In the step by step simplification of expression below which property is not used? 3(1+x)
3(x+1)
3(x)+3(1)
3x +3 

A) associative B) commutative C) distributive D) identity

Answers

Answer 1
Answer:  D) identity............
Answer 2
Answer: 3(1+x)=3+3x\n 3(x+1)=3x+3\n 3(x)+3(1)=3x+3\n 3x +3\n\n Answer:D

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A total of $8000 is invested: part at 7% and the remainder at11%. How much is invested at each rate if the annual interest is $760?

Answers

1.)      .07x + .11y = 760
2.)        x + y=8000

we can solve the second equation for either x or y 

y= 8000 - x
or
x=8000 - y

plug 1 of those in to equation 1 (I'll use y=8000 -x)

.07x + .11(8000 -x) = 760

.07x + 880 - .11x = 760

-.04x +880 = 760

-.04x = -120

x=3000

So 3000 is invested in 7% 
     5000 is invested in 11%

Check

(3000 x .07) + (5000 x .11) = 720

210 + 550 = 760

Success!

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?f(x) = (x + 3)2 + 3
f(x) = (x + 3)2 − 6
f(x) = (x + 6)2 + 3
f(x) = (x + 6)2 − 6

Answers

By completing the square, the second orderpolynomial in vertexform f(x) = (x + 3)² - 6 is equivalent to the polynomial in standardform f(x) = x² + 6 · x + 3. (Correct choice: B)

How to find the vertex form of the second order polynomial by algebraic means

In this question we must change the form of the second orderpolynomial from standardform into vertexform. A common method consists in completing the square, that is, to transform part of the polynomial into a perfect squaretrinomial. Now we proceed to find the vertexform of the expression:

1) x² + 6 · x + 3     Given

2) x² + 6 · x + 9 - 6     Modulative property/Existence of additive inverse/Definition of addition

3) (x + 3)² - 6     Associative property/Perfect square trinomial/Result

By completing the square, the second orderpolynomial in vertexform f(x) = (x + 3)² - 6 is equivalent to the polynomial in standardform f(x) = x² + 6 · x + 3. (Correct choice: B)

To learn more on second order polynomials in vertex form: brainly.com/question/20333425

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Answer:

B. f(x) = (x + 3)2 − 6

Step-by-step explanation:

I just did this for "completing the square". Hope this helped!

Which situation shows a constant rate of change?A. The outside temperature compared with the time of day

B. The cost of a bunch of grapes compared with its weight

C. The height of a bird over time

D. The number of tickets sold compared with the number of minutes before a football game

Answers

The answer is most likely B. :)

What number is 218% of 87.5?

Answers

The answer you"re looking for is 190.75 

Evaluate the expression: |10| - 3 × |-2| +5

Answers

10 - 3 × 2 + 5 = 10 - 6 + 5 = 9

Simplify the expression and write your answer as a complex number: 7√49 - √(-16).

Answers

Answer:

\Huge \boxed{ \boxed{\boxed{\bf{49 - 4i}}}}

Step-by-step explanation:

We'll start with the first term: \large \boxed{\tt{√(49)}}. The square root of 49 is 7, so this term simplifies to \boxed{\tt{7 * 7}}, which is 49.

Now let's simplify the second term: \large \boxed{\tt{√(-16)}}. The square root of a negative number is not defined in the real number system, so we need to express it as a complex number. The square root of -16 can be written as 4i, where 'i' represents the imaginary unit (√(-1)). Therefore, √(-16) = 4i.

Now we can rewrite the expression with the simplified terms:

\Large \boxed{\boxed{\bf{49 - 4i}}}

So, the simplified expression, written as a complex number, is 49 - 4i.

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