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3 years ago

Help!! timed! find the domain and range pls!

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

domain: (-infinity, infinity)

range [-41/4, infinity)

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Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago

Two dices are tossed. What is probability that you will see even numbers on both dices? Answer should be in reduced

zimovet [89]

Answer:

3/6

Step-by-step explanation:

Well 3 is half of 6 and if you were to turn that into a fraction it would either be 3/6 or 1/2.

8 0

3 years ago

Use simultaneous equations to solve the following. Three kilograms of jam and two kilograms of butter cost $29 and six kilograms

artcher [175]

Answer:

The cost of 1kg jam is $7 and the cost of 1kg butter is $4

Step-by-step explanation:

Let jam = x

butter = y

3x + 2y = 29 -----(1)

6x + 3y = 54 -----(2)

(1)×2 ->

6x + 4y = 58 -----(3)

(3)-(2) ->

y = 4

suby=4into(2)

6x + 3(4) = 54

6x = 42

x = 7

(Correct me if i am wrong)

6 0

3 years ago

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is

Fofino [41]

Answer:

It will cost is $828.75.

Step-by-step explanation:

Given:

Davis is putting tile in his rectangular kitchen. His kitchen is 13 feet long, and 17 feet wide. The tile davis is installing is $3.75 per square foot.

Now, to find the total cost.

Davis is putting tile in his rectangular kitchen.

Length = 13 feet.

Width = 17 feet.

So, to get the area of kitchen:

Area = length × width

Area = 13 × 17

Area = 221 square foot.

As, the unit rate is given.

Cost per square foot = $3.75.

Now, to get the total cost by using unitary method:

If cost of 1 square foot = $3.75.

So, the cost of 221 square foot = $3.75 × 221

= $828.75.

Therefore, it will cost $828.75.

3 0

3 years ago

Can u guys tell me what 1/4 + 1/8 is cause im in a bind right now pls

Naily [24]

Answer:

3/8

Step-by-step explanation:

1/4 is equal to 2/8.

2/8 + 1/8 = 3/8

I would appreciate brainliest but if not that's ok!

3 0

2 years ago

Read 2 more answers

Help!! timed! find the domain and range pls!​

Help!! timed! find the domain and range pls!