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fenix001 [56]
3 years ago
9

Factor the trinomial f(x) = 2x² + 5x – 12 ?

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

(x + 4)(2x - 3)

Step-by-step explanation:

Given

f(x) = 2x² + 5x - 12

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × -12 = - 24 and sum = + 5

The factors are + 8 and - 3

Use these factors to split the x- term

2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )

2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term

(x + 4)(2x - 3)

Thus

f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form

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After 3.5 hours ,pasha had traveled 217 miles if she travels at the constant speed how far will she have travelled after 4 hours
vesna_86 [32]

Answer:

248 miles

Step-by-step explanation:

we know that

After 3.5 hours ,Pasha had traveled 217 miles

so

using proportion

Find out how many miles she will have traveled after 4 hours

\frac{3.5}{217}\ \frac{hours}{miles}=\frac{4}{x}\ \frac{hours}{miles}\\\\x=217(4)/3.5\\\\x=248\ miles

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3 years ago
Kim went to the grocery store to get some snacks. She bought 3 bags of chips at 89¢ each, 5 candy bars at 50¢ each, and one thre
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5 0
3 years ago
Evaluate.
aleksandrvk [35]

Answer: -2 4/15

Step-by-step explanation: To properly subtract, we need to find a common denominator. We can list the multiples of 3 and 5 to find the common denominator:

3: 3, 6, 9, 12, 15

5: 5, 10, 15


The first common multiple we see is 15.

Calculation:

3 · 3 = 9

9 + 1 = 10

3 1/3 = 10/3

5 x 5 = 25

25 + 3 = 28

-5 3/5 = -28/5

Now to convert into fifteen as the denominator:

-28/5 = -28 x 3/5 x 3 = -84/15

10/3 = 10 x 5/3 x 5 = 50/15

Now to subtract accordingly:

50/15 - 84/15 = -34/15

Final answer: -34/15 (can be reduced to -2 4/15).

3 0
1 year ago
What is the area of the composite figure?
mars1129 [50]

Answer:

34.9^2

Step-by-step explanation:

Well if one side is 4 cm then the square is 16cm^2.

The area of a circle is pi r^2.

So the radius is 2.

we plug 2 in.

pi 4

12.6/2

6.3

6.3 * 3 = 18.9cm^2

18.9 + 16 = 34.9

5 0
3 years ago
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