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Gnom [1K]
4 years ago
5

Solve this quadratic equation by completing the square. (2x^2 = -8x + 45)

Mathematics
1 answer:
Elza [17]4 years ago
8 0
(2x^2 = -8x + 45) \\ \\ 2x^2 + 8x - 45 = 0 \\ \\ x =  \frac{-8+2 \sqrt{106} }{4} ,  \frac{-8-2 \sqrt{106} }{4} \\ \\ x = - \frac{4- \sqrt{106} }{2} , - \frac{4+  \sqrt{106} }{2} \\ \\ Answer: x = - \frac{4- \sqrt{106} }{2} , - \frac{4+  \sqrt{106} }{2}
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The population in the United States is approximately 3.2× 10^8. A total of 1.4 × 10^6 people immigrated to the United States. De
kodGreya [7K]

Answer:

3.186 x 10^8

Step-by-step explanation:

3.2× 10^8 = 320,000,000

1.4 × 10^6 = 1,400,000

320,000,000 - 1,400,000 = 318,600,000

318,600,000 = 3.186 x 10^8

   - you get to the power of eight, by counting the amount of spaces the decimal moved over (moving to the left increase, but right decreases)

8 0
3 years ago
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lilavasa [31]

Answer:

y - 3 = - 4 ( x + 4)

Step-by-step explanation:

(-4,-3) and (4,1)

Slope = (1 + 3)/(4 + 4) = 2/8 = 1/4

Perpendicular lines, slope is opposite and reciprocal so slope of the line that is perpendicular to the given line is -4

Equation in point slope form, passing thru (-4 , 3)

y - 3 = - 4 ( x + 4)

4 0
3 years ago
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WARRIOR [948]

Answer:

Total amount of fuel =200,000 litres

Amount of fuel used = 130,000 litres

Percentage of the fuel capacity used:

\frac{130000}{200000}  \times 100 =  \frac{13}{20}  \times 100 = 65\% \\

<em><u>65%</u></em> of the fuel is used on this flight.

5 0
3 years ago
A store has clearance items that have been marked down by 35%. They are having a sale, advertising an additional 45% off clearan
wariber [46]
Your answer is 35.75%.

Let’s pretend something at the store is $100. (It will save some math later)

100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55

65 x 0.55 = $35.75

Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.

35.75/100 = x%/100

3 0
3 years ago
Evaluate the following for f(x) = 3(2)^x<br><br>1. f (2) =<br><br>2. f (-1) =<br><br>3. f (10) =​
STatiana [176]

Answer:

1. f (2) = 3 x 2^x-1  

2. f (-1) = -3 x 2^x

3. f (10) =​ 3 x 2^x/10

         

Step-by-step explanation:

8 0
3 years ago
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