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frutty [35]
2 years ago
7

HELP ME PLEASE

Mathematics
1 answer:
Andrei [34K]2 years ago
3 0

Answer:

its between

Step-by-step explanation:

1.5 and 4.5 cubic inches

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Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer. How many imaginary r
Rainbow [258]

Answer:

<h3>The given polynomial of degree 4 has atleast one imaginary root</h3>

Step-by-step explanation:

Given that " Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer:

<h3>To find how many imaginary roots does the polynomial have :</h3>
  • Since the degree of given polynomial is 4
  • Therefore it must have four roots.
  • Already given that the given polynomial has 1 positive real root and 1 negative real root .
  • Every polynomial with degree greater than 1  has atleast one imaginary root.
<h3>Hence the given polynomial of degree 4 has atleast one imaginary root</h3><h3> </h3>

8 0
3 years ago
In a single growing season at the smith family orchard, the average yield per apple tree is 150 apples when the number of trees
Mariana [72]

Answer:

100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

Step-by-step explanation:

<u>Functions </u>

Expressing some quantities in terms of other(s) comes in handy to understand the behavior of the situations often modeled by those functions.

Our problem tells us about the smith family orchard, where the average yield per apple tree is 150 apples when the number of trees per acre is 100 (or less). But the average yield per tree decreases when more than 100 trees are planted. The rate of decrease is 1 for each additional tree is planted

Let's call x the number of trees planted per acre in a single growing season. We have two conditions when modeling:  when x is less than 100, the average yield per apple tree (Ay) is (fixed) 150.

Ay(x)=150\ ,\ x\leqslant 100

When x is more than 100:

Ay(x)=150-x\ ,\ 100< x\leqslant 150

The upper limit is 150 because it would mean the Average yield is zero and no apples are to be harvested

Part 1

We are asked what happens if the number of trees per acre was doubled, but we don't know what the original number was. Let's make it x=60

If x=60, then we must use the first function, and

Ay(60)=150

The yield per acre will be 150*60=9000 apples

If we doubled x to 120, we would have to use the second function

Ay(120)=150-x=30

The yield per acre will be 30*120=3600 apples

Note that doubling the number of trees would make the production decrease

If we started with x=30, then  

Ay(30)=150, and we would have 150*30=4500 apples per acre

We already know that for x=60 (the double of 30), our production will be 9000 apples per acre

This shows us that in some cases, increasing the number of trees is beneficial and in other cases, it is not

Part 2

The total yield is computed as

Y(x)=x.Ay(x)

This function will be different depending on the value of x

Y(x)=150x\ ,\ x\leqslant 100

Y(x)=150x-x^2\ ,\ 100< x\leqslant 150

To find the maximum total yield we take the first derivative

Y'(x)=150\ ,\ x\leqslant 100

Y'(x)=150-2x\ ,\ 100< x\leqslant 150

The first expression has no variable, so the total yield must be evaluated in the endpoints

Y(0)=0

Y(100)=15000

Now, the second expression contains variable, it will be set to 0 to find the critical point

150-2x=0

x=75

x is outside of the boundaries, we cannot find the maximum in this interval

Answer: 100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

7 0
3 years ago
A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$90​, what would the typical tip​ be?
Lana71 [14]

Answer:

$13.50 typical tip

Step-by-step explanation:

So to find the percentage

multiply 0.15*90

You’ll get 13.5

6 0
2 years ago
Read 2 more answers
Need help ASAP will give Brainly!
elena-14-01-66 [18.8K]
I believe the zeros are the x intercept. which makes the answer, 1 & 3.
3 0
3 years ago
PLEASE SOLVE!! DUE RIGHT NOW!!! WILL MARK BRAINLIEST IF ANSWERED AND CORRECT!!!!!
Agata [3.3K]

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69

5 0
2 years ago
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