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Misha Larkins [42]
1 year ago
15

2x^2+8x-3=-1 Solve by completing the square.

Mathematics
1 answer:
algol131 year ago
8 0

Answer:

step 1. Halve everything

x^2+ 4x - 0.5 = 0

step 2. Halve the coefficient of x so you can write down an equivalent for x² + 4 (that is, (x + 2)^2 - 4 )

(x + 2)² - 4.5 = 0

step 3. Isolate the squared term:

(x + 2)^2 = 4.5

step 4. Take square roots of both sides, recognising that a square root can be positive or negative:

x + 2 = ±√4.5

step 5. Make x explicitly

x = -2 ±√4.5

And there you are with two solutions.

Step-by-step explanation:

hope this helps if not let me know have a great day

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If 2k - 3 = 9 (k+7)-3 then k is ????
m_a_m_a [10]

Answer:

k= -9

Step-by-step explanation:

2k-3=9k+63-3     [expand the 9(k+7) first]

2k-9k=63-3+3     [put the like terms together]

-7k=63                 [do the simple math]

k= 63 ÷ by -7

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4 0
2 years ago
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A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi
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Answer:

B. 12.5

Step-by-step explanation:

We have the lowe confidence interval = 185

The upper confidence interval = 210

Mean of X = (lower confidence + upper confidence interval)/2

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= 197.5

The margin of error = the upper confidence interval - mean of X

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3 years ago
Substitute<br>x+y =200<br>9.5x+27y=4000​
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3 years ago
Which number is between 6 1/8 and /64?
gayaneshka [121]
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Ymorist [56]

Answer:

357.1573 (If you don't round)

Step-by-step explanation:

To find area of a rectangle is to multiply length by width, which in this situation would be 15 by 16.6, which is equal to 249. Next, we need to add this to the area of the semicircle. The area of a semicircle is equal to 1/2 * pi * radius^2 (Because a semicircle is half a circle and a circle's area is pi * radius^2). The radius is equal to half the diameter, which in this case is 16.6. 16.6/2 = 8.3, so the radius is 8.3. If we plug this into the equation, we get that 108.1573 is the area of the circle (If you use 3.14 as pi). 108.1573 + 249 is equal to 357.1573.

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