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
Leto [7]
3 years ago
10

What are the solutions of the system?

Mathematics
1 answer:
miskamm [114]3 years ago
3 0
We have the following system of equations:
 y = -6x-6
 y = x2-5x-6
 Matching we have:
 x2-5x-6 = -6x-6
 Rewriting we have:
 x2-5x-6 + 6x + 6 = 0
 x2 + x = 0
 Rewriting:
 x (x + 1) = 0
 The solutions are:
 x = 0
 x = -1
 For x = 0
 y = -6 (0) -6 = 0-6 = -6
 y = -6
 For x = -1
 y = -6 (-1) -6 = 6-6 = 0
 y = 0
 The solutions are:
 (x, y) = (0, -6)
 (x, y) = (- 1, 0)
 Answer:
 
The solutions of the system are:
 (-1, 0) and (0, -6)
You might be interested in
Write a real word problem that you can solve by writing an equation the answer to the problem must be 6
8_murik_8 [283]
You want to by two apples. Each apple costs three dollars. How much do you need to by two apples.
7 0
3 years ago
Your car gets about 20 miles per gallon. You are planning to drive to
igor_vitrenko [27]

Answer:

42.5 or 43

Step-by-step explanation:

Since you need to travel 850 miles, and you can travel 20 miles per gallon, you should divide 850 by 20 to get the number of gas cans needed. In doing so, you get 42.5 gas cans, but since it may be asking for whole cans rather than part of a gas can, you might want to write 43 instead. If you were to round down to 42, you would not have enough gas to finish the trip, so you should round up to 43. So, it is up to you if you want to write 42.5 or 43.

Hope this helped somewhat! ;(

5 0
2 years ago
Can someone please send help :(
nlexa [21]
(f o g)(x)

g(x) = x + 2

Since it’s telling you to use g(x), you use (x + 2) as your new x value for function f.

f(x + 2) = 5(x + 2) + 5
= 5x + 10 + 5
= 5x + 15

5 0
3 years ago
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
Evaluate sigma 12 n=3-5n-1
Leni [432]
12n = 3-5n-1 or n =3-5n-1???

6 0
2 years ago
Other questions:
  • Ms walkers science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraptio
    8·1 answer
  • Look at image for question
    7·1 answer
  • Which of the following is equal to sqrt25x^7y^4?
    14·1 answer
  • How many thirds are in - 4 2/3
    10·1 answer
  • ! HELP PLEASE !
    6·2 answers
  • A closed container has 2.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams. Which of the following shows
    13·1 answer
  • Can someone help me with this please
    10·1 answer
  • Allie worked for 1/2 hour on Saturday and 2/3 hour on Sunday.What are four common denominators for the fractions?Explain your re
    7·1 answer
  • What is an equation of the line that passes through the point<br> (-2,-8) and has a slope of 3?
    8·1 answer
  • A flower shop charged $124.44 for 3 bouquets of flowers. This price included a $7.50 service and delivery fee.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!