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
Darina [25.2K]
3 years ago
12

What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6

Mathematics
2 answers:
Komok [63]3 years ago
8 0

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

irina1246 [14]3 years ago
8 0

Answer:

(−1, 0) and (0, 6)

Step-by-step explanation:

The given system of equations is

y=-x^2+5x+6

and

-6x+y=6

Solve for y in this second equation

y=6x+6

We equate the two equations to get;

-x^2+5x+6=6x+6

x^2+x=0

x(x+1)=0

x=0,x=-1

When x=0,

y=6(0)+6

y=6

When x=-1

y=6(-1)+6

y=0

You might be interested in
Please help :30 points ​
Yuliya22 [10]

add up all the numbers, then divide by how many numbers there are.

5 0
3 years ago
Read 2 more answers
you are traveling to an island that is accesible only by boat. you plan to take one boat there and a different boat back. You'll
weqwewe [10]

\text{Answer: }\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}

Step-by-step explanation:

Since we have given that

Time taken by steamboat makes the trip=5 hours

Time taken by yacht makes the trip =2.5 hours

Since we have also given that

the yacht is 20 knots faster than the steamboat,

So let the speed of steamboat be x

Let the speed of yacht be x+20

Now,  we have given that both boats will travel the same distance ,

So,

\text{Distance traveled by steamboat}=\text{ Distance traveled by yacht}\\\\x\times 5=(x+20)\times 2.5\\\\5x=2.5x+50\\\\5x-2.5x=50\\\\2.5x=50\\\\x=\frac{50}{2.5}\\\\x=20\text{ knots}

Hence,

\text{Distance traveled by steamboat}=20\text{ knots}\\\text{Distance traveled by yacht }=20+20=40\text{ knots}

7 0
3 years ago
If 3 hens lay 10 eggs in 5 days, how many eggs will 3 hen lay in 20 days.
Bogdan [553]

Answer:it would be 40 eggs

Step-by-step explanation:

10 divided by 5= 2(eggs per day)

Then times 2 by 20 to get the answer of 40 eggs in 20 days

4 0
3 years ago
Read 2 more answers
Which statement justifies that x2 + 3x − 1 multiplied by 2x2 − 2x + 1 obeys the closure property of multiplication?
olya-2409 [2.1K]
(x² + 3x - 1)(2x² - 2x + 1)

x²(2x² - 2x + 1) + 3x(2x² -2x + 1) -1(2x² - 2x + 1)
2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1
2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1
2x^4 + 4x³ - 7x² + 5x - 1

<span>(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.</span>
7 0
3 years ago
Read 2 more answers
A test consists of 10
Alecsey [184]
I didn't understand your question. please repeat 
6 0
3 years ago
Other questions:
  • What is the most accurate name for this polygon? A. pentagon B. regular pentagon C. convex pentagon D. concave pentagon
    5·1 answer
  • The cost function for a certain company is C = 40x + 800 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
    15·1 answer
  • There are 3 ways you can prove triangles similar without having to use all sides and angles?
    13·1 answer
  • If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g•h)(5)?
    6·2 answers
  • Which equation has 1 solution?
    11·1 answer
  • Faces and bases are the same thing on a geometric solid. True False
    8·1 answer
  • The null and alternate hypotheses are: H0: ????1 ???? ????2 H1: ????1 ???? ????2 A random sample of 15 observations from the fir
    6·1 answer
  • Any know the answer to this?<br> f(x) =0x+5
    9·1 answer
  • Polynomials I really need help someone please help me please
    10·1 answer
  • I swear nobody is not gonna help me on this question how many do you want to bet
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!