Given the function ƒ(x) = 8x^2 − 14x − 10, find ƒ(−2).

Answers

Answer 1
Answer:

Answer:

f(-2)  =  50

Step-by-step explanation:

What f(-2) simply means is that you will substitute -2  in  f(x) = 8x^2 − 14x − 10.

That is wherever you see x you replace it by 2

f(-2)  = 8(-2)²  - 14(-2)   -  10

        =  8(4)   + 28   - 10   (note (-2)² = -2 × -2 =  4.   Also, -14  × -2 = 28)

           = 32   +  28  - 10

          =  60 -10

          =50

Therefore f(-2)   = 50

Answer 2
Answer:

Answer:

f(- 2) = 50

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = 8(- 2)² - 14(- 2) - 10

       = 8(4) + 28 - 10 = 32 + 28 - 10 = 50


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Jean mixed 3 1/3 qt of yellow paint and 2 1/3 qt of blue paint to make green paintHow many quarts of green paint did Jean make?

Answers

3 1/3+2 1/3 = 
2+3=5
1/3+2/3=3/3
+1=
6 1/3
Blue + yellow = green
3 1/3 + 2 1/3 = 5 2/3
Jean made 5 and 2/3 quarts of green paint.

The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

Answers

Answer: k=-5


Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for p(x)=x^3+(k+8)x+k if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24

p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9

According to the question,

p(2)+p(-1)=0

\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5


The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.

Answers

The correct answer is:

125,000.

Explanation:

For the first turn, there are 50 numbers to choose from.

On each turn of a lock, the numbers can be repeated; this means on the second turn, there are 50 numbers to choose from, and on the third turn, there are 50 numbers to choose from.  This gives us:

50³ = 50×50×50 = 125,000.

Answer:

125000

Step-by-step explanation:

Ur Welcome

A Cart at the top of a 300m hill has a mass of 40kg. what is the carts gravitational potential energy?

Answers

Answer:

The cart gravitational potential energy is 117,600 Joule

Step-by-step explanation:

First lets define what a gravitational potential energy is.

A gravitational potential energy is the energy stored in an object that rise above a certain height surface.

The formula for calculating the gravitational potential energy(P.E) is m×g×h, where m is the mass of the object measured in kilograms(kg), g is the acceleration due to gravity measured in *(m/s²). It is a constant and always equal to 9.8 m/s²   on the earth surface and h is the height of the object above the surface in (m).

The gravitational potential energy is measured in Joules(J).

From the question, mass(m) is given as 40 kg  and the height(h) is 300m

and g=9.8m/s²

Gravitational Potential Energy(P.E) = m×g×h

                                                          =40 ×9.8 ×300

                                                          =117,600 Joules.

Therefore the cart gravitational potential energy is 117,600 Joules.

                                                     

g.p.e = mgh
m for mass = 40 kg
g for gravitational field strength = 10 N/kg
h for height = 300m

Plug them in:
g.p.e = 40 × 10 × 300
         = 120000 J
In terms of kilo joule:
1 kJ = 1000 J
so 120000 J = 120 kJ


12 5/6x-14x+1/6x helpppppp agaiinnn

Answers

I would look it up on google

What is 1/6 as a percent

Answers

Answer:16.66

Step-by-step explanation: