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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Help? I am confuse don how to find the area. I watched a ton of videos, but I don’t get it
Answer:
Step-by-step explanation:
The most basic area formula is the formula for the area of a rectangle. Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width.
soo........
u would do 10*10*10*10
and
8*8*8*8
then u add up and get ur answer
Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.
Answer:
(-2,6) (-7,4)
Step-by-step explanation:
Thats wat u got on ur gragh so just go wit that XD
Graph the inequality and check the solution.
Gia has more than 50 cents.
g > 0.50
A number line going from negative 2 to positive 2.
Check all that apply.
Draw a closed circle at 0.50.
Draw an open circle at 0.50.
Shade all numbers to the right of 0.50.
Shade all numbers to the left of 0.50.
1 is shaded, so substitute 1 in for the variable to check the graph of the solution.
–1 is shaded, so substitute –1 in for the variable to check the graph of the solution.
Answer:
B,C,E
Step-by-step explanation:
I got it right on edugenity
The solution to the inequality g > 0.50 is all numbers to the right of 0.50, excluding 0.50 itself.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
We are given that;
Function g > 0.50
Now,
To graph the inequality g > 0.50, we start by drawing a number line from negative 2 to positive 2.
Next, we need to indicate the solution region on the number line. The inequality g > 0.50 means that g is greater than 0.50 but not equal to 0.50. So, we draw an open circle at 0.50 to indicate that it is not included in the solution region. Then, we shade all numbers to the right of 0.50, since they are greater than 0.50.
To check the solution, we can substitute any number greater than 0.50 into the inequality and check that it is true. For example, if we substitute 1 into the inequality, we get:
1 > 0.50
This is true, so 1 is in the solution region.
If we substitute -1 into the inequality, we get:
-1 > 0.50
This is false, so -1 is not in the solution region.
Therefore, the answer of the given inequality will be all numbers to the right of 0.50, excluding 0.50 itself.
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Y= 2x - 5
5x – 4y = -10
x = 30 means that the equation has
infintely many solutions
no solution
one solution
Answer:
One solution
Step-by-step explanation:
1. A restaurant bill, b, is $21. You leave a 15% tip. How much do you pay including the tip?
O $3.15
O $21.15
O $24.15
O $39.00
Answer:
The answer is $24.15 dollars. (Including Tip)
Step-by-step explanation:
First you find out what 15% of 21 is.
21 * 15% = 3.15
Next we add.
21 + 3.15 = 24.15
So, the answer is 24.15
Hope this helps! :)
PLS HELP WITH 3 THROUGH 8!!!!! Plzzz helpppppp I'll give you brainliestttttttttttttt
Answer:
3=%20
4=%14.17
5=%48.8
6=%165
7=%75
8=%15
A submarine is descending to examine the seafloor 6200 feet below the surface it takes the submarine four hours to make this decent what was the submarines change in deaths per hour
Answer:
1,550 feet per hour
Step-by-step explanation:
To find this answer, you divide 6,200 by 4, to get the unit rate of decent per hour. I hope this helps :)
Rearrange the following formula to make c the subject.
a= b/c + 5
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cachemirisufyan
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2a + 2c = 5a - 5b
recopilar términos ligeros.
toma 2a en el otro lado
2c = 5a -2a-5b
2c = 3a - 5b
divide 2c's 2 en ambos lados
y
c = (3a - 5b) / 2
dar un más inteligente por favor. tnx que tengas un buen día.
PLZ HELP THANK YOUUUUUU
Answer:
The answer is 2
Step-by-step explanation:
can u pls help me with this question asap
Answer:
C
Step-by-step explanation:
Since "P" is -4, add POSITIVE 6.5 to it. It makes 2.5
hope it helps :D
f(x) = 4x + 5
Need help have to show all steps
Answer:
17
Step-by-step explanation:
plug in 3 for x
f(3)=4(3)+5
4 times 3 is 12
f(3)=12+5
f(3)=17
john picks numbers at random. 10 5 5 3 7 9. what is the probability he picked an even number?
Answer:
1/6 probability
Step-by-step explanation:
He only got one even number out of 6 attempts, so its a one in six 1/6.
The height of a cell phone tower is 200 ft tall. The tower is secured by 3 wires, stretching from the top of the tower to spots on the ground 50 ft away from the base of the tower. Each wire creates a right triangle with the tower and the ground. What is the length of each wire to the nearest foot
12ft
150ft
150ft
250ft
Answer:
The correct answer is 250 ft
Step-by-step explanation:
I answered this question earlier so the explanation is on my pfp.
Find the measures.......
Help me plis :)
Answer:
11 is 70
12 is 80
13 is 150
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
x = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex]
[tex]x^{2}[/tex] = 7² + 2²
[tex]x^{2}[/tex] = 49 + 4
[tex]x^{2}[/tex] = 53
[tex]x[/tex] = [tex]\sqrt{53}[/tex]
The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Please explain ur answer and I will mark brainliest!
Answer:
The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Please explain ur answer and I will mark brainliest!
Step-by-step explanation:
and (-4, 13). What
The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Please explain ur answer and I will mark brainliest!The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Please explain ur answer and I will mark brainliest!
The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?
А. 25 and 25
B. 45 and 5
C. 15 and 35
D. 40 and 10
E. 20 and 30
Can someone pls help me
Answer:
Sorry that I cant help.
But have a good rest of your dayFollow if you liked this.
Guys I need your HELP ASAPP!!!!!
Answer:
HOPE THAT WAS TRUE
Step-by-step explanation:
[tex] - 3 + \sqrt{m + 59} = m \\ \sqrt{m + 59} = m + 3 \\ {(m + 59)}^{ \frac{1}{2} } = m + 3 \\ \frac{1}{2} log(m + 59) = log(m + 3) \\ 0.5 log(m) + 0.5 log(59) = log(m)+log(3) \\ 0.5 log(m) = 0.5 log(59) - log(3) \\ [/tex]
[tex]0.5 log(m) = 0.885 - 0.477 \\ 0.5 log(m) = 0.408 \\ log(m) = 0.816[/tex]
[tex]m = {10}^{0.816} = 6.556[/tex]
can someone please help
Hope you have a good day, Loves!
Also if I'm right can you let me know please?
Answer:
A cause I said so.
Delia drove 290 miles in 5 hours. At this rate, how far will she drive in 7.5 hours?
Answer:
464
Step-by-step explanation:
Jennifer buys 4.25 pounds of gummy worms for $2.96 per pound and 0.5 pounds of jaw
breakers for $4.95 per pound. Jennifer gives the clerk $20.00. If there is no sales tax on these
items, how much change should she receive?
In money form!
Answer:
$4.94
Step-by-step explanation:
Gummy worms cost $2.96 per lb, and she bought 4.25 lbs, so:
2.96 * 4.25 = $12.58 spent in gummy worms
Jaw breakers cost $4.95 per lb, and she bought 0.5 lbs, so:
4.95 * 0.5 = $2.48 spent in jaw breakers
Adding the gummy worms and the jaw breakers, she spent:
12.58 + 2.48 = 15.06 in Total
She gave the clerk $20.00, but she only spent only $15.06, so the clerk gave her back the difference:
20 - 15.06 = $4.94 is the change that she received
What term describes the number 6 in the expression
Answer:
coefficient
Step-by-step explanation:
why it is the coefficient is because the variable is y , the exponent is 3, the base is y so that leave coefficient to the number 6
PLEASE HELP WILL MARK BRAINLIEST FOR CORRECT ANSWETS HELP HELP HELP
Answer:
1) (3,5) is the new point
2) P(-1,-4) U(-5,0) N (-2,1)
Step-by-step explanation:
hope this helps. good luck
a survey asked 35 randomly chosen employees whether they bring lunch or buy it in the cafeteria. Of the 35 surveyed, 20 bring lunch. There are a total of 175 employees at the company. What is the best estimate of the total number of employees who bring lunch?
Answer:
The estimate is 100 employees.
Step-by-step explanation:
20/35=x/175
35x=3500
x=100
Help please!!! It’s for Geometry
Answer:
-5
Step-by-step explanation:
because it is on the - side because there is a post side and a - side
A school club sold 300 shirts. 31% were sold to fifth-graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group -- fifth graders, sixth graders, and teachers? Explain or show your reasoning.
Answer:
Fifth graders= 93 shirts
Sixth graders= 156 shirts
Teachers= 51 shirts
Step-by-step explanation:
31% of 300 is 93
52% of 300 is 156
The total number of shirts sold to fifth graders and sixth graders is:
156+93= 249
The number of shirts sold to teachers is:
300-249= 51
If the spinner is spun 150 times, it should land on yellow about times, on red about times, and on blue times.
Answer:
50 times on each assuming the sections are equal.
Step-by-step explanation:
Melea gallops her horse 0.5 miles in 1.25 minutes. How fast is the horse galloping?
Melea gallops her horse 0.5 miles in 1.25 minutes, then the speed of the horse will be equal to 0.4 miles/minute.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given data in the question,
Distance (d) traveled by the horse = 0.5 miles
Time (t) taken by the horse to cover the distance = 1.25 minutes
Then, the speed of the horse will be,
[tex]Speed=\frac{Distance}{Time}[/tex]
s = 0.5/1.25
s = 0.4 miles/minute.
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