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Drupady [299]
3 years ago
7

Suppose you have 76 feet for a regular dog pen the function A= 38x-x^2 where x= width gives you the maximum area what is the max

imum area round the nearest tenth as necessary
A= width=19ft,area =361ft^2

B= width=38ft,area=760ft^2

C= width=38ft,area =361^2

D= width=19ft,area=1083ft^2
Mathematics
1 answer:
trasher [3.6K]3 years ago
6 0
A I believe. width= 19ft, area 361ft^2
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Rewrite the quadratic function in intercept or factored form<br> y=4x^2-19x-5
damaskus [11]

Answer:

y = (x - 5)(4x + 1)

Step-by-step explanation:

The given function y = 4x^2 -19x - 5

Here we have to find the AC method.

Identify the value of A, B and C

A = 4 ,  B = -19 and C = -5

AC = 4*-5 = -20

Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19

Factors are -20 and 1

1 * -20 = -20

1 + (-20) = -19

y = 4x^2 -19x - 5

This can be written using the factors

y = 4x^2 - 20x + 1x - 5

Now let's factor by group the first two terms, then second two terms.

y = 4x (x - 5) + 1(x - 5)

y = (x - 5)(4x + 1)

That's the answer.

Hope this will helpful.

Thank you.

5 0
3 years ago
Given cos t = 1/2 tan 0 find sin (t) and sec (t)
777dan777 [17]

Answer:

Sin(t) =  \frac{\sqrt{3} }{2} } and sec(t) =2

Step-by-step explanation:

The secant function is the reciprocal function of the cosine function. Therefore, given that sec(t) = \frac{1}{cos(t)} then, if  cos(t) = \frac{1}{2} then  sec(t) =2.

On the other hand, if cos (t) = 1/2 ⇒ t = ±\frac{\pi}{3}

Then, the sin(\frac{\pi}{3}) = \frac{\sqrt{3} }{2} }

3 0
3 years ago
Consider the line 7x+4y= 3. What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this
kirza4 [7]

Answer:

1) -7/4

2) 4/7

3) -1/5

Step-by-step explanation:

1) A parallel line would have the same gradient so:

4y = -7x +3
y =\frac{-7}{4}x  +\frac{3}{4}

So a parallel line would have the gradient of \frac{-7}{4}.

2) A perpendicular line would have the inverse reciprocal of the gradient so multiplying the 2 gradients would equal -1 so:

Initially Gradient = -7/4

-7/4 x Perpendicular line = -1

Perpendicular line = -1 x 4/-7

Perpendicular line = 4/7

3) Using the same principle, the perpendicular gradient would be -1/5x

3 0
2 years ago
Y varies inversely with x k=2.8 what is the value of x when y is 22.4
nevsk [136]

x = 2.8/22.4 = 0.125

 x = 0.125

5 0
3 years ago
Asad wants to print 500 photos. A shop charges at rate of 0. 20 per photo to print. How much does he pay to print the photos?
Elanso [62]

Answer:

$100

Step-by-step explanation:

multiply 500 by 0.20

you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100

8 0
3 years ago
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