Questions on Algebra: Systems of equations that are not linear answered by real tutors!

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Question 842215: Actually, one is linear and the other quadratic. No such category.
Solve this system of equations for a, b, and c
c^2 - b^2 - a^2 = 101 and ab = 72
THanks so much

Click here to see answer by josmiceli(19441) About Me 

Question 842284: A rectangular picture has an area of 300 in^2 and perimeter of 80 in. Find its dimensions. (We have to use non-linear systems of equations)
Click here to see answer by richwmiller(17219) About Me 

Question 842965: A rectangle has dimensions 3x + 5 and x+7. write an expression for the area of the rectangle as a product and as a polynomial in standard form.
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Question 842826: x^2+y^2=4 5x^2+5y^2=28 give all solutions of each nonlinear system of equations nonreal complex components
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Question 843248: If a group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?


How do I solve this problem?

Click here to see answer by ewatrrr(24785) About Me 

Question 843648: 4x+y=23 3x-y=12
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Question 844459: Three are three type ingots. The first has 20gms gold, 30gms of silver and 40 gms of copper. the second has 30gms of gold, 40gms of silver and 50 gms copper. The third has 40 gms of gold, 50gms silver and 90 gms copper. What weight will be taken from each of the previous ingots to form a new ingot of 34 gms gold, 46 gms silver and 67 gms copper?

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Question 844451: 2x+3y>18

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Question 845256: Hi
Would you please help me to answer this problem:
A pilot of a downed airplane fires the emergency flare into the sky. The path of the flare is modeled by the equation h= -0.096(d-25)^2 + 60, where h is the height of the flare in metres when its horizontal distance from where it was propelled is d metres. An emergency helicopter equipped with special binoculars has a line of sight to the spot where the flare was launched. The line of sight from the binocular is modeled by the equation 9x-10y=-14
a) solve the system and give answers rounded to two decimal places.
b) the line of sight from the binoculars spots the flare twice. How high was the flare closest to the ground when it was spotted the first time?

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Question 846105: Determine if this equation is linear.
If so, write the equation in standard form
Graph

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Question 846659: Joe Tyson is the kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each extra point scored 1 point for a total of 70 points. Find the number of field goals and extra points that Joe made last season.
My teacher taught us an easier version of this but then she forgot to teach us the next step so I am a bit lost.

Click here to see answer by josmiceli(19441) About Me 

Question 846684: Solve for x
Y=x^2-6x+8
2y+x=4
Solve for x
X^2+1-y=0
X-1-y=0

Click here to see answer by stanbon(75887) About Me 

Question 846713: Write the equation of a parabola in the form y=ax2 + bx + c where a,b, and c are integers with no common factors, a>0, and the zeros of the parabola are -5/3 and 7/2.
Click here to see answer by josh_jordan(263) About Me 

Question 846708: The first two terms in a sequence are A1= 4 and A2=2. Each subsequent term is defined by the rule An= An-1 - An-2. What is the value of A2014?
Click here to see answer by richard1234(7193) About Me 

Question 847253: How to solve this algebraic question?
the value of a=4,b=7 and k =11
this is part b that I can't understand:
a*(squareroot b^2 -c)= 5k
we need to find c.
Can you give me a detailed explanation and solution to this please.thanks.

Click here to see answer by Fombitz(32388) About Me 

Question 847573:
Click here to see answer by Alan3354(69443) About Me 

Question 847945: Louis walks and jogs to school each day. He averages 5 km/h walking and 9 km/h jogging. The distance from home to school is 8 km and he makes the trip in 1 hour. How far does he jog in a trip?
Click here to see answer by richwmiller(17219) About Me 

Question 850642: A rectangular swimming pool is 50 ft. wide, 100 ft. long, and 10 ft. deep. The pool will be filled to a line 2 ft. from the top. The water company charges $2.25/1000 foot cubed. How much does it cost to fill this pool?
Click here to see answer by josgarithmetic(39616) About Me 

Question 852306: y=5^x
y=5^2x -1

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Question 852351: I have 2 questions:
1. y=5%5E%28x%29
y=5%5E%282x%29+-1
2. y=2e%5E%282x%29
y=e%5E%28x%29+-1

Click here to see answer by josgarithmetic(39616) About Me 

Question 852545: What is the solution to the following systems of equations?
y=2e%5E%282x%29
y=e%5Ex+-1

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Question 852656: x-y=-4 x+y=-4
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Question 853112: (nx+my=a
(-nx+my=b
Solve this system of literal equations

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Question 853744: Use U={1,2,3,4,5,6,7,8,9,10}
A={2,3,5}
B={5,6,7,9}
C={1,4,10}
to find the set AUB
You guys are awesome!!

Click here to see answer by LinnW(1048) About Me 

Question 854350: can u help me with this question?
the length of a rectangle is five more than four times the width. the perimeter of the rectangle is 140 inches. find the dimensions of the rectangle

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Question 854964: Solve 6x-9=21
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Question 856321: 3x+2y=5 and 2x^2+xy+y^2=14.
Please solve for me I am dying to know how,thanks

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Question 856324: 2x-3y-10=0 and x^2+xy+y^2+2x+y-6=0. Solve please
Click here to see answer by josgarithmetic(39616) About Me 

Question 856323: 3rs-s^2=2 and 2r-3s=-4. Please solve and explain ,thanks
Click here to see answer by edjones(8007) About Me 

Question 856460: If A =783937
B = 770832
C = 5159
D = 6
Answer is 681188.
What is formula please?

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Question 856657: Y-2x=-2 and x^2+y^2+2x-3y=19. Please solve it algebraically
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Question 856947: y=2x-6
3x+y=4

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Question 856975: jayce bought 2 bath towels and returned 3 hand towels. his sister jayna bought 3 bath towels and 3 hand towels. jayces bill was $5. jaynas bill was $45. what are the prices of a bath towel and a hand towel
Click here to see answer by josgarithmetic(39616) About Me 

Question 857227: Hi! I'm stuck on this question in my math and its says "Determine which of the points is a solution to the system." Hopefully I got the right topic haha :) Okay so this is the question:
y=2x-3 (4,-4);(2,1);(3,3)
4x+y=15
Thanks! -Savanah

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Question 857551: x+y+z=22
y+z=12
z=4

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Question 857921: I have two equations, one is a hyperbola and one is a straight line. The line is in the form of +y%2Bkx=-2+. I am not sure what exactly the hyperbola equation was as it is not written down, but it was in a form similar to +y%28x%2B8%29=x+. The problem explains that the hyperbola is the edges of two circular pools and the line is the path that goes between them. The problem states 'find the appropriate values of k' so that the path does not cross into the pools, that is, no intercepts between the line and the hyperbola. I have managed to substitute the equations together to get +x%2F%28x%2B8%29=%28-kx-2%29+. This can be turned into the quadratic equation +kx%5E2%2Bx%283%2B8k%29%2B16=0+. Since the aim is to find appropriate values of k that make the line not cross through the hyperbola, the discriminant ( b%5E2-4ac+ ), must be equal to less than 0 to show that there are no real roots/solutions. By substituting the a, b and c values from this quadratic equation into the discriminant, another quadratic equation is created: +64k%5E2-16k%2B9+. This needs to equal less than 0 for the line to not pass through the hyperbola.
I am confused as to what to do from here to find appropriate values of k and if I have done the previous steps correctly. I am sure that I am close to solving it.
The second part of this question also states, find the range of possible values. Although, I first need to figure out how to solve the first part of the question.
Please help if you can, I have literally been trying to figure this out for hours.

Click here to see answer by KMST(5328) About Me 

Question 858050: Solve the system
6x-5y=-1
2y-2x=0

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Question 858205: Hi, I am terrible at systems of equations and I have an applications of derivatives assignment with a few questions, the only one dealing with systems of equations is as follows:
For the function f(x)= ax^4 + bx^3 - 4x^2 + 2cx + 14
Determine the values of a, b, and c, such that,
f(-2)=2 , f'(-2)=16 , and f''(-2)=-8

I have tried only messing around with various numbers in my calculator for the past hour to get any number to match with the given values, and I failed
Any help would be much appreciated
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 858995: x=2y+1
x+y=7
Solve the systems of equation using the elimation or substitution method

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Question 859236: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9.
What is the number?

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Question 859393: A veterinarian examined 4 times as many dogs as cats today. In all, he examined 15 dogs and cats.
How many dogs and cats did he examine?

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Question 859599: A class of 32 students has 6 more girls than boys. How many girls and how many boys are in the class?
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Question 859630: The sum of the digits in a two digit numeral is 8. If the order of the digits is reversed, the result is 18 more than the original number. Find the original number.
Click here to see answer by solver91311(24713) About Me