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adelina 88 [10]
2 years ago
5

Please help!!! i'll give brainliest and offering 20 pts each!!!

Mathematics
1 answer:
Aleks04 [339]2 years ago
8 0

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

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A coin is tossed 10 times and lands tails up 3 times. What is the experimental probability of the coin landing tails up?
Degger [83]
It's 3/10 since we did it 10 times and it landed tails 3 times
3 0
3 years ago
Simplify 9/4 using fractions. ​
seropon [69]

First to Answer:

The answer is 2 1/4

Have a great day!

Work:

9 divided by 4 is 2.25.

0.25 is equivalent to 1/4 and 2.00 is equivalent to 2.

put those together and you get 2 1/4.

8 0
2 years ago
This is stem and leaf diagrams and there are a few coming up try answer them all for more points each time!!
AURORKA [14]

Answer:

78%

Step-by-step explanation:

Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:

40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95

The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.

The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78

Median for boys = 78%

7 0
4 years ago
Can someone please help me
Ede4ka [16]

Answer:

27.4 km

Step-by-step explanation:

vertical line- y

17 km/y= tan 54

y= 17/tan 54= 25.2 km

25.2/x= cos 23

x= 25.2/cos 23= 27.4 km

7 0
3 years ago
When you convert fron pints to quarts why do you divide
user100 [1]
We divide when converting pints to quarts because pints are smaller units of measurements than quarts, so when converting pints to quarts, our answer will be getting smaller. This is because 2 pints= 1 quart, so since we are trying to find the amount of quarts that the pints can make up, we will always divide the pints by 2. (since 2 pints= 1 quart)
5 0
3 years ago
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