The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?
Answer:
The average rate of change of the function is: 0
Step-by-step explanation:
The function y = f(x) is graphed below.
From the graph it is clear that:
at x = -8, the value of f(-8) = -10
at x = -1, the value of f(-1) = -10
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
so
at x₁ = -8, f(x₁) = f(-8) = -10
at x₂ = -1, f(x₂) = f(-1) = -10
Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(-1) - f(-8) ] / [-1-(-8)]
= [-10 - (-10)] / [-1+8]
= [-10 + 10] / 7
= 0 / 7
= 0
Therefore, the average rate of change of the function is: 0
Rewrite each equation, then graph
the line
6x + 3y = 12
2/3(x+6)=-8 whats the value of x?
Answer:
x=-18
Step-by-step explanation:
Answer:
The answer is -18
Step-by-step explanation:
STEP 1:
[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]
2(x+6) = -24
______________________________________
STEP 2:
Divide both sides by 2:
[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]
________________________________
STEP 3:
Simplify:
[tex]x + 6 = - 12[/tex]
Subtract 6 from both sides:
[tex]x + 6 - 6 = - 12 - 6[/tex]
________________________________
STEP 4:
[tex]x = - 18[/tex]
Therefore, your answer is -18.
Ask more questions if you don’t understand! :)
The probability that Sara wins a raffle is given by the expression n n + 3 . Write down an expression, in the form of a combined single fraction, for the probability that Sara does not win.
Answer:
n/3
Step-by-step explanation:
n×by n is=n square.
n/3
Probability that Sara does not wins a raffle is [tex]\frac{3}{n+3}[/tex].
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given
Probability that Sara wins a raffle is given by the expression
P(win) = [tex]\frac{n}{n+3}[/tex]
Probability that Sara does not wins a raffle is given by
P(does not win) = 1 - [tex]\frac{n}{n+3}[/tex]
= [tex]\frac{n+3}{n+3} -\frac{n}{n+3}[/tex]
= [tex]\frac{n+3-n}{n+3}[/tex]
= [tex]\frac{3}{n+3}[/tex]
Thus, probability that Sara does not wins a raffle is [tex]\frac{3}{n+3}[/tex].
Find out more information about probability here
https://brainly.com/question/11234923
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James' school is selling tickets to the talent
show. On the first day of ticket sales the school
sold 4 adult tickets and 6 child tickets for a total
of $122. The school took in $94 on the 2nd day by
selling 5 adult tickets and 3 child tickets. What is
the price of one adult ticket and one child ticket?
Answer:
Your answer.
4x + 6y = 122.............(1)
5x + 3y = 94............... (2)
(2)*2-(1),,,,
10x+6y-4x-6y = 66
X = 11
Put x value in eq 1 or 2
Y = 13
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Find the square root of 25x^2-40xy+16y^2
The square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.
Given that,
The quadratic equation is [tex]25x^2-40xy+16y^2[/tex].We need to find out the square root.Based on the above information, the calculation is as follows:
[tex]= 25x^2-40xy+16y^2\\\\= (5x)^2 - (2\times 5x \times 4y) + (4y)^2\\\\= (5x - 4y)^2\\\\= \sqrt{ (5x - 4y)^2}[/tex]
= 5x - 4y
Therefore we can conclude that the square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.
Learn more: brainly.com/question/9664917
Mount Whitney Trail starts at an elevation of 8,350 ft above sea level and ends at an elevation of 14,500 ft above sea level. The temperature changes by -5.4 F for every thousand feet gained in elevation. What is the change in temperature from the starting elevation to the ending elevation of Mount Whitney Trail?
Answer:
I would think -32.4. - Tell me if I am wrong
Step-by-step explanation:
I hope this helps :)
Need help plz I’m confused
Answer:
Vertical Shift
Step-by-step explanation:
The blue line is the original graph. The green one is the new graph. So, the blue graph moves up to where the green graph is. In other words, the line moves up, which is a vertical shift.
pls help me I need to get to a 100 and I will mark you. ❤️
Answer:
It was greater from 2015 to 2016.
Step-by-step explanation:
From 2015 to 2016 it was a 30 person difference
From 2014 to 2017 there was a 5 person difference
please answer, no need for explanation:)
Please help me with this problems if you want to answer 1 that’s ok I just need help k don’t really understand.
Answer:
Step-by-step explanation:
1. 120
2saves 52 dollars
3 at normal price its 108 per tire but on sale it will be 95 per tire
Answer:
2) 120 customers per day
3) $13 per tire
Step-by-step explanation:
2) 3600÷30=120 customers per day
3) 216÷2=108
380÷4=95
108-95=$13 per tire
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answer:
(-14)+(-8)
Step-by-step explanation:
3)
Solve the inequality for x.
- 4x + 16 > -64
A)
X> 12
B)
X > 20
x < 12
D
x < 20
Answer:
D: x < 20
Step-by-step explanation:
-4x + 16 > -64
subtract 16 from both sides because you must isolate x.
-4x + 16 - 16 > -64 - 16
-4x > -80
Then divide -4 on both sides... I believe that when you divide a number by a negative number you must flip the sign...
-4x/ -4 < -80/ -4
x < 20
(negative divided by a negative will result in a POSITIVE.)
Hope this helped... I truly apologize if this is wrong..
If the velocity of a car is 45 km/h west, how far can it travel in 0.5 hours?
PLEASE SHOW WORK!
Answer:90 km
Step-by-step explanation:
Answer:
22.5 km
Step-by-step explanation:
distance = speed x time
x = (45 x 0.5) km
x = 22.5
What is the definition of the term CONSTANT? *
Answer:
It's an adjective. means regularly occurring, persustent; or, unchanging, in value, nature, or respect.
Write and solve an addition equation to find x.
Perimeter = 48 ft
Answer:
mwjdjjdjdvdiwu smksmskkwow ekieliwwliwlwiowmd smksmskkwow a msksksisia
Step-by-step explanation:
mxjdmw! ok iehdukdikekdk akismsksksialoalqoq
Write a recursive formula for the sequence: −3, 34, −316, 364, −3256
Answer:
-7
Step-by-step explanation:
Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
Answer:
The percent increase is 30%
Step-by-step explanation:
First find the difference
6.50 - 5.00 = 1.50
Divide by the original cost
1.50 / 5.00
.3
Change to percent
.3 = 30%
The percent increase is 30%
Answer:
30%
Step-by-step explanation:
5.0*30%=1.50
5.0+1.50=6.50
A solution containing 94.4 mL of carbon tetrachloride, CCl4, dissolved in 250.0 mL of nitrobenzene, C6H5NO2, was placed in the freezer, which dropped the temperature to 0°C. Did the solution freeze at that temperature? If so, at what temperature? The density of CCl4 is 1.59g/cm3. The density of C6H5NO2 is 1.2 g/cm3.
Answer:
No, it would freeze at -16.61°C.
Step-by-step explanation:
Anthony is buying a new TV that is 25% off. The original price of the TV was $390.
Which answer gives the best estimate for the TV's price after the discount?
$390
$365
$300
$100
Answer:
390 well actually 389.75 but still
What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism? LOTS OF POINTS
Answer: 96in²
Step-by-step explanation:
A cube is the most efficient rectangular prism in terms of surface area.
A rectangular prism where l = 4in w = 4in h = 4in has a volume of 64in³
This rectangular prism has a surface area of 96in²
Answer:
96
Step-by-step explanation:
PLIS HELPPP I DON'T UNDERSTAND THIS
Answer:
Step-by-step explanation:
7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19
Answer:
The ratio is 7 to 19 or 7:19
Step-by-step explanation:
Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)
The dance committee of Pine Bluff Middle School earns $ 72 $72dollar sign, 72 from a bake sale and will earn $ 4 $4dollar sign, 4 for each ticket they sell to the Spring Fling dance. The dance will cost $ 400 $400dollar
Answer: See explanation
Step-by-step explanation:
Since the number of tickets is represented by t and we're told that the committee earns $4 per ticket and also earned $72 from bake sale, then the inequality will be given as:
= 72+4t>400
The solution if the inequality will then be:
72 + 4t > 400
4t > 400 - 72
4t > 328
t > 328/4
t > 82
Answer:
72+4t>400
t > 82
Step-by-step explanation:
top one is for the inequality
bottom is the solution
write the equation for the line that has m = 4 and b = 8
A rental car company charges $35 a day plus $0.15/mi for a mid-size car. A customer owes
$117.15 for a three-day rental. How many miles did the customer drive?
Answer:
81 Miles
Step-by-step explanation:
117.15-(35*3)=12.15
12.15/.15=81
3. Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.
You will need to use the expressions for the angles given below.
A) 2(x + 15) B) 3x+10 C) 5x
(a) Identify the angle relationship and setup your equation with the given expressions.
(b) What is the value of x? Show your work.
(c) What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.
Answer:
I only know B and C
Step-by-step explanation:
Part B)
2 (x+15) + 3x + 10+ 5x = 180 2x + 30 + 3x + 10 +5x = 180 10 +40 = 180
- 40 -40 10x divided by 10 = 140 divided by 10 x= 14
Part C)
A = 2 (x + 15) = 2 (14 + 15) = 2 * 29 = 58 degrees
< B = 3 x + 10 = 3 * 14 + 10 = 52 degrees
< C = 5 x = 5 * 14 = 70 degrees
Help please ASAP thank you
Answer:
150 by 18 or 20
Step-by-step explanation:
HELLp NOWWEEE I really need it plsss
Answer: diameter is 5.2 radius is 2.6
Step-by-step explanation:
This is a practice delta math but i need help.
Answer:
it is the one that goes [tex]a_{n} =10(-2)^{n}[/tex]
Step-by-step explanation:
10 is the starting term a(sub 1). 2 is r or the common ratio and n is the term number you want to find. I hope this helps!
Solve using the order of operations. (9+9+72)-4+9
PLZ ANSWER PLZ HURRY
Answer:
95
Step-by-step explanation:
The order of operations is PEMDAS
Equations in PARENTHESES come first
Numbers with EXPONENTS come second
MULTIPLICATION/DIVISION problems come next (depending on which comes first in the equation
ADDITION/SUBTRACTION comes last (again, depending on which comes first in the equation)
So we do (9+9+72) first
So that equals 90
And then we subtract 4 from 90
90 - 4 = 86
Then we add 9 to 86
86 + 9 = 95
Answer: 72 is the answer
