What would be the best first step in solving this system?
x^2-x+3y=5
x=2y-1
A. Isolate y in the second equation
B. Substitute for x in the first equation
C. Isolate x in the first equation
D. Substitute for y in the second equation
Answers
Answer:
B. Substitute for x in the first equation
Step-by-step explanation:
The solution to a system of equations in which one is quadratic and the other is linear will necessarily involve solving a quadratic equation. Generally, we want to arrive at that quadratic as early as possible in the solution process.
Here, we have a linear expression for x, so it is pretty simple to use that to substitute for x in the first equation:
(2y -1)² -(2y -1) +3y = 5 . . . . substitute for x
4y² -4y +1 -2y +1 +3y = 5 . . . . eliminate parentheses
4y² -3y -3 = 0 . . . . quadratic in y in standard form
This does not have integer solutions, so it is perhaps best solved using the quadratic formula.
[tex]y=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(4)(-3)}}{2(4)}=\dfrac{3\pm\sqrt{57}}{8}[/tex]
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Additional comment
A best first step might be to input both equations to a graphing calculator and let it show you the solutions.
Related Questions
I need help with rates ratios and properties.
Answers
Answer: 13:15
26:30
39:45
52:60
Step-by-step explanation:
Answer:
26 : 30
52 : 60
65 : 75
Step-by-step explanation:
15 x 2 = 30
13 x 2 = 26
26 : 30
15 x 4 = 60
13 x 4 = 52
52 : 60
15 x 5 = 75
13 x 5 = 65
65 : 75
Hvae an amazing day!
PLEASE RATE!!
Which of these statements does the graph show? Check all that apply.
Answers
the first one and the last one.
which graph represents the solution to the inequality 2x-y>-3
Answers
Answer:
graph c
Step-by-step explanation:
because-3 is lower than y and 2x
x²-6xy+11y²=3a²
x²-2xy-3y²=5a²
Answers
Multiply the first equation by 5, the second by 3, and get 15^2 on both sides.
That means 5^2–30+55^2=3^2–6+9^2
which simplifies to:
^2–12+23^2=0
So,
=3±√ 13
Substitute each solution into either equation to get ^2 in terms of ^2.
and solve, then get , You should get either 0, 2 or 4 solutions.
Write an equation to represent the diagram on the left.
Answers
Answer:
3n + 10 = 28
Step-by-step explanation:
3n + 10 = 28
-10 -10
3n = 18
÷3 ÷3
n = 6
I hope this helps!
Answer:
3n = 18
Step-by-step explanation:
3n = 28-10
3n = 18
If u simplify this further you will get n value as 6
Need help solving this problem
Answers
Answer:
Step-by-step explanation:
q is TFTF
~q use negation, not q so is the opposite of q : FTFT
p↔~q use biconditional ,and will be True only is both statements are T or both are F
p values are TTFF ↔~q values are FTFT : FTTF
(p↔~q )∧~q use conjunction, that is True only if both statements are T
(p↔~q ) values are FTTF ∧~q values are FTFT : FTFF
(p↔~q )∧~q → p use a conditional statement, where only True False will give a F
(p↔~q )∧~q values are FTFF → p values are TTFF : TTTT
You estimate that there are 52 marbles in a jar. The actual amount is 88 marbles. Find the percent error. Round to the nearest
tenth of a percent if necessary.
Answers
Answer:
40.9%
Step-by-step explanation:
How does a graph show a proportional relationship? (ez 50 points)
Answers
Answer:
~Y/n here~ I believe the answer will be that if the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
(Hope this helps!)
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
Answers
Answer:
answer is D
Step-by-step explanation:
y + 1 = 3(x + 1)
Brody has a collection of 300 basketball and baseball trading cards. He has 180 baseball cards.
Answers
Answer:
The answer is 300 - 180= k
Step-by-step explanation:
Hope that helps!
Find the area of each figure in square units.
show work
Answers
Answer:
20 sq units
Step-by-step explanation:
Area of a parallelogram:
A = b•h
= 5•4
= 20
Please help!! A Ferris Wheel at a local carnival has a diameter of 150 ft. and contains 25 cars.
Find the approximate arc length of the arc between each car.
Answers
The arc length between each car is 18.84 ft
How to get the length of an arc?
For a section defined by an angle θ in a circle of radius R, the length of the arc is given by:
A = θ*R
A complete circle has an angle of 2π. Now, if the circle has 25 cars, then it has 25 sections, so the angle that defines each one of these sections is:
θ = (2π/25)
And the diameter of the circle is 150ft, so the radius (half of that) is:
R = (150ft)/2 = 75 ft
Then the length of the arc:
L = (2π/25)*75 ft = 18.84 ft
If you want to learn more about circles, you can read:
https://brainly.com/question/25306774
(50 POINTS)
The first 9 positive odd integers are placed in the following 3 by 3 grid in such a way that the sum of the numbers in each row, column, and main diagonal is the same. Four of the numbers are shown and the other five numbers are represented by the letters A, B, C, D, and E.
Determine the values of A, B, C, D, and E.
Answers
Answer:
As stated in the question, the 9 numbers in the boxes are 1,3,5,7,9,11,13,15,17. Now, I have to find clues to see how to figure out each number.
First clue: Looking at the first row and the right column, they both have the letter B in it, but the first row also has A. Since they both have B, A+1=13+3. Simplified, A = 15. So, I have figured out the first value.
Second Clue: I can see that B,C, and D all have a relationship. Because for B, the rows and columns add up to 16 only, but for C, the middle row adds up to 18. Therefore, the value of B must be 2 more than C. For the leftmost column, I can see that the other two numbers would add to 20, and middle row would only add up to 18. This shows that C is 2 more than D.
Using this information, I can find all their values since I know the 9 numbers that are supposed to be in each box. To figure out their values, I have to find three consecutive odd numbers.
The only numbers I have left are 7,9,11, and 17.
Now I know that D=7, C=9, and B=11.
All that is left is the number 17, and the letter E.
E=17.
According to the question, I have to find the value of A+E.
Since A=15, and E=17, 15+17=32.
The value of A+E=32.
Can someone help me with this
Answers
Answer:
4 sides
Step-by-step explanation:
A lot of math is about pattern matching. Here, you're asked if sides are the same length (one side matches another), if there are right angles (square corners), and if the number of angles or sides is 4.
You might make the observations ...
pink: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.
orange: all 4 sides are congruent and at right angles
blue: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.
green: 2 pairs of parallel sides that are the same length--4 sides and 4 right angles. Adjacent sides are different length.
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The only feature in common is "4 sides."
Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students. The data are shown in the dot plot.
Vowels in student names. Number of vowels.
What percentage of the students have 5 or more vowels in their first and last names?
Answers
I spent $370 for a membership. It cost $50 to join and $20 a month. Write and Solve an equation for how many months I went?
Answers
Answer:
here
Step-by-step explanation:
use Gauth Math
source given:
$370 for a membership
cost to join: $50
370 - 50 = 320
Now, 20 a month
A month comprises of 4 weeks
A year comprises of 12 months
so,
12 X 20 = 240
320 - 240 = $120
remaining, $120
20 = 1 month
120 = 6 months
18 months???
I am not sure if this is correct, but hope it helps.
What is the slope of the line on the graph?
Answers
The slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]
That means we need two points --> (0, 4) and (6,2)
Now let us plug it into our equation: [tex]\frac{2-4}{6-0} =\frac{-2}{6} =-\frac{1}{3}[/tex]
Thus the slope is -1/3
Hope that helps!
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent “the opposite of Liliana’s score is equal to Marcus’s score”?
Negative 18 = 18
Negative (negative 18) = negative 18
Negative (18) = negative 18
Answers
Answer:
Well if Liliana loses 18 points and Marcus get the correct one and gains 18 points
Step-by-step explanation:
So basically it's going to be negative because its saying what is the opposite of Liliana's core but in reverse order
help me thank u alot <333
Answers
Answer:
N~U
P~V
Q~S
R~T
(im confused on the second picture, give me time to figure it out)
Step-by-step explanation:
!!50 POINTS!!
Answer quick as possible!
Answers
Answer:
i think its c
Step-by-step explanation:
What is the factorized term of this problem?
9 / 4(6) • 3x + 2y
Will give the crown
Answers
Answer:
81x/2 + 2y
Step-by-step explanation:
Write each expression as a difference.
1. 7+3
2. a+5
3. a+b
Answers
Step-by-step explanation:
I’ll assume that difference means “subtraction”
If that’s the case then you just make everything -(-)
a) 7 - (-3)
b) a - (-5)
c) a - (-b)
In the diagram, what is the value of x?
Answers
Answer:
i believe its C
Answer:
D
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Use the information given to answer the question.
Consider the information about the number of customers that select various frame colors at a frame store one day.
• 15 customers select white frames.
• 30 customers select black frames.
• 45 customers select gold frames.
Part A
there are a total of 2, 200 customers that order from the frame store one month, what is the best approximation for how many cu
frame?
O 367 customers
733 customers
O1, 100 customers
01,467 customers
Answers
Answer:
D
Step-by-step explanation:
su
Higher Order Thinking Molly and five
friends picked a total of 300 oranges. If
they each picked the same number of
oranges, how many oranges did Molly
pick? Explain.
Answers
Let’s evaluate
Molly and her five friends=6 humans
therefore it would be 300 oranges divided by 6 Humans=50
There are 50 oranges did Molly pick.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Higher Order Thinking Molly and five friends picked a total of 300 oranges.
Now,
Since, Number of oranges = 300
And, Number of persons = 6
Hence, Number of oranges picked by each person = 300 / 6
= 50
Thus, There are 50 oranges did Molly pick.
Learn more about the divide visit:
https://brainly.com/question/917110
#SPJ2
the sum of 4.5 and a number K is 26.2
Answers
Answer:
Your answer should be K=21.7
You can find this by subtracting 26.2-4.5
(12.4×10
−4+4
.(1.5×10
4
)
Answers
Answer:
answer is 18096.
Step-by-step explanation:
12,4×10=124
124-(4+4)=124-8=116
(1,5×104)=156
116×156=18096
What is 0.272727... written as a fraction?
Answers
Hello
Your answer is 27/99
Hopefully this helps you!
Find the length of the third side. If necessary, write in simplest radical form. 5 5√3
Answers
Nee hlep. need hlep bad