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4 years ago

Solve the equation for x, where x is a real number (5 points): -2x^2 + 5x - 10 = 3

1 answer:

3 0

Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                      x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                      x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
                                      x = [-5 ± √(25 - (104) ) ] / ( -4 )
                                      x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.

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3 years ago

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Solve 6 11/12 - (2 1/4 + 3 2/3). Do the operation in parentheses first. Show all your steps.

Leto [7]

Answer:

Step-by-step explanation:

1. Add: 2 1/4 + 3 2/3 = 5 11/12

2. Subtract: 6 11/12 - 5 11/12 = 1

So, 6 11/12 - (2 1/4 + 3 2/3) = 1

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2 years ago

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Jessica has some round stickers. Each sticker has a radius of 2 cm. She is trying to cover as much of a sheet of paper that is 2

nata0808 [166]

Answer:

189.12 cm²

Step-by-step explanation:

If the radius of the stickers is 2 cm, then the diameter of each sticker is 4 cm.

1. Using this, divide each length of the sheet of paper by the diameter of 4 cm to see how many stickers can fit without overlapping.

24 ÷ 4 = 6 stickers

33 ÷ 4 = 8.25 = 8 stickers (only eight whole stickers will fit without overlap)

This means there can be a total of 48 stickers because 6*8 = 48.

2. Find the area of one sticker. The formula for the area of a circle if πr² (pi times radius squared) with 3.14 equal to π.

3.14 · 2² → 3.14 · 4 = 12.56 cm²

3. Multiply the area by the number of stickers that can fit on the sheet of paper (48 stickers).

12.56 · 48 = 602.88 cm²

4. Find the area of the sheet of paper. The formula for the area of a rectangle is length · width.

24 · 33 = 792 cm²

5. Subtract the area of the stickers from the area of the sheet of paper to solve for the remaining bare paper around the stickers.

792 - 602.88 = 189.12 cm²

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4 years ago

An owner of an repair service Company eliminates that for every 30 hours a repair person is on the job he can bill for only 72%

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Answer: He is idle for 8.4 hours.

Step-by-step explanation:

Since we have given that

Number of hours he repairs =30 hours

Percentage of hours he worked = 72%

Remaining percentage of hours he remains idle is given by

$100-72\\\\=28\%$

So, Number of hours he is idle for a driving is given by

$0.28\times 30\\\\=8.4\ hours$

Hence, he is idle for 8.4 hours.

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3 years ago

Is 1250mL or 1.25 L bigger

Nadya [2.5K]

1.25 L = 1250 mL making it equal to 1250 mL

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3 years ago