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
ddd [48]
3 years ago
5

The table represents a linear function. What is the slope of the function?

Mathematics
1 answer:
TEA [102]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

The function is linear; therefore, the slope of the line joining any two points is the same.

We take any two points from the table and compute the slope or  rise/ run between them— let is take points (-4, -2) and (-2, -10).

The slope m of the line joining the points is

m=\dfrac{\Delta y }{\Delta x } =\dfrac{-2-(-10)}{-4-(-2)} \\\\\boxed{m=-4}

The slope of the function is -4.

You might be interested in
I need help on my pre-algebra homework, please
Ilia_Sergeevich [38]

Equation: 53x + 460 = 1096

Solution 1096 - 460 = 53x

636/53=x

12=x

12 hours

3 0
3 years ago
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
Order these numbers from least to greatest. 7.60, 7.228, 29/4, 7 2/9
Anarel [89]
7 2/9 < 7.228 < 29/4 < 7.60
8 0
3 years ago
Read 2 more answers
What is the value of x? two angles<br> 8x-8, 7x+8
My name is Ann [436]
15x due to -8+8 being 0
3 0
3 years ago
Read 2 more answers
What's the next ones?
hammer [34]
3.) 2 × 0.5 = 1 4.) -2 × -0.5 = 1
4 0
3 years ago
Other questions:
  • Which of these is the greatest value: 8/3, 2.28, 10/12, 0.199
    6·2 answers
  • Express x^2-5x-24 as the product of two binomials
    14·1 answer
  • PLEASE HELP ASAP
    15·1 answer
  • According to the general equation for conditional probability, if p(a^
    11·2 answers
  • True or false. A triangle is a figure formed by three segments connecting collinear points
    9·2 answers
  • Help am dying Aaaaaaaa​
    12·1 answer
  • I need help here is the imagen and thank you!!
    10·1 answer
  • 9:15 in simplest ratio​
    8·2 answers
  • Find the measure of angle P
    7·1 answer
  • HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!