Answer:
5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.
Step-by-step explanation:
What is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3
Simplify.
36x4y6z2
12xy8z2
Answer:
(36/12)×(4y/8y)×(z2/z2)×6×(x/x)=
3× 1/2 ×6
3/2×6=9
what´s the answer to this?
Step-by-step explanation:
it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.
the first table (top left) increases x constantly by 1.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the second table (top right) increases x constantly by 2.
and y increases constantly by 2.
this is constant also in relation to x.
in technical terms : the slope of the function is the same for every point of the function.
in other words : it is a straight line all the way.
so, it is a linear function.
the third table (bottom left) increases x constantly by 1.
but y increases first by 4 and then by 1 and then again by 1.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the fourth table (bottom right) increases x constantly by 2.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
There are 13 books on your shelf, and you will take 5 of them on vacation with you.
How many ways can the books be chosen?
Answer:
Important, funny and book about the place you are going?
Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36
The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).
The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.
Hint:
Every row will have 4 numbers, 1 in each bubble which will give us 100.
The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100The rest of the arrangement is shown in the figure 2 attached below. (See attachment).
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help me please!! and thank you
Answer:
y = -(5/6)x + 0.917
Step-by-step explanation:
We can calculate a slope with the two given points:
(-2.5,3) and (3.5,-2)
Rise (change in y) = -2 - (3) = -5
Run (change in x) = 3.5 - (-2.5) = 6.0
Slope = Rise/Run = -5/6
The line has the following form:
y = -(5/6)x + b
We can find b, the y-intercept, by using one of the two points in the equation and then solve for b. I'll choose (-2.5,3):
y = -(5/6)x + b
3 = -(5/6)*(-2.5) + b
3 = 2.083 + b
b = 0.917
y = -(5/6)x + 0.917
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
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What is the volume?????
if you add -10 to 4 times the mystery number you get 0 what is the mystery number?
Answer:
2.5
Step-by-step explanation:
2.5x4=10
10-10=0
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Each friend will pay 13.60 dollars.
Step-by-step explanation:
68/5 is 13.6
A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Answer:
The scuba diver is 27 feet below sea level.
-
Hope this will assist you.
The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:
42/2 + 6 = X 21 + 6 = X 27 = X
Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
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Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
What type of a regular polygon in which each interior angle is 2/3 of two right angles?
Answer:
Triangle
Step-by-step explanation:
90/3=30
30×2=60.
60° internally in a triangle.
A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?
Answer:
107 pages.
Step-by-step explanation:
100 - 47 - 28 = 25% are on Physics.
Number of pages on physics = 0.25 * 428
= 107.
Answer:
There are 107 pages devoted to physics.
Step-by-step explanation:
The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);
the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is
201 + 120, or 321.
Subtracting this subtotal from the book's 428 pages yields 107.
There are 107 pages devoted to physics.
solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps
Answer:
A. 2(a+5) = 16
2a + 10 = 16
2a = 16-10
2a = 6
2a÷2 = 6÷2
a = 3
B. 4p-2/3 = 7/3
4p = 7/3 + 2/3
4p = 3
4p÷4 = 3÷4
p = 3/4
C. 3y/2 + 8 = -4
3y/2 = -4 - 8
3y/2 = -12
[ 3y/2 = -12 ] 2
3y = -24
3y ÷ 3 = -24 ÷ 3
y = -8
[tex] \: \: \: \: \: [/tex]
A.) a = 3
B.) p = ¾
C.) y = -8
hope it helpsrefer to the attachment
[tex] \: \: \: \: \: \: \: \: [/tex]
given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?
Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
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Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]
[tex]14x+4+5x-1+2x+9=180[/tex]
[tex]14x+5x+2x+4-1+9=180[/tex]
[tex]21x+12=180[/tex]
[tex]21x=180-12[/tex]
[tex]21x=168[/tex]
[tex]\frac{21x}{21}= \frac{168}{21}[/tex]
[tex]x=8[/tex]
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°
Hey please help thanks
Step-by-step explanation:
a=b as it is alternative angles
so 6x+5=4x+45
6x-4x =45-5
2x=40
x=40 /2
x=20
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Drawing Tools
Click on a tool to begin drawing.
The inverse function will have x intercept additive inverse of this.
Inverse of the line's interceptsx-intercept=-(-5)=5y intercept=1Now
equation of line in intercept form
[tex]\\ \sf\longmapsto \dfrac{x}{a}+\dfrac{y}{b}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{5}+\dfrac{y}{1}=1[/tex]
[tex]\\ \sf\longmapsto \dfrac{x+5y}{5}=1[/tex]
[tex]\\ \sf\longmapsto x+5y=5[/tex]
Graph attached
The Graph of the inverse of the function is given below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
From the given graph,
x intercept=-5
y intercept=1
The inverse function will have x intercept additive inverse of this.
The inverse of the line's intercepts
x-intercept = 1
y-intercept = -5
Now
equation of a line in intercept form
x/a + y/b = 1
x/1 +y/-5 = 1
5x - y = 5
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Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
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What is the slope-intercept form of the equation x + y= -15?
Answer:
x+y=-15
y=-x-15
Step-by-step explanation:
9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
Someone please help me!
Answer:
$343.75
Step-by-step explanation:
$5.50 × 125 = $687.50 ÷ 2 = $343.75
Answer:
$343.75
Step-by-step explanation:
Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75
Find the sum: -1 + 4 + 9 + ... + 64
Answer:
= 78
Step-by-step explanation:
Step One:
1 + 4= 5
Step Two:
5+9= 14
Step Three:
14+64= 78
= 78
Hope it helps :)
Answer: 441
Step-by-step explanation:
The formula for an arithmetic sum is
[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]
We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like
---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------
-1 0 1 2 3 4 5 6 7 8 9 10 11 ...
You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is
[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]
Reese’s sister earns $15 per hour. The store offers her a raise - a 6% increase per hour after a raise how much will Reese sister make per hour
Answer: $15.90/hr
Step-by-step explanation:
We need to add 6% to her $15/hr current pay. This can be calculated with:
$15/hr *(1+0.06) = $15.90/hr
The "(1+0.06)" represents a) 1 the current salary, and b) the 6% raise.
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
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