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
Vera_Pavlovna [14]
3 years ago
12

I forgot how to do this stuff-

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer: x = 2

y = 2

Step-by-step explanation:

The given system of equations is expressed as

y = x²- 3x + 4- - - - - - - - - - - - -1

x + y = 4- - - - - - - - - - - -2

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

x + x²- 3x + 4 = 4- - - - - - - - - - -3

x² + x - 3x + 4 = 4

x² - 2x + 4 = 4

Subtracting 4 from the left hand side and the right hand side of the equation, it becomes

x² - 2x + 4 - 4 = 4 - 4

x² - 2x = 0

Adding 2x to the left hand side and the right hand side of the equation, it becomes

x² - 2x + 2x = 0 + 2x

x² = 2x

Dividing the left hand side and the right hand side of the equation by x, it becomes

x²/x = 2x/x

x = 2

Substituting x = 2 into equation 1, it becomes

y = 2²- 3 × 2 + 4

y = 4 - 6 + 4

y = 2

You might be interested in
Solve the following inequality: 3-5x-x^2>=0
Dennis_Churaev [7]

Answer:

-5/2+-1/2√37≤x≤-5/2+1/2√37

Step-by-step explanation:

Step 1: Find the critical points

-x^2-5x+3=0

For this equation: a=-1, b=-5, c=3

−1x^2+−5x+3=0

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(3)/2(-1)

x=5±√37 /−2

x=-5/2+1/2√37

Step 2: Check intervals in between critical points

x≤-5/2+1/2 √37 (Doesn't work in original inequality)

-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)

x≥-5/2+1/2 √37 (Doesn't work in original inequality)

5 0
3 years ago
70% of 120 = 120x70/100 <br> How do you figure this out
Sati [7]
10% of 120 = 12
12 x 7 = 84
70% = 84

120 x 70 = 8400
8400 / 100 = 84

It’s either showing you that both sides of the equation equal to the same thing or that you can find 70% of 120 by using the steps on the right
3 0
3 years ago
The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on re
MaRussiya [10]

Answer:

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

Step-by-step explanation:

Given claim : From the time shoots are planted 90 days on average are required to obtain the first berry.

. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed.

As we know that the null hypotheses shows there is no statistical difference between the groups but the alternative hypothesis is opposite to it, it shows there is difference.

Thus , the correct hypotheses will be :-

\text{Null hypothesis}: H_0:\mu=90\\\\\text{Alternative Hypothesis}:\mu\neq 90

3 0
3 years ago
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this in
allsm [11]

Answer: what of the following

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELP me this Solve please
Arlecino [84]

Answer:

Cannot solve fir x because traingles are not similar

Step-by-step explanation:

11+8+12=15+10+x

31=25+x

X=31-25

X=6

4 0
3 years ago
Other questions:
  • Sophia and Scott each open a bank account with an initial deposit of $50 each. Scott planned to save 30% of his earnings from hi
    8·1 answer
  • The answer to the question
    9·1 answer
  • The next number in the sequence -5, -2, 4, 13 is 25. Is this conjecture true or false?
    6·1 answer
  • Question is attached​
    9·1 answer
  • Check up 1
    15·1 answer
  • Determine the factors of x^2 - 7x - 10.
    5·2 answers
  • Help<br> Please ..................
    6·2 answers
  • Can someone please help me​
    11·1 answer
  • Please help me thank you
    5·2 answers
  • When you have a power raised to a power, we can simplify the expression
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!