We have to graph the inequality:
\(y\ge-2x-4\)The first step is to graph the boundary line y = -2x - 4.
It has a y-intercept y(0) = -4.
We also can check that the x-intercept is x = -2.
With the two intercepts (or any other two points) we can graph the line.
This line will be graphed as a full line. This is because the line is included as part of the solution.
Now, because of the sign ">", the solution region includes all the values of y above the boundary line.
Then, we can graph the inequality as:
The store is selling lemons at $0.66 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?
Answer:
$7.92
Step-by-step explanation:
Aimee is flying to visit her grandparents. The first leg of her flight is 2 hours, 43 minutes. The second leg of her flight is 1 hour, 38 minutes. What is her total flight time?
A: 4h 11min
B: 3h 81 min
C: 4h 21 min
D: 1h 5min
BALL The function h = -1672 + 25t + 5 can be used to represent the height h in feet of a juggler's ball after t seconds of being tossed in the air by a juggler 5 feet tall. Graph the function. Use your
graph to estimate the height of a juggler's ball that has been in the air for 1.5 seconds.
Sry all the answers couldn’t fit in the question but I’m putting the rest of the answers r on another question I made
Answer:
Graph is attached
6.5 feet
Step-by-step explanation:
The function is
\(h=-16t^2+25t+5\)
We need to find the height of the ball when the ball has been in the air for 1.5 seconds.
So, \(t=1.5\)
\(h=-16\times 1.5^2+25\times 1.5+5\\\Rightarrow h=6.5\ \text{feet}\)
The ball is \(6.5\ \text{feet}\) from the ground when the ball has been in the air for 1.5 seconds.
The graph denotes the path of the ball.
Helppppp plzzzzzzz!!!!!!! 20+PTS and brainliest!!!!!!!!!
Transformations to the absolute value parent function are described. Write the new function.
13. Translated 9 units right.
14. Reflected in the x- axis.
15. Vertically compressed by a factor of 3/4.
16. Shifted 4 units up.
Translated 9 units right.
g(x)=|x-9|
Reflected in the x- axis.
g(x)=-|x|
Vertically compressed by a factor of 3/4.
\(g(x)=\frac{3}{4}|x|\)
Shifted 4 units up.
g(x)=|x|+4
Given
Absolute parent function that is f(x)=|x|
Translation up:
For translation right by 'k' units
f(x) becomes f(x-k)
Translated 9 units right , the new function
\(g(x)=f(x-9)=|x-9|\\g(x)=|x-9|\)
Reflect in x axis
f(x)=-f(x)
\(g(x)=-|x|\)
Vertically compressed by 'k' factor
f(x) becomes k times f(x)
Vertically compressed by a factor of 3/4.
\(g(x)=\frac{3}{4} |x|\)
Shifting up by 'k' units
f(x) becomes f(x) +k
Shift 4 units up
\(g(x)=|x|+4\)
Learn more : brainly.com/question/18784552
A sprinter starts from rest, and accelerates at 1.87 m/s^2 over a distance of 14.0 m. What is a her final velocity?
Classify the triangle by its sides and angles. Explain your reasoning.
The triangle that has been shown is a scalene obtuse triangle.
What is a scalene obtuse angle triangle?
A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.
A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.
Thus we have a scalene obtuse triangle.
Learn more about triangle:https://brainly.com/question/2773823
#SPJ1
When I tried this problem, I got a_n=28-7(n-1) as an answer but it was marked as wrong so pls help me with it lol
We have the next sequence:
28,21,14,7....
We can find the common difference :
28
28-7= 21
21-7 = 14
14-7=7
Hence, the common difference is d=-7.
The recursive formula is given by:
\(\begin{gathered} a_n=a_{n-1}+d \\ \text{Then:} \\ a_n=a_{n-1}-7 \end{gathered}\)I need help on how to fill a deposit slip, please someone help with details and dont abuse for points.. I want to learn how rather than give the answer.
All edges of a cube are expanding at a rate of 2 centimeters per second.
(a) How fast is the volume changing when each edge is 3 cm? All edges of a cube are expanding at a rate of 2 cm/s.
(b) How fast is the volume changing when each edge is 13 cm(s)?
Therefore, the volume is changing at a rate of 54 cm3/s when each edge is 3 cm and at a rate of 1014 cm3/s when each edge is 13 cm.
The volume of a cube is given by the formula V = e3, where V is the volume and e is the length of each edge. Therefore, the rate of change of the volume with respect to the edge length is given by the derivative of the volume with respect to the edge length:
dV/de = 3e2
Since the edges are expanding at a rate of 2 cm/s, we can use the chain rule to find the rate of change of the volume with respect to time:
dV/dt = dV/de × de/dt = 3e2 × 2 = 6e2
(a) When each edge is 3 cm, the rate of change of the volume is:
dV/dt = 6(3)2 = 6(9) = 54 cm3/s
(b) When each edge is 13 cm, the rate of change of the volume is:
dV/dt = 6(13)2 = 6(169) = 1014 cm3/s
Therefore, the volume is changing at a rate of 54 cm3/s when each edge is 3 cm and at a rate of 1014 cm3/s when each edge is 13 cm.
Learn more about Edge
brainly.com/question/2272331
#SPJ11
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
To know more about function visit:
brainly.com/question/28193995
#SPJ1
Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.
Jonathan’s answer is unreasonable because 1 times 8 is 8, and 8 is not very close to 15.77.
Answer:here is the right answer took the test and got it right trust and believe Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.
Step-by-step explanation:
Find the product
3(z+4)(x-5)
Answer:
3zx-15z+12x-60
Step-by-step explanation:
first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20
then distribute the 3 to get the answer
What is the formula for finding circumference given the radius?
Answer:
\(C = 2\pi r\\\)
Step-by-step explanation:
\(Circumference = 2\times \pi \times r\)
Solve equation x-9= -12
Answer: x=-3
Step-by-step explanation:
move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative
Given the relation y = 3x + 1, if the input is 4, what is the output?
HINT: output is the dependent variable or range.
A. 8
B. 13
C. 4
D. 49 is not the right answer
Answer:
13
Step-by-step explanation:
input is X
and output is Y
if the input is 4, then we need to plug in x=4
we get
y=3*4 + 1 = 12+1=13
Answer:
13
Step-by-step explanation:
If you plug in 4 for x (the input) and do the math. 3x4 is 12 then 12+1 is 13
ANYONEEEE ? I need to help
Answer:
please mark my answer brainliest
Step-by-step explanation:
A.....will be the answer....
Solve for b
10, b, 150degrees, 12degrees
Hello!
We have all angles of the triangle:
We will use the law of cosines. This relation is valid for all sides of any t
We have:
angle A = 12°
côté a = 10
angle B = 150°
This is therefore the first case of application of the sine law.
So:
\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)
\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)
b = 25cmWhen solving this problem, what is the first step you would need to do? 3 (4x - 5) = 10 Add 5 Divide by 4 Distribute the 3 Subtract 4x - 5
Answer:
Distribute the 3
Step-by-step explanation:
order of operations mate
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
Graph makes no sense to me
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
e
value of x:
3/2 (x – 4) = 2(3x + 1)
Answer:
Step-by-step explanation:
Type the correct answer in each box. If necessary, use /for the fraction bars
Answer:
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Step-by-step explanation:
The complete question is:
Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.
3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6
The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.
Solution:
The possible outcomes of rolling an 8-sided die are:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The odd numbers are:
Odd = {1, 3, 5, 7} = 4 outcomes
The theoretical probability of rolling an odd number is:
\(P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%\)
Now from the given 20 outcomes the odd values are:
Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes
Compute the experimental probability of rolling an odd number as follows:
\(P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%\)
Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
what is the easiest way of getting rid of a fraction in an algebraic problem? Give examples please and explain carefully.
Step-by-step explanation:
multiple through by a common factor to eliminate the denominator
An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
The state fair charges 10 dollars to enter, and then 2 dollars per ride that you go on.
1. Write an equation representing how much it will cost to attend the fair and go on rides.
2. If Jeremy spent 26 dollars at the state fair, how many rides did he go on?
Answer: 8 rides
Step-by-step explanation: He has 26 dollars. He paid 10 dollars to get in. 26-10=16. The rides are 2 dollars a piece. 16÷2=8. He got to ride 8 rides.
Larry starts at the bottom of a long staircase. He climbs exactly of the stairs. Then, he goes back down exactly 2/3 of the way to the bottom. From that spot, he climbs exactly of the way to the top. Finally, from there he 1/2 2/3 climbs 6 stairs to reach the top. How many stairs are in the staircase?
There are a total of 27 steps on the staircase.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Let x be the total number of steps in the staircase.
Larry climbs exactly 2/3 of the stairs.
Number of steps Larry climbed = 2x/3
She goes back exactly 1/2 of the way to the bottom.
Number of steps returned = (2x/3) (1/2) = 2x/6 = x/3
She is at x/3 steps from the bottom.
From that spot, she climbs exactly 2/3 of the way to the top.
Remaining steps to the top = x - x/3 = 2x/3
Number of steps Larry climbed = 2/3 of the way to the top = (2/3)(2x/3) = 4x/9
So we get,
x/3 + 4x/9 + 6 = x
x - x/3 - 4x/9 = 6
x - 7x/9 = 6
2x/9 = 6
2x = 54
x = 27
Hence there are 27 steps in the staircase.
To learn more about Fractions, click :
https://brainly.com/question/8482939
#SPJ1
The complete question is as follows :
Lara starts at the bottom of a long staircase. She climbs exactly 2/3 of the stairs. Then, she goes back down exactly 1/2 of the way to the bottom. From that spot, she climbs exactly 2/3 of the way to the top. Finally from there, she climbs 6 stairs to reach the top. How many stairs are in the staircase?
The value of z varies inversely with the value of w. The constant of variation is 2. Which are possible values for z
3
and w? Check all that apply.
Oz=.
z = 1+₁ w = 2/1/201
O z = 2, w = 3
O z=
z = -1/₁w=2
O z
4,
= 1/5, w = 2/1/201
z = 1/2/3₁, w = 2/1/201
Answer:A,C,D
As a result of the inverse relationship between z and w, their product is constant.
What does "inverse connection" actually mean?There is an inverse relationship between two parameters when they are connected, where the value of one parameter tends to decrease as the value of the other parameter increases. It's often described as a "bad friendship" in conversation.
According to the information:z * W is equal to 1.
The statement indicates that the constant's value is 2/3, so:
z * w = 2/3
The result of solving for any of the variables is:
either w = (2/3) / z or z = (2/3) / w
The following values fit that relation:
z w = (2/3) / z
-8/9 (2/3) / (-8/9)
= - (2/3) * (9/8) = -3/4
- 4/9 (2/3) / (-4/9)
= - (2/3) * (9/4) = - 3/2
- 2/9 (2/3) / (-2/9)
= - (2/3) * (9/2) = - 3
2/9 (2/3) / ( 2/9)
= (2/3) * (9/2) = 3
4/9 (2/3) / (4/9)
= (2/3) * (9/4) = 3/2
To know more about inverse relationship visit:-
https://brainly.com/question/28628342
#SPJ1
9. How many kilograms are in 14,500 grams?
10. An igloo container holds 1,536 ounces of water. Each water bottle holds 16 ounces. How
many water bottles can be filled from the igloo container?
Answer:
17
Step-by-step explanation:
hhhhhhhhhhhuuuuuuyhjjhhhhhhhuhhyyhhyfddfgfddfgddfffrrfffffrrrrrt
Answer:it’s wrong
Step-by-step explanation:no one. Do it
Someone please help me with this
NEED THIS ASAP Solve each absolute value by expression
1) [x+8]=16
\(x + 8= 16\)
\( \rightarrow \: x = 16 - 8\)
\( \rightarrow \: x = 8\)
Answer:
x = 8 or x = -24
Step-by-step explanation:
Hello!
An absolute value expression has two cases, a positive and a negative.
Therefore, we have to solve two equations here:
x + 8 = 16x + 8 = -161) x + 8 = 16x = 82)x + 8 = -16x = -24The two solutions are x = 8 and x = -24.