All categories

2 years ago

If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).

Mathematics

1 answer:

Airida [17]2 years ago

8 0

Answer:

Given

P( x) = 8x

R ( x) = 9x - 8

Step-by-step explanation:

P(x) . R ( x) 

= 8x ( 9x - 8 )

= 72x^2 - 64x

You might be interested in

Plz help me tyyysmmm

ch4aika [34]

Answer:

$60 \sqrt{2}$

7 0

2 years ago

A rivers current flows at a rate of 2.4 miles per hour. how many feet per second is this

icang [17]

Answer:

Step-by-step explanation:

0.6 per second

3 0

3 years ago

Samir is trying to decide between two checking account plans. After researching plans at two banks, he finds that Unity Bank off

GREYUIT [131]

Answer:

The monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

Step-by-step explanation:

Step 1 : Write the formula for calculating a monthly compound interest rate and for calculating an annually compounded interest rate.

Monthly compound interest rate = P(1+r/n)^nxt

n=12 (number of months in a year)

t=1 (number of years)

Annually compound interest rate = P(1+r/n)^nxt

n=1 (because it is for 1 year only)

t=1 (number of years=1)

Step 2 : Lets assume that P is $100 in both banks and time is 1 year.

Step 3 : Lets substitute the values to find out which one is better.

Monthly compound interest rate = P(1+r/n)^nxt

Monthly compound interest rate = 100(1+0.14/12)^12x1

Monthly compound interest rate = 114.93

114.93 - 100 = $14.93 per month

14.93 x 12 = $179.16 for 12 months or 1 year

Annually compound interest rate = P(1+r/n)^nxt

Annually compound interest rate = 100(1+1.6/1)^1x1

Annually compound interest rate = 260

260-100 = $160 for 1 year

Therefore, the monthly compounded interest rate of 0.14% of Unity Bank is a better plan.

8 0

3 years ago

Read 2 more answers

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Aleks [24]

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

6 0

3 years ago

The following table shows the amount of lemon flavor and water needed in four punch recipes. Punch Recipes Lemon flavor Water Re

Sauron [17]

Answer:

recipe 2

Step-by-step explanation:

4 0

2 years ago

If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).​

If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).