Answers
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Related Questions
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?
Answers
Answer:
30% increase
Step-by-step explanation:
First, find the difference between the prices:
156,000 - 120,000
= 36,000
Then, find what percent this is of the original price:
36,000/120,000
= 0.3
So, the percent increase is 30%
Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME
Answers
Answer:
x= 12
Step-by-step explanation:
First, we can note that the angles in a pentagon add up to 540°
We can, using the image below, conclude that angles a+b+c+d+f=540
Furthermore, a is on a straight line with 7x+4, and so on, so
180-(7x+4)= a
176-7x=a
180-(4x+1) = b
179-4x = b
180-(9x-6) = c
186 - 9x = c
180 - (4x+9) = d
171 - 4x = d
180 - (5x+4) = f
176 - 5x = f
a+b+c+d+f = 540
176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540
888 - 29x = 540
348 = 29x
x = 12
Sandy charges each family that she babysits for a flat fee of $10 for the night and $5 extra per
child. Sandy made a total of 30 dollars. Write an equation to represent the number of children
that Sandy watched.
Answers
help please this has to be done
Answers
Answer:
100
Step-by-step explanation:
a triangle is 180, so 180-58-22 is your answer
x * 2/3 < 2/3
Solve for x
Answers
Answer:
x<1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!
Answer:x<1
Step-by-step explanation:
Solve for y
4x + 4y = -36
Answers
uhhhh the answer is -9 I think
Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy
Answers
Answer:
9 cd's
Step-by-step explanation:
what is the slope line segment between A(10,5) and B (13,-1
Answers
Answer:
-2
Step-by-step explanation:
using the slope formula with these two points gives me a slope of -2. Hope that helps!
kristy had two brothers and 2 sister the little sister name kylie was 8 years old the big sister name kaylie is 12 years old the big brother name jay lay is 13 years old the little brother is 10 years old but they mom let hem buy what ever they wanted she gave each 10$ and 9 cents how many money did she paid
Answers
Answer:
Ahhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Thx fa free points susta
Alright here is another question
Answers
Answer:
1/2bh, bh, s²
Step-by-step explanation:
Base x Height = area of rectangle/square, so half it (to get the triangle)
Base x Height = Area of rectangle
And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)
PLZZZZZ HELPPP ME WITH THISS!!!!!
Answers
done...
................
There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. How
many cans of tennis balls did Coach buy? Which equation models this problem?
Answers
Answer:
Step-by-step explanation:
27÷3=9
The couch bought 9 cans of tennis ball.
What is division?One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.
Given, there are 3 tennis balls in each can.
And couch bought 27 tennis balls.
To find the number of cans:
Take the division of Total number of balls to balls in one can.
That means the number of cans for 27 tennis balls,
= 27 / 3
= 9
Therefore, the 9 cans the couch bought.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Find the angle with the smallest measure in △ VUW. Name the angle using three letters
Answers
Answer:
∠VUW
Step-by-step explanation:
A triangle is a three sided polygon with three angles. Types of triangles are obtuse, scalene, isosceles, equilateral and so on.
In triangle VUW, since VU = WU, hence it is an isosceles triangle. In an isosceles triangle, two sides of the triangle are equal.
The size of an angle depends on its opposite side, the higher the opposite side the higher the angle. Since In triangle VUW, VU = 9, WU = 9, VW = 5. Since VW is the smallest side, the angle opposite to VW is the smallest angle.
Hence the smallest angle = ∠VUW
Pls help asap, will do brainlest
Answers
Answer:
i got 2730 hope its right
Step-by-step explanation:
please help me I don't get it
Answers
Answer:
5
Step-by-step explanation:
1/6 X 6 = 1 X 5 = 5
6 X 5 = 30
The Correct Answer is 5
For the following expressions, match them up with their correct factored form
Answers
- No.1 on the left matches to no.2 on the right
- no. 4 on the left matches to no. 3 on the right
- no. 5 on the left matches to no. 4 on the right
- no. 2 on the left matches to no.5 on the right
The expression (x+6)² is simplified as x²+12x+36.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
A) (3x-2)(x+5)
= 3x²-2x+15x-10
= 3x²+13x-10
B) (3x-8)(3x+8)
= (3x)²-8²
= 9x²-64
C) 5x(x-1)(x+7)
= (5x²-5x)(x+7)
= 5x²(x+7)-5x(x+7)
= 5x³+35x²-5x²-35x
= 5x³+30x²-35x
D) (x+6)²
= x²+12x+36
E) (x-2)(x-8)
= x(x-8)-2(x-8)
= x²-8x-2x+16
= x²-10x+16
So, A→2, B→5, C→1, D→3, E→4
Therefore, the expression (x+6)² is simplified as x²+12x+36.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ5
Which number is equivalent to 3^4}{3^{2
Answers
Answer:
i get 81 correct me if im wrong
Step-by-step explanation:
3^4 / 3^2
=3^4-2
=3^2
=9
Use the Distributive Property to rewrite the expression in factored form.
5x - 10
16p + 24c + 32w
I used all my points please help
Answers
How many 3/4 are in 8?
Answers
Answer:
6, i think
Step-by-step explanation:
Answer:
2
3/4 + 3/4= 6/4 which goes into 8 twice
for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made 282. jake sold 17 bags of popcorn and 20 candy bars and made 160.50. what was the cost of a bag of popcorn
Answers
Answer:
$6.50 per bag of popcorn
Step-by-step explanation:
let a bag of popcorn be represented by p and a candy bar be b
28p + 40b = $282
17p + 20b = $160.50
this is an example of simultaneous equations
so you have to double the second equation to give 34p + 40b = $321
subtract the equations to give one -- > 6p = $39
divide $39 by 6 to give the value of one bag of popcorn = $6.50
Combine like terms : 10a+11x+3+10-9a-9+2+6x
Answers
Answer:
a+17x+6
Step-by-step explanation:
(1 1/8 + 1/8) - 5/4
A -1
B 0
C 5/8
D 4/5
Answers
9514 1404 393
Answer:
B 0
Step-by-step explanation:
Converting all of the fractions to eighths, we have ...
(9/8 +1/8) -10/8
= 10/8 -10/8
= 0
Answer: 0
Step-by-step explanation:
Simplify i give brainlest
Answers
Answer:
56/6 or 9.33
Step-by-step explanation:
8x5 -4^2/
2x3
40 - 4^2/
2x3
40 + 16/
6
56/6 or 9.33
The answer is 4 because when simplifying the top of the fraction it equals to 24 and the bottom is 6 so when dividing it equals 4.
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answers
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
Elise says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 33." What is Elise's number?
Answers
Elise's number is 29.
If you think of multiplying a value by -3 to get -33, it would obviously be 11.
So in this case, you would want to add 18 to 11 to get Elise's number, which is 29. Subtracting 18 from 29 would get you back to the value of 11, which you can then multiply it by -3 again to get -33.
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answers
Answer: 172.8
Step-by-step explanation:
I need help plz "I suck at math"
Answers
Answer:
Step-by-step explanation:
number 2: the one that says opposite
Ryan drinks liters of water every of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
Answers
1.) Which of the following is closest to 1?
A.
B.
9
10
C.
D. 98%
99
E.
100
8
Answers
Answer:
Step-by-step explanation:
98% it is the only percent and it is close to one
The slope of the graph of y = 5x is _____ .
Answers
Answer:
5
Step-by-step explanation:
(use the site M a t h w a y)
Answer:
5
Step-by-step explanation: