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kirill [66]
3 years ago
6

Which statement about the function is true?

Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

The function is negative for all real values of x where -6< x < -2

Step-by-step explanation:

Given f(x) = (x + 2)(x + 6)

The graph of the function is as shown in the attached figure.

As shown, we can deduce the following:

The function is positive for all real values of x where x > -2 and x < -6

The function is zero at x = -2 and x = -6

The function is negative for all real values of x where -6 < x <-2

Compare the observations to the given statements:

So, The true statement is The function is negative for all real values of x where -6 < x <-2

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John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard.
Mandarinka [93]
Let's first define the variables:
 x = width
 300 - 2x = long
 The area will be:
 A = (x) * (300 - 2x)
 A = 300x - 2x²
 We look for the maximum area, for this, we derive:
 A '= 300 - 4x
 We match zero:
 0 = 300 - 4x
 x = 300/4 = 75
 Therefore, the width is:
 x = 75 feet
 The length is:
 300 - 2x = 300 - 2 (75) = 300-150
 150 feet
 Answer:
 Part A:
 
The maximum area will be:
 
A = (150) * (75) = 11250 square feet
 
Part B:
 
The dimensions are:
 
Length = 150 feet
 width = 75 feet
3 0
3 years ago
Complete the ordered pair.<br> The graph of y= sin(2x - 1) passes through the point (___,0).
Westkost [7]

Answer:

(0.5,0)

Step-by-step explanation:

Input the equation into a graphing calculator

4 0
4 years ago
Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm
aleksandr82 [10.1K]

Answer:

<h2>3.11 cm</h2>

solution,

Volume of cylinder=304 cm^3

height=10 cm

Radius=?

Now,

volume = \pi  {r}^{2} h \\ or \: 304 = 3.14 \times  {r}^{2}  \times 10 \\ or \: 304 = 31.4 \times  {r}^{2}  \\ or \:  {r}^{2}  =  \frac{304}{31.4}  \\ or \:  {r}^{2}  = 9.68 \\ or \: r =   \sqrt{9.68}  \\ or \: r =  \sqrt{ {(3.11)}^{2} }  \\ r = 3.11 \: cm

Hope this helps..

Good luck on your assignment..

7 0
3 years ago
Sue is collecting eggs and she wants to sell them in egg cartons that hold a dozen eggs. If she collects 75 eggs, how many full
Setler [38]

Answer:

she would have 6 egg cartons to sell and 3 eggs left over (:

Step-by-step explanation:

75 divided by 12 equals 6.25

12 times 6 equals 72

75 minus 72 equals 3

egg cartons- 6

left over eggs-3

Hope this helps (:

4 0
3 years ago
X/2.1 = -1.8<br><br> Show your work and check it (write it out plz)
Lerok [7]
X = -1.8 * 2.1
x = 3.78

don't know how i can write it longer
7 0
3 years ago
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