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NemiM [27]
2 years ago
5

Use the function below to find f(-2) F(x)=3x

Mathematics
1 answer:
frosja888 [35]2 years ago
6 0

Answer:

B

Step-by-step explanation:

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} }

Then

f(- 2) = 3^{-2} = \frac{1}{3^2} = \frac{1}{9} → B

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A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
Halfway through the season, a soccer player has made 12 penalty kicks in 18 attempts. Based on her performance to date, what is
a_sh-v [17]
12/18

6/9

2/3

Simply in common factor you know and keep doing it
12/18
BCD:6
2/3
8 0
3 years ago
Evaluate the expression when x = 3.<br><br> x² + 6x - 3
Black_prince [1.1K]

Answer:

X=3

{3}^{2}  + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\  = 24

3 0
2 years ago
Someone please help me it's worth five points ;)))
Neporo4naja [7]
Answer to 1: 648
Answer to 2: 175
3 0
3 years ago
Read 2 more answers
2 and 5. What is the LCM?
Masja [62]
Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
  So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
  10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day. 
5 0
3 years ago
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