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bogdanovich [222]
3 years ago
7

(w - 3)2 = -5w - 4 + 9w​

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

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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
Factor y 2 + 10z - 10y - yz.
dedylja [7]
Y² + 10z - 10y - yz = (y - 10)(y - z)
7 0
3 years ago
What is the remainder when (x3 + 1) is divided by (x2 – x + 1)? <br> x + 1 <br> x<br> 2 <br> 0
Furkat [3]
If I’m not wrong I think it’s x+1
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3 years ago
Austin goes to a trade show that sells reptiles. There is a $5.00 entrance fee. He visited a booth that sold geckos for $35 each
vivado [14]
The answer is D because 35x3 is 105 + the $5 fee is 110
7 0
3 years ago
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?​
inysia [295]

Answer:

0

Step-by-step explanation:

Jordan hasn't got enough money to buy any books, as $11.40<$280.

7 0
2 years ago
Read 2 more answers
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