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stiks02 [169]
3 years ago
10

Perform the indicated operation to write given polynomial in standard form: (x+ 2)(2x^2 − 5x+7)

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

So the expression in standard form will be 2x^3-x^2-3x-14        

Step-by-step explanation:

We have given expression (x+2)(2x^-5x+7)

We have to write this expression in standard form

For writing in standard form first we have to multiply the expression

So after multiplication number (x+2)(2x^2-5x+7)=2x^3-5x^2+7x+4x^2-10x-14=2x^3-x^2-3x-14

So the expression in standard form will be 2x^3-x^2-3x-14

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The number of peanuts in bags is normally distributed with a mean of 172.5 peanuts and a standard deviation of 1.9 peanuts.
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2 years ago
Help if you can do this please
olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

  • a parabola is written this way : y=(x-h)²+k
  • h stands for the translation to the left ⇒ 2*3=6
  • k for the units down  ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

  • We khow that a parabola is written this way : y=(x-h)²+k
  • (h,k) are the coordinates of the vertex
  • the maximum value is  7*0.5=3.5
  • we khow tha the derivative of a quadratic function is null in the maximum value
  • so let's derivate (x-h)²+k= x²+h²-2xh+k
  • f'(x)= 2x-2h    h is 1 since the axe of simmetry is x=1
  • f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
  • Now we khow that 1 is the point where the derivative is null
  • f(1)=3.5
  • 3.5=(x-1)²+k
  • 3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

7.

the maximum height is where the derivative equals 0

  • h= -5.25(t-4)²+86
  • h= -5.25(t²-8t+16)+86
  • h=-5.25t²+42t-84+86
  • h=-5.25t²+42t+2

Let's derivate it :

  • f(x)= -10.5t+42
  • -10.5t+42=0
  • 42=10.5t
  • t= 42/10.5=4

When the height was at max t=4s

  • h(max)= -5.25(4-4)²+86 = 86 m

h was 86m

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it said every 4 miles <span>Vanessa jogged, Cody jogged 3 miles.

so

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that means 

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because

Cody will always jog 75% of  how much Vanessa joged 

so say that

</span><span>Vanessa jogged 50 miles

all you do is take 75% of how much </span>Vanessa jogged

and that should be how much Cody joged 

hopes this helps!
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