1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
3 years ago
14

Solve the system of equations algebraically. Show all of your steps

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0
I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
You might be interested in
You have quarters and dimes that total $2.80. your friend says it is possible that the number of quarters is 8 more than the num
ss7ja [257]
To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D

The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.  
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3

Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
4 0
3 years ago
If 2 and 4 each divide q without remainder, which of the following must q divide
Marrrta [24]
Any multiple of 4 would work.
7 0
3 years ago
1. Find two numbers with a common factor of 3 only.
Mnenie [13.5K]

Answer:

All numbers can be written as a product of the prime numbers that conform them.

A) Find two numbers with a common factor of 3 only.

for example:

2*3 = 6

7*3 = 21

Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.

B) Write a pair of numbers with a common factor of 2, 3 and  6.

Here we can write:

2*3*2 = 12

3*2*5 = 30

Those two numbers have the common factors 6, 2 and 3.

C) Write a pair of numbers with common factors of 3, 6 and  9.​

3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)

-3*2*6 = -36

Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)

8 0
3 years ago
Using trial and improvement, find the solution between 5 and 6 for the following equation:
STALIN [3.7K]

Answer:

2

Step-by-step explanation:

that is √ 14 which is 27 ×>44.2177

4 0
2 years ago
Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
nasty-shy [4]

Answer:

what happens?

..........

.

.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Put these numbers in order from least to greatest <br><br> 12%, -1/2, 0, -0.22, 0.56
    15·2 answers
  • If you subtract 12-7.28 what is your answer ?
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%7B8%20%7D%5E%7B2%7D%20%20%2B%20%20%7B10%7D%5E%7B3%7D%20%20%5Cdiv%20%20%7B5%7D%5E%7B2%7D%20
    12·1 answer
  • Angle θ is in standard position. if sin(θ) = − 1/3, and π &lt; θ &lt; 3π/2 , find cos(θ).
    15·2 answers
  • Find the indicated limit, if it exists. (1 point) limit of f of x as x approaches 9 where f of x equals x plus 9 when x is less
    8·1 answer
  • And then next time we will come back and
    12·1 answer
  • What is the volume of the rectangular prism in cubic centimeters?
    10·1 answer
  • -7(x + 1) - 3 = -8x + 11
    15·2 answers
  • What kinds of numbers or combinations of numbers do not work when solving equations? How do you know your answer is correct?
    6·1 answer
  • Question 5 (12 points)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!