The average rate of change of f(x) = 2x^2 - x - 4 over the interval -4 < x < 2 is -5.
To find the average rate of change of a function over an interval, we need to calculate the difference in the function values at the endpoints of the interval and divide it by the difference in the x-values.
The given function is f(x) = 2x^2 - x - 4.
Let's calculate the function values at the endpoints of the interval: -4 and 2.
For x = -4:
f(-4) = 2(-4)^2 - (-4) - 4 = 32 + 4 - 4 = 32.
For x = 2:
f(2) = 2(2)^2 - 2 - 4 = 8 - 2 - 4 = 2.
Now, we can calculate the difference in the function values: f(2) - f(-4) = 2 - 32 = -30.
Next, we calculate the difference in the x-values: 2 - (-4) = 6.
Finally, we can calculate the average rate of change by dividing the difference in the function values by the difference in the x-values:
Average Rate of Change = (f(2) - f(-4)) / (2 - (-4)) = -30 / 6 = -5.
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How can you find the length of an arc
a vehicle traveled at a speed of 54 kilometers per hour for 3 hours. find the distance traveled
Answer:
162
Step-by-step explanation:
54x3
Evaluate the algebraic expression x^2 - 20 for x = 7 and for x = 9
Answer:
29
61
Step-by-step explanation:
x^2 - 20
x = 7 and 9
Evaluate
___________
We know the values of x, let's substitute them with the x in the problem :
(7)^2 - 20
49 - 20
29
(9)^2 - 20
81 - 20
61
help please!! (math)
Answer:
It's gonna be C and good luck!
Complete the remaining columns in the chart by calculating the missing values for each category. Round your percentages to the nearest tenth of a percent. (16 points)
Answer:
yearly cost for housing expenses = $11,400, average monthly cost for food = $650
yearly clothing cost = $900,
average monthly cost for transportation= $500,
Yearly cost for insurance & medical= $14,400
yearly cost for emergency fund = $600
average monthly college saving = $50
Step-by-step explanation:
Yearly housing = monthly cost * 12 = 950 * 12 = 11400
Food, monthly = 7800 /12 = 650
Clothing, yearly = 75 * 12 = $900
Monthly transport = 6000 / 12 = $500
Insurance and medical = 1200*12 =14400
Emergency fund = $50 * 12 = $600
College saving = $600 / 12 = $50
find the product of (x-3)^2
Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2 -3x -3x + 9
x^2 - 6x + 9
^2 means (x - 3) times itself twice.
(x - 3)(x - 3) multiplying polynomials- Firsts, Outs, Inners, Lasts (FOIL)
Firsts (x* x) Outs (x*-3) Inners (-3 * x) Lasts (-3*-3)
xx -3x -3x +9 Combine like terms.
-3x -3x Adding/subtracting integers- same signs means you add
and keep the sign.
x^2 -6x + 9
Which expression is equivalent to 4(9 + 7)?
Answers:
A. 36 + 7
B. 13 + 11
C. 36 + 28
D. 13 + 7
Will mark brainliest!!
Answer:
c 36+28
Step-by-step explanation:
the answer is c 36 + 28
34.8 x 7 what is the answer?
Answer:
243.6
Step-by-step explanation:
Please Help. Im stuck on this question and i cant figure it out
Answer:
Where is it?
Step-by-step explanation:
Where is the question exactly?
Camille's birthday party will cost $32 if she invites 16 guests. How many guests can there be, at most, if Camille can afford to spend a total of $48 on her birthday party? Assume the relationship is directly proportional.
Answer:
I think its gon be 24 guests
Answer:
24 people can be there at most :)
Step-by-step explanation:
$32 divided by 16(guests) is $2
so its $2 per person
so 48$ divided by $2 is 24
So Camille can invite 24 people at the cost of 48$ being her total at most :)
2-(3x+5)=5-2x
i have too answers but need the right one lol
Answer:
x = -8
Step-by-step explanation:
2 - (3x + 5) = 5 - 2x
Subtract 2 from each side.
-(3x + 5) = 3 - 2x
Apply the negative sign in front of the parentheses.
-3x - 5 = 3 - 2x
Add 5 to both sides.
-3x = 8 - 2x
Add 2x to both sides.
-x = 8
We can't have a negative x value, so we'll need to multiply each side by -1.
x = -8
Hopefully, this helped and wasn't too confusing!
Answer:
Solution given;
2-(3x+5)=5-2x
2-3x-5=5-2x
-3-5=3x-2x
x=-8 is your answer
9e + 4=-5e + 14 + 13e
Answer:
e= -10/9
Step-by-step explanation:
Answer:
e = 10
Step-by-step explanation:
1.) We need to manipulate the equation to get e by itself.
2.) To solve the equation, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e (Combine like terms)
9e + 4 − 8e = 14 + 8e − 8e (Subtract 8e from each side)
e + 4 = 14 (Combine like terms)
e + 4 - 4 = 14 - 4 (Subtract 4 from each side)
e = 10 (Combine like terms.
3.) Answer: e = 10.
Now lets check our work. To check your work, do the following steps;
9e + 4 = −5e + 14 + 13e
9e + 4 = 14 + 8e
9(10) + 4 = 14 + 8(10)
90 + 4 = 14 + 80
94 = 94
By doing those steps we can confirm the answer, e = 10, is true.
What is the slope of the line below asap plzzzzzzzzzzzzzzzzzzzzz quick
Answer:
w of king akinf arro
Step-by-step explanation:
A driver was going more then 15 miles per hour over the speed limit when he received a speeding ticket. If the driver's speed was 75 miles per hour, what was the speed limit, m, on the road where he was driving.
I need help with this ASAP!
Answer:
60
Step-by-step explanation:
You just subtract 75 - 15, and you get 60. I hope this helps :)
2/3x + 1/4 = 46/6x - 1/3
Answer:
x = 1/12
Step-by-step explanation:
2/3x + 1/4 = (8x+3) /12 (create equivalent fractions with a denominator of 12)
23/3x - 1/3 = (23x - 1) /3 *(46/6x = 23/3x)
8x + 3 = 23x - 1
12 3
now cross-multiply:
3(8x + 3) = 12(23x - 1)
24x + 9 = 273x - 12
9 = 252x - 12
21 = 252x
x = 21/252 which reduces to 1/12
Which is the graph of y = 3sqrt/X+1 - 2?
Look at the graph i sent you.
Graph of : y = 3sqrt(x+1) - 2
what is the degree of the following polynomial 2x^3
Answer:
3
Step-by-step explanation:
Whatever the highest exponent is determines the degree.
A number n increased by 4 is -19
Answer:
n=23
Step-by-step explanation:
4-23=19
meme
Answer:
-23
Step-by-step explanation:
-23+4= -19
Can I get help on this math problem makes makes no sense
simplify this equation: 2^-4 (2√3)^2
Answer:
download photo math you can take pictures of math problems and will solve them.
7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
102 = 1.2 x w
what is w?
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
Calcuate the 2 unit rates for the following 150 gallons in 50 seconds. this answer has 2 answers. please help the teacher is going to ask me for this question!!!
encuentra el MCM de 12 y 24
【Rep.】The least common multiple of 12 and 24 is 24.
[tex]\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}[/tex]
To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.
This method consists of extracting the common and uncommon prime factors, then
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 24}\\ \ 6 \ \ \ 12\\ \ 3 \ \ \ \ 6\\ \ 3 \ \ \ \ 3\\ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ \: \end{matrix} \end{gathered}$}[/tex]
[tex]\sf{L.c.m.(12,24)=2\times2\times2\times3}[/tex]
[tex]\sf{L.c.m.(12,24)=2^{3}\times3 }[/tex]
[tex]\boxed{\boxed{\sf{L.c.m.(12,24)=24}}}[/tex]
{ Pisces04 }You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answer:
21 is the correct answer because
MATH HELP!! ASAP!!! MARKING BRIAINLIEST!!
Answer:
18 meters.
Step-by-step explanation:
The ratio is 1cm:2m, so for every centimeter, you multiply it by 2 and convert it to meters. So, 9 cm time 2 equals 18 and then add meters, so 18 meters.
(hope this helps :P)
Help me with number 2 plz. Its vertex
Answer:
x=4, x= -1
Step-by-step explanation:
Write your problem:
[tex]x^{2}[/tex] - 4 = 3x
Subtract 3x from both sides:
[tex]x^{2}[/tex] - 4 - 3x = 3x - 3x
Simplify:
[tex]x^{2}[/tex] - 3x - 4 = 0
Sovle with quadtric formula:
.....
NEED HELP ASAP
A quarterback’s pass-completion percentage is 70%. Eight of his passes are randomly selected. What is the probability that 6 of them were successful passes?
0.06
0.08
0.12
0.30
Answer:0.08
The answer is b i always got your back
Step-by-step explanation:
Answer:
.30
Step-by-step explanation:
Write an equation in slope intercept form (y=max+b) for the line passing through the points. Show your algebraic solving steps.
(-2, -1) and (2,3)
Find the gradient first
m = (y2-y1)/(x2-x1) = 3-(-1)/2 - (-2) = 4/4 = 1
then find the equation of the... slope ._.
y - y1 = m(x - x1)
y - (-2) = 1(x - 3)
y + 2 = x - 3
y =x -3 - 2
y = x - 5
So the equation is y = x - 5
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7