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Temka [501]
3 years ago
11

(s – 7)^2= 0 then, what is the value of: (s-9)(s + 3)?

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

s² - 6s - 27

Step-by-step explanation:

(s - 7)² = 0

s² + 49 - 14s = 0

Now,

(s - 9)(s + 3)

(s × s) + (s × 3) - (9 × s) - (9 × 3)

s² + 3s - 9s - 27

s² - 6s - 27

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Express your answer in scientific notation.
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It’s 1.77 times 10to the 6th
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3 years ago
A science teacher has a supply of 50% sugar solution and a supply of 80% sugar solution. How much of each solution should the te
mash [69]
How much of each solution should the teacher mix together to get 105 ML of 60% sugar solution for an experiment?

1. Look at how 60% is closer to the solution of lower concentration (50%). You can deduce that you will be mixing a higher volume of the 50% solution.

2. All 4 answers add up to 105ml.

3. The intuitive answer is the first option:
70 ML of the 50% solution and 35 ML of the 80% solution

4. Let's check whether point 3 is true.
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3 0
3 years ago
In a study of pleas and prison​ sentences, it is found that 6060​% of the subjects studied were sent to prison. Among those sent
Dovator [93]

Answer:

a. 40 %

b. 34.3 % ( approx )

Step-by-step explanation:

Let S is the event of the subjects studied that were sent to prison,

S' is the event of the subjects studied that won't sent to prison,

G is the event of pleading guilty,

G' is the event of not pleading guilty,

According to the question,

P(S) = 60% = 0.6 ⇒ P(S') = 1 - P(S) = 1 - 0.6 = 0.4,

P(S∩G) = 46% of 60% = 0.46 × 0.60 = 0.276,

P(S'∩G) = 36% of 40% = 0.36 × 0.40 = 0.144,

P(G) = P(S∩G) + P(S'∩G) = 0.276 + 0.144 = 0.42

a. The of getting someone who was not sent to prison, P(S') = 0.4,

b. the probability that this person was not sent to prison when it is given that the subject entered a guilty​ plea,

P(\frac{S'}{G})=\frac{P(S'\cap G)}{P(G)}=\frac{0.144}{0.42}\approx 0.343=34.3\%

7 0
4 years ago
How many units the function y = |x - 8| is translated from the parent function?
PtichkaEL [24]

Answer:

8 Units, let me know if you didn't understand anything.  

Step-by-step explanation:

Translation is the simple movement of just left, right, up or down.  when dealing with the absolute value function here are the transformations.

A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D.  B is the horizontal shrink, so you divide all x  values by B except for where x=C.  C is the horizontal shift, which is a translation.  C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left.  it could also look like |x + C|.  keep in mind, +C is actually -C because - -C = C.  D shifts up and down, so it is also a translation.  if D is positive it moves up and if D is negative it moves down.

Nowthe only transformation in your problem is -8, which is a horizontal shift to the right.  so the graph moves 8 to the right.  There is your answer, 8 units.

6 0
3 years ago
Can someone please help me
stepan [7]

Step-by-step explanation:

it will be around $90.86

4 0
3 years ago
Read 2 more answers
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