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yKpoI14uk [10]
3 years ago
5

Solve the quadratic equation by completing the square. x^2 - 10x + 18 = 0

Mathematics
1 answer:
serious [3.7K]3 years ago
3 0
Okay so basically, you subtract 18 on both sides since the 18 doesn't work, making the equation 
<span>x</span>²<span> - 10x = -18
So then you add (b/2)</span>²<span>, which is 25, to both sides, to get 
</span><span>x</span>²<span> - 10x + 25 = 7
</span><span>After this, you factor.
</span><span>(x-5)(x-5) = 7
</span><span>Then you simplify.
(x-5)</span>²<span> = 7
Then you solve for x.
</span>√(<span>x-5)</span>²<span> = </span>√7
x-5 = (+ or -)√7

~ x= 5 (+ or -)√7 ~

Hope this helps!

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Find the sale price of each item. Round to two decimal places when necessary.
Grace [21]

Answer:

8. $35.10

9. $59.63

10. $13.43

11. $70

12. Take the percent you pay (100-the discount) as a decimal and multiply it by the regular price.

Step-by-step explanation:

For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22-78. We use this percent byb  multiplying the price with a decimal. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.

8. Percent off is 22%. We pay 78%=0.78.

45(0.78)=$35.10

9. Percent off is 33%. We pay 67%=0.67.

89(0.67)=$59.63

10. Percent off is 44%. We pay 56%=0.56.

23.99(0.56)=$13.43

11. Percent off is 75%. We pay 25%=0.25.

279.99(0.25)=$70

12. See explanation above.

3 0
4 years ago
Which choice is equivalent to the expression below?<br> -81
mixas84 [53]

Answer:

Well, The expression -81 is equal to -81.

Step-by-step explanation:

-81=-81

7 0
3 years ago
What's the value of the 7 in the number 53.75 give the answer as a fraction
Leona [35]

Answer:

The value of 7 in the number 53.75 is 7/10 and this can be determined by using the arithmetic operations.

Step-by-step explanation:

Given :

Number -- 53.75

The following steps can be used in order to determine the value of 7 in the number 53.75:

Step 1 - Write the given number.

= 53.75

Step 2 - Determine the value of 7 in the above number that is:

= 0.7

Step 3 - Rewrite the value obtained above in the fraction formate.

= 7/10

So, the value of 7 in the number 53.75 is 7/10.

4 0
3 years ago
Find AM in the parallelogram if PN =15 and AO = 6. The diagram is not to scale.
valentinak56 [21]

Answer:

6

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

The diagonals are PN and MO. The point A divides PN into 2 equal segments as well as MO into 2 equal segments.

Since AO = 6, MA should also be equal. Hence, MA (or AM) = 6.

The correct answer is AM = 6

7 0
3 years ago
The time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals is normally distributed wi
Anni [7]

Answer:

Step-by-step explanation:

Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 1

σ = √variance = √0.01 = 0.1

the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as

P(1 ≤ x ≤ 1.1)

For x = 1,

z = (1 - 1)/0.1 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

For x = 1.1

z = (1.1 - 1)/0.1 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

Therefore,

P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34

The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34

8 0
3 years ago
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