Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.
A.) -2
B.) 2
C.) 3
D.) 6
Answers
f(x = -2) = 0
f(x = 0) = 6
Avg = 6 / 2 = 3
Answer is C
We have to use absolute valuee for x distance because distance between x1 and x2 cannot be negative it can only be positive.
Answer:
3
Step-by-step explanation:
Related Questions
China issued the largest stamp ever, 210mm Long and 65mm wide. Find the ratio of length to width
Answers
----------------------
42 : 13 is the ratio of 210mm long and 65mm wide
----------
divide both numbers by 5
The ratio of the length to the width of the largest stamp ever issued by China, having dimensions of 210mm long and 65mm wide, is approximately 3.23:1 after dividing the length by the width.
Explanation:To answer the question about the ratio of the length to the width of the largest stamp ever issued by China, we need to follow a few simple steps. First, we have the dimensions of the stamp: 210mm long and 65mm wide.
Step 1: Identify the numbers given. In this case, the length of the stamp is 210mm, and the width is 65mm.
Step 2: To find the ratio of length to width, we need to divide the length by the width. So, 210 divided by 65 gives us approximately 3.23 (rounded to two decimal places).
Therefore, the ratio of the length to the width of the largest stamp ever issued by China, in simplest form, is approximately 3.23:1.
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The ratio of an objects wait on Earth to its weight on Neptune is 5:7. How much would a person who weighs 150 pounds weigh on Neptune
Answers
The ratio "5:7:
Means for every 5 pounds on earth is an extra 2 pounds (or 7 pounds) on Neptune.
So to get from 5 to 150 is a factor of 30. So our ratio is now
"150:210"
So the object weighs "210"
Please help me with an addition formula problem!
Solve the system by the elimination method. Check your work.
2a + 3b = 6
5a + 2b - 4 = 0
Answers
5a + 2b = 4
We multiply the first equation by 5 and the second by 2 and and subtract the second from the first:
10a + 15b = 30
-10a -4b = -8
11b = 22
b = 2
2a + 3(2) = 6
2a = 0
a = 0
Checking,
5(0) + 2(2) = 4
4 = 4, true
The universal set is the set of rational numbers. S is the set of integers. Which represents Sc?The universal set is the set of rational numbers. S is the set of integers.
Which represents Sc?
Answers
{x|x is a rational non-integer}
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Final answer:
To find Sc, which represents the complement of set S, we need to determine the elements that are in the universal set but not in S. Sc represents the set of all rational numbers that are not integers.
Explanation:
To find Sc, which represents the complement of set S, we need to determine the elements that are in the universal set but not in S. The universal set, in this case, is the set of rational numbers, which includes all numbers that can be expressed as a quotient or fraction. Set S is the set of integers, which includes the whole numbers and their negatives.
So, to find the complement of S, we need to consider all rational numbers that are not integers. This includes numbers with decimals or fractions that are not whole numbers. For example, 4.5, -3.2, and 1/2 would be in the complement of S.
Therefore, Sc represents the set of all rational numbers that are not integers.
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following.
after 1 s = after 3 s = after 7 s =
Answers
What is the value of X plez?
Answers
Doug dives from a platform that is 7.5 meters above water. His dive takes him 2.1 meters below the surface of the water. How far does Doug's dive take him?
Answers
what is the circumference this unit circle
Answers
The circumference of a unit circle is calculated using the formula C = 2πr. For a unit circle, where the radius (r) is 1, the circumference (C) is 2π, approximately 6.2832.
The Circumference of a Unit Circle
In mathematics, the circumference of a circle is the distance around its perimeter. For a unit circle, which is a circle with a radius of 1, the formula to calculate circumference is given by C = 2πr, where r is the radius.
Since the radius of a unit circle is 1, substituting in the formula gives us:
C = 2π(1) = 2π
Thus, the circumference of a unit circle is 2π, which is approximately 6.2832 when using the value of π ≈ 3.1416.
what is 0.6(r 0.2)=1.8
Answers
r=15
the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
To solve the equation 0.6(r - 0.2) = 1.8, we first distribute the 0.6 to the terms inside the parentheses:
0.6r - 0.6(0.2) = 1.8
0.6r - 0.12 = 1.8
Next, we add 0.12 to both sides of the equation to isolate 0.6r:
0.6r - 0.12 + 0.12 = 1.8 + 0.12
0.6r = 1.92
Now, to solve for r, we divide both sides of the equation by 0.6:
[tex]\[ \frac{0.6r}{0.6} = \frac{1.92}{0.6} \][/tex]
[tex]\[ r = \frac{1.92}{0.6} \][/tex]
[tex]\[ r \approx 3.2 \][/tex]
So, the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
The probable question maybe:
solve the equation 0.6(r - 0.2) = 1.8
8) g(n) = 3n + 2
Perform the indicated operation
f (n) = 2n
2
+ 5
Find g( f (2))
Answers
Step 1: Calculate f(2).
Step 2: Calculate g(f(2)).
Step 1.
f(n) = 2n² + 5
If n = 2, then f(n) = f(2) = ?
f(2) = 2 * 2² + 5 = 2 * 4 + 5 = 8 + 5 = 13
Step 2.
g(n) = 3n + 2
If n = f(n), then g(n) = g(f(n)).
If f(2) = 13, then g(f(2)) = g(13) = ?
g(13) = 3 * 13 + 2 = 39 + 2 = 41
change 50/16 into a mixed number .Reduce your answer to lowest terms a.48 3/16
b.3 1/25
c.3 1/8
d.4 7/8 ? ...?
Answers
How did 25/10 gets simplified tho??
Answers
10 / 5 = 2
so the fraction can be simplified to 5/2
so for 25/10 the highest common factor is 5. So you have to divide both numbers by 5 to simplify it.
25/10 = 5/2
:)
Solve the system of equations below by graphing them with a pencil and paper. Choose the correct ordered pair (b, u).
u = -b + 21
u = -2b + 30 ...?
Answers
u = -2b + 30 . . . (2)
Equating (1) and (2),
-b + 21 = -2b + 30
-b + 2b = 30 - 21
b = 9
u = -9 + 21 = 12
Therefore, (b, u) = (9, 12).
Write your own word problem, then create the slope intercept form equation.
Answers
the slope equation would be w=100-12d
The slope-intercept form equation for the word problem is [tex]\( y = \frac{3}{4}x + 1 \).[/tex]
Let's consider a word problem where a local gym charges a $1 sign-up fee and $3 for every hour of use. If we let [tex]\( x \)[/tex] represent the number of hours a member uses the gym and [tex]\( y \)[/tex] represent the total cost, we can write an equation in slope-intercept form.
The slope-intercept form of a linear equation is given by [tex]\( y = mx + b \)[/tex], where [tex]\( m \)[/tex] is the slope of the line and [tex]\( b \)[/tex] is the y-intercept.
In this scenario, the slope [tex]\( m \)[/tex] is the cost per hour, which is $3. The y-intercept [tex]\( b \)[/tex] is the initial sign-up fee, which is $1.
Therefore, the equation representing the total cost [tex]\( y \)[/tex] as a function of the number of hours [tex]\( x \)[/tex] used at the gym is:
[tex]\[ y = 3x + 1 \][/tex]
However, to make the equation more precise and to express the cost per hour as a fraction, we can write $3 as [tex]\( \frac{3}{1} \)[/tex] and then multiply both the numerator and the denominator by 4 to get [tex]\( \frac{3 \times 4}{1 \times 4} = \frac{12}{4} \)[/tex]. Simplifying the fraction [tex]\( \frac{12}{4} \)[/tex] gives us [tex]\( \frac{3}{4} \)[/tex]per hour.
Thus, the final slope-intercept form equation for the word problem is:
[tex]\[ y = \frac{3}{4}x + 1 \][/tex]
write a polynomial function in standard form with zeros at -3,-1, and 1
Answers
Answer:
Should be f(x) = x^3 + 3x^2 − x − 3 because this is written in standard form.
Step-by-step explanation:
Find the quotient. Write your answer in standard form. : 3-i/3+i
A. 1-i
B. 3/5 + 4/5 i
C. 4/5 - 3/5 i
D. -1
Answers
[tex] \frac{3-i}{3+i} = \frac{(3-i)(3-i)}{(3+i)(3-i)} \\ \\ (a+b)(a-b) = a^{2} -b^{2} \\ \\ \frac{(3-i)(3-i)}{(3+i)(3-i)}= \frac{ (3-i)^{2} }{3^{2}-i^{2} } \\ \\ (a-b)^{2} =a^{2}-2ab+b^{2} \\ \\ \frac{ (3-i)^{2} }{3^{2}-i^{2} } = \frac{3^{2}-2*3*i+i^{2} }{3^{2}-i^{2} } = \frac{9-6i+i^{2}}{9-i^{2}} \\ \\ i = \sqrt{-1} \\ i^{2}=-1 \\ \\ \frac{9-6i+i^{2}}{9-i^{2}} = \frac{9-6i-1}{9+1} = \frac{8-6i}{10}= \frac{8}{10}- \frac{6i}{10}= \frac{4}{5}- \frac{3}{5}i [/tex]
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. graph of line going through ordered pairs (0, 300) and (450, 0)
Answers
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
The ordered pair below is a solution to which equation? (2, 12) A.y=1/5x B.y=1/2x C. y = 2x D. y = 6x
Answers
12 = 6(2)
12 = 12 (correct)
so (2,12) is a solution to : y = 6x
Answer:
D. y = 6x
Step-by-step explanation:
In order to conclude which pair is a real solution to one of these equations, we need to evaluate the point in each equation.
Let:
[tex](x,y)=(2,12)[/tex]
So, this pair will be a solution if when evaluating the value of x=2 in the function the result is y=12.
For A.
[tex]y(x)=\frac{1}{5}x \\\\y(2)=\frac{2}{5} =0.4\neq12[/tex]
This pair is not a solution to this equation.
For B.
[tex]y(x)=\frac{1}{2}x\\\\y(2)=\frac{2}{2} =1 \neq 12[/tex]
This pair is not a solution to this equation.
For C.
[tex]y(x)=2x\\\\y(2)=2*2=4 \neq 12[/tex]
This pair is not a solution to this equation.
For D.
[tex]y(x)=6x\\\\y(2)=6*2=12[/tex]
This pair is a solution to this equation.
original amount 90$ new amount 84.50 what's the percent of change?
Answers
change=original-new
change=90-84.50=5.5
percent change=100 times 5.5/90
percent change=550/90
percent change=6.11111
percent change=6.1%
The percent of change from the original amount of $90 to the new amount of $84.50 is approximately a 6.11% decrease.
To calculate the percent of change, we need to determine the difference between the original and new amounts, then divide that difference by the original amount and multiply by 100 to get the percentage. In this case, the original amount is $90, and the new amount is $84.50. The difference between these two amounts is $90 - $84.50 = $5.50. We then take this change and divide it by the original amount: $5.50 / $90. Finally, to get the percent change, we multiply by 100:
($5.50 / $90) times 100 = 6.11%
The percent of change from the original amount of $90 to the new amount of $84.50 is approximately 6.11% decrease.
Jasmin read 1 3/4 pages in one minute. Armando read 1 1/2 times the number of pages that Jasmin read. How many pages did Armando read? Express your answer in simplest form. PLZZZZZ HELPP!!!!!!!!!!!!!!
Answers
Hope this helps and if it does, happy studying and don't forget to mark as brainliest.
Write the following equation in general form 4x-6y=14
a. 4x-6y-14=0
b. 2x-3y=7
c. 2x-3y-7=0
Answers
Final answer:
The equation 4x - 6y = 14 can be written in general form as 4x - 6y - 14 = 0, which is option (a). This is the standard general form for a linear equation.
Explanation:
The equation given, 4x - 6y = 14, needs to be written in the general form. The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants. To rewrite the given equation in general form, we simply need to move all terms to one side of the equation. So the general form of the given equation is:
4x - 6y - 14 = 0.
This matches option (a) from the choices provided. It is important to note that a linear equation represents a straight line when graphed on the coordinate plane. The general form is helpful for various applications, including determining the x and y-intercepts.
Gary bought a car for $40,000. If V = 40,000(.85)t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price? ...?
Answers
Years Value
1 34000
2 28900
3 24565
4 20880.25
5 17748.2125
6 15085.980625
7 12823.08353125
8 10899.6210015625
9 9264.6778513281
10 7874.9761736289
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
D) 9 years
Step-by-step explanation:
Select all that justify the following statement.
10 + x 12 = 12x + 10
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
Answers
And this 10 + x12 =10 + 12x is e) commutative - multiplication
So you use them both. And they're both correct.
Answer:
The statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Step-by-step explanation:
Commutative Property
Let a, b be two numbers thus they satisfied the commutative property
i.e a + b = b + a
As given the expression.
10 + x ×12 = 12x + 10
First apply the Option (e) i.e Commutative - multiplication.
Thus expression becomes
10 + 12x = 12x + 10
Now apply the Option (a) i.e Commutative - addition.
Therefore the statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Write log6 5 as a logarithm of base 4.
1) (log4)5/(log4)6
2) (log4)6/(log4)5
3) (log5)4/(log6)4
4) (log6)4/(log5)4 ...?
Answers
We will use the change-of-base formula: [tex]log_a(x)= \frac{log_b(x)}{log_b(a)} [/tex]
So, if we want to write log6 5 as a logarithm of base 4. in these example a = 6, x = 5, b = 4:
[tex]log_6(5)= \frac{log_4(5)}{log_4(6)}[/tex]
The value of log₆ 5 as a logarithm of base 4 is,
⇒ log₄ 5 / log₄ 6
We have to given that;
Logarithmic function is,
⇒ log₆ 5
Now, WE can write in as a logarithm of base 4 as;
Since, WE know that;
⇒ logₐ b = logₓ b / logₓ a
Hence, By above rule we get;
⇒ log₆ 5
⇒ log₄ 5 / log₄ 6
Thus, The value of log₆ 5 as a logarithm of base 4 is,
⇒ log₄ 5 / log₄ 6
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Match the inequality to the graph of its solution.
a. n/4 ≤ -1
b. -10 ≥ -100
c. 5x ≥ 20
Answers
The given inequality is:
n/4 ≤ -1
we need to isolate the n on one side of the inequality. To do this, we will multiply both sides by 4 as follows:
n/4 x 4 ≤ -1 x 4
The inequality now is:
n ≤ -4
The correct graph representing this is graph (b)
Part (b):
The given inequality is:
-10 ≥ -100
So, we will just search for the graph the shows that -10 is greater than the -100
The correct graph representing this is graph (a)
Part (c):
The given inequality is:
5x ≥ 20
we need to isolate the x on one side of the inequality. To do this, we will divide both sides by 5 as follows:
5x/5 ≥ 20/5
The inequality now is:
x ≥ 4
The correct graph representing this is graph (c)
Answer:
idiot
Step-by-step explanation:
its b a c i think
a country's population in 1995 was 56 million in 2002 it was 59 million. estimate the population in 2016
Answers
Answer:
69 420 911
Step-by-step explanation:
Need help in math
How does the slope of the line y=-x affect the graph?
Instructions says :
Think about how the graph changed as a result of changing the slope to a negative. Write several complete grammatically correct sentences describing how changing the slope to a negative number changes the graph. Be specific and detailed.
Thank you. I will really appreciate that
Answers
rise/run = -1/1 = -1 = slope
So that's a more technical breakdown of the slope of -1
A fence post is 1.9 meters long. It is placed in a hole that is 0.65 meter deep. How far above the ground is the top of the fence post? Enter your answer as a decimal in the box.
Answers
HEELLLPPP ME?!?!?!? ANYONE?
Solve the system of equations and choose the correct ordered pair.
3x + 2y = 12
6x + 3y = 21
A. (4, 3)
B. (4, 0)
C. (2, 3)
D. (3, 2)
Answers
Peter has five times as much money as david both.if peter gves $28 to david, both of them will have equal amount of money. how much money did peter had in the beginning?
Answers
First, let P = Peter's starting money
and D = David's starting money
P = 5*D (Peter has 5 times as much as David)
P - 28 = D + 28 (Peter gives $28 to David, and both have the same now)
P = D + 56
substitution reveals that
D + 56 = 5D
56 = 4D
Therefore,
David = 14, and Peter = 70