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
zhenek [66]
3 years ago
11

Graph the system of inequalities. Y > x+3 y > -2x+1

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The boundary lines of both inequalities are dashed lines, because neither includes the "or equal to" case. Shading is above the boundary line in both cases.

The boundary line of the first inequality has a y-intercept of +3 and a slope of 1, so goes up 1 unit for each 1 unit to the right of (0, 3).

The boundary line of the second inequality has a y-intercept of +1 and a slope of -2, so goes down 2 units for each 1 unit to the right of (0, 1).

The solution space is the top quadrant of the X where the boundary lines cross. That is where the two solution spaces overlap. It includes parts of quadrants I and II.

You might be interested in
A furniture store salesman had $15,200 in total monthly sales last month. He made $912 in commission from those sales.
tatyana61 [14]
We need to find out what percentage $912 is of $15 200. The answer is 6%, if I'm understanding the question correctly.
8 0
3 years ago
Read 2 more answers
The students at Kayla's school are forming teams of three students for a quiz bowl competition. Kayla is assuming that each memb
scZoUnD [109]

There are 2 instances of hhh (all girls) in the 50 trials, so the experimental probability is 2/50 = 4/100 = 0.04.

5 0
3 years ago
A book had a length of 5 inches and a width of 10 inches what is the area of the book
jeka94
50ft squared
{50}^{2}
3 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
valentinak56 [21]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Expand by FOIL (First Outside Inside Last)
  • Factoring
  • Multiple Roots

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Identify</u>

<em>a</em> = x + 3

<em>b</em> = x

<em>c</em> = √117

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                                                                                                (x + 3)² + x² = (√117)²
  2. Expand [FOIL]:                                                                                                 x² + 6x + 9 + x² = (√117)²
  3. Combine like terms:                                                                                       2x² + 6x + 9 = (√117)²
  4. Exponents:                                                                                                      2x² + 6x + 9 = 117
  5. [SPE] Subtract 117 on both sides:                                                                    2x² + 6x - 108 = 0
  6. Factor out GCF:                                                                                               2(x² + 3x - 54) = 0
  7. [DPE] Divide 2 on both sides:                                                                         x² + 3x - 54 = 0
  8. Factor Quadratic:                                                                                            (x - 6)(x + 9) = 0
  9. Solve roots/solve <em>x</em>:                                                                                         x = -9, 6

Since we are dealing with positive values, we can disregard the negative root.

∴ x = 6

4 0
3 years ago
A ball is launched into the air from a height of 12 feet at time t = 0. The function that models this situation is h(t) = -2t2 +
marshall27 [118]

Answer:

Step-by-step explanation:

50

6 0
3 years ago
Read 2 more answers
Other questions:
  • A school ends the year with 651 students. This is a 5% increase from the start of the school year.
    15·2 answers
  • Please help me with this math question
    8·1 answer
  • expectation of 24.0 mm and a standard deviation of 0.3 mm. What are the expectation and variance of the length of the machine pa
    5·1 answer
  • Whats nine рlus ten ?
    9·1 answer
  • Please help !<br>i don't understand !<br>​
    13·1 answer
  • Can you help me pls will make brainest
    8·1 answer
  • JUNIOR MATHEMATICAL CHALLENGE
    10·1 answer
  • X=8, 9, 10 i need help please
    11·1 answer
  • The Turtle's Equation: y= 2x + 12
    15·1 answer
  • The height of an arrow shot into the air can be represented by the equation h=-16t^2+110t+6. what is the max height of the arrow
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!