Answers
Answer: The blue dot's value on the number line is 1.
Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.
Related Questions
Find g(x) if the indefinite integral of f(x) need little help
Answers
Answer:
g(x) = 4x² - x
General Formulas and Concepts:
Algebra II
Functions
Function NotationPiecewise FunctionsCalculus
Integration
IntegralsIntegral NotationIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note:
Integrating a piecewise function requires you to integrate both parts.
Step 1: Define
Identify.
[tex]\displaystyle f(x) = \left \{ {{8x - 1 ,\ x \leq 4} \atop {31 ,\ x \geq 4}} \right.[/tex]
[tex]\displaystyle \int {f(x)} \, dx = \left \{ {{g(x) + C ,\ x \leq 4} \atop {31x + C ,\ x \geq 4}} \right.[/tex]
Step 2: Find function g(x)
We can see that the 2nd part of the piecewise function already has been integrated:
[Integral] Set up: [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = \int {31} \, dx ,\ x \geq 4[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = 31 \int {} \, dx ,\ x \geq 4[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int {f(x)} \, dx ,\ x \geq 4 = 31x + C ,\ x \geq 4[/tex]To find function g(x), we simply have the same setup:
[Integral] Set up: [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = \int {8x - 1} \, dx ,\ x \leq 4[/tex][Integral] Rewrite [Integration Rule - Addition/Subtraction]: [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = \int {8x} \, dx - \int {1} \, dx ,\ x \leq 4[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 8 \int {x} \, dx - \int {} \, dx ,\ x \leq 4[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 8 \bigg( \frac{x^2}{2} \bigg) - x + C ,\ x \leq 4[/tex]Simplify: [tex]\displaystyle \int {f(x)} \, dx ,\ x \leq 4 = 4x^2 - x + C ,\ x \leq 4[/tex]Redefine: [tex]\displaystyle g(x) = 4x^2 - x + C ,\ x \leq 4[/tex]The integration constant C is already included in the answer, so our answer is g(x) = 4x² - x.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration (Applications)
Choose a way to solve.
Write or draw to explain.
2. Greg has Il shirts.
3 have long sleeves.
The rest have short sleeves.
How many short-sleeve
shirts does Greg have?
Help please! Thank you in advance!!
Answers
Answer:
8 short sleeve shirts
Step-by-step explanation:
Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.
Jocelyn gave the cashier $50 to pay for 3 shirts. The cashier gave her $5.03 in change. Each shirt cost the same amount. What is the cost in dollars and cents for each pair of shirts?
Answers
Answer:
14.9
Step-by-step explanation:
50-5.03 = 44.97
44.97 ÷ 3 = 14.99
Plz solve this its urgent
Options are 6cm
3cm
1.5cm
Answers
ΔPQR has: PM is a median
So: MR = QM = 3 cm
ANSWER: MR = 3 cm
Ok done. Thank to me :>
How do I add mixed numbers?
Answers
Solve the proportion where necessary, round to the nearest hundredth 12/13 = X/13
Answers
Answer:
12
Step-by-step explanation:
12 / 13 = x / 13
Cross Multiply,
12 * 13 = 13 * x
x = ( 12 * 13 ) / 13
x = 12
find the value of X in the following figures
Answers
Answer: 70
Step-by-step explanation:
Diagonals of a rhombus bisect each other at right angles, so
[tex]x+20=90\\\\x=\boxed{70}[/tex]
MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.
Answers
Answer:
Ms. I am sure that you are already correct
A soccer ball has an interior diameter of 22 cm. How many cubic centimeters of air does a soccer ball contain, rounded to the nearest tenth of a centimeter?
Answers
Answer:
20m
Step-by-step explanation:
bc 22m rounded to the closest tenth is 20m.
Hopes This Helps :)
Answer:
about 180 cm
Step-by-step explanation:
helpppppppppppp plzzzzzzzzzzzzz
Answers
Answer: It is C
Step-by-step explanation:
What is an equation of the line with slope 6 and y-intercept -4?
Answers
Answer:
y = 6x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables.
m = 6
y = -4
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = 6x - 4OMG HELP RN I GIVE BRAINLIST
Which of the following correctly describes the solutions to the inequality?
A.
There are 5 solutions. The solutions are the numbers between 4 and 8.
B.
There are an infinite number of solutions. The solutions are all numbers less than 3.
C.
There are 6 solutions. The solutions are the numbers between -2 and 3.
D.
There are an infinite number of solutions. The solutions are all numbers greater than 3.
Answers
The number 3 isn't included because the point isn't included.
The arrow points to the left, representing any number less than 3 to be a solution.
Inequality: x < 3
An article when sold at a profit of 5% yields Rs 50 more than when sold at a loss of 5%. What was the cost price of the article?
Answers
Answer:
Rs 500
Step-by-step explanation:
For cost c, the price that gives a 5% profit is ...
c + 5%·c = 1.05c
The price that gives a 5% loss is ...
c -5%·c = 0.95c
The difference of these prices is Rs 50:
1.05c -0.95c = 50
0.10c = 50 . . . . simplify
c = 500 . . . . . . . divide by 0.1
The cost price of the article is Rs 500.
A landscaping company charges customers for lawn care based on the area of their yards. Mr. Jones was charged $52 for his yard, which is 40 feet by 65 feet.
If a neighbor’s yard is 50 feet by 80 feet, what would the neighbor be charged based on how much Mr. Jones was charged?
A
$60
B
$80
C
$100
D
$120
Answers
Step-by-step explanation:
40×65=2600
2600/ 52=50
50×80=4000
4000/50=80
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answers
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
Order the numbers from least to greatest
Answers
Step-by-step explanation:
(| |) makes the number opposite
|10|=-10
|-3|=3
|0|=0
|-5.25|=5.25
Least to greatest
|10|, |0|, |3|, |5.25|
Let me know if there's any mistakes
Should I write the answer as decimal or a whole number
Answers
help me please please
Answers
Answer:
C? yikes if im wrong mb
Step-by-step explanation:
5/6 in simpliest, its C id have to assume
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help
Answers
Can someone help me please
Answers
Answer:
Step-by-step explanation:
(h, k) = (4, 8)
(y - k) = a(x - h)²
(y - 8) = a(x - 4)²
y = a(x - 4)² + 8
plug in one of the x intercepts (or any other known point on the curve)
0 = a(2 - 4)² + 8
0 = a(4) + 8
a = -2
y = -2(x - 4)² + 8 fourth option.
Answer:
y= -(x-4)^2+8
Step-by-step explanation:
negative graph since the turning point is +ve 4..thus the equation will be (x-4)^2 the y axis is 8 units up therefore the above equation is the answer
I need some help plsssss
Answers
Answer:
(6, - 5 )
Step-by-step explanation:
The parabola is symmetrical about x = 4
The point (2, - 5 ) is 2 units to the left of x = 4 ,then
the point 2 units to the right of x = 4 is (6, - 5 )
Assume that all letters in the following equation represent positive numbers.
Answers
Answer:
None of the suggested answers
Can someone help Pleasaseee
Answers
Answer:
i think it's 1.8.
Step-by-step explanation:
why? bc if u add 6/20 + 1.5 = 1.8
i think it's 1.8, im not sure, hopefully it's correct!!
Answer:
1.8
Step-by-step explanation:
you just simplify -6/20 into a decimal and you get .3 then you add it to 1.5.
A bag with 6 marbles has 2 blue marbles, 1 red marble, and 3 yellow marbles. A marble is chosen from the bag at random. What is the probability that it
is not blue?
Answers
There are 2 blue marbles out of 6 total marbles.
6-2 = 4 marbles are not blue.
Probability of not being blue = 4/6 which reduces to 2/3
Answer: 2/3
Let simplify :- 2 ⅓ ÷ 1 ⅛ ÷ 2 ¼
Answers
Step-by-step explanation:
7/2 ÷ 9/8 ÷ 9/4
7/2 × 8/9 × 4/9
= 112/81
= 1 ³¹/81
[tex]\large\huge\green{\sf{Question:-}}[/tex]
2 ⅓ ÷ 1 ⅛ ÷ 2 ¼[tex]\large\huge\green{\sf{Answer:-}}[/tex]
=2 ⅓ ÷ 1 ⅛ ÷ 2 ¼ =???
=7/2 ÷ 9/8 ÷ 9/4
=7/2 × 8/9 × 4/9
= 224/162
=112 /81
=1 ³¹/81
The time it takes to transport goods has __________ over time, causing trade to __________. A. increased . . . decrease B. decreased . . . decrease C. decreased . . . increase D. increased . . . increase Please select the best answer from the choices provided A B C D
Answers
Answer: C. decreased . . . increase.
As technology is advancing it requires less time and effort to do almost anything. So for tranportation as well i think it will take less time to do it. Thus logically people would want to trade more because the transport goods take less time. I guess?
Answer:
C
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
calculate the exact value of (5/12-11/13)/3/26
Answers
Answer:
-67/12168
Step-by-step explanation:
(5/12-11/13)/3/26 Find the least common denominator to get
65/156 - 132/156 = -67/156
-67/156 /3 /26 multiply -67/156 by 1/3 to get -67/468
-67/468 /26 multiply -67/468 by 1/26 to get 12168
-67/12,168
What is:
-24 - (-64)
Answers
Answer:
40
Step-by-step explanation:
Calculator.
Answer:
your answer should equal to 40
Step-by-step explanation:
hope its right!
Can someone help me with these 2 geometry questions?? Will mark brainiest :)
Answers
Answer:
Thats to hard Do it your self
Homework: Ch 5.2
Question 1, 5.2.3
HW Score: 25%, 2 of 8 points
O Points: 0 of 1
Save
A recipe for 14 banana-nut mutins calls for 1 cup of flour. The number of muffins that can be made varios directly with the amount of flour used. There are 2.2 cups of flour available. How many muffins can be made?
Answers
Answer:
30 muffins
Step-by-step explanation:
2.2 cups of flour is 2.2 times the 1 cup quantity required for 14 muffins. Since muffins are proportional to flour, that means 2.2 times 14 muffins can be made. That is ...
2.2×14 = 30.8
30 whole muffins can be made.
_____
Additional comment
If each muffin is made about 0.6% smaller than for the standard recipe, then 31 muffins could be made from 2.2 cups of flour. Usually, this change in size will not be noticeable.