The average rate of change of g(x) over the interval [2, 8] is given by
(g (8) - g (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, g (2)) and (8, g (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, g (8) = -0.5(8) + 8 = 4
• 2 < 4, so g (2) = 5(2) + 1 = 11
Then the average rate of change is
(g (8) - g (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
triangle ABC has veritices A(-2,3), B(0,3), and C (-1,-1). Find the coordinates of the image after a reflection over the x-axis.
Answer:
A' = (-2, -3)
B' = (0, -3)
C' = (-1, 1)
I did this on edg
Step-by-step explanation:
Since it's a reflection over the x axis, the x coordinates will stay the same while the y coordinates will be opposite of what they are.
After reflected: A'(-2,-3), B'(0,-3), C'(-1,1)
Please help me thank you
Answer:
90
Step-by-step explanation:
90
PLEASE HELP ME IM TAKING TIMED TEST I WILL MARK YOU AS BRAINLEST!!
Answer:-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
Which of the following most likely causes the rate of a chemical reaction to increase? (5 points)
a
Decreasing the reaction temperature
b
Slowing down the reacting molecules
c
Taking away heat from the reaction
d
Adding heat to the reaction
Answer:
i think adding heat to reaction will change the rate of the reaction
I need help with this
Answer:
D
Step-by-step explanation:
Reilly, Maria, and Tamara figured out that the ratio of the times they spent painting a deck is 3:5:1. They are going to use this ratio to share the $36.90 they earned. How much will Maria get?
Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio
What is the equation in slope-intercept form of a line that is perpendicular
to y = 1/3x +2 and passes through the point (3, 1)?
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
guys help I am stuck on this question I have to send my winter holiday
48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
Answer:
16
Step-by-step explanation:
To find the greatest number of students that could be in each row, we need to find their greatest common factor. We can list out their prime factors first.
48: 2 × 2 × 2 × 2 × 3
64: 2 × 2 × 2 × 2 × 2 × 2
Here, their common prime factors are 2 × 2 × 2 × 2 which is 16. Thus, the greatest number of students that could be in each row is 16.
No. of rows in the girls = 48 ÷ 16
= 3
No. of rows in the boys = 64 ÷ 16
= 4
Answer:
Step-by-step explanation:
I believe for this question you need to find the HCF (or GCF you may say) of 48 and 64
HCF - Highest Common Factor
GCF - Greatest common Factor
First, prime factorize 48 and 64 (write them in the product of their prime numbers)
64 = 2 × 2 × 2 × 2 × 2 × 2
48 = 2 × 2 × 2 × 2 × 3
Choose common prime factors (all of them that are common)
on observation, there is 2 × 2 × 2 × 2 common between both of them
which is 16.
So 16 maximum people in each row
Also additional thing, it's fine if some questions were wrong, try and attempt it yourself first before asking it from someone. Getting used to ask someone is going to be troublesome in the long run. If you get stuck, then get help from your teachers (unless the teacher is unco-operative) in which case, seek help from your friends, or talk to your parents about it if you freely share stuff with them.
But anyway, hope that helps ^
i need help with this one (T_T)
Solve the problem.
A dress regularly sells for $135. The sale price is $93. Find the percent decrease of the sale price from the regular
price.
31.1%
221.4%
45.2%
68.9%
Answer:
32% Decrease
Step-by-step explanation:
93 = x * 135 (divide both sides by 135 to get X alone.)
x=0.68 - Repeated (This tells us that it was paid 68% of the OG price.)
1 - 0.68 = 0.32 (We need to subtract the percent paid from the OG price to find the percent discount.)
The percent decrease was 32% off.
None of your answer choices are right!
00:00
What is the number of terms in this expression?
m
5
+4x6
5
Enter your answer in the box.
Answer:
40
Step-by-step explanation:
The function f(x)= 3x + 25 models the yearly membership cost for a movie rental club, where x is the number of more • Last year, Sarah rented 41 movies. Last year, Tim rented twice the amount of movies as Sarah. How much more did Tim pay last year than Sarah?
Answer:
Tim paid $123 more last year than Sarah.
Step-by-step explanation:
First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer. Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82. Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer. Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.
what is 344.7234 to 1 decimal point
Answer: 344.7
Explanation:
344.7∣234
(Cut ^off point at the line)
The digit to the right of the cut of the point is less than 5. So the digit to its left (the 7) is not changed and all those to the right are changed to 0 gives you:
344.7000
Written as 344.7
Hope this helps and hope you have a wonderful day :)
-4x+3y=-2
y=x-1
x=
y=
Answer:
Easy thankyou for coming to me your answer is x= -1 and y=-2
Step-by-step explanation:
Hope that help.
Answer:
Step-by-step explanation:
here you go mate'
step 1
-4x+3y=-2,y=x-1 equation
step 2
y=x-1;-4x+3y=-2 rewrite the equation
step 3
y=x-1 1st equation
step 4
-4x+3y=-2 saubstitute
-4x+3(x-1)=-2
-x-3=-2
step 5
-x-3=-2 simplify by adding 3 to both sides
-x=1
step 6
-x/-1=1/-1 divide
x=-1
second equation
step 1
y=x-1 substitute
y=-1-1
step 2
y=-1-1 simplify
y=-2
answer
x=-1 and y=-2
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
c2+2c
Answer:
Step-by-step explanation:
c2+2c+4
(c+2)^2
^ is the exponent
At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?
Answer: 8.4375 U.S. dollars2
Step-by-step explanation:
Answer:
$8.44
Step-by-step explanation:
From the question it self we know that 1 pound of chicken costs $3.75. In order to solve this question we just need to find out how much 1 pound does fit into 2.25 pounds and then multiple the result by $3.75. We can find that out by dividing 2.25 by 1, and we get 2.25. Then we do the following....
2.25 x $3.75 = $8.4375
We got $8.4375 as an answer but we have to remember that when we are talking about money and we have to round to the nearest cent (which is equal to 1 hundredth of a dollar). So now we just have to round to the nearest hundredth, and we get $8.44 as our answer.
Please only correct answer
Answer:
second vala hai correct Answer
Answer:
[tex](\sqrt{x})^{2} = \sqrt{x^{2} }[/tex]
One way to find the total cost of a jacket for $55 with a sales tax of 2%
Answer:
cost of jacket 55
sales tax 2/
55/ 2 percent × 100
2,750
The following list gives the number of siblings for each of 8 students. 3, 4, 2, 1, 2, 0, 3, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."
Answer:
3, 2, 0
Step-by-step explanation:
There are three modes, all numbers have at least two appearances.
Please give thanks by clicking the heart! I solved your other problem too :)
85 POINT QUESTION!!! What is the equation of this trend line? Enter your answers by filling in the boxes. K = J + Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable J. The vertical axis is labeled Variable K. Points are plotted at begin ordered pair 2 comma 16 end ordered pair, begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 16 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 5 and 93 hundredths comma 9 and 62 hundredths end ordered pair, begin ordered pair six comma 12 end ordered pair, begin ordered pair 6 comma 16 end ordered pairm beign ordered pair 10 comma 2 end ordered pair, begin ordered pair 10 comma 8 end ordere dpair. A line is drawn through begin ordered pair 2 comma 24 end ordered pair, begin ordered pair 4 comma 20 end ordered pair, begin ordered pair 6 comma 16 end ordered pair, and begin ordered pair 10 comma 8 end ordered pair.
The answer for this question would be K=-2J+28. I hoped I helped!
Answer:
K=-2J+28
Step-by-step explanation:
i took the k 12 test
what is the value of tan(arccos(-sqrt2/2)
Answer:
i think is -1 because the value is -1
Answer:
D. -1
Step-by-step explanation:
ed2021
Rewrite the equation 8r+62 - 7 = 2 in standard form and Identify a, b, and c
Answer:
a = 0
b = 8
c = 53
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define
8r + 62 - 7 = 2
Step 2: Rewrite
Add: 8r + 55 = 2Subtract 2 on both sides: 8r + 53 = 0Step 3: Identify Variables
a = 0
b = 8
c = 53
b) Another brand of sheets is on sale 30% off with a regular price of $18.00 per sheet. Which is a better deal, the previous example or this one? Explain. (2 points)
30% OFF EACH SHEET!
30% OFF EACH SHEET!
Answer:
30= 20 so, that’s 10 dollars of
1o+ 7. 5=17. 5+10=27 .50
Step-by-step explanation:
I took the test hope this helps
Which of the following is equal to 16.4 ?
O A. 32
O B. V16.4
O c.
D. 64
Answer:
b?
Step-by-step explanation:
b= v16.4
The right rectangular prism below has a square base?Select yes or no.
Answer:
no
Step-by-step explanation:
if it's a prism then it wont have a square bottom
A relation that is symmetric with respect to the x-axis CANNOT be a function,
Please select the best answer from the choices provided
O T
O F
Answer:
TRUE!!!
Step-by-step explanation:
What is the determinant of A={-2 2 -5
{4 -1 -2 }
{ 1 3 -5
Answer:
[tex]A' = -51[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex]
Required
Determine the determinant of A (A')
If
[tex]A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
Then,
[tex]A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)[/tex]
So:
The determinant of [tex]A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right][/tex] is
[tex]A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)[/tex]
[tex]A' = -2(5 +6) -2(-20 +2) -5(12 + 1)[/tex]
[tex]A' = -2(11) -2(-18) -5(13)[/tex]
[tex]A' = -22 +36 -65[/tex]
[tex]A' = -51[/tex]
Hence, the determinant is -51
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above. At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone?
Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :
[tex]V = \dfrac{\pi r^2h}{3}[/tex]
Also, h = r/5
r = 5h
[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]
Differentiating above equation w.r.t h, we get :
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]
Hence, this is the required solution.