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2 years ago

Ndelaria estimates that the drama club sold 400 tickets to the school play. The

Mathematics

1 answer:

vredina [299]2 years ago

8 0

89% he got wrong percent

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If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)

olganol [36]

Answer:

$4^x-5x-14$

Step-by-step explanation:

$f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14$

6 0

3 years ago

Read 2 more answers

A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t seconds after launch is given by

german

Step-by-step explanation:

A ball is launched straight up in the air from a height of 6 feet. The velocity as a function of time t is given by :

f(t) = -32 t+285

Height of the ball is :

$h(t)=\int\limits{f(t){\cdot} dt}\\\\h(t)=\int\limits{(-32t+285){\cdot} dt}\\\\h(t)=-16t^2+285t+C$

C is constant. Here the ball is launched from a height of 6 feet. So,

$h(t)=-16t^2+285t+6$

At t = 2 s, $h(t)=-16(2)^2+285(2)+6=512\ m$

At t = 9 s, $h(t)=-16(9)^2+285(9)+6=1275\ m$

Between 2 s and 9 s, the ball's height changed is : 1275 - 512 = 763 m.

6 0

3 years ago

Which value c makes the expression x² + 2x + c a perfect square trinomial?

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

Taking c = 1 :

x² + 2x + 1
x² + x + x + 1
x(x + 1) + 1(x + 1)
(x + 1)(x + 1)
(x + 1)² ⇒ Perfect square trinomial

4 0

1 year ago

A receipe calls for 3/8 cup of chocolate chips and 1 1/2 cups of walnuts. Tameka wants to double the recipe. How many cups of wa

kirill115 [55]

Answer:

3 cups

Step-by-step explanation:

1 1/2 + 1 1/2 = 3

8 0

2 years ago

An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-

Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

$\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5$

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

$y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units$

Optimal rent - 838 slips of Gold-Pressed latinum

8 0

3 years ago