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Katena32 [7]
3 years ago
14

The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x^2+45,000x-

650,000 What is the youngest age for which the average income of a lawyer is $450,000?
Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

1. "Six less than twice a murider."

A. 6 - 2x

B. 2x - 6

C. 6x-2

D. 2 - 6x

2. "Five times the sum of a number and four."

A. 5y + 4

B. 4(y + 5)

C. 5 + 4y

D. 5(y + 4)

3. Which is the correct translation of the given 2(m - 3)?

A. Twice difference of 3 and miste C. Twice the difference of m and 3.

6. Twice the sum of m and 3.6

D. Twice the sum of m and 3.

4. "Ten less than thrice the a number"

A. 10 - 3b

B. 3b - 10

C. 106 - 3

D. 3 - 10b

5. Given, m - 4, complete this: 4

A. minus

B. diminished by

a number

C. subtracted from

D. decreased by

6." The ratio of 7 and a number decreased by 2."

A. 7/(x-2)

B. (71x) - 2

C. 7X-2

D. 7 - 2/x

7. "The difference of 10 and k divided by 4 yields to 2."

A. (10-k)/4 = 2 B. 10 - (k/4) = 2 C. 10K/4 = 2

D.K-10/4 = 2

8. "Four times the sum of 12 and y is equal to 60.

A. 4y + 12 = 60 B. 4 + 12y

C. 4(12) + y = 60 D. 4(12 + y) = 60

9. All of the following are correct except

2x + 4; Twice a pumber

A. increased by B. added to

C. plus

D. more than

= 60

10. "8 times a number decreased by 13 becomes 3."

A. 8x + 13 = 3 B. 86- 13 = 3

C. 13 - 8x = 3

D. 13 + 8x = 3

branleast kpo ang sasagot neto

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A number consists of two digits. The number is 2 more than 8 times the sum of the digits, and if 54 is subtracted from the numbe
Gennadij [26K]

Let the units digit = x

Let the 10s digit = y

Equations

10y + x - 2 = 8 * (x + y)              (1)

10y + x - 54 = 10x + y               (2)

Equation 1

10y + x - 2 = 8 * (x + y)    Remove the brackets on the right

10y + x - 2 = 8x + 8y       Subtract 8y from both sides

10y - 8y + x - 2 = 8x        Subtract 8x from both sides

2y + x - 8x - 2 = 0            Combine

2y - 7x - 2 = 0                  (3)

Equation 2

10y + x - 54 = 10x + y      Subtract 10x

10y - 9x - 54 = y              Subtract y from both sides.

9y - 9x - 54 = 0               Divide by 9

y - x - 6 =  0                     Multiply by 2

2y - 2x - 12 = 0                (4)

Solution

Subtract (3) - (4)

2y - 7x - 2 = 0

2y - 2x - 12 = 0

- 5x + 10 = 0      Subtract 10 from both sides.

- 5x = - 10          Divide by - 5

  x = 2

Use (4) to find y

2y - 2x - 12 = 0         Let x =2

2y - 2(2) - 12 = 0      Remove the brackets

2y - 4 - 12 = 0           Combine

2y - 16 = 0                 Add 16 to both sides.

2y = 16                      Divide by 2

y = 8

Answer 82

I'll leave the check to you, but the answer of 82 is correct.


 



4 0
4 years ago
How is the shape of a child based on the parents shape
klemol [59]

Answer:

The child has chromosomes from both parents, so the child's shape is based on their parents shape.

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
What is the 308th term of the sequence 11,12.5,14,15.5,17...
Alecsey [184]

\huge\boxed{471.5}

The formula for an arithmetic sequence is as follows:

a_n=a_1+(n-1)d

In this formula, a_n represents the nth term of the sequence and d represents the common difference between each term.

Plug in the known values.

a_{308}=11+(308-1)1.5

Subtract.

a_{308}=11+307*1.5

Multiply.

a_{308}=11+460.5

Add.

a_{308}=\boxed{471.5}

6 0
3 years ago
When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to
Dominik [7]
The answer would be 1 3:2
8 0
3 years ago
What value of n makes the equation true?
In-s [12.5K]

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

4 0
3 years ago
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