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
Lady_Fox [76]
3 years ago
9

What are the solutions of the system?

Mathematics
2 answers:
Bezzdna [24]3 years ago
6 0

Answer:

Choice C is correct answer.

Step-by-step explanation:

Two equations are given:

y = x²+2x+3     eq(1)

y = 4x-2            eq(2)

As both equations are equal to y.So,

x²+2x+3 = 4x-2

Adding -4x and 2 to both sides of above equation,we get

x²+2x+3-4x+2 = 4x-2-4x+2

Adding like terms , we get

x²-2x+5 = 0

ax²+bx+c = 0 is general quadratic equation.

x = (-b±√b²-4ac) / 2a is quadratic formula.

Comparing above equation with general equation,we get

a = 1, b = -2 and c = 5

Putting above value in quadratic formula,we get

x = (-(-2)±√(-2)²-4(1)(5) ) / 2(1)

x = (2±√4-20) / 2

x = (2±√-16) / 2

D = b²-4ac = -16

Hence, D is not real.

There is no solution of given system of equations.



svetlana [45]3 years ago
3 0

Answer:

Option C. No solution is the right answer.

Step-by-step explanation:

Here the given equations are y = x²+2x+3 -----(1)

and y = 4x-2 -------(2)

Now we substitute the value of y from equation 2 into 1.

x²+2x+3 = 4x-2

x²+2x+3-2x = 4x-2-2x

x²+3 = 2x-2

x²+3-2x = 2x-2x-2

x²-2x+3 = -2

x²-2x+5 = 0

Then value of x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

=\frac{+2\pm \sqrt{4-4\times 1\times 5}}{2}

=\frac{2\pm \sqrt{4-20}}{2}

Since in this solution √(-20) is not defined. Therefore there is no solution.

You might be interested in
Determine if the two triangles are congruent. If they are, state how you know.
Genrish500 [490]

Answer:

they are not congruent

Step-by-step explanation:

the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.

5 0
2 years ago
The numbers of seats in the first 12 rows of a high-school auditorium form an arithmetic sequence. The first row has 9 seats. Th
Daniel [21]
A₁ = 9
a₂ = 9+2  → a₂ = a₁ + 2. Since it's an AP, d, the common difference is 2

1) Then the recursive formula is :
a(n) = a(n-1) + 2

2) Explicit formula:
It's an AP, with first term a₁, d= common difference and n = number of term, which is the number of rows in this problem.
the value of the nth term is given by the formula is:
value of nth term  = a₁ + (n-1).d

3) Number of seats in the 12th row:

9 + (12-1).2 = 31 seats


7 0
3 years ago
X - (.0765*X) = 554.10
erastova [34]

Answer:

X = 600

Step-by-step explanation:

x-(0.0765x)=554.1

x-0.0765x=554.1

0.9235x=554.1

x=600

:/

6 0
3 years ago
Read 2 more answers
Alyssa is 10 and her grandma is 71. Alyssa created a family tree in 2001, in what year was grandma born
Degger [83]

Ans1wer:

1930

Step-by-step explanation:

6 0
3 years ago
In factored form please help
Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

\frac{3x^2-3}{x^2-5x+4} ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

--------------------------------

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

\frac{3x^2-3}{x^2-5x+4} = \frac{3(x-1)(x+1)}{(x-1)(x-4)} ← in factored form

3 0
2 years ago
Other questions:
  • True ot false? K = 3 over 5 is a solution to the inequality 15k + 3 < 15.
    5·1 answer
  • Simplify the following radicals
    10·1 answer
  • Columns in the matrix/product not defined/given/ what's true​
    12·1 answer
  • 1 angle of a quadrilateral is 180 degrees & the remaining 3 angles are equal find the 3 angles (answer given 84 degrees)
    11·1 answer
  • Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).
    9·1 answer
  • 5. If p(x) = 2^2, what is the value of p(3) - P(2) ?<br> 1) 1<br> 2) 2<br> 3) 6<br> 4) 4
    9·2 answers
  • A.) A $135 pair of shoes is on sale for 40% off. If the sales tax is 8%, what is the final price of the shoes? The shoes will co
    6·1 answer
  • A human hair has width of about 6.5 x 10^-5 meter. What is this width written in standard notation
    9·1 answer
  • What is the spheres valume.
    15·1 answer
  • Approximate by finding the product of (2x10^58)x(2x10^-23)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!