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2 years ago

which second-degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2

Mathematics

1 answer:

olchik [2.2K]2 years ago

5 0

Answer:

f(x) = -x^2 +8x -16

Step-by-step explanation:

With the given data, we can write the factored function as ...

f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity

f(x) = -x^2 +8x -16

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I need help appreciate it

aniked [119]

Answer:

B. 1/25

Step-by-step explanation:

This question asks us to find (-2), or f(x) when x is equal to -2.

We know that f(x)=5^x. We also know that we are trying to find f(-2). Therefore, we must substitute -2 in for x.

f(x)=5^x

x= -2

f(-2)= 5^-2

Negative exponents follow the rule:

x^-b= 1/x^b

Rewrite the exponent according to this rule.

5^-2=1/5^2

f(-2)= 1/5^2

Evaluate the exponent in the denominator.

5^2=5*5=25

f(-2)=1/25

f(-2) is equal to 1/25, therefore B is the correct answer.

7 0

2 years ago

Read 2 more answers

What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev

ZanzabumX [31]

Answer: 0.46

Step-by-step explanation: B&B motors convertible - 0.59 all four companies - 0.39 mini trucks- 0.13 .59-0.13=0.46

3 0

2 years ago

Read 2 more answers

Greta is taking a road trip from Cincinnati to San Francisco. On the first day, she drove 650 miles in 10 hours. On the second d

abruzzese [7]

Given:

On the first day, she drove 650 miles in 10 hours.

On the second day, she got a later start and drove 540 miles in 8 hours.

To find:

Difference between average speed of second day and first day.

Solution:

We know that,

$Speed=\dfrac{Distance}{Time}$

On the first day, she drove 650 miles in 10 hours. So, the average speed is

$Speed=\dfrac{650}{10}$

$Speed=65$

So, the average speed on first day is 65 miles per hour.

On the second day, she got a later start and drove 540 miles in 8 hours.

$Speed=\dfrac{540}{8}$

$Speed=67.5$

So, the average speed on second day is 67.5 miles per hour.

Difference between average speed is

$67.5-65=2.5$

Therefore, the average speed on the second day is 2.5 miles per hour is faster than first day.

3 0

1 year ago

Kayson mixes 300300300 milliliters (\text{mL})(mL)left parenthesis, start text, m, L, end text, right parenthesis of spinach, 20

Georgia [21]

Answer:

Total, T = (300s+200b+42d) mg

Step-by-step explanation:

Given that,

Kayson mixes 300 mL spinach, 200 mL of berries, and 42 mL of dressing to make a salad.

There are s mg of vitamin C per mL of spinach, b mg per mL of berries, and d mg per mL of dressing.

In 300 mL of spinach vitamin C is = (300 s)mg

In 200 mL of berries vitamin C is = (200 b)mg

In 42 mL of salad vitamin C is = (42 d)mg

It means that, total mg of vitamin C is :

Total, T = (300s+200b+42d) mg

Hence, this is the required solution.

4 0

2 years ago

A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

WINSTONCH [101]

Let x = the length of the rectangle
Let w= the width

Two sections are required, hence 2w of fence required
2x+3w=500

this can be written as:
3w=1500-2x
w=(1500-2x)/3

Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3

This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750

3 0

2 years ago