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Talja [164]
2 years ago
7

What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?

Mathematics
1 answer:
Travka [436]2 years ago
4 0

writing the linear equation can be used by any any of those coordinates that are given

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How can the average rate of change be identified for a function?
Digiron [165]

Answer:

Rateofchange=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where x₁ and x₂ are values in the interval [x,y] respectively

Step-by-step explanation:

Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.

So lets assume you have a function;

f(x)=x^3-4x

And the interval as [1,3]

Then the average rate of change for the function f(x) will be;

=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3

To find the average rate of change in this example will be;

=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\\\=f(x_2)=f(3)=3^3-4(3)=27-12=15\\\\=f(x_1)=f(1)=1^3-4(1)=1-4=-3\\\\\\=x_2-x_1=3-1=2\\\\\\=\frac{15--3}{2} \\\\=\frac{18}{2} =9

8 0
3 years ago
The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?
IrinaVladis [17]
I believe the answer is C also trying using the website desmos it helps a lot with graphing
4 0
3 years ago
Read 2 more answers
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
Write an equation for a rational function with:
katrin [286]

Answer:

Step-by-step explanation:

Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7

3 0
2 years ago
What is the y-intercept of y = -4/3x + 4?
Reika [66]
Hello : 
<span>the y-intercept of y = -4/3x + 4 when x=0 : y= (-4/3)(0)+4=4
Answer : </span><span>A) (0, 4)</span>
7 0
3 years ago
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