All categories

3 years ago

Rewrite the equation by completing the square. x^2 + 2x – 48 = 0

Mathematics

1 answer:

slamgirl [31]3 years ago

3 0

Answer:

(x+1)^2 = 49

x = 6 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1 ±7

x = -1+7 x = -1 -7

x = 6 x = -8

You might be interested in

In the number 1934 is a value of 9 in 100 place 10 times the value of the 3 in the tens place

dybincka [34]

no because mathematically 30X10=300 not 900 its would have to be 30X30 to get the product of 900 so therefore no your statement is incorrect

8 0

3 years ago

I ate 4/9 of a ceral box how much ceral do i have left in the box

Solnce55 [7]

Answer:

5/9 of the cereal box.

Hope this helped! :)

7 0

2 years ago

Read 2 more answers

A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.

nikitadnepr [17]

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

1350 is not included in the error interval for x.

Interval notation is $[1250,1350)$ .

Therefore, the error interval for x is $[1250,1350)$ .

7 0

3 years ago

60 is x% of 12. Find the value of x.

Liula [17]

Answer:

Step-by-step explanation:

We can set up a percentage proportion to find the value of x.

$\frac{12}{x} = \frac{60}{100}$

Now we cross multiply:

$100\cdot12=1200\\\\1200\div60=20$

Hope this helped!

4 0

3 years ago

When the expression 10^2021 − 2021 is evaluated, the result is a very large number.

Dafna11 [192]

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 = 18,176.

6 0

3 years ago