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tatyana61 [14]
3 years ago
11

Solve 2(x-3)>-3(-3+x) (Picture added, multiple choice)

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

<u>Answer</u><u>:</u><u> </u><u>D</u>

Step-by-step explanation:

2(x - 3) \geqslant  - 3( - 3 + x)

open the brackets [ distributive property ]

2x - 6 \geqslant 9 - 3x

collect like terms:

2x + 3x \geqslant 9 + 6 \\ 5x  \geqslant 15

divide either sides by 5:

\frac{5x}{5}  \geqslant  \frac{15}{5}  \\  \\ { \underline{ \bf{ \:  \: x \geqslant 3 \:  \: }}}

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8. Bob bought a pair of tennis shoes on sale
mr_godi [17]

Answer:

20%

Step-by-step explanation:

So, I would set this up as a proportion-

72          x

90        100

Cross multiply-

100 x 72 = 7200

Divide-

7200/90 = 80

Subtract-

100 - 80 = 20

So, it is a 20% decrease

4 0
3 years ago
What method would you choose to solve the equation 2x^2-7=9
Margaret [11]
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

3 0
3 years ago
Please help me: Ten athletes ran two races of the same length. The scatter plot shows their times. Identify each of these statem
Lemur [1.5K]

The scatter plot has been attached

Answer:

Options C, D & E are true

Step-by-step explanation:

Option A is wrong because from the scatter plot, only four athletes were faster in the second race than in the first one.

Option B is wrong because only 1 athlete had his second race time differing from the first race time by exactly 2 seconds.

Option C is true because exactly 9 of the times for the first race were at least 16 seconds

Option D is true because there are exactly 3 athletes who had the same time in both races

Option E is true because 8 of the times for the second race were less than 17 seconds

4 0
3 years ago
WILL<br><br><br> GIVE <br><br> BRAINLIST <br><br> ANSWERS
enot [183]

Answer:

-10

-I-8I = -8

-(-2) = 4

I-11I  = 11

5² = 25

Answer: -10, -8, 4, 11, 25

6 0
3 years ago
Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. S
Georgia [21]

Answer:

Step-by-step explanation:

Total number of boxes of cookies that Kendal bought to bring to the party is x.

Each box contains 12 cookies. This means that total number of cookies in x boxes would be

12 × x = 12x

She decides to keep two boxes for herself. This means that the total number of cookies that she kept for herself would be

12 × 2 = 24 cookies

She brings 60 cookies to the party.

The equation that can be used to find the number of boxes, x, Kendal bought would be

12x = 24 + 60

12x = 84

x = 84/12 = 7 boxes

6 0
3 years ago
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