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olasank [31]
3 years ago
13

Factor the expression 5x^2-18x+9

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:

<em>(5x−3)(x−3)</em>

Step-by-step explanation:

For a polynomial of the form

ax2+bx+c, rewrite the middle term as a sum of two terms whose product is

a⋅c=5⋅9=45 and whose sum is b=−18.

5x2−3x−15x+9

Factor out the greatest common factor from each group.

x(5x−3)−3(5x−3)

Factor the polynomial by factoring out the greatest common factor, 5x−3.

(5x−3)(x−3)

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1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts
fomenos

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

7 0
3 years ago
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pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0
3 years ago
The value of a piece of machinery, in dollars, after t years is described by the function below.
jenyasd209 [6]

Answer:

$6,100

Step-by-step explanation:

12,500-1600(4)

12,500-6,400=6,100

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Answer:

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Step-by-step explanation:

4 0
3 years ago
There is a bag with 50 popsicles inside. 5
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Answer:

25%

Step-by-step explanation:

We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.

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