Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
-3/5 > -4/5 in a number line
Answer:correct
Step-by-step explanation: >
Write the following sentence as an equation. Use x to represent "a number."
The product of 2 and the sum of
6 and a number is -40.
The equation is a
(Do not simplify.)
Answer:
Step-by-step explanation:
5×(-2+x)=-20
-10+5x=-20
5x=-20+10
5x=-10
x=-10/5
x=-2
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
The table shows the relationship between the number of cups of cereal in the number of cups of raisins in a cereal bar recipe jake potter and equivalent ratio on the coordinate grid below which of these explains why the point jake plotted is incorrect
Answer:
c i think
Step-by-step explanation:
Che sum of two numbers is 2. If one number is subtracted from the other, their difference is - 8. Find the numbeRs
Answer:
1st number (x) = -3, 2nd number (y) = 5
Step-by-step explanation:
x + y = 2, y = 2 - x
x - y = -8, y = x + 8
By substituting y = 2 - x in the other equation:
(2 - x) = x + 8
2 - 8 = x + x
-6 = 2x
x = -3
Now plug x = -3 into either equation:
y = 2 - x
y = 2 - (-3) = 5
So the numbers are -3, 5
What is the length of side YZ to the nearest tenth please show your work!
Length of side YZ to the nearest tenth is 16 ft
To solve this question we would use the sine rule. The sine rule states that
A/sin a = B/sin b
if we take our angle a to be XZY, and b to be ZXY.
Going by angles in a triangle, ZXY = 180 - 90 - 35 = 55. This means that our angle b is 55º
applying the sine rule, we have
11/sin 35 = B/sin 55
11/0.5736 = B/0.8192, if we cross multiply, we have
B = (11 * 0.8192)/0.5736
B = 9.0112/0.5736
B = 15.7 ft
learn more about sine rule here https://brainly.com/question/9599008
Answer:
15.7
Step-by-step explanation:
With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?
Answer:
85%
Step-by-step explanation:
71.40/84=0.85. multiply the decimal by 100 to get the percentage
Round to the nearest the sum of 39 and 125
Answer:
160
Step-by-step explanation:
39 + 125 = 164
164 rounds to 160
Answer:
160
Step-by-step explanation:
39+125=164
164 rounded=160
Hope this helps :)
show how the work is done and help and have to be fast with math
Answer:
Answer is 14
Step-by-step explanation:
By understanding the concept of math
Answer: you mom
Step-by-step explanation:
24+3m>6
Plot this on a number line and show steps please
[tex]\\ \tt\rightarrowtail 24+3m>6[/tex]
[tex]\\ \tt\rightarrowtail 3m>6-24[/tex]
[tex]\\ \tt\rightarrowtail 3m>-18[/tex]
[tex]\\ \tt\rightarrowtail m>-6[/tex]
Refer to attachment
Graph the equation y= -1/2x. Please help
Answer:
put one point b the negative -1 and another point by the 2 going long ways ------
Step-by-step explanation:
Round off the decimal 55.345 to 2 decimal places.
Answer:
Step-by-step explanation:
55.345 is rounded off two places therefore, the hundreths place
the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35
The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).
Answer:
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.
Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.
Step-by-step explanation:
a
In a math class with 25 students, a test was given the same day
that an assignment was due. There were 15 students who passed
the test and 20 students who completed the assignment. There
were 13 students who passed the test and also completed the
assignment. What is the probability that a student passed the test
given that they did not complete the homework?
a
Using it's concept, it is found that there is a 0.4 = 40% probability that a student passed the test given that they did not complete the homework.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 25 - 20 = 5 students that did not complete the homework, 15 - 13 = 2 passed the test, hence the probability is given by:
p = 2/5 = 0.4 = 40%.
0.4 = 40% probability that a student passed the test given that they did not complete the homework.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ2
Select the best description for the slope of Line a.
Positive Slope
Negative Slope
Zero Slope
Undefined Slope
HELPPPPPP PLEASEEEEEEE
Answer:
It has been a long time since I was even thinking about this, but I got 33 for the first one and I know how you feel, stay strong, you have a long time until you are finished
Step-by-step explanation:
(this might and probobly is wrong)
A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?
9514 1404 393
Answer:
4.5 lb
Step-by-step explanation:
The ingredients are proportional so ...
wheat/rice = 3/2 = ??/3 lb
Multiplying by 3 lb gives ...
?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb
The mixture contains 4.5 lb of wheat.
_____
Additional comment
Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)
a/b = c/d ⇔ b/a = d/c ⇔ a/c = b/d ⇔ c/a = d/b
answer this question fast
Answer:
corona virus sjuwiwiwoe
Step-by-step explanation:
iaisowowow
Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need
Answer:
2 more cans
Step-by-step explanation:
2 1/3 x 3 = 7 cans (this the amount of cans of dog food she has)
3 x 3 = 9
the 3 represents how she wants to feed 3 cans of dog food each day for 3 days; the other 3 represents 3 days
9 - 7 = 2
Max has 345 fiction books and 179 nonfiction books. He wants to give 205 books
to his local library for a donation. How many books does Max have left after
making his donation?
Answer:
319 books
Step-by-step explanation:
345+179=524
524-205 = 319
(8 points) will mark brainliest!! pls help:)
Answer:
7/10
Step-by-step explanation:
Have a nice day
Answer:
2.1
hope this helped
5/7 times 7/8 in simple form
Answer:
609
Step-by-stepStep-by-step explanation:
nope
A Penguin walks 6 feet in 15 seconds. At this speed How far does the penguin walk in 6 seconds?
Answer:
The penguin will walk 75.15 feet in 45 sec
Step-by-step explanation:
2(x + 1) - 3x
howwwwwww
Answer:
a = -x + 2
Step-by-step explanation:
First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a
Combine the like terms to get -x + 2 = a
Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture
Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
need help now please i will give 25 points
Answer:
Answer is letter B
if im wrong i'm sorry that my opinion
Answer:
B) y = -x + 2
Step-by-step explanation:
First, we pick 2 points that are on the line:
(0, 2) and (1, 1)
Next, we find the slope (m):
m = (y2 - y1)/(x2 - x1)
m = (1 - 2)/(1 - 0)
m = (-1)/1
m = -1
Then, we do point-slope formula to create the equation:
y - y1 = m(x - x1)
y - 2 = -1(x - 0)
y - 2 = -x
y = -x + 2
-
What are the odds of winning a game, if the probability of winning the game is 4/10
Answer:
40%
Step-by-step explanation:
4/10 = 40/100
40/100 as a percentage is 40%
find an equation for the line below
Answer:
y = 1/3 x + 14/3
Step-by-step explanation:
We can identify the two points shown easily.
They are (-2, 4) and (4, 6).
First, we find the line of the slope of the line that contains those two points.
slope = m = (y2 - y1)/(x2 - x1) = (6 - 4)/[4 - (-2)] = 2/6 = 1/3
Now we use one point and the slope to find the y-intercept.
y = mx + b
Let's use point (4, 6) and the slope, 1/3.
6 = (1/3)(4) + b
18/3 = 4/3 + b
b = 18/3 - 4/3
b = 14/3
The equation is
y = mx + b
y = 1/3 x + 14/3
Can someone answer this for me
Answer:
s=4
Step-by-step explanation:
area of square is side*side
so that means s*s=16
so s = 4
a student required to 40% marks to pass in exam he got 190 marks and fail with 10 marks. find total marks?
Answer:
500
Step-by-step explanation:
40%=190+10
40%=200
10%=50
100%=500