Classify the system of equations.
-3x = 3 - y
-1+y= 3x – 2
A. Intersecting
B. Parallel
C. Coincident
Answers
============================================================
Explanation:
Solve each equation for y. In other words, get y by itself
Let's start with the first equation
-3x = 3 - y
-3x - 3 = -y
-y = -3x-3
y = 3x+3
Do the same for the second equation
-1+y = 3x-2
y = 3x-2+1
y = 3x-1
The two equations we got were
y = 3x+3
y = 3x-1
Both have the same slope (m = 3) but different y intercepts, so we have parallel lines here.
Related Questions
A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate. Of calories per cup? How many calorie are there in 3 cups.
Answers
Answer: 384 calories
Step-by-step explanation:
Answer:
7335
Step-by-step explanation:
Identify the intervals on which each quadratic function is positive. Part 2
4. y = -x^2 + 4x + 12
5. y = 2x^2 + 12x + 18
6. y = 5x^2 - 3x - 8
Answers
Answer: 4) (-2, 6)
5) (-∞, -3) U (-3, ∞)
6) (-∞, -1) U (8/5, ∞)
Step-by-step explanation:
Find the zeros.
When the a-value is positive, the curve will be positive to the left of the leftmost zero and to the right of the rightmost zero. + - +
←---|----|--→
When the a-value is negative, the curve will be positive between the zeros.
- + -
←---|----|--→
4) y = -x² + 4x + 12
y = -(x² - 4x - 12)
y = -(x + 2)(x - 6)
0 = -(x + 2)(x - 6)
0 = x + 2 0 = x - 6 -- + --
x = -2 x = 6 ←------|-----------|--------→
-2 6
Positive Interval: (-2, 6)
5) y = 2x² + 12x + 18
y = 2(x² + 6x + 9)
y = 2(x + 3)(x + 3)
0 = 2(x + 3)(x + 3)
0 = x + 3 0 = x + 3 + +
x = -3 x = -3 ←---------|----------→
-3
Positive Interval: (-∞, -3) U (-3, ∞)
6) y = 5x² - 3x - 8
y = 5x² + 5x - 8x - 8
y = 5x(x + 1) - 8(x + 1)
y = (5x - 8)(x + 1)
0 = (5x - 8)(x + 1)
0 = 5x - 8 0 = x + 1 + -- +
x = 8/5 x = -1 ←------|-----------|--------→
-1 8/5
Positive Interval: (-∞, -1) U (8/5, ∞)
1. There are 60 players on a football team.
2/3
of the players are offensive players.
1/12
of the players are special teams players.
The remaining players are defensive players.
Each team member is either offensive, defensive, or special teams player. How many players are defensive player?
Answers
Answer:
3/12 players are defensive
Step-by-step explanation:
have to change demonitar to 12 so 3x4=12 so 2x4= 8
then 8+1=9 so 9/12
then 9-12=3 so 3/12 is the amount of defensive players
10.9 + (-15.6) + 2.1 write as a decimal
Answers
Answer:
-2.6
Step-by-step explanation:
10.9 + (-15.6) becomes 10.9 - 15.6 which equals -4.7. The last step is to add the 2.1 to the -4.7: -4.7 + 2.1 = -2.6
Therefore the answer is -2.6
The value of the expression 10.9 + (-15.6) + 2.1 will be negative 2.6.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The expression is given below.
⇒ 10.9 + (-15.6) + 2.1
⇒ 10.9 - 15.6 + 2.1
⇒ 13 - 15.6
⇒ - 2.6
The value of the expression 10.9 + (-15.6) + 2.1 will be negative 2.6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Ivan began dividing g2 – 6 by g + 1, noting that . He started by placing g in the quotient, as shown below.
What is g2 – 6 divided by g + 1?
g – 1 –
g + 1 –
g – 7 +
g – 5 +
Answers
Answer:
g − 1 −( 5/ g + 1 )
Step-by-step explanation:
g − 1 −( 5/ g + 1 )
Answer:
a) g – 1 – 5/g+1
Which is not a true statement about the transformation shown below?
1. The two figures are congruent.
2. The image was translated down then to the right
3. The orientation of the vertices did not change.
4. The shape was rotated about the origin
Answers
Which of the following relations is a function?
A.
{(8,3),(8,0),(-8,13),(-8,17)}
B.
{(6,11),(-8,7),(6,4),(9,5)}
C.
{(-12,1),(4,9),(-12,8),(-4,15)}
D.
{(5,9),(-7,3),(-5,11),(7,9)}
Answers
Answer:
D
Step-by-step explanation:
Because in D, there no x-value that are repeating in the list.
For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.
Answer:
d
Step-by-step explanation:
In an article about disinflation, various investments were examined. The investments included stocks, bonds, and real estate. Suppose that a random sample of 200 rates of return on real estate investments was computed and recorded. Assuming that the standard deviation of all rates of return on real estate investments is 2.25%, estimate an interval for the mean rate of return on all real estate investments with 95% confidence
Interpret the estimate.
Answers
Answer:
Step-by-step explanation:
Using the formula for calculating the confidence interval to estimate an interval for the mean rate of return on all real estate investments with 95% confidence;
Confidence Interval = xbar±(Z*S/√n)
xbar is the mean = 20%(assumed since we are not given)
n is the sample size = 200
S is the standard deviation = 2.25%
Z is the Z score at 95% confidence interval = 1.960
Confidence Interval = 20±(1.96*2.25/√200)
Confidence Interval = 20±(1.96*2.25/14.14)
Confidence Interval = 20±(1.96*0.159)
Confidence Interval = 20±0.312
Confidence Interval = (20-0.312, 20+0.312)
Confidence Interval = (19.688, 20.312)
Hence the interval for the mean rate of return on all real estate investments with 95% confidence is 19.688<x<20.312.
This means that the minimum rate of return on investment is 19.688% and the maximum rate of return on investment is 20.312%.(assuming 20% as the mean)
if an angle is obtuse, what type of angle is the supplement
Answers
What is the value of x in the equation 2.5x+ 10 = x- 0.5
Answers
What is 61% percent written as a decimal? 100 points and Brainliest
Answers
Answer:
0.61
........
.......
Answer:
0.61 just did it!
Step-by-step explanation:
Name two segments that share an endpoint with JM
Answers
Answer:
b
Step-by-step explanation:
Which equation is y=-6x^2+3x+2
Answers
Answer: y = 39x +2
Step-by-step explanation: -6x^2 is equal to -6x-6 which is 36x + 3x is 39x, add the 2 and you get 39x +2.
Need help please.......
Answers
Answer:
right triangles
Find the area of the shape shown below.
7
3
3
Answers
Split it into two shapes a square and a triangle.
Square = 3 x 3 = 9
Triangle = 1/2 x base x height
The height would be the side of the square = 3
The base would be the length of the top line minus the length of the side of the square = 7-3 = 4
1/2 x 4 x 3 = 6
Total area = 6 + 9 = 15 square units.
Answer:
15 sq. unitsStep-by-step explanation:
area of a trapezoid = (a + b) * h/2
where a = 3, b = 7, h = 3
plugin values into the formula:
A = (3 + 7) * (3/2)
A = 15 sq. units.
How would you write 4/1000 in decimal form
Answers
Answer:
The correct answer is 0.004
Step-by-step explanation:
I got it correct
4 to the -2 power c to the 3 power d to the -1 power
Answers
Answer:
Im sorry but i really need these points. FORGIVE ME
Step-by-step explanation:
all real numbers are irrational numbers?
Answers
Answer:
no.
Step-by-step explanation:
the group of all real numbers consists of both rational and irrational numbers.
Which graph shows rotational symmetry?
Answers
5. Lela purchased 2 mechanical pencils and a notebook that costs $5. Her purchase totaled $11. How much was each pencil? Use p to represent the cost of each pencil.
Answers
Answer:
3 dollars per mechanical pencil
Step-by-step explanation:
11 minus 5 equals 6 and 6 divided by 2 equals 3 :)
sole the rational equation
Answers
What are the coordinates of the image of vertex R after a
reflection across the y-axis?
O (4,3)
O (4, -3)
0 (-3,-4)
O (3, 4)
Answers
Answer:
D
Step-by-step explanation:
The coordinates of the image of vertex R after a reflection across the y-axis is (4,-3), the correct option is B.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure. Consider a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.
We are given that;
The vertex R=(-4,-3)
Now,
When reflecting a point across the y-axis, the x-coordinate changes its sign, while the y-coordinate remains the same. Therefore, the image of vertex R(-4,-3) after reflection across the y-axis would be the point (4,-3), since its x-coordinate changes its sign and its y-coordinate stays the same.
Therefore, by reflection the answer will be (4,-3).
Read more on reflection here:
brainly.com/question/12092571
#SPJ7
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain.
Answers
100 total people ... 35 exercise in the morning ... 45 in the afternoon ... and 20 at night
Jim is correct ...
35/100 is the ratio of people who exercise in the morning to total people.
45/100 is the ratio of afternoon exercisers to total people
20/100 is the ratio of night exercisers to total people
Answer: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.
Step-by-step explanation: sample response
Find y when x equals 15 if y equals 6 when x equals 30
Answers
X=15 and Y=?
X=30 and Y=6
By rule of three
15x6/30 = 3
The answer is Y=3
A recipe for salad dressing requires oil abd vinegar oil in a ratii of 3:2 which set of ingredients creates dressing with the same ratio?
Answers
Answer:
Step-by-step explanation:
Oil 3 parts in the basic relationship. So try 12
Vinegar 2 parts so call it x.
3/12 = 2/x Cross multiply
3x = 2*12 Combine the right
3x = 24 Divide by 3
3x/3= 24/3
x = 8
So 12:8 is the same as 3:2
What is the range of the function y = x^2
Answers
Answer:
Option 1
Step-by-step explanation:
The square of a real number is always non-negative.
I need Help on 8 or both (if possible)
Answers
I only see one question here...
If [tex]y=f(x)[/tex] is a one-to-one function, then it has an inverse such that [tex]f^{-1}(y)=x[/tex]. This means that [tex]f^{-1}(f(x))=x[/tex].
According to the table, [tex]f(1)=-2[/tex]. So by definition of the inverse, we have
[tex]f(1)=-2\implies f^{-1}(f(1))=f^{-1}(-2)\implies\boxed{1=f^{-1}(-2)}[/tex]
so the answer is either B or D (they're both the same...)
I WILL MARK YOU AS BRAINLIEST ANSWER
I need the full procedure of this, and it’s due in one hour. Do It With The Full Procedure And I Will Mark You As Brainliest answer.
Answers
Answer:
its b.
Step-by-step explanation:
Point s is on the line segment rt . Given RT= x+5 st = 4x-9 and rs = x-2 determine the numerical length of rt
Answers
Answer:9
Step-by-step explanation:RS+ ST+RT
X-2+4x-9=x+5
4x-11=5
4x=16
X=4
Help with this question
Factor: m- 81
Answers
Answer:(x+9)(x−9)
Step-by-step explanation:
