What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths
Using it's concept, it is found that the average rate of change of the function over the interval [4,13] is given by:
[tex]\frac{4}{9}[/tex]
What is the average rate of change of a function over an interval?It is given by the change in the output divided by the change in input.
In this problem, we have points (4,8) and (13,12), hence the rate of change is given by:
r = (12 - 8)/(13 - 4) = 4/9.
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Answer:
B
Step-by-step explanation:
4/13
50 points --- will give brainliest
Answer:
Add the fractions together on the right side of the equation.
Step-by-step explanation:
Notice that two fractions on the right side of the equation in the previous step have the same denominator. If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]
Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]
Therefore, the solution is:
Add the fractions together on the right side of the equation
I need help! It is for a task.
[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]
Step-by-step explanation:
6q/4 (6g) - q
6(-4)/ 4 [6(1)] - (-4)
-24/4 (6) + 4
-6(6) + 4
-36 + 4
-32
Juan is placing a fence in his yard, he has 15 m of fences and he cuts it
into 4 equal pieces. How long is each piece of fence?
Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage
The standard deviation of the amount paid for monthly water usage is $35.25
How to determine the standard deviation?From the summary statistics, we have:
Standard deviation, σ = 2350
Rate = $0.015
The standard deviation of the amount is calculated using:
σ = Standard deviation * rate
This gives
σ = 2350 * $0.015
Evaluate
σ = $35.25
Hence, the standard deviation of the amount paid for monthly water usage is $35.25
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I need the numbers please con y’all help me
Answer:
[tex]y=\frac{2}{3}x+4[/tex]
Step-by-step explanation:
Calculate the slope by using rise over run to get 2/3x
The Y Intercept is 4
1 point
A rectangular room measures 13 feet by 16 feet. You want 1/3rd of it to turn into a new half bathroom. How much sq feet is left to the nearest whole sq foot?
A) 155 sqft
B) 188 sq ft
C) 139 sq ft
D) 88 sq ft
Answer:
D
Step-by-step explanation:
13x16=208
208/3= 69 reapeated.
PLEASE HELPPP THANK U SO MUCH
Answer:
396 = 341q-333
Step-by-step explanation:
396 is (396 =)
the quantity q times 341 (341q)
333 subtracted from (-333)
Answer:
341q - 333 = 396
Step-by-step explanation:
multiply q and 341, you get 341q
a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3
therefore your equation will be 341q - 333 = 396
extra information :
341q = 396 + 333
341q = 729
q = 729/341
q = 2.137829912
Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab
Answer:
AB=5
Step-by-step explanation:
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB= 3(3)-4
9-4
5
Answer:
ab = 5.
Step-by-step explanation:
As the 2 sides are equal in length:
3x - 4 = 5x - 10
3x - 5x = -10 + 4
-2x = -6
x = 3.
So ab = 3x-4 = 3(3)-4
= 5.
You flip a coin and you roll a standard 6 sided number die. What is the probability that your flip heads and roll a number less than 3?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
p(H and <3)= [tex]\frac{1}{2}[/tex]×[tex]\frac{2}{6}[/tex]
= [tex]\frac{1}{6}[/tex]
Which of the following inequalities matches the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.
It indicates that the line equation is:
For various x values, y=-1.
Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.
As a result, the inequality is:
y≥-1
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
Hope this helps
y
5
4
32
2
1
-5 -4 -3 -2 -1 0
-1
-2
Type here to search
လ ရာ
-3
1 2 3 4 5
What is the equation of the blue line?
X
hp
14°C
Answer:
y=4x-3
Step-by-step explanation:
Using y - intercept form:
y=mx+b
Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.
What is the distance between the two points?
I will give 20 points and maybe brainiest, please help me
Answer:
The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.
Step-by-step explanation:
We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.
Hope this helps:) Goodluck!
Silvia was asked to find the Sin(D). her response was 12/15. the teacher said Silvia answer was incorrect what did she do wrong? how can she fix it?
help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.
Answer:
Step-by-step explanation:
Draw a straight line.
Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees going up and apart.
Then draw the fourth line joining the ends of these 2 lines.
The 2 angles formed will equal 60 degrees.
The quadrilateral formed is a trapezoid.
How many milligrams are equal to 63 grams? 63,000 milligrams 6,300 milligrams 630,000 milligrams 630 milligrams
Answer:
63,000 milligrams
Step-by-step explanation:
there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000
Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?
Answer:
12 ft
Step-by-step explanation:
Tim Height: Tim Shadow
5ft : 2ft
Tree Height: Tree Shadow
30ft : ?ft
Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.
Therefore, 2ft x 6 = 12ft
The Tree's Shadow is 12ft.
An exam consists of 10 multiple choice questions and 5 open response
questions. Students are responsible for answering 8 of the multiple choice ques-
tions and 3 of the open response questions. How many different ways can a
student complete the exam?
Answer:
I think it's 55
Step-by-step explanation:
10C3 + 5C3
One number is five more than another number. If the square of the smaller number is 3 more than 3 times the larger number, what are the numbers?
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
Josie is trying to select a green block out of a bucket that has 4 green blocks and 8 other colors. max is rolling a die and is trying to get a 1 or a 2. who has a better chance of getting their desired result?
Answer: Max. Max has a 49% chance of getting a 1 or 2 when Josie only has a 33% chance of getting a green block
............................................................................
For function f(x), which pair of limits would verify the existence of a vertical asymptote at x = –1?
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
Limit of a functionFor the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.
Mathematically, the expression below must be true
[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]
This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:
[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]
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Charlie raked 23 piles of leaves. jessie raked 14 piles of leaves.
how many more piles of leaves did charlie rake than jessie?
20% of the guest at the party were children. if 15 children attended the party, how many adults attended?
Complete the table for the equation below
Answer:
-1
2
4
Step-by-step explanation:
You have to replace x with each number that is given, follow the order of operations, and then you have the correct y value.
What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24
Answer: 21
Step-by-step explanation:
Mode is the value that appears most often in a set of data values.
Write the numbers in your data set from least to greatest.21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29
Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.Answer:
The mode for the data set is 21
Step-by-step explanation:
The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5
1 is the mode because there are more 1's than any number in the data set.
Your welcome! ;D
4w<32
Help about to fail my math class lol
Write 149,597,870,700 in scientific notation with 3 significant figures
Answer:
1.50 x 10^11.
Step-by-step explanation:
There 11 digits after the 1 so it is:
1.50 x 10^11.
(1495 to 3 s. f. is 150)
A segment with endpoints at the center and on the circle.
Answer:
The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.
Step-by-step explanation: