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kakasveta [241]
2 years ago
9

Sam missed a question on his Algebra Test. He wrote his work down. Where is his error in solving 3x + 2 = 14?

Mathematics
2 answers:
slavikrds [6]2 years ago
4 0
Answer: x = 4

Explanation:

3x + 2 = 14
3x = 12
x = 4

I’m not sure what the mistakes is but that’s how you solve it.
Snowcat [4.5K]2 years ago
3 0

Answer:

10/3

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

3

x

+

4

−

4

=

14

−

4

3

x

=

10

Step 2: Divide both sides by 3.

3

x

3

=

10

3

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FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0
2 years ago
Find the missing term.(x^12)^5 (X^-2)^9 (_____)^__=(x^40)^5
castortr0y [4]
To answer this problem, we can use the power rule such that the result of the operations of the powers on the left side is equal to power on the right side. In this case, the right side's power is 200. On the left side, the tentative sum is 60 - 18 or equal to 42. Thus, the remaining exponent to be added on the left side is 158. Answer is x^158
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3 years ago
How do you find p and q?
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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A sports club has 38 members. They all play either squash or tennis.
Brut [27]

Step-by-step explanation:

Since we have given that

Total number of members in a sports club = 38

Number of women in the club = 14

Number of women play tennis =10

Number of men play tennis = 8

Since they all play either squash or tennis.

Total number of men in the club is given by

38-14\\\\=24

So, number of men playing squash is given by

24-8\\\\=16

Number of women playing squash is given by

20-16\\\\=4

so, the table is shown below :

                Men         Women     Total

Tennis       16                4               20

Squash       8                10              18

Total          24               14              38

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