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____ [38]
3 years ago
9

Help much needed here

Mathematics
1 answer:
Reil [10]3 years ago
8 0
Hello : let  A(-1,5)    B(5,-4)<span>
<span>the slope is :   (YB - YA)/(XB -XA)
                       (-4-5)/(5-(-1)) =-9/6 = -3/2</span></span>
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Find the last number of the following series
trasher [3.6K]

The answer is 4) 140.

If we closely examine the pattern of the series, we see that after a number is subtracted by a value, it is multiplied by the same value, and then it moves on to the next natural number.

  • 10 - 2 = 8
  • 8 × 2 = 16
  • 16 - 3 = 13
  • 13 × 3 = 39
  • 39 - 4 = 35

The next step, according to the pattern, would be to multiply 4.

  • 35 × 4
  • 140
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A store manager is accepting applications for part-time workers. he can hire no more than 14 people. so far,he has hired 9 peopl
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The manager already hired 9 people. Let x be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired 9+x people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:

9+x \leq 14

If we subtract 9 from both sides, we have

x \leq 14-9=5

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3 years ago
if you deposit $860 in a new account that earns 6.5% simple interest. After 6 months, how much interest will you have learned?
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3 years ago
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a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream
Nonamiya [84]

the coordinates where the bridges must be built is (3,-6) and (6,3) .

<u>Step-by-step explanation:</u>

Here we have , a road follows the shape of a parabola f(x)=3x2– 24x + 39. A road that follows the function g(x) = 3x – 15 must cross the stream at point A and then again at point B. Bridges must be built at those points.We need to find Identify the coordinates where the bridges must be built. Let's find out:

Basically we need to find values of x for which f(x) = g(x) :

⇒ f(x)-g(x)=0

⇒ 3x^2- 24x + 39-(3x - 15 ) =0

⇒ 3x^2- 24x + 39-3x + 15  =0

⇒ 3x^2- 27x + 54  =0

⇒ x^2- 9x + 18  =0

⇒ x^2- 6x-3x + 18  =0

⇒ x(x- 6)-3(x - 6)  =0

⇒ (x-3)(x- 6)  =0

⇒ x=3 , x=6

Value of g(x) at x = 3 : y=3x -15 = 3(3)-15 = -6

Value of g(x) at x = 6 : y=3x -15 = 3(6)-15 = 3

Therefore , the coordinates where the bridges must be built is (3,-6) and (6,3) .

7 0
3 years ago
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