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olganol [36]
3 years ago
7

3x + 1 < 10 M EXTD 11

Mathematics
1 answer:
otez555 [7]3 years ago
7 0

Answer:

x < 3

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

Step-by-step explanation:

<u>Step 1: Define</u>

3x + 1 < 10

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

  1. Subtract 1 on both sides:                    3x < 9
  2. Divide 3 on both sides:                       x < 3

Here we see that any value <em>x</em> smaller than 3 would work as a solution to the inequality.

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Find the slope (2,5) and (6,2)
Drupady [299]

Answer:

slope =<u>-3</u>

            4

Step-by-step explanation:

slope = <u>y2 - y1</u>

            x2 - x1

        =<u>2 - 5</u>

          6 - 2

       = <u>-3</u>

          4

5 0
3 years ago
Rosie is a real estate agent and is paid the following for commission on sales: 4% for the first $50,000, 2% for the next $100,0
Elena-2011 [213]

Answer:

22,000

Step-by-step explanation:

4%/100=0.04        

0.04*50,000=20,000         || 130,000-50,000=80,000 ||

2%/100=0.02

0.02*100,000= 2,000        || 80,000 - 100,000 ||

To explain it simply, Rosie receives 20,000 in commission for the first 50,000 of the sale. However, she sold a property for 130,000 meaning she also receives 2,000 for the next 100,000. Therefore she receives $22,000 in total on her $130,000 sale.

6 0
3 years ago
What is m2 + m 23? Pls I need ASAP
alisha [4.7K]

Answer:

90 degrees

Step-by-step explanation:

the answer is 90 degrees because when the triangle is a right triangle, the two smaller angles equal 90 degrees.

6 0
3 years ago
Can someone help please, will give brainiest if correct!!!!
Bond [772]

Answer:

AB = 9/2 cm

AB = 4.5 cm

Step-by-step explanation:

The area of small rectangle

x * (x-4) = x^2 -4x

The area of  the big rectangle

The height is 2x +x  and the width is x-2

(2x+x) * (x-2)

(3x) * (x-2)

3x^2 -6x

Add the areas together

x^2 -4x + 3x^2 -6x

4x^2 -10x

This is equal to 36

4x^2 -10x=36

Subtract 36 from each side

4x^2 -10x -36=36-36

4x^2 -10x-36=0

Divide each side by 2

2x^2 -5x -18=0

Factor

(x + 2) (2 x - 9) = 0

Using the zero product property

x+2=0  2x-9=0

x = -2   2x =9

x = -2   x = 9/2

Since we cant have a negative length

x = 9/2

AB = 9/2 cm

5 0
2 years ago
Read 2 more answers
During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with
4vir4ik [10]

Hi,

During halftime of a soccer game, a slingshot launches T-shirts at the crowd. A T-shirt is launched from a height of 5 feet with an initial upward velocity of 72 ft. Per second. The T-shirt is caught 34 feet above the field. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is the range of the function that models the height of the T-shirt over time.

<u>Write the general equation that represents height of the t-shirt as a function of time. </u>

f(t) = -16t^{2} + 72t + 5

2. <u>What is the maximum height of the t-shirt?</u>

<u />t = \frac{-72}{2(-16)} = 2,25                         f(2,25) = -16(2,25)^{2} + 72(2,25) + 5

                                                                = 86 feet

1. <u>How long will it take the t-shirt to reach its maximum height?</u>

2,25 secondes

3. <u>The range describes which values of the graph? What would the range of this graph be? (Write in inequality and interval notation).</u>

height (y)

5 ≤ y ≤ 86        [ 5,86 ]

7 0
3 years ago
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