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3 years ago

· f(x)= x2 - 49 Identify the number of zeros of the polynomial function

Mathematics

1 answer:

Dominik [7]3 years ago

4 0

Answer:

x = -7, x = 7

Step-by-step explanation:

Firstly, you are going to set the equation to 0, and then factor it.

Set equation to 0 -----> f(x)= x^2 - 49 will become x^2 - 49 = 0

Now, you're going to factor the equation.

You'll get (x-7) (x+7) upon factoring.

Thirdly, you will set (x-7)(x+7) equal to 0 and also solve for x.

Keep in mind that you'll be treating them as two separate equations

So, ----> (x-7) = 0 (x+7) = 0

When you solve for the x, you'll find out that x is equal to 7 and -7 ---> these are your zeros.

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There are two functions that can be used to describe the percent of people 25 years and older who have completed at least high s

Korvikt [17]

Answer:

$g(15)=93.8\%$

see the explanation

Step-by-step explanation:

Let

x ----> the number of years since 2008,

g(x) ----> the percent of people 25 years and older who have completed at least high school

we know that

$g(x)=0.008x^2+0.42x+87.5$

For x=15 years since 2008

substitute

$g(15)=0.008(15)^2+0.42(15)+87.5=93.8\%$

That means

In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%

5 0

3 years ago

Let f(x)= 7-2x Find a. f(4) b. f(h) c. f(4) + f(h) d. f(3+h)

anyanavicka [17]

Step-by-step explanation:

a) f(4) = 7-2(4)

= -1

b) f(h) = 7-2(h)

= 7-2h

c) f(4) + f(h) = -1 +(7-2h)

= 6-2h

h = 3

d) f(3+h) = 7-2(3+h)

= 7-6-2h

= -1-2h

2h= -1

h = -1/2

p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.

4 0

3 years ago

the pressure exerted on the floor by the heel of someone's shoe is inversely proportional to the square of the width of the heel

Katen [24]

P = k/w^2

first of all you need to find k 
But I kind of don't like the units of each value so let say 
400KPa = 4 * 10^5 Pa = 4 * 10^5 N/m^2 
2 cm = 2 * 10^-2 m 

input values in the equation 

4*10^5 = k/(4*10^-4) >>> k = 160 N 

P = 160/w^2 
it said if she wears a heel with a width of .5 cm 

P = 160(0.5 * 10^-2)^2 >>> P = 6400 KPa

4 0

3 years ago

Find the volume of this cylinder. give your answer to 1 decimal place base is 11cm. length is 14cm

nlexa [21]

Answer:

Volume = 1330.6cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes a cylinder.

We know that the volume of a cylinder is expressed as

V= πr²h

Step two

Given data

Base of the cylinder /diameter = 11cm

Hence radius = 11/2= 5.5cm

Length /height of cylinder = 14cm

Step three

Substituting our given data we have

Volume = 3.142*(5.5)²*14

Volume = 3.142*30.25*14

Volume = 1330.637cm³

to 1 decimal place we have

Volume = 1330.6cm³

3 0

3 years ago

When all seats are filled, a Ferris wheel can take 72 people for a rude. There are 313 people waiting to ride the wheel. Which d

LekaFEV [45]

Yes, the answer would be "b". There are a total of 313 people wanting to ride it. Only 72 people can ride it at a time. "x" in the drawing represents how much times is takes for all the people to ride it. You are correct, hope this helps! =)

7 0

3 years ago