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scZoUnD [109]
3 years ago
14

Which pair of equations represents parallel lines?

Mathematics
2 answers:
suter [353]3 years ago
7 0

Answer:

A) parallel

B) not

C) not

D) parallel

jasenka [17]3 years ago
3 0

Answer:

It should be just D) y=2x+7

y=2x-7

Step-by-step explanation:

Parallel lines have the same slope :D

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Which expression is equivalent to 4/9 (2n - 3n)
yaroslaw [1]
I believe the answer is:
A. 8/9 n-11/3
6 0
3 years ago
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The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept i
Stella [2.4K]

P(x) has degree 3, so it takes the general form

P(x)=ax^3+bx^2+cx+d

It has a root x=1 of multiplicity 2, which means (x-1)^2 divides P(x) exactly, and it has a root of x=-3 of multiplicity 1 so that x+3 also is a factor. So

P(x)=a(x-1)^2(x+3)

Expanding this gives

P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a

\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}

The y-intercept occurs for x=0, for which we have

P(0)=d=2.1

Then

3a=d\implies a=0.7

a=b\implies b=0.7

-5a=c\implies c=-0.14

So we have

\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}

6 0
3 years ago
Read 2 more answers
HELP ME ASAP 29 POINTS
Naya [18.7K]
The range means the y values. The points are written as: (x,y)

So, the right answer is {1,2,3} not the C because the range only needs to be told once.

Hope this helped and pls mark as brainliest!

~ Luna
6 0
3 years ago
F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

------------

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

------------

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
2 years ago
Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.
Levart [38]

Answer:

The price of a new computer is quantitative.

Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

Qualitative:

When the possible values of the variables are labels, for example, good or bad, yes or no,...

Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

6 0
3 years ago
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