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4 years ago

Given the functions j(x) = x2 − 9 and k(x) = −x + 7, which operation results in a 3rd degree polynomial?

Mathematics

1 answer:

sveta [45]4 years ago

7 0

So <span>when you multiply j(x) with k(x), the first term will be -x^3. So multiplication.

I hope this helps
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If y= 1/5 when x=3, find y when x=4, given that y varies directly with x

lisov135 [29]

Answer:

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

<h3> $y \: \: \: \alpha \: \: \: kx$ </h3>

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

So the formula for the variation is

From the question

when x = 4

Hope this helps you

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3 years ago

Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 please help! Which equation best represents the re

nataly862011 [7]

Answer:

y = negative 1 over 2x + 11

Step-by-step explanation:

Given the table :

X - - - - Y

2 - - - - 10

4 - - - - 9

6 - - - - 8

8 - - - - 7

The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit

y = mx + c

x and y are the variables

m = slope or gradient of the line

c = intercept

The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.

The result obtained from the calculator is:

ŷ = -0.5X + 11

4 0

4 years ago

Working together, two people can cut a large lawn in 4 hr. One person can do the job alone in 1 hr less than the other. How long

Goshia [24]

Answer:The faster person will do the job in 7.53hours

Step-by-step explanation:

Let t=faster person

Let t-1= the other person

The job to be done =1

Each person will do a fraction of the job

4/t+4/t-1=1

Multiply both sides wit t(t-1)

4(t+1)+4t=t(t-1)

4t+4+4t=t^2+t

8t+4=t^2+t

0=t^2+t-8t-4

t^2-7t-4=0

Use Almighty formular to solve d quadratic equation

X=-b+- rootb^2-4ac/2a

X=t,a=1,b=-7 c=4

Substituting the values you get:

t=-7 +- root 49+16/2

t=-7 +- root 65/2

t=7 +8.06/2=15.06/2

t=7.53 hours

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4 years ago

Which undefined term can contain parallel lines

Dahasolnce [82]

The undefined term that can contain parallel lines are line.

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3 years ago

Everything at a store is marked down by 20%. The regular price of a pair of shoes is $60. What's is the amount marked down? What

fenix001 [56]

Answer:

Step-by-step explanation:

I got this question right on a quiz. Hope this helps!!

7 0

4 years ago