What number should be added to both sides of the equation to complete the square? x2 + 3x = 6

Mathematics

1 answer:

Nookie1986 [14]4 years ago

6 0

Answer:

2.25

Step-by-step explanation:

x^2 + 3x =6

Take the coefficient of the x term

Divide by 2

3/2 = 1.5

Square it

1.5^2 =2.25

Add this to both sides of the equation

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Which number sentence is true? A. –39.6 ÷ 4.8 = 8.25 B. –39.6 ÷ (–4.8) = –8.25 C. 39.6 ÷ –4.8 = 8.25 D. –39.6 ÷ (–4.8) = 8.25

Ahat [919]

Answer:

A) 39.6 divided by 8.25 is true.

5 0

3 years ago

Can you please help me with A and B

svetoff [14.1K]

I read:
Farm Maid Yogurt : 6 g of fat in 13 cups
Dairy Delight Yogurt: 5 g of fat in 11 cups.

(This is what I read, which does not represent realistic numbers, likely decimals are missing).

(a) Farm Maid Yogurt
6 g/13 cups = 10 g/x cups
Cross multiply: 6x = 130 => x=130/6=21.67 cups.

(b)
Farm maid : 6 g/13 cups, 6/13 in 13/13 cups => 0.4615 g/cup
Dairy Delight : 5 g / 11 cups, 5/11 in 11/11 cups => 0.4545 g/cup
=> Dairy Delight Yogurt has slightly less fat.

(c) 9 cups of Dairy Delight
5 g / 11 cups = x g / 9 cups
Cross multiply
11x=5*9 g => x=5*9/11 g = 4.09 g

(d) 3 cups of Dairy Delight & 5 cups of Farm Maid.
5 g/ 11 cups = x g / 3 cups
Cross multiply
x=5*3/11 = 1.3636 g

5 cups of Farm Maid
6 g / 13 cups = y g / 5 cups
Cross multiply
y=6*5/13=2.3077 g

Total fat consumed = 1.3636+2.3077 g = 3.6713 = 3.671 g (to the nearest thousandth gram).

4 0

3 years ago

What is the percent of change from $33 to $190?

Flura [38]

That’s the answer! Hope it helps have a great day

475.76

4 0

3 years ago

Your company is considering offering 900 employees the opportunity to transfer to its new headquarters in Ottawa and, as personn

Tresset [83]

Answer:

a) $P(100M) = \frac{100C100*1100C800}{1200C900}$

b) $P(1M) = \frac{100C1*1199C899}{1200C900}$

Step-by-step explanation:

Extract information from question:

Manager = M = 100

Factory Workers = FW = 200

Miscellaneous Staff = MS = 900

Total Workers = 1200

Moving Workers = 900

'Combinations' are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations the formula below is used:

$nCr=\frac{n!}{r!(n-r)!}$