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kotykmax [81]
3 years ago
13

If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

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Suppose you know that the volume of the following prism is represent by V(x) = -2x^3 + 14x^2 + 120x.
erastova [34]

Step-by-step explanation:

-2x³ + 14x² + 120x

= -2x(x² - 7x - 60)

= -2x(x - 12)(x + 5).

The other 2 dimensions are -2x and (x + 5).

When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.

8 0
3 years ago
What is the value marginal product of labor if p = $10, mpl = $25, and apl = 40? multiple choice $400 $10,000 $250 $1,000
ioda

If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.

The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.

Here,

P= $10

The marginal product of labor (MPL)= $25

The average product of labor (APL)= $40

The value of marginal product of labor= P × The marginal product of labor (MPL)

The value of marginal product of labor= 10×25=$250

Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250

Learn more about the value of marginal product of labor here

brainly.com/question/15072173

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3 0
1 year ago
The length of the hypotenuse of a 30-60-90 triangle is 28 m. Find the length of the side opposite the 30 angle
____ [38]
The answer is 14 m

<span>In a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a) which is the opposite to the 30 angle:
</span>

c = 2a


We have c = 28 m

So: 28 = 2a

      a = 28 / 2 

     a = 14 m

7 0
3 years ago
Read 2 more answers
Darren fed his dog 3/4 pound of canned food and 1 1/3 pounds of dry food today. How many pounds of food was that in all?
Evgen [1.6K]

Answer:

2 1/12 lbs

Step-by-step explanation:

Add the canned and the dry together

3/4 + 1 1/3

Get a common denominator of 12

3/4 *3/3  + 1 1/3 *4/4

9/12 + 1 4/12

1 13/12

1 + 12/12 + 1/12

2 1/12 lbs

3 0
3 years ago
Read 2 more answers
Finn is swimming at a constant speed.
Reil [10]

Answer:

31.25 seconds

Step-by-step explanation:

Examine division

11.6 + 24.4 = 36 m < 50m

and 36 + 37.2 - 73.2m > 50m

50 - 36 = 14m

14 * 23.25/37.2 = 8.75 seconds

7.25 + 15.25 + 8.75 = 31.25 seconds

so it would take him 31.25 seconds to swim 50 meters.

6 0
2 years ago
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