MATHEMATICS HIGH SCHOOL

Which of the following correctly completes the square for the equation below?x^2+2x=19
a. (x+2)^2=20
b. (x+1)^2=23
c. (x+1)^2=20
d. (x+2)^2=23

Answers

Answer 1
Answer:

Answer:

c. (x+1)^2=20

Step-by-step explanation:

Since, for getting a perfect square on the left side of a quadratic equation we follow the following steps,

Step 1 : Make 1 as the coefficient of x^2.

Step 2 : Add both side the square of a number which is half of the x's coefficient.

Given equation,

x^2+2x=19 -----(1)

Here, the coefficient of x^2 is already one.

And, the middle term is 2,

Half of 2 is 1

Also, 1² = 1

Thus, add 1 on both sides of equation (1),

x^2+2x+1 = 19 + 1

(x+1)^2 = 20    ( Because (a+b)² = a² + 2ab + b² )

⇒ Option C is  correct.
Answer 2
Answer: The answer is :

c. (x+1)²=20

To check:
(x+1)²=20                          (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19

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You calculate the following answer to a problem: 12.655 cm. You are asked to round your answer to four significant figures. Which answer is correct?a. 12.66 cm
b. 12.65 cm
c. 12.60 cm
d. 12.70 cm

Answers

Answer: a. 12.66 cm

Step-by-step explanation:

Given value: 12.655 cm

Here in the given value there area five significant figures.

If we need to round the value to four significant figures then we need to round the given value to the nearest hundredth.

Since, the last digit (hundredth and thousandth place) is 55 which is nearest to 60.

Then the the required answer after round off to the  nearest hundredth will be :-

12.660\ cm=12.66\ cm
A, 12.66 cm as 55 is above 50 which mean you have to round it to the next tenth figure which is 6.

In a refrigerator, there are 6 bottles of soft drinks (each a different brand) and 8 cans of juice (each a different type). How many combinations can be made with one soft drink and one fruit drink?a. 1
c. 36
b. 14
d. 48

Answers

The number of ways of choosing 1 soft drink from 6 soft drinks is 6C1 = 6!/((6-1)! * 1!) = 6!/(5!) = (6*5*4*3*2*1)/(5*4*3*2*1) = 6.

Similarly, the number of ways of choosing 1 fruit juice from 8 cans of juice is 8C1 = 8!/((8-1)! * 1!) = 8!/7! = 8

number of combinations of 1 soft drink AND 1 fruit drink = 6 x 8 = 48

Answer: D [48]

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Answers

16 cups = 128 fl oz .
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Answers

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Answers

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1. Jonathan bought 10lb of flour at $7.50. He had a store coupon for $0.79. What was thefinal price for the flour?
the answer and work

Answers

Answer:

6.71

Step-by-step explanation:

The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.
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