The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -3 ≤ x ≤ 6
Answers
Answer:
Average ROC = 0
Step-by-step explanation:
Average ROC : (f(b) - f(a)) / (b - a) ... slope = (y'-y) / (x'-x)
a = -3 f(a) = 10 ... x=-3, y=10
b = 6 f(b) = 10 ... x'=6, y'=10
Average ROC = (10 - 10) / (6 - -3) = 0 / 9 = 0
Related Questions
In a high school stadium there are 1575 seats. There are two and a half times as many seats in the home section as there are in the visitor section. Which system of equations could be used to determine the number of seats in the home section, h, and the number of seats in the visitor section, v, in the stadium?
Answers
Answer:
h = 1,125
v = 450
Step-by-step explanation:
Total number of seats = 1575
h = number of seats in the home section
v = number of seats in the visitor section
There are two and a half times as many seats in the home section as there are in the visitor section.
h = 2 1/2 * v
h = 2 1/2v
Total = h + v
1575 = 2 1/2v + v
1575 = 3 1/2v
1575 = 7/2v
v = 1575 ÷ 7/2
= 1575 × 2/7
= (1575*2) / 7
= 3150 / 7
= 450
v = 450
h = 2 1/2v
= 5/2*450
= 2250/2
= 1,125
h = 1,125
plz help
use The information provided to answer the following questions
Answers
By evaluating the derivative with respect to t of the height function h(t),
which is h’(t)=-2t+4,
we can find the turning point of the quadratic graph by solving h’(t)=0.
-2t+4=0
t=2
Therefore, we can know that when t=2, Sally’s potato attains its maximum height, which is
-(2^2)+4(2)+5
=9
Given that Sam’s potato has been 10 unit high, Sam’s potato went higher than Sally’s did.
=======================
Part B
Note that the for all t where h(t)>0, the potato is still in the air.
So all we need to do is to solve h(t)>0.
-t^2 + 4t + 5 > 0
t^2 - 4t - 5 < 0
(t + 1)(t - 5) < 0
Therefore we get -1 < t < 5.
But t represents time so it can’t be negative.
So the overall solution is 0 < t < 5.
Therefore the total flying time of Sally’s potato is 5 units.
Because the flying time of Sam’s potato is 3.5 units,
Sally’s potato stayed in the air longer.
Simplify the expression:
17 – (-5x + 2)
Answers
Answer:
5x + 15
Step-by-step explanation:
Let's simplify step-by-step.
17−(−5x+2)
Distribute the Negative Sign:
=17+−1(−5x+2)
=17+−1(−5x)+(−1)(2)
=17+5x+−2
Combine Like Terms:
=17+5x+−2
=(5x)+(17+−2)
=5x+15
Answer:
=5x+15
Answer:
-3
Step-by-step explanation
You would first used distribuve property in the parenthisis.
Because there is a minus sign outside of the parenthisis, it would become (5x-2)
Combine like terms
15+5x=0
Subtract 15 from both sides
5x=-15
Divide 5 to get x
5x(/5)= -15(/5)
x=-3
4. If y varies directly as x and y = 72 when x = 6 find y when x = 4.
Answers
PLS HELPP I NEED TO KNOW
Answers
I’m pretty sure atleast
BRAINLIST!!
Which of these situations have solutions that can be represented by this number line diagram?
Riley needs more than 65 students to sign up for a summer camp. So far, she has 30 students signed up. How many more students need to sign up for the camp?
Bailey is selling gift baskets at a fair. She has less than 80 gift baskets at home already made, and so far she has sold 45 at the fair. How many more gift baskets can she sell before she has to make more?
The number of people at Michelle's party increased by 35. How many people are at Michelle's party?
Mr. Winters reads more than 35 pages in his book every day. How many pages does Mr. Winters read on a given day?
Ms. Carol can have up to 35 students in her class. How many students could be in Ms. Carol's class?
Answers
Answer:
Mr. Winters reads more than 35 pages. More than 35 would imply 35+
Answer:
Riley needs more than 65 students to sign up for a summer camp. So far, she has 30 students signed up. How many more students need to sign up for the camp?
Step-by-step explanation:
Just got it right on my test!!
Carson drew a line perpendicular to the x-axis through (7,-3). What is its equation and its slope?
Answers
Answer:
equation is x = 7
slope is undefined
Step-by-step explanation:
Answer:
perpendicular to the x-axis means a vertical line. So, all of its points have x-coordinate of 7
The slope of vertical lines is undefined.
Step-by-step explanation:
Cost price = £40
Selling price = £48
Calculate the percentage profit
Answers
Mr Nicolo goes on a diet. At the start of the diet he weighs 89.2 kg. He wants to weigh 72.5 kg.
After one month he has lost 4.6 kg. How much more does he have to lose?
Answers
Answer: 80.6 kg
Step-by-step explanation:
PLEASE HELP IM ACTUALLY BEGGING U!!
Answers
Answer:
2 to 8
For every two dogs there are eight small dogs
or
for every large dog there is four small dogs (this is just simplified)
Given AD=8, AC=12, BC=15. Find the value of x that would make AADE-AACB
E
B
Answers
Answer:
DE = 10
Please put the Brainlest
Can y’all help with this math question? Plz
Answers
help fast please!!!!
Answers
Answer:
OK this is easy the answer is r=2.4
Step-by-step explanation:
so what you would do is simply add 3.1 and 1.7to get 4.8
then you would divide 4.8 by 2 and get r=2.4
if the length of the longest side of the rectangle is 20cm find the shaded area to the nearest hundredth PLEASE HELPP !
Answers
Answer:
150pi
Step-by-step explanation:
lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi
Please tell me if I'm wrong D:
Solve for p in 2.5+3(5 – 2.1p) = -13.37
Answers
Answer: p = 4.9
Step-by-step explanation:
2,5 + 3(5-2.1p) = -13,37
2,5 + 3(5-2.1p) - 2,5 = -13,37 - 2,5
3(5-2.1p) = -15,87
3(5-2.1p) / 3= -15,87 /3
5-2.1p = -5.9
5+5.29 = 2.1p
(5+5.29 ) /2.1 = 2.1p /2.1
4.9 = p
Please answer this.....its very simple question....
A weighing scale with two objects x and y is shown below:
100 g
500 g
Which of the following relations about the weights of x and y is true?
A. x is 400 g heavier than y.
C. y is 5 times as heavy as x
B. x is 400 g lighter than y.
D. x and y weigh the same.
Answers
The answer is B. x is 400 g lighter than y.
Answer:
B. x is 400 g lighter than y.
Help plzz and It's continue of math
Homework: Compound Probability (Without Replacement)
2.) There are three nickels, four dimes, and four quarters in your pocket. You randomly pick three coins and place them on a counter. The first coin is a nickel, the second is a dime, and the third is a quarter.
3/110, 8/165, 1/64, 10/273
3.) A box of chocolates contains four milk chocolates and six dark chocolates. You randomly pick a chocolate and eat it. Then you randomly pick another piece. The first piece is milk chocolate and the second piece is dark chocolate.
4/15, 5/18, 5/22, 3/110
Answers
Answer:
For number 2: 8/165
Step-by-step explanation:
The total number of coins = 11 ( 3 + 4 + 4 = 11).
The probability of picking a nickel first = 3/11 ( 4 nickels out of 11 total).
The probability of picking a dime second = 4/10 = 2/5 ( 3 dimes out of 10 coins left).
The probability of picking the third coin as a quarter = 4/9 ( 3 quarters out of 9 coins left).
I don't know the other problem, sorry.
Answer:
2) 8/165
3) 4/15
Step-by-step explanation:
2) P(N,D,Q) = 3/11 x 4/10 x 4/9
3) P(M,D) = 4/10 x 6/9
Henry picked 278 pears. He is putting the pears in a boxes that each hold 50 pears how many boxes will be able to fill completely
Answers
Answer:
278 divided by 50 is about 5 and a half so 5 would be your answer because he is completely filling 5 boxes.
Pleasee helpp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 67º
Step-by-step explanation:
the sum of two angles on the same side = 180º so
x + 113º = 180º subtract 113º from both sides
x = 67º
4 (4b + 3) + 2b = 3 (b - 11)
Answers
Step-by-step explanation:
4 (4b + 3) + 2b = 3 (b - 11)
16b+12+2b=3b-11
16b+2b-3b=-11-12
15b=-23
b=-23/15
Answer:
Step-by-step explanation:
B= -3
Do 4(4b + 3) first than the answer I get from that equation you
16b + 12 2b= 3(b-11)
Combine like terms
3
Distribute
4
Subtract
1
2
12
12
from both sides of the equation
5
Simplify
6
Subtract
3
3
b
3b
from both sides of the equation
7
Simplify
8
Divide both sides of the equation by the same term
Find the measure of the indicated angle to the nearest degree
A) 18°
C) 48°
B) 42°
D) 26°
Answers
Answer:
The answer is option C
Step-by-step explanation:
To find the indicated angle we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 37
The hypotenuse is 41
So we have
sin ? = 37/41
? = sin-¹ 37/41
? = 64.4805
? = 64° to the nearest degree
If CBA is similar to EDA , find the value of x.
Answers
Answer:
1.2
Step-by-step explanation:
The value of 'x' is 1.2 if CBA is similar triangle EDA.
What is similar triangle?Triangles are said to be similar triangle" if they are proportional equality corresponding sides and equal pair of corresponding angles".
According to the question,
∠C =∠E, ∠B=∠D and ∠A=∠A this implies given triangle is inscribed similar right angle triangle.
ΔCBA ≅ ΔEDA [Similar triangle]
Properties of similar triangle: [tex]\frac{CB}{ED} = \frac{BA}{DA}[/tex]
[tex]\frac{6}{7}=\frac{7}{7+x}[/tex]
[tex]6(7+x)=49[/tex]
[tex]42+6x=49[/tex]
[tex]6x=49-42[/tex]
[tex]x= \frac{7}{6}[/tex] [tex]= 1.16666667[/tex] ≈ 1.2
Hence, the value of 'x' is 1.2 if CBA is similar triangle to EDA.
Learn more about similar triangle here
https://brainly.com/question/27609371
#SPJ2
please help me!! asap!! thank youuuu!
Answers
Answer:
D
Step-by-step explanation:
4/4 = 1
Explanation: 4/4=1
A rocket is traveling 4,000 miles per hour. How much time in hours will it take the rocket to travel a distance of 84,000 miles?
Answers
Answer:
21 hours
Step-by-step explanation:
84,000 = 4,000x, x = hours
84,000 ÷ 4,000 = x
x = 21
good luck, i hope this helps :)
Answer:
84000/4000=21 hours
Step-by-step explanation:
Solve the inequality and graph the solution.
4x - 5 ≥ 7
Answers
Answer:
x=3
Step-by-step explanation:
it would go over the point 3,7 on the graph with a positive slope
The given inequality is solved to obtain as x ≥ 3.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality can be solved as follows,
4x - 5 ≥ 7
Subtract 7 from both sides to obtain,
4x - 5 - 7 ≥ 0
=> 4x - 12 ≥ 0
=> 4x ≥ 12
=> x ≥ 3
The graph for the given inequality is shown as below,
Hence, the solution for the given inequality is x ≥ 3.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ5
Find the measure of
Answers
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
Help please pleaseeee
Answers
Answer:
sowkdiwdjs
help me
Step-by-step explanation:
please lol
In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4), F(0,7), G(1,0)
Answers
Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
Given
Parallelogram: DEFG
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
HELP ME PLZZ
what is the slope of this line?
Answers
Answer:
4/5
Step-by-step explanation:
Maggie has $15.00 and will begin earning an allowance of $10.00 per week. Jess has $5.00 and will begin earning an allowance of $15.00
per week.
When will maggie and jess have the same amount of money and how much money will they have?
PLEASE HELP
Answers
maggie originally had $15.00 so her $10.00 allowance times two weeks allowance equals $35
jess originally had $5.00 so his $15.00 allowance times 2 weeks equals 35