Answer:
When we have a function:
f(x)
The average rate of change in the interval a < x < b
is given by:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Now for each of the given intervals, let's find the average rate of changes.
q(x) = (x + 3)^2
1) -6 ≤ x ≤ -4
[tex]r = \frac{(-4 + 3)^2 - (-6 + 3)^2}{-4 - (-6)} = \frac{1 - 9}{2} = -4[/tex]
here the correct option is F.
2) -3 ≤ x ≤ 0
[tex]r = \frac{(0 + 3)^2 - (-3 + 3)^2}{0 - (-3)} = \frac{9}{-3} = -3[/tex]
Here the correct option is D.
3) -6 ≤ x ≤ -3
[tex]r = \frac{(-3 + 3)^2 - (-6 + 3)^2}{-3 - (-6)} = \frac{9}{3} = 3[/tex]
Here the correct option is C
4) -3 ≤ x ≤ -2
[tex]r = \frac{(-2 + 3)^2 - (-3 + 3)^2}{-2 - (-3)} = \frac{1}{1} = 1[/tex]
Here the correct option is B.
5) -4 ≤ x ≤ -3
[tex]r = \frac{(-3 + 3)^2 - (-4 + 3)^2}{-3 - (-4)} = -1/1 = -1[/tex]
Here the correct option is A
6) -6 ≤ x ≤ 0
[tex]r = \frac{(0 + 3)^2 - (-6 + 3)^2}{0 - (-6)} = \frac{9 - 9}{6} = 0[/tex]
Here the correct option is E.
Karen has a cube that has a side length of 6 in. The net of the cube is shown.
What is the surface area of the cube?
A 36 square inches
B 144 square inches
C 180 square inches
D 216 square inches
Answer:
C. 180 square inchesStep-by-step explanation:
#carry on learning #mark brainlitsA lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver costing 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace
Answer:
12.8cm
640 naira
12,800 naira
Step-by-step explanation:
length of the wire is equal to the perimeter of a square
perimeter of a square = 4 x length
4 x 3.2 = 12.8 inches
cost of the square = length of the wire x 50
12,8 x 50 = 640
20 x 640 = 12800
"-3x" + 5 < "-10" Inequality 2: 7x + x - 4 > 28 Which of the following values makes BOTH inequalities TRUE? Select all that apply! 12 "-5" −152 "-8.25" 23 48 325
Answer:
12, 23, 48, 325
Step-by-step explanation:
So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.
Inequality 1:
(-3x) + 5 < (-10)
Inequality 2:
7x + x - 4 > 28
simplifies to: 8x - 4 > 28
When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.
Answers that apply from given list would be:
12, 23, 48, 325
Please help i will do anything!! Pleasee
Answer:
i will say the first one is yes and then is the third one
Step-by-step explanation:
Find the distance between the two points coordinate plane below?
a. 6.00
b. 6.40
c. 5.50
d. 4.50
Answer:
b. 6.40
Step-by-step explanation:
the distance = √(4+1)² + (1-5)²
=√25+16=√41 = 6.40
Please helppp me :( it’s c^4/c^3
Answer:
c
Step-by-step explanation:
Because [tex]\frac{c}{c}[/tex] is 1 the equation turns into...
[tex]c^{4-3}[/tex]
which equals...
[tex]c^{1}[/tex]
and [tex]c^{1}[/tex] is just c
Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
___
0. 901
Answer:
901/1000
hope this helps
have a good day :)
Step-by-step explanation:
Isabella is going to invest $2,400 and leave it in an account for 13 years. Assuming
the interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Isabella to end up with $3,800?
Answer:
i got 0.048%
Step-by-step explanation:
Answer:
r=3.54%
Step-by-step explanation:
How do you do algebra
Answer:
You download math apps
Step-by-step explanation:
I don't know, I tried to learn it- even the basics- but I vomited on the kitchen table as soon as I practiced an equation.
I'm allergic to algebra.
A person really wants a Apple. They are going to kick a ball up into the tree and knock a Apple to the ground. How far must they kick the ball?
EXPLAIN YOUR ANSWER! (Please)
(Use the picture to help you)
Answer:
The person must kick the ball around 31.62 feet high (They really want an apple!)
Step-by-step explanation:
If you think about it, the diagram will look like a triangle, so using the Pythagorean theorem, (a² + b² = c²), you will get around 31.62.
Have a good ay :)
Answer: 31.62
Step-by-step explanation:
What is the perimeter of the rectangle?
Answer:
28 Centimeters
Step-by-step explanation:
Have a good day :)
Round 1379842 to the nearest 1000
Answer: I think 1000 sorry if I’m wrong have a great day!
Step-by-step explanation: 1,379,842 = 1000
Simplify: 7!
5,040
40,320
7
720
Answer:
no.1 -5040 is the correct answer
A kayak is $329.95, marked 33% off. Discount: ____ Selling Price __
Answer:
$108.88
Step-by-step explanation:
because 329.95×0.33= 108.88
I really need help please :(
Answer: 125 mg per serving for orange juice. 90 mg per serving for cranberry
Step-by-step explanation:
Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox
Answer:
925 cubic inches
Step-by-step explanation:
Miguel has a toolbox that measures 18 1/2 inches by 12 1/2 inches by 4 inches. Fill in the formula to find the volume of the toolbox
The toolbox is shaped as a Rectangular prism
The volume of a rectangular prism = Length × Width × Height
Hence,
Length = 18 1/2 inches
Width = 12 1/2 inches
Height = 4 inches
Volume of the toolbox =
18 1/2 inches × 12 1/2 inches × 4 inches
= 925 cubic inches
7th grades math help me pleaseeee
Answer:
7 attendees
Step-by-step explanation:
From the above question, we know that:
$10 = 5 attendees
$14 = x
Cross Multiply
$10 × x attendees = $14 × 5 attendees
x attendees = $14 × 5 attendees/$10
x attendees = 7 attendees
Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7
What is the equation in slope-intercept form
of the line that passes through the points
(-3, 10) and (3, 14)?
Answer:
C) y=2/3x+12
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(14-10)/(3-(-3))
m=4/(3+3)
m=4/6
simplify
m=2/3
y-y1=m(x-x1)
y-10=2/3(x-(-3))
y-10=2/3(x+3)
y=2/3x+6/3+10
y=2/3x+2+10
y=2/3x+12
Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?
A. 1/5
B. 1/3
C. 1/4
D. 3/100
E. 2/5
Answer:
E
Step-by-step explanation:
3/10 + 1/10 = 4/10
simplify 4/10
4/2 and 10/2
ANSWER = 2/5
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spheres?
The volume of the larger sphere is π
cubic inches greater than the volume of the smaller sphere.
Answer:
Solution given;
for sphere
radius [r]:12inches
another
radius [R]:9inches
Now
difference in volume of sphere:
volume of sphere of having radius [r-R]
=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]
=[tex] \frac{4}{3} π[/tex](12³-9³)
= 1332π cubic inches
The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.
By visual inspection, determine the best-fitting regression model for the
scatterplot
X
5
-10
A. Linear
B. Quadratic
C. Exponential
D. No pattern
Answer:linear
Step-by-step explanation:
it is a straight line
The best-fitting regression model for the scatterplot is linear. Thus, the correct answer is an option (A).
As per the given figure, the data points on a scatterplot, with the dependent variable (y-axis) plotted against the independent variable (x-axis).
Looking at the general pattern of the data points on the scatterplot.
Here, they follow a roughly linear trend.
This means that the data points roughly form a straight line or a curve that looks like a straight line.
Thus, the best-fitting regression model for the scatterplot is linear.
Hence, the correct answer is option (A).
Learn more about the regression model here:
https://brainly.com/question/24177976
#SPJ7
What are the values of m and o In the diagram below?
Answer:
What diagram below?
Step-by-step explanation:
There's no picture.
How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x
Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.
The answer would be 15(4) = 5x
82.8 cm measured to the nearest tenth of a cm.
Answer:
80.0 cm
...................
what is the most common denomonator outof 1/3 1/5
Answer:
1/5
Step-by-step explanation:
15? I think that's what you were asking
A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?
Answer:
I think 50
Step-by-step explanation:
Answer:
470 inches
Step-by-step explanation:
p = 2l + 2w
p = 2*145 + 2*90
p = 290 + 180
p = 470
Please help!! I will give brainliest and no links!!
Problem:
The Winter fest Race will be held in December. A course was planned that
required runners to run 20 kilometers (km.) The race organizers planned the
race in 3 parts. Part 1 of the course is 4,000 meters (m). Part 2 of the race
is 6,000 meters (m.) Tommy said that there is no need for the Part 3 and that
Part 1 and 2 are 20 km. He is incorrect. How many meters will be required
for Part 3
Answer:
10,000m
Step-by-step explanation:
1 kilometer is equivalent to 1,000 meters. Therefore, we can find out why Tommy was incorrect and how many meters will be required for part 3 by converting the meters in this question to kilometers.
4,000m = 4km
6,000m = 6km
4km plus 6km is equal to 10km, which is nowhere near 20km. To find out how many kilometers we need for part 3, we need to subtract the number of kilometers we already have (10km) from the total number we need for the whole race (20km).
20km – 10km = 10km
Since the question is asking us to give the answer in meters, we need to multiply 10km by 1,000.
10km = 10,000m
The answer is 10,000m.What is the polynomial for this?
Answer:
Polynomial=4x^3+2x^4+15x-5
in standard form:2x^4+4x^3+15x-5
Step-by-step explanation:
Is the function below linear or non linear? y = 5 + 3(x-4)
Answer:
Linear
Step-by-step explanation:
The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to
y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation
y - mx + b where m is the slope and m is the y intercept.
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Enter the sample mean and the population mean in the boxes.
x¯ =
min
μ =
min
Answer:
x¯ = 26 min
μ = 23 min
Step-by-step explanation:
I took the test and these were the answers.