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Zinaida [17]
2 years ago
8

7. Solve the inequality.

Mathematics
2 answers:
Inga [223]2 years ago
7 0

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

klio [65]2 years ago
3 0

Answer:

d) all real numbers

Step-by-step explanation:

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They washed 56 cars because 672/12=56

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15m + (- 5m) combine like terms
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Answer:

10 m

Step-by-step explanation:

15m - 5m = 10 m

both numbers have m which are alike

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What are the four major categories of securities? How are they evaluated?
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Answer:

Cash, Bonds, Stocks and Mutual funds

Step-by-step explanation:

The four major categories of securities are:  

  1. Cash
  2. Bonds
  3. Stocks
  4. Mutual funds

These 4  major categories are evaluated as given below:  

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5 0
3 years ago
A box contains 48 snack size bags of popcorn
Vika [28.1K]

The answer should be 15/24 of an ouce beacause 35 minus 5 ounces because the box weighs 5 ounces when it is empty. Then, you need to do 30 dibided by to to get 30/48 which is reduced to 15/24.

5 0
3 years ago
A rectangular field has dimensions of (2x-3) yards and (x+4) yards. the area of the field is 285 square yards. what are the leng
trasher [3.6K]

The area of a rectangle is given by the multiplication of its dimensions:

\text{Area} = \text{width} \times \text{length}

In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:

285 = (2x-3)(x+4)

If you expand the right hand side, you have

285 =  2 x^2+ 5 x-12

And if you move all terms to the right hand side, this becomes

0 =  2 x^2+ 5 x-297

This is a quadratic equation, since it is in the form ax^2+bx+c=0, where a = 2,\ b=5 \text{ and } c = -297

If you plug these values in the generic formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

you get

x = \dfrac{-27}{2} \text{  or  } x = 11

Let's see which dimensions they yield:

x = \dfrac{-27}{2} \implies 2x-3 = -30,\quad x+4 = \dfrac{-19}{2}

But the dimensions of a rectangle can't be negative, so we can't accept this answer.

The other solution yields

x = 11 \implies 2x-3 = 19,\quad x+4 = 15

So these are the dimensions of the rectangle

6 0
3 years ago
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