by-step explanation:
(03.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) – 11?
A: The graph of y=f(x) will shift up 11 units.
B: The graph of y=f(x) will shift right 11 units.
C: The graph of y=f(x) will shift left 11 units.
D: The graph of y=f(x) will shift down 11 units.
Answer:
its letter C
Step-by-step explanation:
yan Ang answer for me
8.2x + 9y + 2(2.5x) + 10xy
plz Help
Answer:
13.2x + 9x + 10xyStep-by-step explanation:
=> 8.2x + 9y + 2(2.5x) + 10xy
=> 8.2x + 9y + 5x+ 10xy
=> 13.2x + 9y + 10xy
Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.
Find the perimeter. Simplify your answer.
Please help me!
50 points and brainliest for first correct answer
Triangle ABC is dilated by a scale factor of 3. Find the vertices of the new triangle DEF if the original vertices are A(-1, 1), B(2, 7) and C(3, -3).
What are the new coordinates?
Answer:
A(-3,2)B(3,7) and C(4,-4)
Step-by-step explanation:
these are the new coordinate
Work out the shaded area of this shape.
Answer:
look at the picture .................
A bacterial culture starts with 3000 bacteria and grows to a population of 12 000 after 3h. Determine the number of bacteria after 8 h.
Answer: 32000
Step-by-step explanation:
12000 divided by 3 =4000
4000 x 8 =32000
I need help on these two PLEASE!!
Answer:
22.
x=35
y=8
23.
x=30
y=50
Step-by-step explanation:
Can someone plz help I will mark Brainliest.
Answer: A( 148 meters )
Answer:
Choice A
Step-by-step explanation:
Using vertical angles, you know the side under the top 20 meters is also 24 meters. Then the most bottom side of the lower garden is 30 meters. You have 30+30+20+20+24+24=2(30)+2(20)+2(24)=2(30+20+24)=2(74)=148. Thus, choice is correct.
DUBS
Please consider giving a brainliest, because you did promise one ;)
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
-8 - (-3) find the sum
Answer:
Step-by-step explanation: