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2 years ago

5

The equation of a function is represented by f(x)=(x + 4) ( x - 3). Terri stated that the roots are 4 and -3. Is Terri right or

wrong? Explain your answer

1 answer:

Alika [10]2 years ago

3 0

Answer:

Terri is wrong the roots are -4 and 3. She mixed up the numbers

Step-by-step explanation:

Hope it helps mark me brainliest

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A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing $ 8 per foot and on one

vova2212 [387]

Answer:

Therefore the dimensions of the garden is 16 feet by 13 feet.

Step-by-step explanation:

Let the length of the garden be x and the width of the garden be y.

Given that the area of the rectangular garden is 208 square feet.

Therefore,

xy =208

$\Rightarrow y = \frac{208}{x}$

Again given that,

The garden is to be surrounded on three sides by a brick wall costing $ 8 per feet and the remaining sides by a fence costing $5 per feet.

The perimeter of the rectangle is = 2(length+ breadth)

= 2(x+y)

=2x+2y

The total cost of fence

$C= [ (2x\times 8)+(y\times 8)+(y\times 5)]$

= (16x+ 8y +5y)

$=16x+13y$

$=16x+\frac{13\times 208}{x}$

$=16x +\frac{2704}{x}$

To find the maximum or minimum point, we need to find out $\frac{dC}{dx}$ and set $\frac{dC}{dx}$ =0.

$\frac{dC}{dx}=16 -\frac{2704}{x^2}$

Then

$16 -\frac{2704}{x^2}=0$

$\Rightarrow \frac{2704}{x^2}=16$

$\Rightarrow x^2 =\frac{2704}{16}$

$\Rightarrow x=\pm \sqrt{169}$

$\Rightarrow x=\pm 13$

Again $\frac{d^2C}{dx}= \frac {8112}{x^3}$

$\therefore\left| \frac{d^2C}{dx}\right |_{x=13}= \frac {8112}{13^3}>0$

Therefore at x= 13 , the cost is minimum.

Therefore x = 13 feet.

The other side of the garden is $=\frac{208}{13}$ feet = 16 feet.

Therefore the dimensions of the garden is 16 feet by 13 feet.

4 0

3 years ago

Help please I need help

UkoKoshka [18]

The answer is 26

Hi sorry it said I needed 20 carachters minimum so ya I just had to write this

8 0

3 years ago

David sells two calculators for ₹1500 each .He earns a profit of 25% on

notsponge [240]

Answer:

gain = 0

% = 0

Step-by-step explanation:

<em><u>Profit</u></em>

He sells one for a profit of 25% That means he sells one of them for 100% + 25% = 125%

₹1500 * 125/100 = ₹187500/100 = ₹1875

<em><u>Loss</u></em>

Here he sells it for 25% less than the selling price he wanted.

100% - 25% = 75%

₹1500 * 75/100 = ₹112500/100 = ₹1125

<em><u>Discussion</u></em>

He should make ₹1500 + ₹1500 = ₹3000 without either profit or loss.

What he actually accomplishes is ₹1125 + ₹1875 = ₹3000

So he has a net gain (loss) of 0.

The % is 0

8 0

2 years ago

Solve each equation.<br><br> 1. 13a=−5

mafiozo [28]

Answer:

a = -5/13

Step-by-step explanation:

13a = -5

a = -5/13

hope this helps, pls mark brainliest :D

5 0

3 years ago

What is the value of the expression 2^2+4^2 divided by 2^2

N76 [4]

Use PEMDAS:

Parentheses

Exponents

Multiply and Divide from left to right.

Add and Subtract from left to right.

-------------------------------------------------------

Evaluate the exponents.

2^2+4^2/2^2

Divide from left to right.

4 + 16/4

Add from left to right.

4 + 4

Solution.

8

5 0

2 years ago