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marissa [1.9K]
4 years ago
9

A2+2a-3=0 solving equations by completing the square

Mathematics
1 answer:
Olenka [21]4 years ago
8 0
I assume that you mean a^2 + 2a - 3 = 0

You need to find two numbers that multiply together to give the number 3 and when added give the answer 2 (as in 2a).  In this case the numbers are 3 and 1 (3 x 1 = 3 and 3 - 1 = 2)

Therefore we have
(a + 3)(a - 1) = 0

The values of x which solve the equation are -3 and 1
The reason is that -3 + 3 = 0 and 1 - 1 = 0 : zero times any number is zero


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Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found
Liono4ka [1.6K]
Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.

That means all we need to do is calculate what is 70% of $2075.

Convert 70% into decimal form which is 0.70.

Next, multiply $2075 by 0.70.

$2075*0.70 = $1452.50

The price the travel agent found was $1452.50

Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).


7 0
3 years ago
Solve for x.
REY [17]
The answer is A) b/(c+a)
Hope this helps
4 0
4 years ago
What is 18.4 times 3.40 and the wprk showed
dusya [7]

Decimal division is super easy, let me show you how.

First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.

184*340 = 62560.

Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)

Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.

If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>


There's your final answer. 62.56.


Hope this explanation helped you out. :)

7 0
3 years ago
Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling
lara31 [8.8K]

Answer:

Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

Step-by-step explanation:

Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies wants test whether her goal of shipping 100% orders within 24 hours is achieved or not.

After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.

To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).

Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372  were shipped within 24 hours.

The hypothesis can be defined as follows:

<em>H₀</em>: The proportion of orders that were shipped within 24 hours is not more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ ≥ <em>p</em>₂.

<em>Hₐ</em>: The proportion of orders that were shipped within 24 hours is more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ < <em>p</em>₂.

Thus, Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

8 0
3 years ago
Pe lingNeed 2 yards of fabric for a craft project she has 3 feet already how many inches of fabric does she need still need
icang [17]

Answer:

36 inches

Step-by-step explanation:

12 inches equals 1 foot

There is 3 feet in a yard

2 yards equals 6 feet

1 yard equals 36 inches

3 0
4 years ago
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