[tex]y +1 = 2x~~~...(i)\\\\y^2 = 3x -2~~~...(ii)\\\\\text{From equation (i):}\\\\y +1 = 2x \\\\\implies y = 2x -1~~~....(iii)\\\\\text{Substitute} ~y = 2x-1~ \text{in equation (ii):}\\\\(2x-1)^2 = 3x-2\\\\\implies 4x^2 - 4x +1 = 3x -2\\\\\implies 4x^2 -4x -3x +3 =0\\\\\implies 4x(x-1) -3(x-1)=0\\\\\implies (x-1)(4x-3)=0\\\\\implies x =1 ~\text{or}~ x = \dfrac 34\\\\\text{Substitute x = 1 in equation (iii):}\\\\y = 2 -1 =1\\\\[/tex]
[tex]\text{Substitute}~ x = \dfrac 34 ~\text{in equation (iii):}\\\\\\y = 2\left(\dfrac 34 \right) -1 = \dfrac 32 -1 = \dfrac 12\\\\\text{Hence,}\\\\(x,y) = (1,1)\\\\\text{And}\\\\(x,y) = \left(\dfrac 34 , \dfrac 12 \right)[/tex]
(4, -3); slope = -1
Answer:
y + 3 = - x + 4 or y = - x + 1Step-by-step explanation:
Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.
Use point-slope form:
y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4or
y = - x + 1Equation in point slope form
y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1He receives 35 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 55 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Omar can make to earn his first free movie ticket.
Answer:
8
Step-by-step explanation:
You want to watch 3 DVD's from a selection of 10. How many possible combinations of DVD's do you have
Answer:
210÷2=105
Step-by-step explanation:
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).
Answer:
(-1, -6), (7, 0) , and (11, 3)
Step-by-step explanation:
3x - 4y = 21 Solve the equation for y
3x - 21 = 4y
(3x - 21)/4 = y
Now use the ordered pair and find the true ordered pair
(-1, -6) [ (3)(-1) - 21]/ 4 ; (-3 -21)/4 ; (-24)/4 = -6 True
(7, 0) [(3)(7) -21]/4 ; (21 - 21)/4; 0/4 = 0 True
(11, 3) [(3)(11) - 21]/4; (33 - 21)/4; 12/4 = 3 True
(-3 ,3) [(3)(-3) - 21]/4 (-9 -21)/4 ; -30/4 = -7.5 No
4. Which of the following is the equation of a line that is perpendicular to a line that
goes through points at (-1,5) and (1, -3) and contains point (4, -4)?
A. y = - 4x - 5
B. y = - 4x - 3
C. y = 1/4 x - 3
D. y = 1/4 x – 5
Answer:
C. y = 1/4 x - 3
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME slope
Answer:
21. Same Line
22. Same Line
23. Perpendicular
24. Neither
25. Parallel
26. Neither
27. Neither
28. Neither
29. Perpendicular
30. Perpendicular
31. Neither
32. Perpendicular
33. Parallel
34. Perpendicular
35. Perpendicular (?)
36. Neither
37. Neither
38. Parallel
39. Neither
40. Parallel
Please solve correctly :)
Part C only!!!
Answer:
So, the average rate of change is 0.475.
Step-by-step explanation:
If n = 2, then f(n) = 8.82. If n = 6, then f(n) ≈ 10.72. Now, 10.72 – 8.82/ 6 – 2 = 1.9/ 4 = 0.475.
The distance around the edge of a circular pond is 88m. The radius,in meters,is?
Answer:
88/ 2π
Step-by-step explanation:
Find the values of x and y.
Answer:
Y = 69
X = 42
Hope this helps!
Help me with this very confused
Answer:
[tex] \frac{3 - 5x}{2} [/tex]
Step-by-step explanation:
Set g(x)=y
y=-2/5x+3
5y=-2x+3
2x=3-5y
x=3-5y/2
So g^-1(x)=
[tex] \frac{3 - 5x}{2} [/tex]
write an equation in
Slope-int form
m=9, b=4
Answer:
y=9x+4
Step-by-step explanation:
9 is the slope and 4 is the y-intercept, or the "b"
Help, I have no clue how to do this, My memory from 4th grade is bad ;)
Answer:
S=2
Step-by-step explanation:
the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.
9 Is greater than or equal to 7+2
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's simpify the inequality ~
[tex]9 \geqslant s + 7[/tex][tex]9 - 7 \geqslant s[/tex][tex]2 \geqslant s[/tex]So, the values equal to or less than 2 should be the required solutions ~
that is ~
[tex]s = 2[/tex]Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.
pa brainliest answer po
Please help me
Thank you x
Answer:
l think that the answer is 56576
As a project for math class, two students devised a game in which 3 black marbles and 2 red marbles are put into a bag. First the players must decide who is playing black marbles and who is playing red marbles. Then each player takes a turn at drawing a marble, noting the color, replacing the marble in the bag, and then drawing a second marble and noting the color before returning it to the bag. The point scheme for the game is detailed in the table below.
Point Values for Marble Game
Black Marble Points
Red Marble Points
Both black: +2 points Both red: +4 points
Different colors: –1 point Different colors: –1 point
Both red: 0 points Both black: 0 points
If Seth is challenged to a game by a classmate, which statement below is correct in all aspects in helping him make the correct choice?
Since E(black) = 0.24 and E(red) = 0.16, Seth should choose to play black marbles.
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one
Answer:
ez
Step-by-step explanation:
E(red) will be twice that of E(black), so Seth should choose to play red marbles.
Since E(red) = E(black), it is a fair game, so it doesn’t matter which color Seth chooses.
Both options will lose points because there are two ways to lose points and only one
what is the solution to this system of equations?
5x-y=40
y=2x-4
A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20
What is 13% of 50% of 329,500,000
Answer:
21417500
Step-by-step explanation:
Calculate 50% of the given amount then 13% of result
50% of 329500000
= [tex]\frac{50}{100}[/tex] × 329500000
= 0.5 × 329500000
= 164750000
Then
13% of 164750000
= [tex]\frac{13}{100}[/tex] × 164750000
= 0.13 × 164750000
= 21417500
What is the scale factor from ABC to XYZ?
A 1/5
B 1/6
C 5
D 6
Answer:
Is 6
Step-by-step explanation:
5X6=30
3X6=18
4X6=24
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice. How much of each ingredient would you need to make 100 quarts of punch?
Answer:
Step-by-step explanation:
Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice
So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water
⇒ For 100 quarts sparkling grape juice we require * 100 quarts of sparkling water
⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts
What is the mean absolute deviation (MAD) of the data set?
2, 6, 8, 12, 12
Enter your answer as a decimal in the box.
Answer:
2+6+8+12+12=40
40 divided by 5=8
6+2+0+4+4=16
16 divided by 5=3.2
MAD=3.2
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
I took the test
How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5
Answer:
[tex](2,1)[/tex]
Step-by-step explanation:
Let's first write down the first in traditional form:
[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]
At this point, let's choose the order we want to do it.
Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra
[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]
Eliminating y: Let's simply add the two equations together. Rest is simple algebra
[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]
What is 35 X (5 +150)=
Answer: 5425
Step-by-step explanation:
7/12 of £72!!!!
i really need the answer lol
Answer: Its ¨undefined¨ hope this helps !!
Answer: 42
Step-by-step explanation:
1/12 of 72 is 6
6x7 = 42
plss help i'll give 80 points!! no links please
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
Brainliest?
WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
Answer: The answer is C ( 4x + 3 = 39 )
Step-by-step explanation:
4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.
1) 4x + 3 = 39
2) 4x = 39 - 3
You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)
4) 4x = 36
5) x = 36/4
You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.
6) x = 9
You divided 36/4 which will equal to 9
7) 4(9) + 3 = 39
expand and simplify 4(x+3)+4(x+5)
Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?
Answer:
to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet
3x-9y=-7 ; 2y-6x=8 elimination
Answer:
x=-29/24
y=3/8
Step-by-step explanation:
3x-9y= -7 ---A
2y-6x= 8----B
multiply eq A by 2
6x-18y=-14
-6x+2y=8
Add both equations, so you eliminate x since 6x+(-6x) = 0
-18y+2y= -16y
-14+8=-6
so you have
-16y=-6
y=3/8
now substitute this back to eq B, (you can use eq A as well if you like)
2(3/8)-6x=8
3/4-6x=8
-6x=29/4
x=-29/24
How to find the limit of a function.
Answer:
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.
Step-by-step explanation: