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rewona [7]
3 years ago
12

Which is the completely factored form of 3x^2-12x-15

Mathematics
1 answer:
Luba_88 [7]3 years ago
6 0

Find the GCF (Greatest Common Factor)

GCF = 3

Factor out the GCF ( Write the GCF first. Then, in parentheses, divide each term by the GCF)

3(3x^2/3 + -12x/3 - 15/3)

Simplify each term in parentheses

3(x^2 - 4x - 5)

Factor x^2 - 4x - 5

<u>3(x - 5)(x + 1)</u>

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61 × 5 in distributive property ​
Doss [256]

Answer:

305

Step-by-step explanation:

61 x 5 = 305

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These dot plots show hourly earnings for a sample of workers in two
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The answer to this question is option C
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Determine the value of x in the diagram.<br> x<br> 2x<br> 2x
ryzh [129]

Answer:

x = 60

Step-by-step explanation:

The sum of exterior angles in a rectangle is equal to 360

so to find the value of x we need to use all given values and write an equation:

x + 2x + x + 2x = 360 add like terms

6x = 360 divide both sides by 6

x = 60

5 0
2 years ago
One number is 6 times another number. it is also 12 more than twice the other number. Find the numbers.
stepan [7]

The numbers are 3 and 18

Step-by-step explanation:

  • Step 1: Let one number be x. Then the other number = 6x.

Also, 6x = 12 + 2x

⇒ 4x = 12

⇒ x = 3

⇒ 6x = 18

6 0
3 years ago
HELPPP!!!!!!
Furkat [3]
<h3>Answer: Choice D)  31.2 miles</h3>

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

  • angle A = 107 degrees
  • side c = side AB = 24 miles
  • angle B = 42 degrees
  • angle C = 31 degrees

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

8 0
3 years ago
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