Answers
The average rate of change over the interval [-9, -3] is
[tex]\dfrac{f(-3) - f(-9)}{-3 - (-9)}[/tex]
That is, it's the ratio between the change in the function value over the length of the interval. Judging by the plot, we have f (-9) = 6 and f (-3) = -3. So the average rate of change is
[tex]\dfrac{f(-3) - f(-9)}{-3 - (-9)} = \dfrac{-3 - 6}{-3 + 9} = -\dfrac96 = \boxed{-\dfrac32}[/tex]
Related Questions
1 less than twice the sum of a number and 3
Answers
Answer:
2(x + 3) - 1
Step-by-step explanation:
Let [tex]x[/tex] represent the unknown number.
From the information given, we can form the equation
[tex]2(x+3)-1[/tex]
Breakdown:
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
suppose there is an 80 percent rain each day. on day that it rains ,kathy has a 45 percent chance of being late, compared to a 30 percent chance when it does not rain.On a random day, what is the probability that kathy will be late?ce of being late, compares
Answers
Answer:
.8 * .45 = .36 = 36%
.2 * .3 = .06 = 6%
is is late 42% of the time
Step-by-step explanation:
plese help me fast I will mark you brainlist
Answers
[tex]\\ \sf\longmapsto 5x+5+4x-5=180[/tex]
[tex]\\ \sf\longmapsto 5x+4x+5-5=180[/tex]
[tex]\\ \sf\longmapsto 9x=180[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{180}{9}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
y=x=20z=5x+5=5(20)+5=100+5=105Step-by-step explanation:
hope this helps u ✌️✌️
Make mister as brainliest
which of the following pairs of functions are inverses of each. a) f(x)=18/x and g(x)=18/x+9
Answers
Answer:
f(x)= x/3+4 and g(x) = 3x - 4
Step-by-step explanation:
help me please. i've tried this so many times, writing it out, calculator. nothing's worked
Answers
Answer:
-27
Step-by-step explanation:
y7 + 4x
(-1)7 + 4(-5)
-7 + (-20)
-27
171. Solve the formula
Answers
the picture quality is low
Step-by-step explanation:
therefore I can't give answer of your question
PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answers
Answer:
7 1/12
Step-by-step explanation:
i just know
Answer:
its -4 1/3
Step-by-step explanation:
-56-(-95) plss help plsssssssssssssssssssssssssssssssssssssssssss
Answers
-56 - (-95) = -56 + 95 =
= 95 + (-56) = 95 - 56 =
= 39name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answers
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
Mary says that 43 is a 2-digit odd number that is composite. Is she correct?
Answers
Select the pie chart that accurately represents Sabrina's variable expenses for the month of June.
Sabrina compiled a list of her variable expenses for the month of June to analyze her spending habits.
June
$327.32
Expense
groceries
fuel and transportation
costs
$103.15
$26.15
clothing
dining out
$122.56
entertainment
$78.16
Answers
Answer:
BOTTOM RIGHT CHART, JUST TOOK THE TEST
Step-by-step explanation:
PLATO
HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Solve 4x − 2(x + 1) = 3x + 10
a)x = −12
b)x = 12
c)x = −8
d)x = 8
Answers
Answer:
= −12
Step-by-step explanation:
Answer:a)-12
Step-by-step explanation:
4x-2(x+1)=3x+10
4x-2x-2=3x+10
2x-2=3x+10
Collect like terms
-2-10=3x-2x
-12=x(a)
What is the smallest fraction a learner must know in grade 3
Answers
Step-by-step explanation:
Fractions are numbers and can be shown on a number line:
Fractions represent equal parts of a whole object or shape:
Whole numbers can be expressed as fractions: For example: 4 = 4⁄1 and 1 = 4⁄4
jenny can run 4 5/6 miles in 2/3 of an hour how many miles can she run in one hour
Answers
Answer:
29/4 miles
or if simplified, 7 1/4 or 7.25
what number is less than -12
answer choices:
F: -14
H: -3
G: -11
J: 4
some pls help meee
Answers
Hey there! Your answer is:
F.) -14
Here's why:
The higher a number goes when it's negative the smaller the number is. The higher a number goes when it's not a negative number the bigger it is.
I hope this answer helped you out! Have a great day/night :)
Which of these numbers is the greatest
A. 3,213,213
B. 7.8 x 10^5
C. 6.3 x 10^6
D. 11,014,114
Answers
Answer:
D
Step-by-step explanation:
A= 3,213,213
B= 780,000
C= 6,300,000
D= 11,014,114
Write -3 2/5 as a decimal number
Answers
Answer: -3.4
Step-by-step explanation:
[tex]-3\frac{2}{5} \\-\frac{3*5+2}{5} \\-\frac{15+2}{5} \\-\frac{17}{5} \\= -3.4[/tex]
which property is illustrated by the following ?
if r = -12, then r - 16 = -28
Answers
You can add or subtract the same value from both sides of the equation and still maintain the equality.
Help plz this is due late so plz help me
Answers
Answer:
1st option
Step-by-step explanation:
Each exponent inside the bracket is multiplied by the exponent outside , that is
[tex](\frac{2^{5} }{3^{2} )} ^{4}[/tex]
= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
= [tex]\frac{2^{20} }{3^{8} }[/tex]
How many zeros are in the product of any nonzero whole number
Answers
Answer:
2 zeros for odd numbers less than 10
3 zeros for even numbers less than 10
Step-by-step explanation:
Non-zero whole numbers less than 10 are;
1, 2, 3,4, 5, 6, 7, 8, and 9
The odd numbers include:
3, 5, 7, and 9
The product of 500 and any of these numbers will contain 2 zeros, the ones in the number 500.
On the other hand, the even numbers include;
2, 4, 6, and 8
The product of 500 and any of these numbers will contain 3 zeros of which 2 are the ones in the number 500 and 1 zero is as a result of multiplying 5 by an even number.
How much money must you set aside at age 40 to accumulate retirement funds of $100,000 at age 65, assuming a rate of interest of 7 percent?
Answers
Answer:
$18,424.92
Step-by-step explanation:
Assuming this is compound interest, we'll have to use this formula
A = P(1 + r)ⁿ
A = Final amount (100,000)
P = Starting amount (?)
r = Rate (.07)
n = Years (?)
65 - 40 = 25
This means you will save for 25 years, making n = 25
So far, our equation looks like this: 100,000 = P(1.07)²⁵
To isolate the variable, P, divide both sides by 1.07²⁵
100,000/1.07²⁵ = P(1.07)²⁵/1.07²⁵
P = 18,424.917752223962
You would need to set aside around $18,424.92 if you want to accumulate $100,000 in 25 years with 7% compound interest rate.
Complete the number sentence:
7 2/5 + ___ = 8
Answers
Answer:
3/5Step-by-step explanation:
7 2/5 + ___ = 8
(As on left side there is 7 2/5 on right side it will be -7 2/5)
=> ____ = 8 - 7 2/5
(Converting - 7 2/5 to improper fraction that is -37/5)
=> ____ = 8 - 37/5
=> ____ = (40 - 37)/5
=> ____ = 3/5
Hence,
3/5 is the answer
find f(-3)
f( x) = 2x^2-3x+4
Answers
Answer:
f(-3)= 2 (-3)² - 3(-3) +4 = 2(9) +9+4=18+9+4= 31
I hope I helped you^_^
5 less than 3 times a number is 7. How would I write this as an equation
Answers
“5 less than” means you’ll subtract 5 from something.
That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.
So, “5 less than 3 times a number” means “subtract 5 from 3x”: 3x-5
“Is” means “equals”. So 3x-5= something.
7, well, that’s 7.
So “5 less than 3 times a number is 7” means ”subtract 5 from 3x and set that equal to 7.”
3x-5=7
Answer:
The equation would be 5-3x=7
Step-by-step explanation:
5 less than indicates subtraction, and 3 times a number indicates both values being multiplied with each other, so it's 3x. Hope that helped.
11. Convert the measurement.
330,000 CL =
_ dal
33,000 dal
33 dal
330 daL
3,300 dal
Answers
Answer:
33 ooo dal answer sir beucase I think so
Step-by-step explanation:
Answer:
330 dal. 330,000/1,000 = 330. hope this helps
Step-by-step explanation:
- Zombie
Jim is running a race against his best friend Ryan. Jim runs at a rate of 18 miles in 3 hours
Answers
Answer:
Speed of Jim=18miles/3hours=6miles/hour
IF 4 bottles of juice cost $7, how much would 9 bottles cost
I am giving 40 points!
Help please!
Answers
Answer:
I'm pretty sure it would be $13.50
Answer:
$15.75
Step-by-step explanation:
7 divded by 4 = 1.75
Simply take 1.75 and multply it by 9, giving you 15.75
$15.75
I'LL GIVE A BRAINLIEST
Write the equation of the line that is parallel to x – 3y = 9 and passes
through the point (3, -1).
Answers
Step-by-step explanation:
the equation of the line that is parallel to
x – 3y = 9
=> the slope = -1/-3 = ⅓
passes through the point (3, -1) =>
y -(-1) = ⅓(x -3)
y+1= ⅓x - 1
y = ⅓x -1-1
y = ⅓x - 2
or
x -3y = 6
52(7)^1/5
Need help solving this problem. I don’t have Ti-84 Calculator yet
Answers
Answer:
[tex]52 \sqrt[5]{7} [/tex]
Step-by-step explanation:
[tex]52(7 {)}^{ \frac{1}{5} } [/tex]
[tex] = 52 \sqrt[5]{7} [/tex]
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,4) and (-9,6).
Answers
Answer:
(x + 3)² + (y - 5)² = 37Step-by-step explanation:
The center is the midpoint of the diameter, the coordinates are:
x(M) = (3 - 9)/2 = -3y(M) = (4 + 6)/2 = 5The length of the diameter:
[tex]d = \sqrt{(-9-3)^2+(6-4)^2} = \sqrt{12^2+2^2} = \sqrt{148} = 2\sqrt{37}[/tex]The radius is:
r = d/2 = [tex]2\sqrt{37} /2 = \sqrt{37}[/tex]The standard form is:
(x - h)² + (y - k)² = r², where (h, k) is the centerSubstitute to get:
(x - (-3))² + (y - 5)² = (√37)²(x + 3)² + (y - 5)² = 37