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
BigorU [14]
3 years ago
9

he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically

are shown in the table. Which represents the solution(s) of this system of equations?
Mathematics
2 answers:
frutty [35]3 years ago
8 0

Question:

Which represents the solution(s) of this system of equations?

Answer:

(-3,-1)

ivann1987 [24]3 years ago
5 0

Answer:

The solutions are -3 and -1

Step-by-step explanation:

∵ y = -x² - 2x + 8

∵ y = 2x + 11

∴ -x² - 2x + 8 = 2x + 11

∴ -x² - 2x - 2x + 8 - 11 = 0

∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1

∴ x² + 4x + 3 = 0

∴ (x + 3)(x + 1) = 0

∴ x + 3 = 0 ⇒ x = -3

∴ x + 1 = 0 ⇒ x = -1

∴ The solutions are -3 and -1

You might be interested in
Find the area of the trapezoid.
UkoKoshka [18]
The answer is 68cm^2. Hope this helps!
4 0
3 years ago
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
What is the area of the square?
NISA [10]
The area is 4 square meters, because 2x2 would be 4
7 0
3 years ago
Solve 3x-5=16<br> i need the answer this math
Juliette [100K]
The correct answer is 7. You add five to both sides then divide by three and you get 7 for x

4 0
3 years ago
PLEASE HELP AND SHOW ALL STEPS
Alja [10]

Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

4x² - 14x + 17

Item b:

-5(x + 2)² + 28

-5(x² + 4x + 4) + 28

-5x² - 20x - 20 + 28

-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

#SPJ1

4 0
2 years ago
Other questions:
  • Graph the equation: y = 2/3x - 4
    7·1 answer
  • Henry is taking a medicine for a common cold. The table below shows the amount of medicine f(t), in mg, that was present in Henr
    5·2 answers
  • Margaret is cutting straws that are 4 inches long into 1/2-inch pieces. She has two straws. She needs twenty 1/2-inch pieces. Do
    9·1 answer
  • Determine which postulate or there and can be used to prove that triangle SEA is congruent to triangle PEN
    6·1 answer
  • What is the negative square root of 64/4?
    6·1 answer
  • What is the perimeter of a triangle with sides 11 in 5 in and 13 in​
    15·1 answer
  • Can someone please help meh?
    11·2 answers
  • 4.06 Question 1
    13·1 answer
  • What is the tenth number in this sequence?4,10,16,22,_​
    12·1 answer
  • Answer ASAP!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!