what are the solutions to the system of equations below 3y=x-2 y=-2x+4
Answers
The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of the equation:
3y=x-2 ..(1)
y=-2x+4 ...(2)
From the equation (2) take the value of y and plug in the equation (1)
3(-2x+4) = x -2
-6x + 12 = x - 2
7x = 14
x = 14/7
x = 2
Plug this value in the equation (2)
y = -2(2) + 4
y = 0
Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Related Questions
Which is in slope intercept form? Any fractions must be in simplest form.
A. 4y = -6x + 8
B. y = -6/4x+8/4
C. y = -3/2x+2
D. 6x + 4y = 8
Answers
Answer:
B and C are both in slope-intercept-form.
Step-by-step explanation:
Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.
Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).
I hope this helps. Please mark me brainliest!
Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?
help!!
Answers
⇒ open circle at (-2, 5) with a line to the left
⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)
⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)
⇒ closed circle at (2, -3) with a line to the right
Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043
Answers
Answer:
y=2
Step-by-step explanation:
due to diagram have done the steps in the image
(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Answers
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
Find AC.
brainly is forcing me to make this longer but its just that
Answers
Answer:
24.49 units
Step-by-step explanation:
It si NOT a right triangle, so you'll have to use law of sines
angle C = 180 - 45-75 = 60 degrees
30 / sin60 = AC / sin 45
AC = 30 * sin 45 / sin 60 = 24.49 units
G
Which represents the solution(s) of the graphed system of equations, y = -x² + x + 2 and y = -x + 3
5
4
3
2
←+
-5-4-3-2-1,
2 3 4 5
O (1, 2)
Next
Mark this and return
-2+
8 + 9
(1 21 and 10 21
X
Save and Exit
Answers
Answer: (1, 2)
Step-by-step explanation:
y = -x² + x + 2
y = -x + 3
1. Set the two equations equal to each other:
-x² + x + 2 = -x + 3
2. move one of the equations to the other side:
-x² + 2x - 1
3. Factor out a -1:
-1 (-x² + 2x - 1) = 0
x² - 2x + 1
4. Factor:
(x - 1)(x - 1)
x = 1
5. Plug in 1 to one of the equations:
y = -x + 3
y = -(1) + 3
y = 2
6. Write as coordinates:
(1, 2)
Solve this pls explain all steps for 22.5 = 1.5x
Answers
22.5 = 1.5x
x = 22.5/1.5
x = 15
hope it helps...!!!
Answer:
x = 15
Step-by-step explanation:
1.5x = 22.5
x = 22.5/1.5
assuming your finding x
Using basic geometry, solve sin 105°
Answers
Answer:
See below
Step-by-step explanation:
sin ( 60 + 45) = sin60 cos 45 + cos45 sin60
= sqrt3 / 2 * sqrt2/2 + sqrt2/2 * 1/ 2
sqrt6/4 + sqrt 2/ 4
(sqrt6 + sqrt 2) / 4
h(x) = (x2 − 49)(x + 4)
Answers
Answer:
h(x) = x³ + 4x² - 49x - 196
Step-by-step explanation:
h(x) = (x² - 49)(x + 4) <== distribute
h(x) = x²(x) - 49(x) + x²(4) - 49(4)
h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)
h(x) = x³ + 4x² - 49x - 196
Hope this helps!
Calculus, A) find the slope of the line
B) interpret the slope
Answers
Answer:
- [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Slope of the line indicate how fast ( or slow ) the line is going up or down
Please help me find the answer to:
12x^5 ÷ 3x^2
Answers
Find - 7.8 + (- 12) + (-82.3).
O 102.1
O – 102.1
0 -91.3
O-62.5
Answers
Answer:
-102.1
Step-by-step explanation:
When adding negative numbers, act as if you are subtracting that same number, but in its positive form.
So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1
Select all the correct answers.
If the measure of angle 0 is 2pi/3, which statements are true?
A. The measure of the reference angle is 60 degrees
B. Cos(0)= 3/2
C. The measure of the reference angle is 30 degrees.
D. Sin(0)= -1/2
E. Tan(0)= -3
F. The measure of the reference angle is 45 degrees.
Answers
The correct answers: tan 120= -√3.
The correct answer is (E)
What is an angle?Angles are the angles between bisecting lines or surfaces at or near their meeting point.
Given : [tex]\theta\\[/tex] = 2π/3
= 2*180/3= 120
So, First and the fourth statement is not correct.
and, cos 120= -1/2
sin 120= √3/2
So, B and D statement is also wrong
tan 120= -√3.
Hence, the only correct statement is tan 120= -√3.
Learn more about angle here:
https://brainly.com/question/7116550
#SPJ1
i need help with 8th grade math please hurry and correct answer please 40 points
Answers
Answer:
2664.3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 πr³
Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.
Answer:
v=59 m3 i think if it helps please mark brainliest
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answers
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.
Answers
Answer:
d= 4[tex]\sqrt{2}[/tex] or 5.66
Step-by-step explanation:
(-2,7) and (2,3)
d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]
d = [tex]\sqrt{16 + 16}[/tex]
d= 4[tex]\sqrt{2}[/tex] or 5.66
After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times
Answers
Answer:
Step-by-step explanation:
The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.
The more times you roll the dye the closer the experimental probability moves to the theoretical.
So the probability will get less than 25% and get closer to the theoretical 5%.
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
We have,
The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.
If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,
We can calculate the number of times a 20 was actually rolled as follows:
Number of times a 20 was rolled
= Observed probability × Number of rolls
= 0.25 × 200
= 50
So, out of 200 rolls, 20 were rolled 50 times.
Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.
The expected number of times a 20 will be rolled in 10,000 rolls is:
The expected number of times a 20 will be rolled
= Probability of rolling a 20 × Number of rolls
= 0.05 × 10,000
= 500
Therefore,
If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
(d) develop a questionnaire for the based on the research under the study (5 marks) QUESTION TWO (10 MARKS) A marketing company which specializes in the sale of mobile phones has engaged you to investigate into what influences customers in the purchase of its wide range of phones. In your analysis of your administered questionnaires, you performed a regression analysis of certain features and benefits of the phones on customer purchase. Use the summary of the regression output in table 1 to answer the following questions Table I Models Unstandardized Coefficients Standardized Coefficients Sig (Significant) B Standard error Beta (Constant) 1.06 727 0.000 Shape 0.124 0.091 495 Colour 0.217 319 0.003 Sine 0.323 0.069 018 0.020 Name -0.429 0.012 4.023 0.102 Dependent Variable: Customer Purchase Required a. At 95% confidence level, interpret your data with respect to the objectives of the study (3 marks) b. From the analyzed data, what recommendation(s) will you make to the marketing company? (3 marks) c. What would be your answer if the analysis was performed at 99% confidence level (3 marks) dWhich variable makes the greatest impact or influence on customer purchase
Answers
Answer:
wait who you again have we met before wait what
Step-by-step explanation:
I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys
what is 58.8 in word form
Answers
Answer:
It fifty-eight and eight tenths
Step-by-step explanation:
Answer: fifty-eight and eight tenths
Step-by-step explanation:
Which set of transtormations results in two polygons that are similar but not congruent?
Answers
Reason; Dilation changes the figure size to bigger or smaller so it is not congruent.
Translation, rotation and reflection transformations are congruent
can you help this is hard
Answers
Answer:
y=1/2x+1= A
y=-2x-4= C
x-2= E
y=-3= F
y=1/2x+3.5=B
I hope this helps
Step-by-step explanation:
Equation for a line perpendicular to 3y-9x=9 and passing through the point(-3,2)
Answers
Answer:
Step-by-step explanation:
3y-9x=9
3y-9x+9x=9+9x
3y=9x+9
y=3x+3
If a line is perpendicular to an equation, the slope is flipped.
So, 3x would equal to -3x.
The final equation is y=-3x+3
It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
4
3
- of a hour costs $9.00
4
2 hours costs $18.00
1 hour costs $12.00
1
2
hour costs $6.00
Answers
2 hours costs 6 dollars is the only statements that is true
--
simply add 3.00 to 3.00 because its 2 hours
or if it was half an hour simply add 1.50 because half of 3.00 is 1.50
A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?
Answers
Answer:
the dimensions of the rectangle are 34cm and 15cm
Step-by-step explanation:
proof:
p= (2 × 34) + (2 × 15)
=68 + 30
= 98
hope this helps!!
Answer: 34x15
Step-by-step explanation:
A rectangle
Knowing the properties of a rectangle, the opposite sides are equal and parallel.
Determine formula
Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k
Answers
PLEASE HELP ME
Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answers
Answer:
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
Step-by-step explanation:
Finding the solution of these 2 equations
y = -2x + 14y = 2x + 2Equating them :
-2x + 14 = 2x + 22x + 2x = 14 - 24x = 12x = 3Substitute in a equation to find y :
y = 2(3) + 2y = 6 + 2y = 8The solution is (3, 8).
The 1st explanation is the correct one.
How much should you invest at 3.7% simple interest in order to earn $70 interest in 11 months?
Answers
Step-by-step explanation:
in this condition we are given simple interest time and rate
so principal is missing so we should use the formula of principal that is
P=I×100/T×R
but we should convert that month in to years and we convert it by dividing it by 12.
A jar contains only dimes and nickels. The total number of coins in the jar is
15
. The total value of the coins is
$
1.00
. How many of each type of coin are in the jar?
Answers
Answer:
5 dimes and 10 nickels
Step-by-step explanation:
0.1d + 0.05n = 1
d + n = 15
d + 0.5n = 10
d + n = 15
0.5n = 5
n = 10
d + n = 15
d + 10 = 15
d = 5
Answer: 5 dimes and 10 nickels
Anybody know this? Please and thankyou!
Answers
Answer:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Step-by-step explanation:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
help me please i need help
Answers
Answer:
B. 11
Step-by-step explanation:
Hope this helps! ;-)
Answer:
11
Step-by-step explanation:
15-12/3
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
15-4 = 11
