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
Yuri [45]
3 years ago
9

If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,

and a > 1, then what is the value of a?
Answers to choose from is: a) 5, b) 6, c) 8, d) 9.
Mathematics
2 answers:
Aliun [14]3 years ago
5 0

Answer:

6

Step-by-step explanation:

Plato

Vesnalui [34]3 years ago
3 0

Answer:

b) 6

Step-by-step explanation:

The function f(x) = 4 is simply the horizontal line y = 4. Therefore, the region bounded by the curve of the function f(x) = 4 on the interval [1, a] with  a > 1 is simply a rectangle whose length is (a-1) units and width 4 units. We have been informed that the area is 20 square units, therefore we can formulate the following equation using the formula for the area of a rectangle;

Area = length * width

20 = 4(a-1)

5 = a-1

a = 6

Therefore, the value of a should be 6.

You might be interested in
Which two consecutive whole numbers does StartRoot 39 EndRoot lie between? Why?
Arlecino [84]

. The answer is 21.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please anyone help me
sineoko [7]
Hey There!!!!


The Answer Is > 240 x 3 = 720 so 720 is your answer!!


Please Mark Me Brainliest :) :) Annierosehodge (: (:
6 0
3 years ago
Read 2 more answers
Why is a parallelogram not the same type of quadrilateral as a trapezoid?
Liula [17]
A parallelogram has two pairs of opposite sides. A trapezoid only has one pair of parallel sides.
4 0
3 years ago
Need help finding the domain and range
pogonyaev

Here are a few things you'll need to know for this question:

  • Domain: <u>The list of x-values that are possible on a line.</u>
  • Range: <u>The list of y-values that are possible on a line.</u>
  • Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
  • Closed Circles: <u>The endpoint is included.</u>
  • Open Circles: <u>The endpoint is excluded.</u>

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>

3 0
3 years ago
3x^2+x-5=0 to 2 decimal place<br> 3x^3+2x-4=0 to 2 decimal place
Schach [20]

Answer:

1. 3/5

2. 1.219841

3. 2 - f(2)/7

4. -1.9682

5. 1.502446

Step-by-step explanation:

If we call

then the second approximation to the root of the equation f(x)=0 would be

hence

2.

Here we have

Let's start with  

then

Since the first 6 decimals of  and  are equal, the desired approximation is 1.219841

3.

If the line y = 4x − 1 is tangent to the curve y = f(x) when x = 2, then f'(2) = 4*2 - 1 = 7, so

4.

Here

5.

We want to find all the values x such that

or what is the same, the x such that

so, let f(x) be

and let's use Newton's method to find the roots of f(x).

Since

f is strictly increasing, and since

f(1) = e+3-9 = e - 6 < 0

and

f has only one root in [1,2]

By using Newton's iterations starting with  

Since  then

x=1.50244564 is the desired root.

The answers as a comma-separated list would be

1,  1.573899431,  1.503982961,  1.502446348, 1.50244564

The answer rounded to six decimal places would be

1.502446

8 0
3 years ago
Other questions:
  • At this stage, the product reaches its highest point of demand and sales.
    10·1 answer
  • Complete the sentence. The midpoint between 2 and 10 is .
    11·1 answer
  • Please help!!!!!!!!!!
    15·2 answers
  • Keira used yards of fabric to make a quilt. After making the quilt, she had yards of the fabric left.
    13·1 answer
  • What is the solution to 34x + 95 = 3(14x + 9)?
    8·1 answer
  • Find each absolute value | 2+3i |
    14·2 answers
  • A veterinarian knows that a 50-pound dog gets 0.5 milligram of a certain medicine, and that the number of milligrams, m, varies
    9·2 answers
  • LMNP is a rectangle. Find the value of x. LN=8x-7 and MP=2x+5
    6·1 answer
  • Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram.
    9·1 answer
  • Question 1
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!