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Phantasy [73]
3 years ago
5

Factor 4x^2 + 12x + 5

4x - 5" alt="12x^{2} - 4x - 5" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

Answer:

(2x + 5)(2x + 1).

(6x - 5)(2x + 1).

Step-by-step explanation:

4x^2 + 12x + 5.

Use the 'ac' method:

a * c = 4 * 5 = 20  so we need 2 numbers whose product is 20 and whose sum is +12.:-  2 and 10 look good, so we write:

4x^2 + 2x + 10x + 5

Now we factor by grouping:-

= 2x(2x + 1) + 5(2x + 1)

= (2x + 5)(2x + 1)   (answer).

12x^2  - 4x  - 5

ac = 12*-5 = - 60  and  we need 2 numbers sum to -4 .  these numbers could be  -10 and + 6:

12x^2 + 6x - 10x - 5

= 6x(2x + 1) - 5(2x + 1)

= (6x - 5)(2x + 1) (answer).

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Transitive Property: If 3x + y = 7 and 7 = 5x – 2y, then ___.
dimulka [17.4K]

Answer:

3x+y=5x-y

Step-by-step explanation:

4 0
3 years ago
How many grams must be adde to 970g to make 1 and a half kg
madam [21]

Answer:

530 grams

Step-by-step explanation:

970 grams = 0.970 kg

1 kg = 1000 grams

Thus: 500+30 = 530 grams

3 0
3 years ago
Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The tea
CaHeK987 [17]

Answer: 18

Step-by-step explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

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1) x + y = 26

:

2) 2x + 3y = 60

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solve equation 1 for x and substitute in equation 2

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x = 26 - y

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2(26 - y) +3y = 60

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52 -2y +3y = 60

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y = 8

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x = 26 - 8 = 18

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******************************

The team made 18 2-point shots

5 0
3 years ago
Could I get some help in here​
IgorC [24]

Answer:

  98 ft²

Step-by-step explanation:

There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...

  A = (1/2)(14 ft)(14 ft) = 98 ft²

Of course the area of the square from which it is cut is ...

  A = (14 ft)² = 196 ft²

So, the net area of the two triangles shown is ...

  A = (196 ft²) - (98 ft²) = 98 ft²

_____

Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...

  A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)

We can factor out 7 ft to get ...

  A = (7 ft)(x ft + (14 -x) ft)

  A = (7 ft)(14 ft) = 98 ft²

3 0
3 years ago
5
Bezzdna [24]

Answer:

120

Step-by-step explanation:

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6 0
2 years ago
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