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aksik [14]
2 years ago
7

Which of the following constants can be added to x^2- 3x to form a perfect square trinomlal?

Mathematics
1 answer:
creativ13 [48]2 years ago
8 0

Answer:

A 21/4

Step-by-step explanation:

When forming a perfect square trinomial you need to "complete the square".

All of the steps to completing the square when solving an equation:

1.  The leading coefficient must be 1.  

2.  Divide b by 2.

3.  Square (b/2)

4.  Add (b/2)^2 to both sides to keep the polynomial balanced.

5.  You can now write the perfect square trinomial and solve.

x^2 - 3x  

-3/2

(-3/2)^2 = 9/4 = 2 1/4

You might be interested in
Which decimal number is equal to 1/8 ?
goblinko [34]

Convert 1/8" to decimal: numerator is top number - numerator is 1. denominator is bottom number - denominator is 8. divide the top number with the bottom number - 1/8 = 0.125.

4 0
3 years ago
The area of the Pacific Ocean is 63,780,000 square miles. The Atlantic Ocean is 2.27 cross times 10 to the power of 7 square mil
olganol [36]

Answer:

4.11 * 10⁷ square miles

Step-by-step explanation:

Let P = pacific ocean

A = Atlantic ocean

P = 63,780,000 = 6.38 * 10⁷

Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,

The area of A = 6.38 * 10⁷ - 2.27 * 10⁷

The area of the atlantic ocean = 4.11 * 10⁷ square miles

4 0
3 years ago
Read 2 more answers
Amy ordered 6 meals from Food Hub that cost $13.95 each, and she was charged a $10.50 delivery fee.
bezimeni [28]

Answer:

Amy had to pay in total 94.20$ for the meals with delivery

Step-by-step explanation:

6 total meals

6 x 13.95$ = 83.70$ The money payed for the food without the delivery

83.70 + 10.50 = 94.20$ Meals + delivery

6 0
3 years ago
Basir buys 4 small drinks for $6.write and equation represent the cost c, for d small drinks?
maria [59]

Answer:

c = 1.5 d

Step-by-step explanation:

cost of 4 small drinks = $6

cost of 1 small drink    = $ \frac{6}{4} = $1.5

cost of d small drinks = 1.5 d = c

∴ c = 1.5 d

3 0
3 years ago
Please help, At a festival 2/7th of the number of girls was equal to 3/5th of the number of boys.
fenix001 [56]

Answer:

465

Step-by-step explanation:

Let the number of girls at the festival be--------- g

Let the number of boys at the festival be---------b

The conditions are;

2/7 g = 3/5 b ---------------(i)

g-b= 165 ---------------------(ii)---------make g the subject of the expression

g= 165 +b---------------------(iii)--------use this equation in (i)

2/7 (165 +b)= 3/5 b -------multiply both sides by 7

7*2/7(165+b) =3/5*7 b

2(165+b)=21/5 b ------multiply both sides by 5

5*2(165+b) = 21/5*5*b

10(165+b) = 21 b -------open brackets

1650 +10 b = 21 b------collect like terms

1650 = 21 b- 10 b

1650 = 11 b -----divide both sides by 11

1650/11 = 11b/11

150 = b = number of boys

Using equation (ii) where g-b =165  ;  g-150 =165 , g= 165+150 =315 number of girls

Total number of children at the festival = 150+315 =465

7 0
3 years ago
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