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
pychu [463]
2 years ago
13

Solve the following system of equations and show all work. y = 2x^2 y = –3x −1

Mathematics
1 answer:
lidiya [134]2 years ago
4 0

Answer:(- 1/2, 1/2)

(- 1, 2)

Step-by-step explanation:

The given system of equations is expressed as

y = 2x²- - - - - - - - - - - - - - -1

y = - 3x - 1- - - - - - - - - -- - - -2

We would apply the method of substitution by substituting equation 1 into equation 2. It becomes

2x² = - 3x - 1

2x² + 3x + 1 = 0

We would find two numbers such that their sum or difference is 3x and their product is 2x². The two numbers are 2x and x. Therefore,

2x² + 2x + x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

x = - 1/2 or x = - 1

Substituting x = - 1/2 into equation 1, it becomes

y = 2(-1/2)² = 1/2

Substituting x = - 1 into equation 1, it becomes

y = 2(-1)² = 2

You might be interested in
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
krok68 [10]

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

<u>To find the value of m</u>

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

8 0
2 years ago
Read 2 more answers
The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,
grigory [225]

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

8 0
3 years ago
How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest
Liula [17]

Answer:

1) Divide the numerator by the denominator.

2) Write down the whole number result.

3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

Step-by-step explanation:

not sure of this will help... but hope it does!

3 0
2 years ago
Read 2 more answers
Mr. Corpulence decides to go on a diet where he will lose 4 pounds a month he now weighs 288 pounds
quester [9]

Answer:

y=-4x+288

Step-by-step explanation:

every month he loses 4 lbs starting from his weight is at now

7 0
3 years ago
Which of the following inequalities is correct?
almond37 [142]

Answer:

A

Step-by-step explanation:

because there variables represent 1 so 1 cant be bigger than one and the other two have real equations

6 0
2 years ago
Other questions:
  • 1-3x=3x+1 SOLVE FOR X ALL NUMBER FORM NO WORDS AT ALL
    6·1 answer
  • What is the degree of the function f(x)= x(x+1)2 (2x-3)(x+2)2
    15·1 answer
  • What is the answer for 84 tens = what
    10·1 answer
  • A jar contains four red marbles and six green marbles. You randomly select a marble from the jar, with replacement. The random v
    15·1 answer
  • Kristy earns $18 for 2 hours of babysitting. She charges a constant hourly rate. Which table correctly shows the amount Kristy e
    5·1 answer
  • Please help asap!!!!
    6·1 answer
  • In a group of people, some are in favor of a tax increase on rich people to reduce the federal deficit and others are against it
    7·1 answer
  • Please find ‘?’ Please help me out
    14·1 answer
  • Please help me with the question below (also please explain).
    13·1 answer
  • As of 01 January 2017, Delta mainline aircraft fly to 233 destinations; when combined with its Delta Connection regional affilia
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!