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solong [7]
3 years ago
12

Describe the graph of y = -|x + 4| - 5.

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

6

Step-by-step explanation:

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A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
erma4kov [3.2K]

Answer:

The area of the shaded region is 148.04 cm².

Step-by-step explanation:

It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.

The sides of the rectangle are:

l = 7 cm

b = 6 cm.

The radius of the circle is, r = 6 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

                                            =[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04

Thus, the area of the shaded region is 148.04 cm².

8 0
3 years ago
Read 2 more answers
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
Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.
tatiyna

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * e^{-x}

Assuming x = -2, we'd have:

100 * 2.7182^{-2}

= 271.82^{-2}

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

#SPJ1

6 0
2 years ago
i o n f e h y=x3- 3x2- 9 x + 2 The largest and smallest values ​​of the function [ - 2 ; 4 ]At intervals.
Oksana_A [137]

Answer:

Step-by-step explanation:

Given the function :

y=x³ - 3x² - 9x + 2. The largest and smallest values ​​of the function at interval [-2, 4]

We substitute x values in the interval (-2 to 4) into the equation and solve for y

At x = - 2

y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0

At x = - 1

y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7

At x = 0

y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2

At x = 1

y = (1)³ - 3(1)² - 9(1) + 2 = - 9

At x = 2

y = (2)³ - 3(2)² - 9(2) + 2 = - 20

At x = 3

y = (3)³ - 3(3)² - 9(3) + 2 = - 25

At x = 4

y = (4)³ - 3(4)² - 9(4) + 2 = - 18

Function is greatest at

7 0
3 years ago
Convert from fraction to decimal 7/9
Fudgin [204]

Answer:

0.77777778

Step-by-step explanation:


4 0
3 years ago
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