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
Artist 52 [7]
3 years ago
5

What is the rate of change for y = -3x + 2 over the interval [-3, 4]?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
\stackrel{y}{f(x)}= -3x+2  \qquad 
\begin{cases}
x_1=-3\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(-3)}{4-(-3)}
\\\\\\
\cfrac{[-3(4)+2]~~-~~[-3(-3)+2]}{4+3}\implies \cfrac{-10~~-~~[11]}{7}
\\\\\\
\cfrac{-21}{7}\implies \cfrac{-3}{1}\implies -3
You might be interested in
135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
lesya692 [45]

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

5 0
3 years ago
Joy plans to use a circular tarp to cover her circular picnic table. Which of the following statements is true?
lbvjy [14]

Answer:

A:Joy can use the height of the picnic table to determine the size of the tarp necessary

4 0
2 years ago
Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A = 0.7793
Aleksandr [31]

The measure of acute angle A to the nearest tenth of a degree is 51.2°

<h3>Measure of angles</h3>

From the given information, we are to determine the measure of the angle.

The angle we are to determine its measure is acute angle A

From the given information, we have that

sin A = 0.7793

Thus,

A = sin⁻¹(0.7793)

Using calculator

A = 51.1965°

A ≅ 51.2°

Hence, the measure of acute angle A to the nearest tenth of a degree is 51.2°

Learn more on Calculating measure of angles here: brainly.com/question/9171516

#SPJ1

7 0
1 year ago
Mr. Castillo earns 270,920.64 a year. What is his monthly salary?
lozanna [386]

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

8 0
3 years ago
Drag each tile to the correct location on the table.
RoseWind [281]

Short-term investments characteristics  are:

  • More affected by rapid market changes.
  • Taxed at a higher rate.
  • Subject to more transaction fees.
  • Incurs more annual brokerage fees.

<h3>What are Long-Term Investments?</h3>

Others are:

Long-term investments characteristics  are:

  • Carries the risk of higher inflation.

Long-term investments are known to be a kind of assets that people or a firm intends to keep for a long period of time that is usually more than three years.

Note that Long-term investors usually take on a high degree of risk when one is said to be after higher returns.

Learn more about investments  from

brainly.com/question/1305349

#SPJ1

4 0
1 year ago
Other questions:
  • What is 970+12% of the amount over 9,700
    7·1 answer
  • 40% of the kids at the picnic went swimming if there were 25 kids, how many went swimming
    14·1 answer
  • Which of the following statements are not proportional 4/6=9/12 2/3=12/18 5/4=10/8 7/5=36/25
    15·2 answers
  • How do you solve y=7x+35
    11·1 answer
  • How can you use a bar diagram to check<br> your solution in a ratio problem
    7·1 answer
  • Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?​
    8·1 answer
  • If a leaf on the ground is 80 feet from the base of a tree, and the angle of elevation to the top of the tree from the leaf is 4
    9·2 answers
  • A paint color is made using 4 drops of red and 5 drops of blue for each 5 gallons of paint. How many gallons of paint are being
    5·1 answer
  • A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents
    15·1 answer
  • Which faction is equivalent to 5/20 a4/16 b4/12 c4/19 d4/15
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!