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
quester [9]
3 years ago
7

What is the slope of the function, represented by the table of values below ?

Mathematics
1 answer:
Komok [63]3 years ago
5 0
For a given function, slope is defined as the change in outputs, or y-values divided by the change in inputs, or x-values. In essence the slope asks "For a given change in x, how much does y change?" or even more simply: "How steep is the graph of this function?". This can be represented mathematically by the formula:
m=\frac{rise}{run}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Since we have a table of x,y pairs it's the last form of that equation that will be the most useful to us. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-10}{0-(-2)}=\frac{-6}{2}=-3

We can check this answer by using a different pair, say the last two:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-23)-(-14)}{9-6}=\frac{-9}{3}=-3.

As a common sense check: Our y-values get smaller as our x-values get bigger so a negative slope makes sense. 

m=-3
You might be interested in
Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horse
Serggg [28]
5 horses with a combined weight of 6,240 pounds
horse trailer has a limit of 8,000 pounds of horse and tacks.

Find the weight of tack, t, for each horse that Cari can allow.

5t + 6,240 <  8,000

5t + 6,240 < 8,000
    - 6,240    -6,240
5t              < 1,760
<span>÷5                 ÷5    </span>
 t               <  352

Each horse can carry a tack that weighs no more than 352 pounds. 

Any tack that weighs beyond <span>352 </span>pounds is will exceed the maximum carrying capacity of the horse trailer.


4 0
2 years ago
Read 2 more answers
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest hundredth.
kirill [66]

Answer:

D

Step-by-step explanation:

diameter of 1 circle = 21.3/3= 7.1

radius of 1 circle= 7.1/3=3.55

area of 1 circle =πr^2=3.14× (3.55)^2=39.57

area of 3 circle= 39.57×3=118.72

therefore,area of shaded portion= area of 3 circle =118.72

7 0
2 years ago
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NemiM [27]

Answer:

- (x - 1) {}^{2}  + 5

Step-by-step explanation:

F(x) is a transformation from h(x).

So our starting equation is

- (x - 1) {}^{2}  - 1

F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.

There isn't a vertical or horizontal stretch, compressions.

There isn't a horizontal shift as the x values stay in the same place.

There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).

So our equation looks like.

- (x - 1) {}^{2}  + 5

8 0
2 years ago
Juanita begins to factor an expression as shown.
WARRIOR [948]

Answer:

(x + 6)(x - 3)

Step-by-step explanation:

6 0
2 years ago
Please help me i think i finally uploaded the right file now
KengaRu [80]

Answer:

y = 35x

and 350

Step-by-step explanation:

This problem's quite similar to the last question with the only difference being the 2nd row changed

So I <em>think </em>that the answers should be the same

6 0
3 years ago
Other questions:
  • The surface area of the triangular prism
    14·1 answer
  • I need help ASAP! Can someone please help me?
    11·1 answer
  • 3x+2y+2x+2=3x+2x+2y+2
    15·1 answer
  • Three less than a number n is -16
    11·1 answer
  • Andy buys a 75 cent juice box using only quarters and nickels. show the amount he spent in two ways.
    10·1 answer
  • F(x)=16^X<br> 1. F(x)=4 x/4<br> 2.f(x)=2^4x<br> 3. F(x)=2 x/4<br> 4. F(x)=4^4x
    15·1 answer
  • In right triangle XYZ, triangle Y is the right angle and m angleX = 60 degrees. If YZ= 4 what is XY
    5·2 answers
  • Evaluate (3.4 x 10^)(4.5 x 103). Write your<br> answer in scientific notation.
    9·2 answers
  • X3+y3+z3=k What is the answer
    11·1 answer
  • Maria has 26 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!