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NikAS [45]
3 years ago
7

Add or Subtract to Simplify: (5x + x2 - 4) - (4x - x2 + 6)

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer:

2x to the second power +x−10

Step-by-step explanation:

Let's simplify step-by-step.

5x+x2−4−(4x−x2+6)

Distribute the Negative Sign:

=5x+x2−4+−1(4x−x2+6)

=5x+x2+−4+−1(4x)+−1(−x2)+(−1)(6)

=5x+x2+−4+−4x+x2+−6

Combine Like Terms:

=5x+x2+−4+−4x+x2+−6

=(x2+x2)+(5x+−4x)+(−4+−6)

=2x2+x+−10

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Between the time Iko woke up and lunchtime,the temperature rose by 11.Then by the time he went to bed,the temperature dropped by
dimaraw [331]

Answer:

<u></u>

  • <u>11 + ( - 14)</u>

Explanation:

The complete question is:

<em>Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.</em>

<em />

<em>Write an addition expression for the temperature relative to when iko woke up. </em>

<em />

<h2>Solution</h2>

It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.

Then, relative to when Iko woke up the temperature is:

  • + 11º

Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:

  • +  11º + (- 14º).

If you want the overall change in temperature you do the operation:

  • 11 + (-14) =  11 - 14 = - 3. A net decrease of 3º.

But the answer to this question is the additive expression:

  • 11 + ( - 14) ← answer
4 0
3 years ago
Write all your answers as a fraction.<br> 1. 8/3 - 8/5/
allsm [11]

Answer:

16/15

Step-by-step explanation:

Simplify the following:

8/3 - 8/5

Put 8/3 - 8/5 over the common denominator 15. 8/3 - 8/5 = (5×8)/15 + (3 (-8))/15:

(5×8)/15 + (3 (-8))/15

5×8 = 40:

40/15 + (3 (-8))/15

3 (-8) = -24:

40/15 + (-24)/15

40/15 - 24/15 = (40 - 24)/15:

(40 - 24)/15

| 3 | 10

| 4 | 0

- | 2 | 4

| 1 | 6:

Answer: 16/15

5 0
3 years ago
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income ins
katovenus [111]

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

3 0
3 years ago
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For the function w,w(9)

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Liono4ka [1.6K]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
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