1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FinnZ [79.3K]
1 year ago
7

Graph the line with slope −1/2 and y-intercept −5.

Mathematics
1 answer:
Allushta [10]1 year ago
5 0

First, we can write the equation of the line using the information provided:

\begin{gathered} y=mx+b \\ where: \\ m=slope=-\frac{1}{2} \\ b=y-intercept=-5 \\ so: \\ y=-\frac{1}{2}x-5 \end{gathered}

Now, we can create a table:

Finally, we can graph the line:

You might be interested in
Why is 6√3 irrational or rational?
Oduvanchick [21]

Answer:

irrational.

Step-by-step explanation:

√3 is irrational.

product of rational and irrational number is always irrational.

6×√3=6√3

6 0
2 years ago
Read 2 more answers
Determine whether each of these functions is O(x^2 ).
otez555 [7]

Answer:

  • (a)  no
  • (b)  yes
  • (c)  no
  • (d)  no

Step-by-step explanation:

"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.

For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.

Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.

3 0
3 years ago
Read 2 more answers
An area is approximated to be 14 in 2 using a left-endpoint rectangle approximation method. A right- endpoint approximation of t
USPshnik [31]
The trapezoidal approximation will be the average of the left- and right-endpoint approximations.

Let's consider a simple example of estimating the value of a general definite integral,

\displaystyle\int_a^bf(x)\,\mathrm dx

Split up the interval [a,b] into n equal subintervals,

[x_0,x_1]\cup[x_1,x_2]\cup\cdots\cup[x_{n-2},x_{n-1}]\cup[x_{n-1},x_n]

where a=x_0 and b=x_n. Each subinterval has measure (width) \dfrac{a-b}n.

Now denote the left- and right-endpoint approximations by L and R, respectively. The left-endpoint approximation consists of rectangles whose heights are determined by the left-endpoints of each subinterval. These are \{x_0,x_1,\cdots,x_{n-1}\}. Meanwhile, the right-endpoint approximation involves rectangles with heights determined by the right endpoints, \{x_1,x_2,\cdots,x_n\}.

So, you have

L=\dfrac{b-a}n\left(f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1})\right)
R=\dfrac{b-a}n\left(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n)\right)

Now let T denote the trapezoidal approximation. The area of each trapezoidal subdivision is given by the product of each subinterval's width and the average of the heights given by the endpoints of each subinterval. That is,

T=\dfrac{b-a}n\left(\dfrac{f(x_0)+f(x_1)}2+\dfrac{f(x_1)+f(x_2)}2+\cdots+\dfrac{f(x_{n-2})+f(x_{n-1})}2+\dfrac{f(x_{n-1})+f(x_n)}2\right)

Factoring out \dfrac12 and regrouping the terms, you have

T=\dfrac{b-a}{2n}\left((f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1}))+(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n))\right)

which is equivalent to

T=\dfrac12\left(L+R)

and is the average of L and R.

So the trapezoidal approximation for your problem should be \dfrac{14+21}2=\dfrac{35}2=17.5\text{ in}^2
4 0
3 years ago
Felicia goes to a doctor's office that has a parking garage below the building. She parks her car four levels below the street l
Contact [7]

Answer:

first off here are the things you need to know:

She parked her car 4 levels below the street

so let's make that 4

and he doctor's office is at the fifth level of the building which makes it 5

so; 4+5=9 meaning she ride the elevator 9 levels

7 0
3 years ago
How do you compare and contrast decimals, fractions, and percents
Alisiya [41]
You would have to make them all one form that is the same, for example if you wanted to find out if 80%, 0.75, 1/2 are the same you would have to change them into the same form. If you wanted to make them all decimals it would be 0.08, 0.75, 0.5, if you wanted to make them all percents it would be 80%, 75%, 50%, you wanted them all of be a fraction it would be 4/5, 3/4, and 1/2. I hope explained this well and this helped :)
-Madi
6 0
3 years ago
Other questions:
  • The art club wants to order T-shirts. The T-shirts cost $8.50 each plus a shipping fee of $6.
    8·1 answer
  • Name the plane in 2 ways please! simple and quick :) ​
    5·1 answer
  • How are the volumes of cylinders, cones, and spheres related?
    13·2 answers
  • 7 girls in a bus. 7 backpacks per girl. 7 big cats per backpack. 7 little cats per big cat. bus driver is not in the bus. how ma
    15·1 answer
  • It say minus band at the bottom​
    5·1 answer
  • a wildlife manager determines that the function y=200x1.07* represents the deer population at a state park x years after the pop
    5·1 answer
  • Pls help ASAP!!!!!!<br> I will cash app
    6·2 answers
  • A tree is 117 inches tall. How tall is it in feet and inches?<br> ?
    6·1 answer
  •  −   −      =<br>    <br> 10 8
    14·1 answer
  • State the postulate or theorem you would use to prove each pair of triangles congruent.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!