2.Use the following graph to estimate the rate of change of the function at x=0.5 using the points (−1,−1) and (1,3)
A.The rate of change is −1/2.
B.The rate of change is 2.
C.The rate of change is 1/2.
D.The rate of change is −2.
3.The following graph shows the inches of snow on the ground over a certain number of hours. Use the graph to estimate the rate of change of the function at 3 hours using the points (0,0) and (5,10)
A.The rate of change is −1/2 of an inch per hour.
B.The rate of change is 1/2 of an inch per hour.
C.The rate of change is 2 inches per hour.
D.The rate of change is −2 inches per hour.
4.The following graph shows the average temperatures in degrees Fahrenheit (°F) over the days of a month. Use the graph to estimate the rate of change of the function at the ninth day of the month using the points (2,55) and (10,65)
A.The rate of change is 0.8 degrees Fahrenheit per day.
B.The rate of change is 1.25 degrees Fahrenheit per day.
C.The rate of change is −0.8 degrees Fahrenheit per day.
D.The rate of change is −1.25 degrees Fahrenheit per day.
5.Use the following graph to answer which of the following points would provide the most accurate estimation for the rate of change of the function as it crosses the y-axis. Explain.
(−0.5, 2)
(0.5, 3)
(−0.5, 3)
(0.5, 1)
A.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
B.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
C.(−0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x=0.
D.(−0.5, 3) and (0.5, 1) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the opposite of the slope of the function at x=0.
Answers
Answer:
2. B. The rate of change is 2
3. C. The rate of change is 2 inches per hour
4. B. The rate of change is 1.25 degrees Fahrenheit per day
5. (-0.5, 3) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0
Step-by-step explanation:
2. Using the points (-1, -1) and the (1, 3) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
The rate of change = (3 - (-1))/(1 - (-1)) = 4/2 = 2
The rate of change is 2
3. Using the points (0, 0) and the (5, 10) we have;
The rate of change = (Change in the y-values)/(Corresponding change in the x-values)
Given that the function is a linear function, the rate of change of the function at 3 hours is given by the slope, m, as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (0, 0)
(x₂, y₂) = (5, 10)
The y-coordinate being the inches of snow, and the x-coordinate being the time in hours, we have;
The rate of change = (10 - 0)/(5 - 0) = 10/5 = 2
The rate of change is 2 inches per hour
4. Given that the function is a linear function, the rate of change of the function at ninth day is given by the slope, m, as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (2, 55)
(x₂, y₂) = (10, 65)
The y-coordinate being the temperature in degrees, and the x-coordinate being the time in days, we have;
[tex]Slope, \, m =\dfrac{65-55}{10-2} = \dfrac{10}{8} = 1.25[/tex]
The rate of change is 1.25 degrees Fahrenheit per day
5. The points on the graph of the function that come before and after the point where the graph of the function crosses y-axis (the y-intercept) and are close to point are (-0.5, 2) and (0.5, 3)
Therefore, (-0.5, 2) and (0.5, 3) would provide the most accurate estimation. The slope of the line drawn between these two points appears closest to the slope of the function at x = 0.
Related Questions
PLEASE HELP TIMED
In the figure shown, t || x and k || w and m∠3 = 20°. Choose the list which includes all of the other angles that measure 20°.
Answers
Answer:
D. 1, 5, 7, 9, 11, 14, 16
Step-by-step explanation:
Your welcome ;)
The angles whose measurement are same as that of ∠3 are -
∠1 , ∠5 , ∠7 , ∠9 , ∠11 , ∠14 , ∠16.
What area parallel lines?
Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.
Given is a figure in which - t || x and k || w and m∠3 = 20°.
The angles whose measurement are same as that of ∠3 are -
∠3 = ∠1 (Vertically opposite angles)
∠3 = ∠5 (Alternate interior angles) ... [1]
∠5 = ∠7 (Vertically opposite angles)
∠3 = ∠7 ( from [1] )
∠4 = 180 - ∠3 (Straight angle)
∠4 = ∠10 (opposite angles of a parallelogram are equal)
∠10 = 180 - ∠9 (Straight angle)
We can write -
∠4 = ∠10
180 - ∠3 = 180 - ∠9
180 - 180 - ∠3 = - ∠9
∠3 = ∠9 .... [2]
∠9 = ∠11
∠3 = ∠11 ( from [2] ) .... [3]
∠11 = ∠14 (Alternate interior angles)
∠3 = ∠14 ( from [3] ) .... [4]
∠14 = ∠16 (Vertically opposite angles)
∠3 = ∠16 ( from [4] )
Therefore, the angles whose measurement are same as that of ∠3 are -
∠1 , ∠5 , ∠7 , ∠9 , ∠11 , ∠14 , ∠16
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[The given question is not complete. Refer to the image attached for complete question]
a plumber chargers a base fee of $55 for a service call plus $55 per hour for each hour worked during the service call. use your equation to calculate how much money it will cost if the plumber works 4 hours
Answers
Answer:
The plumber will charge $275
Step-by-step explanation:
Models
Models are used to explain and predict the behavior of real objects or systems and are used in a variety of scientific disciplines.
The situation described in the question asks us to build a mathematical model for the charges for the service of a plumber.
The base fee is often called the fixed fee, which charged even if there is no service time. The plumber charges a base fee of $55.
The variable fee is that who changes for each hour worked. The plumber charges $55 per hour, so the charge for t hours of service is 55t.
The total charges of the plumber are modeled as:
C(t)=55t+55
If the plumber works t=4 hours, the cost will be:
C(4)=55*4+55=$275
The plumber will charge $275
2/3x 5 = 7 please help me
Answers
Answer:
I think x=18
Step-by-step explanation:
Can I get an answer please?
Answers
9514 1404 393
Answer:
T = (4, 9)
Step-by-step explanation:
The midpoint is computed from ...
Z = (S + T)/2
Solving for T, we find ...
T = 2Z -S
Using the given coordinates, this is ...
T = 2(4, 6) -(4, 3) = (2·4-4, 2·6 -3) = (4, 9)
The location of T is (4, 9).
2(x - 4) = 2(-2x + 1)
Answers
Answer:
?
Step-by-step explanation:
Answer:
x=10/6
Step-by-step explanation:
2x-8=-4x+2
6x=10
--- ---
6 6
x=10/6
7. The length of a rectangle is two more than its width. The perimeter of the rectangle is 36 feet. What are the dimensions (length and width) of the rectangle?
*Show work*
Answers
Step-by-step explanation:
length = x + 2
width = x
x + x + (x+2) + (x+2) = 36 ft
4x + 4 = 36 ft
4x = 32 ft
x = 32 ÷ 4
x = 8 ft
dimensions = length x width
= (x+2) × x
= (8+2) × 8
= 10 ft × 8 ft
Oliver deposited $1,640.70 in a savings account that earns 2.6% simple interest What will Oliver's account balance be in 8 months?
$1,669.14
$1,683.36
$1,981.97
$1,640.70
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A ______ of a number is that number times any whole number.
Example: 10 is a _____ of 5 because 5 x 2 = 10
48 is a _____ of 8 because 8 x 6 = 48
Answers
Answer:
multiple
Step-by-step explanation:
I think the answer is "multiple" Since a multiple of a number is that number multiplied by another.
Example: 10 is a multiple of 5 because 5 x 2 = 10
48 is a multiple of 8 beacuse 8 x 6 = 48
Hope this helps :)
multiple of a number is that number times any whole number.
The following information should be considered:
10 should be the multiple of 5 because 5(2) = 10.And, 48 is the multiple of 8 because 8(6) = 48.learn more; https://brainly.com/question/26115859?referrer=searchResults
HalP pLs and tY first person to answer get brainliests :}
Answers
Answer:
52
Step-by-step explanation:
Solve for m:
E = mc²
Pls help me :)
Answers
Answer:
m = E/c²
Step-by-step explanation:
Step 1: Write equation
E = mc²
Step 2: Divide both sides by c²
E/c² = m
Step 3: Write
m = E/c²
<B is a complement of <A and m<A = 65.2° find m<B
Answers
Answer:
Step-by-step explanation:
<B is a complement of <A
=> m<A + m<B = 180°
65.2° + m<B = 180°
m<B = 180° - 65.2° =114.8°
Answer:
24.8
Step-by-step explanation:
Complementary means they add u to 90°. So to find the measurement of ∠B you must subtract ∠A from 90°. ∠A = 65.2. 90 - 65.2 = ∠B. 90 - 65.2 = 24.80°
If DM = 60, what is the value of r?
Answers
Answer:
it’s 11.
Step-by-step explanation:
The value of r if DM = 60 according to the question is; 11
According to the diagram given;
The line DM = DG + GM
where DG = 4r and GM = r + 5The line DM is therefore;
60 = 4r + r + 55r = 55r = 55/5r = 11.Read more;
https://brainly.com/question/15705261
Which expression is equivalent to -3(x+ 4)?
A. x (-3+4)
B. x+4(-3)
C. -3x+1
D. -3x - 3(4)
Answers
Answer:
-3 ( x + 4) = -3x-3 (4) it's option D
Carl and Stephen and Brittney completed in a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's
Answers
Answer:
R4ARAQuestion
Carl and Stephen and Brittney completed inQuestion
Carl and Stephen and Brittney completed in a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's a shot put competition .Stephen's toss was 4.08 feet farther than Brittney's. Carl's toss was 2.14 shorter then Stephen's RARRARAGG
Step-by-step explanation:
Can you guys help me please?
Answers
Need help please! (Will mark as Brainliest)
Answers
Answer:
nun of thease
Step-by-step explanation:
Simplify 7(A - 6).
7A - 42
7A - 6
A - 6
Answers
Answer:
7A - 42
Step-by-step explanation:
7(A - 6)
Distribute
7A - 7*6
7A - 42
h. Four businessman invested a sum of Rs.
250000 in the ratio of 3:5:7:10 to start
a new bushess
i) Find the sum invested by each of them
i At the end of the year, if they gained
Rs 50,000 divide the profit among them in the ratio of their shapes
.
Answers
Answer:
The answers are in solutions.
Step-by-step explanation:
Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.(i) The amount invested by each businessman is;
1^st businessman invested:
[tex]\frac{3}{25} * 250,000 =[/tex] Rs. 30,000
2^nd businessman invested:
[tex]\frac{5}{25} * 250,000[/tex] = Rs. 50,000
3^rd businessman invested:
[tex]\frac{7}{25} *250,000[/tex] = Rs. 70,000
4^th businessman invested:
[tex]\frac{10}{25} *250,000[/tex] = Rs. 100,000
If they gained Rs. 50,000(ii) The profit each one of them got is;
1^st businessman got:
[tex]\frac{3}{25} * 50,000[/tex] = Rs. 6,000
2^nd businessman got:
[tex]\frac{5}{25} *50,000[/tex] = Rs. 10,000
3^rd businessman got:
[tex]\frac{7}{25} *50,000[/tex] = Rs. 14,000
4^th businessman got:
[tex]\frac{10}{25} *50,000[/tex] = Rs. 20,000
What is the area of the triangle?
Answers
How do i do this????
Answers
Blank 1=8
Blank 2=3
Blank 3=11
Answer:
triangle=8, diamond=3, star=11
Step-by-step explanation:
First you want to start with the equation that only has only shape/variable.
triangle ÷ 2 = 4
multiply both sides by 2 to find that triangle=8.
Now we can plug triangle in another equation.
2+diamond+diamond=triangle
2+diamond+diamond=8
subtract 2 from both sides
diamond+diamond=6
because we know diamond and diamond will be the same, we can divide 6 by 2 to find diamond=3.
Now we can go to the top equation
triangle + diamond + star = 22
8 + 3 + star = 22
11 + star = 22
star = 11
Maxwell used the diagram below to help determine 75% of 24. Which expression could Maxwell have used to find 75% of 24?
Answers
Answer:
you would divide 24 by 4. and you should get 6. multiply 6 by 3 and 18 is your anwser.
Step-by-step explanation:
Answer:
C (3/4)(24)
Step-by-step explanation:
Question 2
Find the slope of the line that passes through (-3,-1) and (2,1).
Answers
Answer: 2/5
Step-by-step explanation:
1--1 2 2
------- = ------ = -----
2--3 5 5
I'm 100% sure this time
A scuba diver is 5 1/2 feet below the surface of the water. She then dives 2 2/5 feet deeper. How far below the surface of the water is the scuba diver?
A. 7 9/10
B.-7 3/7
C. -7 9/20
D. -7 9/10
Answers
Solve for r. -pr + r = 8r - 2
Answers
Answer:
r = 2/(p + 7)Step-by-step explanation:
Solving for r
-pr + r = 8r - 2r - 8r - pr = -2- 7r - pr = -2r(p + 7) = 2r = 2/(p + 7)a) 15
b) 75
c) 90
d) 105
Answers
Answer:
a
Step-by-step explanation:
you can add but not subtract and so you can go to your step
Based on the given information, choose the abbreviation of the postulate or theorem that supports the conclusion that ΔABC ΔSRT. If the conclusion cannot be drawn from the given information, then choose "not possible." Given: A = S, BC = RT, AB = RS. SSS SAS ASA not possible
Answers
Answer:
SAS
Step-by-step explanation:
Given
[tex]Triangles\ ABC\ \&\ SRT[/tex]
[tex]A = S\\ BC = RT\\ AB = RS.[/tex]
Required
Select from the given options, which answers the question
The given parameters show that:
There's an equal angle
i.e.
[tex]A = S[/tex] Angle (A)
And equal two sides
[tex]BC =RT[/tex] Side (S)
[tex]AB = RS[/tex] Side (S)
So, we can postulate that SAS exist
Hence: option (b) answers the question
What is 42, 100, 000, 000 in scientific notation?
Answers
Answer:
4.21×10^10
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps :)
The 42, 100, 000, 000 in scientific notation wll be 4.21×10^10
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
The value in terms of power of 10 is known, helps in easy comparison of quantities differing by a large value.
Given the term as 42, 100, 000, 000
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places, that move will be the exponent on the 10. If the decimal is being moved to the right, the exponent would be negative. If the decimal is being moved to the left, the exponent will be positive.
The term in scientific notation is; 4.21×10^10
Learn more about scientific notation here:
https://brainly.com/question/3112062
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Which sequence shows the numbers in order from least to greatest?
A.
B.
C.
D.
Answers
Answer:
The answer is C
Step-by-step explanation:
-6 is the largest because it is an absolute value number so it turns into 6
-100 is the smallest because the bigger a negative number is the smaller it actually is.
which statement is false
Answers
Answer:
C
Step-by-step explanation:
measure BOA and measure COA are not congruent.
is 4.2837193205.............. a natural number , rational number, integer, irrational number, or a real number
I NEED HELP ASAP PLEASE HELP PLEASE