Answer:
The option D represents an interval with a positive average rate of change.
Step-by-step explanation:
Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:
[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.
Now we proceed to check each option:
A. [tex]a = -3[/tex], [tex]b = 3[/tex]
[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]
[tex]\bar f = 0[/tex]
B. [tex]a = -4[/tex], [tex]b = -1[/tex]
[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]
[tex]\bar f = -5[/tex]
C. [tex]a = -3[/tex], [tex]b = 1[/tex]
[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]
[tex]\bar f = -2[/tex]
D. [tex]a = -1[/tex]. [tex]b = 2[/tex]
[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]
[tex]\bar f = 1[/tex]
The option D represents an interval with a positive average rate of change.
Answer:
It would be D
Step-by-step explanation:
Select the correct answer from each drop-down menu.
A
m
D
G
F
с
B
FABERE, then line segment
is parallel to line segment
Reset
Next
Answer:
D-E is parallel to F-G which is parallel to B-C meaning all three are parallel
Step-by-step explanation:
Free cookies Just answer this question! Elena solves the equation x^2=7x by dividing both sides by x to get 7. She says
the solution is 7. Lin solves the equation x^2=7 by rewriting the equation to get
x^2-7=0. When she graphs the equation x^2-7=0, the x-intercepts are (0,0) and
(7,0). She says the solutions are 0 and 7. Why should Elena not divide by x?
x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.
Why should Elena not divide by x?
Here we have the quadratic equation:
[tex]x^2 = 7x[/tex]
Notice that we don't know the value of x, so technically, x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.
The quadratic equation can be rewritten as:
x^2 - 7x = 0
x*(x - 7) = 0
(x - 0)*(x - 7) = 0
So the two solutions are x = 0 and x = 7, because x = 0 is a solution, we see that x can be equal to zero, so we can't divide by x.
If you want to learn more about quadratic equations:
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A school boy agrees with his schoolmaster that he will pay a penny for every sum he gets wrong, if he wins 3 pence for every one he gets right. After doing 20 sums he is 4 dimes down. How many did he get right?
Answer:
you see he is 4 pens down you see is 3 pence for every one he gets right. after doing 20 sums he is 4 down so 20 dived by is 5 if there is an answer choice for 16 pick 16 if both pick 5 first trust me.
Student council is selling Roses and Candy Grams for Valentine's Day. Each Candy Gram costs $1.50
and each Rose costs $2.00. The student council made $368 from their sales. They sold a total of 217
Roses and Candy Grams. How many roses were sold? Show all your work for full marks! (Solve the linear
system using substitution or elimination).
Letr represent
Let c represent
I
Answer:
Number of Roses sold = 132
Number of Candy Grams sold = 85
Step-by-step explanation:
Let the number of Roses sold = [tex]r[/tex]
Let the number of Candy Grams sold = [tex]c[/tex]
Cost of one Rose = $1.50
Cost of [tex]x[/tex] Roses = $1.50 [tex]r[/tex]
Cost of one Candy Gram = $2.00
Cost of [tex]y[/tex] Candy Grams = [tex]\$2.00 \times c[/tex]
Total number of Roses and Candy Grams sold = 217
i.e.
[tex]r+c=217 ..... (1)[/tex]
Total cost = $368
Writing equation as per question statement:
[tex]\$1.50r+\$2.00c=\$368 ..... (2)[/tex]
Using elimination method, let us eliminate [tex]y[/tex] of the two equations.
Multiplying equation (1) with 2 and subtracting equation (2) from it:
[tex]0.50r=2\times 217 - 368\\\Rightarrow 0.50r=434 - 368\\\Rightarrow 0.50r=66\\\Rightarrow r=132[/tex]
By equation (1):
[tex]c=217-132\\c=85[/tex]
So, the answer is:
Number of Roses sold = 132
Number of Candy Grams sold = 85
Help will give a crown AND 83 POINTS
Answer:
A is correct
Step-by-step explanation:
How can ΔABC be mapped to ΔXYZ?
First, translate vertex A to vertex
.
Next,
ΔABC to align the sides and angles.
Answer:
X
Rotate
Step-by-step explanation:
correct on edge 2020
Answer:
a. x
c. rotate
Step-by-step explanation:
edge2021 :)
Qual é o oposto de de -3
Answer:
lo contrario de -3 es positivo tres o 3
Given that n=N-ab find the value of N when n=6,a=1 and b=2
Answer:
N = 8Step-by-step explanation:
n=N-ab
where n = 6
a = 1
b = 2
6 = N - 1(2)
N = 6 + 2
N = 8
plz help asap
thanks xoxoxoxoxox
A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a
linear function of the number of people. Write an equation in slope-intercept
form for this situation.
Answer:
y = 15x + 50
Step-by-step explanation:
We set out by finding the slope
the two points give are (15,275) and (25,425)
Slope m is;
y2-y1/x2-x1 = (425-275)/25-15 = 150/10 = 15
So the equation is like;
y = 15x + b
To get b, let us use the point (15,275)
We have
275 = 15(15) + b
b = 275-225
b = 50
So the equation is;
y = 15x + 50
A parachutist's speed during a free fall reaches 264 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Speed:
Distance fallen in 10 seconds:
Answer: They will fall 800 meters. And they are falling 80 meters per second.
Step-by-step explanation: You must first take 264 divided by 3.3 which equals 80, then multiply is by 10.
Total distance fallen in 10 seconds is given by the equation A = 800 meter
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the total distance fallen in 10 seconds be represented as A
Now , the value of A is
The parachutist's speed during free fall = 264 feet/second
Now , 1 meter = 3.3 feet
So , 1 feet = ( 1/3.3 ) meter
So , the value of 264 feet = 264 x ( 1/3.3 ) meter
On simplifying the equation , we get
The value of 264 feet/second = 80 meter/second
Now , the distance traveled by the parachutist every second = 80 meter
So , the distance traveled by the parachutist in 10 seconds = 10 x distance traveled by the parachutist every second
Substituting the values in the equation , we get
The distance traveled by the parachutist in 10 seconds A = 10 x 80
On simplifying the equation , we get
The distance traveled by the parachutist in 10 seconds A = 800 meter
Therefore , the value of A is 800 meter
Hence , the total distance is 800 meter
To learn more about speed click :
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What is the value of x in the equation:
1/3(x+3)+ 4 = -4+2
/3x
Answer:
Step-by-step explanation:
[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\[/tex]
or if it is
[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}[/tex]
You are $45 how many cars did you wash
Answer:
Give the full question, then I might be able to solve it.
the fastest train in the western hemisphere is acela express on a route between boston,massachusetts and new haven,conneticut the train regulary travels 135 miles in 60 minutes what is the speed in mies per minutes on the portion of the route
Answer:
acela express
Step-by-step explanation:
it travles 135 miles in and hout
Answer:
2.25
Step-by-step explanation:
its right on edg
A company that makes hair-care products had 2,000 people try a new shampoo. Of the 2,000 people, 6 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
*blank* % of the people had a mild allergic reaction.
Answer:
0.3%
Step-by-step explanation:
Answer:
0.3%
Step-by-step explanation:
Divide 6 by 2000
6/2000 = 0.003
One Way to Solve:
To convert any percentage to a decimal, move the decimal point two spaces back from the percentage
0.003 = 000.3%
a car can drive 600 miles on 18 gallons of gasoline. How many miles can a car drive on 15 gallons of gasoline
Answer:
Use the cross technique if it’s name like that in English but , I wish you can understand it from what I‘ve written .
Please help
Tracy is saving to buy a new guitar that costs $253.77 (including tax). Tracy has saved $136.27, and she can save $23.50 each week.
Which equation could you use to find how long it will take to save for the guitar?
$253.77 + $136.27 = $23.50 w
$253.77 - w = $136.27 + $23.50
$136.27 + $23.50 w = $253.77
$23.50 w = $253.77
Answer:
is the last one brof
Step-by-step explanation:
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, add 3 to it and multiply the result by
Answer:
6
Step-by-step explanation:
u use the equation 2x
so It looks like this...2(3)
so the result is 6
pls mark me as brainliest
my brain is too tired to function someone save me
Answer:
(3,2)
Step-by-step explanation:
Hope I helped
If anyone plays pokemon go put your code in your answer and I will add you
that's not why this app is for
Answer:
i don't sorry! my friend does... let me see if i can get their code
Step-by-step explanation:
What is 1/3-5/6/5/6 enter ur answer of simplest form
Answer: 0.30555555555
Step-by-step explanation:
I NEED HELP ASAP!!!!!!ANY RIGHT ANSWER GETS BRAINLIEST!!!
A bookstore is advertising 25% off all books today. What is the sale price of a book that has a retail price of $18?
a.$13.50
b.$4.50
c.$22.50
d.$16.50
Evaluate 6g - 8k when g=4 and k=2.8
Answer:
Step-by-step explanation:
Putting values in the equation
6g - 8k
6(4) - 8(2.8)
24 - 22.4
= 1.6
Step-by-step explanation:
=6g-8k
=6×4-8×2.8
=24-22.4
=1.6
As I guess
hope it help u.
answer the question pls xx
Answer:
3 lines of symmetry
Step-by-step explanation:
the lines go through the vertices of the triangle
HELPPPP PLZZZZ
its ok khan academy
Answer:
2/3
Step-by-step explanation:
You rise up the y axis 2 times
and
you run/ go across the x axis 3 times
rise/run or y/x
i neeed help asap please
Answer:
X=8
Step-by-step explanation:
EASY MATH
Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does she need to win in a row to get 20%?
Answer:
10
Step-by-step explanation:
Given that Sasha has won 0 games in the 40 games she has played.
Let she needs to win x game in a row, so
Total game she played = 40 + x
The number of the game she won is x, which is 20% of the total game she played, so
x = 20% of (40+x)
[tex]\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.[/tex]
Hence, she needs to win 10 games in a row.
simplify this expression 9xy4x 3x3y
Answer:
81 x y^5
Step-by-step explanation:
Simplify the following:
9×3×3 x y^4 y
3×3 = 9:
9×9 x y^4 y
9 x y^4×9 y = 9×9 x y^(4 + 1):
9×9 x y^(4 + 1)
4 + 1 = 5:
9×9 x y^5
9×9 = 81:
Answer: 81 x y^5
Jaimie earned $80 this week coaching basketball, which is twelve dollars more than twice what she made last week. How much money did Jaimie make last week?
Please Help!!!!
Answer:
34
Step-by-step explanation:
$80 - 12 is 68, and 68/2 is 34.
Hope this is right and helps!
Use a sentence to describe c(10)=-3
Answer:
a number times ten equals negative three
Step-by-step explanation: