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
earnstyle [38]
3 years ago
7

Solve the system of equations y=x^2+3x-4 and y=2x-4

Mathematics
1 answer:
laila [671]3 years ago
4 0

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 4 → (1)

y = 2x - 4 → (2)

Substitute y = x² + 3x - 4 into (2)

x² + 3x - 4 = 2x - 4 ( subtract 2x - 4 from both sides )

x² + x = 0 ← in standard form

x(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 → y = 2(0) - 4 = 0 - 4 = - 4 ⇒ (0, - 4 )

x = - 1 → y = 2(- 1) - 4 = - 2 - 4 = - 6 ⇒ (- 1, - 6 )

You might be interested in
An African elephant weighs 6 tons. What is the weight of the elephant in pounds?
Pavlova-9 [17]
12,000 pounds, 1 ton = 2000 pounds
5 0
3 years ago
Read 2 more answers
A conjecture and the paragraph proof used to prove the conjecture are shown.
quester [9]

First box is EF.

Second box is segment congruence postulate.

Third box is segment additon postulate.

Fourth box is DF. For this one the last sentence basically gives you the answer.

Just so you know for the fourth I guessed on if it's DF lined or DF unlined. I made my educated guess on the fact that the last line doesn't have a line. I hope this helps, and please tell me if I got something wrong, or my explanation wasn't sufficent enough for you.

8 0
3 years ago
The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?
lys-0071 [83]

Answer:

156.86

Step-by-step explanation:

136.40 + 15% is 20.46 added to 136.40 is 156.86


4 0
3 years ago
Read 2 more answers
HELP PLEASEEEEE I'll give you a crown
arlik [135]

Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

4 0
3 years ago
Find c. Select the letter of the solution.
OlgaM077 [116]

Answer:140

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What does the factor is 3 that both 3x and 18 have in common.
    12·1 answer
  • Use trigonometry to find the value of x in the picture above.
    13·1 answer
  • the boys bought 5 packages of hot dogs for 22.50 at the store.If each package of hotdogs had 9 hotdogs in each, what is the cost
    8·2 answers
  • Which of the following is written in scientific notation correctly?
    6·1 answer
  • Lorenzo is setting up chairs for the talent show. He has 54 chairs and was asked to put them in 6 rows. He needs to find out how
    10·1 answer
  • HELP ASAP
    8·1 answer
  • Which is longer, 1/4 of line A or 1/4 of line B? Explain.
    10·1 answer
  • william is trying to solve the last problem of his math homework: 5/8 divided by 2/3. which of the following will give him the c
    11·1 answer
  • Please help me ASAP!!!​
    12·2 answers
  • Ms. Fitzgerald had 2 1 /4 gallons of fruit punch. She served 3 /8 gallon of the fruit punch
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!