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Charra [1.4K]
3 years ago
12

What number must you add to complete the square? x^2+6x=23

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

9

Step-by-step explanation:

using the formula (b/2)^2 you will divide 6 by 2 and square it. you will get 9. if you add 9 to the left side, you would have to add it on the right side as well (23+9=32). your answer should look like x^2+6x+9=32

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Bob wants to buy a TV that cost $500 plus 8% tax. He is getting a bonus of $45 and a birthday gift of $85 which he plans to use
Genrish500 [490]

Answer:

He needs to work for 40 whole hours

Step-by-step explanation:

In this question, we are tasked with calculating the amount a Tv will cost Bob in terms of the number of hours he needs to work.

Let’s look at the total cost he has to pay.

a. $500

b. 8% tax = 8/100 * 500 = $40

c. He is paying 2 bills of $35 each making a total of 2 * $35 = $70

The total amount he is to pay is thus; 500 + 40 + 70 = $610

Let’s look at his income ;

a. Bonus $45

b. Birthday gift $85

The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130

The balance to pay from his salary would be $610 - $130 = $480

The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work

5 0
3 years ago
Read 2 more answers
How do I figure out how many faces are glued together?
Anika [276]
16 is the answer. I think
8 0
2 years ago
David made fruit punch for his party but accidentally tripped and spilled 5/12 of the punch. How much of the punch was left?
Radda [10]
7/12 of the punch was left; 12-5=7
4 0
3 years ago
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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
Name a line that contains point A
antiseptic1488 [7]
Line AC contains point A in it.

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