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3 years ago

7

It says check the solution to the example problem by replacing n in the original equation with -2 and evaluating both sides. Wha

t true statement do you get?

1 answer:

gogolik [260]3 years ago

4 0

Gffjdjdkvkvkfkdkdkjcv

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A farmer wants to fence a rectangular garden next to his house which forms the northern boundary. The fencingfor the southern bo

Ivahew [28]

Answer:

10 ft x 10 ft

Area = 100 ft^2

Step-by-step explanation:

Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.

The total area is given by:

$A=S*W$

The cost function is given by:

$\$ 120 = \$3*2W+\$6*S\\20 = W+S\\W = 20-S$

Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:

$A=S*(20-S)\\A=20S-S^2\\\frac{dA}{dS} = \frac{d(20S-S^2)}{dS}\\0= 20-2S\\S=10$

If S=10 then W =20 -10 = 10

Therefore, the largest area enclosed by the fence is:

$A=S*W\\A=10*10 = 100\ ft^2$

5 0

3 years ago

Solve the following linear system by graphing <br> 4x+5y=10<br> 3x-3y=21

Inga [223]

Answer:

y = 2

x = 5

Step-by-step explanation:

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×4 |

12x + 15y = 30

12x - 12y = 84

____________--

27y = -54

y = -54/27

y = 2

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×5 |

12x + 15y = 30

15x - 15y = 105

____________+

27x = 135

x = 135/27

x = 5

6 0

4 years ago

-.At a fair hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of

NikAS [45]

Answer:

Part a) The y-intercept is the point (0,20) and the x-intercept is the point (10,0)

The graph in the attached figure

Part b) See the procedure

Step-by-step explanation:

<u><em>The questions are</em></u>

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

Part a) Find the intercepts and graph the function

Let

x-----> the number of hamburgers

y ----> the number of hot dogs

we have

$3x+1.5y=30$

Remember that

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

so

For x=0

$3(0)+1.5y=30$

$1.5y=30$

$y=20\ hot\ dogs$

The y-intercept is the point (0,20)

The <u><em>x-intercept</em></u> is the value of x when the value of y is equal to zero

so

For y=0

$3x+1.5(0)=30$

$3x=30$

$x=10\ hamburgers$

The x-intercept is the point (10,0)

Plot the intercepts and graph the line

see the attached figure

Part b) What does each intercept represent?

The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers

5 0

3 years ago

WILL REWARD What is the equation of the line in point-slope form?

romanna [79]

Step-by-step explanation:

the red point is (4, -5).

so, y - (-5) = -1/7(x - 4)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

8 0

3 years ago

sattari [20]

Answer:

$234,516.7371

Step-by-step explanation:

A = P (1 + [ r / n ]) ^ nt

A = 175000(1 + $\frac{.05}{1}$ )^1(2002-1996)

= 175000(1.05)^6

= 175000(1.340095640625)

= 234,516.7371

7 0

4 years ago