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3 years ago

Describe how you find an upper bound and a lower bound for the zeros of a polynomial function

Mathematics

1 answer:

Likurg_2 [28]3 years ago

5 0

Answer:

A quick way to calculate upper and lower bands is to halve the degree of accuracy specified, then add this to the rounded value for the upper bound and subtract it from the rounded value for the lower bound.

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someone please explain to me how to find the area PLEASE! Find the area and perimeter of quadrilateral ABCD below. Explain your

Lunna [17]

Answer:

Part A) The area of the figure is $24\ units^{2}$

Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

we know that

The area of the figure is equal to the area of triangle ABD plus the area of triangle BCD

The area of triangle is equal to

$A=\frac{1}{2}bh$

<u>Area of triangle ABD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(9-5)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

<u>Area of triangle BCD</u>

Observing the graph

$b=BD=(-2+8)=6\ units$

$h=(5-1)=4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of the figure is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+AD$

we have

$A(-5,1),B(-8,5),C(-5,9),D(-2,5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$d=\sqrt{(5-1)^{2}+(-8+5)^{2}}=5\ units$

Find the distance BC

$d=\sqrt{(9-5)^{2}+(-5+8)^{2}}=5\ units$

Find the distance CD

$d=\sqrt{(5-9)^{2}+(-2+5)^{2}}=5\ units$

Find the distance AD

$d=\sqrt{(5-1)^{2}+(-2+5)^{2}}=5\ units$

substitute the values

$P=5+5+5+5=20\ units$

7 0

3 years ago

City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$

and

$L(p(x))=p(0.97)$

So, the evaluationg p(x) into L(p), we have:

$L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}$

Hence, the correct option is:

The third option,

$L(p(x))=2.425(1.082)^{x}$

Have a nice day!

6 0

3 years ago

Alisiya [41]

Answer:

you will half the recipe, so

50g flour

30g sugar

25g margarine

20g chocolate chips

1 egg

then add together. recipe for 15 cookies will be;

150g flour

90g sugar

75g margarine

60gr chocolate chips

3 eggs

3 0

3 years ago

Read 2 more answers

If 60 marks is 40% what is the full marks

alina1380 [7]

Let the full marks = x

Then, it would be: x*40/100 = 60

x = 6000/40

x = 150

Full marks will be 150

8 0

4 years ago

Read 2 more answers

The two parallelograms below are similar.

umka21 [38]

PQ = 40 inches
The answer is C

8 0

3 years ago