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Anvisha [2.4K]
3 years ago
6

Factor the expression.

Mathematics
2 answers:
Kamila [148]3 years ago
7 0

Answer:

5(5k²+6)(4k-3)

Step-by-step explanation:

100k³ - 75k² + 120k - 90

Take 5 common above:

= 5(20k³ - 15k² + 24k - 18) ------- eq1

First let simplify 20k³ - 15k² + 24k - 18

= (20k³ - 15k²) + (24k - 18) ---------eq2

Factor out 6 from 24k - 18 :

6(4k-3)

Factor out 5k² from (20k³ - 15k²):

5k²(4k -3)

eq2 becomes:   = 6(4k-3) + 5k²(4k -3)

Factor out common term 4k-3

(6+ 5k²)(4k -3) or (5k²+6)(4k-3)

Thus eq1 becomes:

5(5k²+6)(4k -3)

vova2212 [387]3 years ago
4 0

Answer:

The correct answer is Option 1. 5(5k² + 6)(4k - 3)

Step-by-step explanation:

The given expression is,

100k³ - 75k² + 120k - 90

<u>Factor the expression</u>

100k³ - 75k² + 120k - 90

= 5[20k³ - 15k² + 24k - 18]   [Taking 5 as common factor]

= 5[ 5k²(4k - 3) + 6(4k - 3) ]

= 5[(4k - 3)(5k² + 6)]

= 5[(5k² + 6) (4k - 3)]

Therefore the correct answer is Option 1. 5(5k² + 6)(4k - 3)

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Step-by-step explanation:

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2 years ago
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- Maria wants to buy a ring that costs $67.00. She has a coupon for 25% off.
Vilka [71]

Answer:

$16.75

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 67 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 67 is 100%, so we can write it down as 67=100%.

4. We know, that x is 25% of the output value, so we can write it down as x=25%.

5. Now we have two simple equations:

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2) x=25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

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6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 25% of 67

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now we have:

25% of 67=16.75

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3 years ago
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Answer:

x = 20

Step-by-step explanation:

I don't see a y in the diagram.

The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so

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