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3 years ago

Please help me with this question

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

P = (2, 3)

Step-by-step explanation:

P is a local minimum, so can be found from the upper zero of the derivative.

y' = 0 = 3x^2 -8x +4

0 = (3x -2)(x -2)

x = 2/3, x = 2

So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:

y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3

The coordinates of P are (2, 3).

A graphing calculator confirms this result.

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NEED HELP ASAP, WILL MARK BRAINLIEST!!!

EastWind [94]

Answer:

7. -

a. 3.5 or 7/2 hours

b. 24.5

c. After 7 hours (and at the beginning when t=0)

8. -

a. 4 seconds

b. 1 second

c. 54 meters

Step-by-step explanation:

7. M(t)=-2t^2+14t

M’(t)=-4t+14

-4t+14=0

4t=14

2t=7

t=7/2

b) M(7/2)=24.5

M(t)=0

-2t^2+14t=0

t^2-7t=0

t(t-7)=0

t=0, 7

h(t)=0

-6t^2+12t+48=0

t^2-2t-8=0

(t-4)(t+2)=0

t=-2, 4

t=4

h(t)=-6t^2+12t+48

h’(t)=-12t+12

h’(t)=0

-12t+12=0

12t=12

t=1

c) h(1)=54

I hope this helps; please vote brainliest!

3 0

3 years ago

One positive integer is 1 less than twice another. The sum of their squares is 106. Find the integers.

neonofarm [45]

They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).

substitute the value for x into the second equation.

(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5

substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.

our answers are 5 and 9.

8 0

3 years ago

3x-2(x+3)=4x-9-x is the question

kozerog [31]

Answer:

$\large\boxed{x = 7}$

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

$\large\boxed{x = 7}$

Hope this helps :)

8 0

3 years ago

What is the simplified form of the following expression

Rasek [7]

The second option is the answer

7 0

3 years ago

Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavende

vfiekz [6]

Answer:

no pictur no answer

Step-by-step explanation:

8 0

3 years ago