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3 years ago

10

If using the method of completing the square to solve the quadratic equation x 2 − 9 x − 8 = 0 x 2 −9x−8=0, which number would h

ave to be added to "complete the square"?

1 answer:

Stels [109]3 years ago

6 0

Answer:

Add 81/4 to both sides.

Step-by-step explanation:

x^2 − 9x − 8 = 0

x^2 - 9x = 8

Take the coefficient of the x term: -9

Divide by 2: -9/2

Square it: 81/4

Add 81/4 to both sides.

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Last year, 800 students attended the career fair at west high school. this year,the number of students who attended the career f

Delvig [45]

Answer:

840

Step-by-step explanation:

Last year, 800 students attended the career fair at West High School.

And, this year the number of students who attended the career fair increased by 5%.

We are asked how many students attended the career fair at West High School this year.

Therefore, the number of students attended the career fair at West High School will be $800[1+\frac{5}{100} ] =800 \times 1.05 = 840$ . (Answer)

3 0

2 years ago

One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish.

Dimas [21]

Answer:

The ratio of the amount for swordfish to the amount of salmon is 6:4

Step-by-step explanation:

Given as :

The price for 1 pound of swordfish = The price of 1.5 pound of salmon

So, On this relation

The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon

i.e The price for 2 pound of swordfish = The price of 3 pound of salmon

Now According to question

Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39

Let the money she pay for swordfish = 2 sw

And The money she pay for salmon = 3 sa

∵, The total money she pay for both = $ 39

I.e 2 sw + 3 sa = 39

As 2 sw = 3 sa

So, 3 sa + 3 sa = 39

Or, 6 sa = 39

or, sa = $\frac{39}{6}$ = $\frac{13}{2}$

∴ sw = $\frac{13}{2}$ × $\frac{3}{2}$

or, sw = $\frac{39}{4}$

Now, the ratio of the amount for swordfish to the amount of salmon = $\frac{\frac{39}{4}}{\frac{13}{2}}$

I.e The ratio = $\frac{6}{4}$

Hence The ratio of the amount for swordfish to the amount of salmon is 6:4

Answer

3 0

3 years ago

В рулоне 32 метров ткани. Отрезали одну восьмую часть. Сколько

chubhunter [2.5K]

Answer:

28 meters

Step-by-step explanation:

<u><em>The question in English is</em></u>

On a 32-meter roll of fabric, it cuts an eighth of the total. How many meters of fabric are left in a roll?

step 1

we know that

To find out how many meters of fabric were cut, multiply the total meters by the fraction that was cut

$32(\frac{1}{8})=4\ m$

step 2

To find out how many meters of fabric are left, subtract the meters of fabric that were cut from the total meters of fabric

so

$32-4=28\ m$

6 0

3 years ago

Does 3/20 have a repeating decimal form

olga_2 [115]

nope, this answer is 0.15

6 0

2 years ago

the difference between two numbers is 9. three times the smaller is equal to twice the larger. what are the numbers?

Sergio039 [100]

Answer: 27 and 18

Step-by-step explanation:

x - y = 9 → x = 9 + y

3y = 2x

3y = 2(9 + y)

3y = 18 + 2y

3y - 2y = 18

y = 18

2x = 3(18)

2x = 54

x = 27

x - y = 9

27 - 18 = 9

9 = 9

4 0

2 years ago