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inessss [21]
3 years ago
8

How do you factor 18x^2-27×+4 ? can you demonstrate it?

Mathematics
1 answer:
Digiron [165]3 years ago
4 0
Well to factor a trinomial (Which is in the form ax^2 + bx + c) You would have to bring the A over to c so you can get x^2 alone. (If their isn't a gcf) You could also try to find what multiplys ac to add to b. but since that is not possible you would rewrite it x^2 -27x + 72 ( by multiplying the a to c) The you would rework it as normal (whatever two numbers multiply to 72 and add to -27. Which would be (x-3)(x-24). Then you would divide by the original A (x-3/18)(x-24/18). Then you would simplify that. (x-6)(x-4/3) and you would take any extra denominators and bring it to the front of the x. Making it (x-6)(3x-4)
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A square is circumscribed about a circle with an 8-inch radius, as shown below. What is the area, in square inches, of the regio
sladkih [1.3K]

Answer:

Option 4. 256 - 64π is the correct option.

Step-by-step explanation:

In the given picture a square is circumscribed about a circle with a side = 2r

where r is the radius of the circle.

Therefore area of the square = (2r)² = 4r² = 4 × 8² = 4 × 64 = 256 in²

Now area of the circle = πr² = π × 8² = 64π in²

Now area of region that is inside the square and outside the circle =

Area of square - area of circle = (256 - 64π) in².

Therefore the answer is (256 - 64π).

8 0
3 years ago
Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
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7 0
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