Graph the following:X>y^2 + 4y
Answers
Solution:
Given the inequality;
[tex]x>y^2+4y[/tex]The graph of inequality without an equal sign is done with broken lines,
The y-intercept is;
[tex]\begin{gathered} 0>y^2+4y \\ \\ 0>y(y+4) \end{gathered}[/tex]Thus, the graph is;
Related Questions
A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.f(x)=262144(1/2)^xWhich statement compares the mathematical range and reasonable range of the function?1. Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.2. Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.3. The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.4. The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144
Answers
The given function is
[tex]f(x)=262,144(\frac{1}{2})^x[/tex]This is a decreasing exponential function, due to the base is less than 1. When the base is less than one, the function is decreasing and 1/2 is less than 1.
The range of this exponential function is "all numbers greater than zero" because a power can't result in a null result (nor negative), that is, we can't get zero (or negative number) from a power, no matter what base it has, this applies for every exponential function.
However, the reasonable range refers to those values that make sense to the problem, because not all of the values from the function are valid as a reasonable solution.
Therefore, the reasonable range
[tex](0,262144\rbrack[/tex]Notice that the limit is 262,144, since that's the maximum number of teams possible.
The right choice is the "The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144"
a large Square can be divided into 16 small squares a large Square can be divided into 16 small squares that have equal sides length of 1 cm what is the area of the large Square
Answers
ok
According to the information given, if the large square can be divided into 16 small squares, that means that there are only 4 squares on each side of thelarge square, see the picture
here, we can observe 16 squares, ans 4 squares in each row.
So, if each small square measures 1 cm
Area of the large square = 4 x 4 = 16 cm^2
Result
The area of the large square is 16 cm^2
Find the slope of the line passing through the points (0, 3) and (5, 2).51-1515-51
Answers
Given: The points below
[tex]\begin{gathered} Point1:(0,3) \\ Point2:(5,2) \end{gathered}[/tex]To Determine: The slope of the given points
Solution
The slope of two points can be determine using the formula below
[tex]\begin{gathered} Point1:(x_1,y_1) \\ Point2:(x_2,y_2) \\ Slope=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Substitute the given points into the formula
[tex]slope=\frac{2-3}{5-0}=-\frac{1}{5}[/tex]Hence, the slope of given line is -1/5
A license plate has two letters followed by three digits.What is the probability that the license plate are all odd numbers?
Answers
The number plate has two letters and three digits
The probability that the license plate are all odd numbers will be ...........
The probability of that the three numbers are odd is 1 / 2 x 1 / 2 x 1 / 2 = 1/8
The sum of the two numbers is 16. One number is 4 less than 3 times the other. Find the numbers.4, 511, 610, 511, 5
Answers
Explanation:
Let the first number be represented as
[tex]=x[/tex]Let the second number be represented as
[tex]=y[/tex]The sum of the two numbers is 16.
This can be represented below as
[tex]x+y=16----(1)[/tex]One number is 4 less than 3 times the other
This can be represented below as
[tex]y=3x-4----(2)[/tex]Step 1:
Substitute equation (2) in equation (1)
[tex]\begin{gathered} x+y=16 \\ x+3x-4=16 \\ 4x-4=16 \\ add\text{ 4 to both sides} \\ 4x-4+4=16+4 \\ 4x=20 \\ divide\text{ both sides by 4} \\ \frac{4x}{4}=\frac{20}{4} \\ x=5 \end{gathered}[/tex]Step 2:
Substitute x=5 in equation (1)
[tex]\begin{gathered} x+y=16 \\ 5+y=16 \\ substract\text{ 5 from both sides} \\ 5-5+y=16-5 \\ y=11 \end{gathered}[/tex]Hence,
The final answers are
[tex]\Rightarrow11,5[/tex]Hi I need help with these questions, if you can only answer 1 that’s okay. Thank you!
Answers
Each square in the block represents each block of size = 0.1*0.4 = 0.04.
1.
The factor 1.5 is divided into two number because in the figure it is shown that the 1 is up to orange line and 0.5 is up to black line and we want to find only area of divided parts.
That is
1*0.4 + 0.5 * 0.4
= 0.4+0.20
= 0.6
2.
Each square in the block represents each block of size = 0.1*0.4
= 1*4/10*10
= 4/100
= 0.04
Learn more about the divided here:
https://brainly.com/question/15381501
#SPJ1
what are the mixed decimal fraction and the simplified mixed fraction for 9.875
Answers
The given decimal fraction is:
[tex]9.875[/tex]This can be expressed into a fraction as:
[tex]\frac{9875}{1000}[/tex]Hence, the mixed decimal fraction is:
[tex]9\frac{875}{1000}[/tex]Hence, the simplified mixed fraction is:
[tex]9\frac{7}{8}[/tex]5. Write a general formula to describe the variation: x varies inversely with y.A: X=K • YB: X=K/YC: X=-K•YD: X=K/Y^2
Answers
If x varies inversely as y, then that means
[tex]x=\frac{k}{y}[/tex]where k is a constant of proportionallity. Then, the answer is option B.
what is the probability thay Noah will score 60 points if the 50 point circle has a radius 0.25 feet?bean bag throw6 feet ling2 feet wide
Answers
SOLUTION
Step 1: We need to find the area of the 50 -point circle of radius, 0.25 feet.
Recall that the Area of the Circle =
[tex]\begin{gathered} \pi r^2\text{ where }\pi\text{ =}\frac{22}{7}\text{ , r= 0.25 f}eet \\ =\text{ }\frac{22}{7}\text{ x 0.25 x 0.25 = 0. 1964 f}eet^2 \end{gathered}[/tex]Step 2: We need to find the Area of the Rectangle,
where length =6 feet and Width = 2 feet
[tex]\begin{gathered} \text{Area of the Rectangle = Length X Width} \\ 6\text{ f}eet\text{ x 2 fe}et\text{ = 12 f}eet^2 \end{gathered}[/tex]Step 3 : We need to find the probability that Noah will sc
Which equation represents a line which is parallel to the line 6y-7x=246y−7x=24?
Answers
The answer is very simple
First you need to solve the algebraic operations of the line and take it to its minimum expression
1. (01.01 )At a local restaurant, Enrique is paid $4.55 per hour and earns an average of $19 tips on all food sales. Identify the algebraic expression that could be used to represent Enrique's gross pey (4 points)O 455() +1.90455() +0.19004550) - 1.900O 455-0.1960
Answers
Data
• $4.55 per hour
,• Earns an average of 19 tips (assuming that the tips are in dollars).
Procedure
To identify the algebraic expression, we have to identify the variable earn (the quantity that depends on something) and the fixed (the one that is mostly constant).
Based on the information given, we can assume that the variable quantity is $4.55, as it depends on the time, and the fixed is $19. Thus, the algebraic expression can be written as follows:
[tex]E=4.55t+19[/tex]where E represents the earnings and t represents the time.
Answer:
[tex]E=4.55t+19[/tex]A stone pyramid in Egypt has a square base that measures 158 m on each side. The height is 96 m. What is the volume of the pyramid?
Answers
Given:
The base of the pyramid is 158 m.
Height is 96 m
The volume of the Pyramid is given as,
[tex]\begin{gathered} V=\frac{1}{3}\times Area\text{ of the cross- section}\times height \\ V=\frac{1}{3}\times Area\text{ of the square}\times Height \\ V=\frac{1}{3}\times(s^2)\times h \\ V=\frac{1}{3}\times158^2\times96 \\ V=\frac{2396544}{3} \\ V=798848m^3 \end{gathered}[/tex]Answer: The volume of the Pyramid is 798848 cubic meters.
Describe how to transform into an expression with a rational exponent. Use full sentence
Answers
For any numbers x, a and b, we aply the following rules:
[tex]\sqrt[a]{x^b}=x\text{\textasciicircum(b/a)}[/tex]and
[tex](x^a)^b=x^{ab}[/tex]Therefore, we got:
[tex](\sqrt[6]{x^5})^7=x^{(5\cdot7)/6\text{ = 35/6}}[/tex]Which answer best describes the shape of this distribution?uniformbell-shapedskewed leftskewed right
Answers
To answer this question, we need to understand the difference between uniform, bell-shaped, skewed left and skewed right.
A uniform distribution is a distribution where the data is equally distributed.
A bell-shaped distribution is a symmetric distribution where most of the data are on the center.
If most of the data are on the left side of the distribution but a few larger values are on the right, the data are said to be skewed to the right.
If most of the data are on the right, with a few smaller values showing up on the left side of the histogram, the data are skewed to the left.
Now that we have those definitions, let's analyze our distribution. Since most of the data is located at the right side, we have a skewed left distribution.
In a isosceles triangle one angle is 57° greater than each of the other two equal angles. find a measure of all three angles
Answers
An Isosceles triangle has two sides and two angles to be congruent or equal.
Let the two congruent angles be x° degrees, then the third side which is 57° greater than the congruent angles would measure (x+57°).
SKETCH
The sum of angles in a triangle is 180°. Hence,
[tex]\begin{gathered} x+x+(x+57)=180^0 \\ 3x+57=180^0 \\ 3x=180-57 \\ 3x=123 \\ x=\frac{123}{3} \\ x=41^0 \\ \therefore(x+57)=41^0+57^0=98^0 \end{gathered}[/tex]Therefore, the measure of all three angles are: 41,⁰ 41⁰, and 98⁰
Using the rule of significant figures!*Please help this one is tricky
Answers
Answer: 2
Step-by-step explanation:
223.4: 4 significant figures
7.5: 2 significant figures
when we multiply numbers with sifnificant figures, the answer will have the same number of significant figures as the measurement with the lowest number of significant figure.
In this exercise, since we have a measurent with 2 significant figures and another measurement with 4 significant figures, the result will have 2 significant figures.
PLEASE HELP ASAP 20 POINTS
Answers
The simplified form of the algebraic expressions 1, 2, 3, 4 and 5 are -2m-10, 3x + 11, 3²xy + 2z - 16, -7x - 11 and -m + 8 respectively
How to simplify algebraic expressions?An algebraic expression is defined as an expression that is made up of variables and numbers, along with algebraic operations such as addition, subtraction, etc.
Given:
1. -3+ 4m + (-7) -6m = -3 + 4m - 7 - 6m = -2m-10
2. 6x + (-1) - 3x + 12 = 6x - 1 - 3x + 12 = 3x + 11
3. 3xy + 2z - 16 + 6xy = 9xy + 2z - 16 = 3²xy + 2z - 16
4. 4x - 8+ 2x + (-3) - 5x = -4x - 8+ 2x -3 - 5x = -7x - 11
5. 3m² - m + 7 - 3m² + 1 = -m + 8
Therefore, the expressions 1,2,3,4 and 5 simplifies to -2m-10, 3x + 11, 3²xy + 2z - 16, -7x - 11 and -m + 8 respectively
Learn more about algebraic expression on:
https://brainly.com/question/4344214
#SPJ1
You roll a 6 sided die what is p 2 or less than 6
Answers
The sample space for one 6-sided die is given by
[tex]{}\lbrace1,2,3,4,5,6\rbrace[/tex]Then, the probability to get the number 2 or a number less than 6 is given by
[tex]P(2\text{ or less than 6\rparen=P\lparen2\rparen+P\lparen less than 6\rparen-P\lparen2 and less than 6\rparen}[/tex]which gives
[tex]P(2\text{ or less than 6\rparen=}\frac{1}{6}+\frac{5}{6}-\frac{1}{6}=\frac{5}{6}[/tex]that is because the probability to get a number 2 is 1/6, the probability to get a number less than 6 is 5/6 because there are 5 numbers less than 6 and the probability to get a number 2 and a number less than 6 is 1/6 because there is only one number 2.
Therefore, the answer is:
[tex]\frac{5}{6}[/tex]Solve each problem by writing an equation that matches the situationthen solve your equation to find the solution.
Answers
Question 2:
- Shakira paid $3 to rent shoes for bowling. At this point, she has spent a total of $3.
- Next, she plays bowling games each worth $4.75. This means that:
For her 1st game, she will pay $4.75
For her 2nd game, she will pay 2($4.75)
For her 3rd game, she will pay 3($4.75)
For her 4th game, she will pay 4($4.75)
And so on.
- We can see that her total cost paying for the games follows a pattern and we can therefore generalize. If Shakira plays n games, it means that:
For her nth game, she will pay n($4.75).
- Thus, the total amount that Shakira pays is the amount paid for the shoes plus the amount paid for the games.
- Thus, we can write the equation showing her total cost as follows:
[tex]\begin{gathered} \text{Total cost}=Amt\text{ paid for the shoes }+Amt\text{ paid for the games} \\ \text{Amt paid for the shoes}=3 \\ \text{Amt paid for the shoes}=4.75n \\ \\ \therefore\text{Total Cost}=4.75n+3 \\ \text{where, n is the number of games} \end{gathered}[/tex]- Since Shakira spent a total of $42, we can find the number of games (n) that she played as follows:
[tex]\begin{gathered} 42=4.75n+3 \\ \text{Subtract 3 from both sides} \\ 42-3=4.75n \\ 4.75n=39 \\ \text{Divide both sides by 4.75} \\ \frac{4.75n}{4.75}=\frac{39}{4.75} \\ \\ \therefore n=8.21 \\ \text{ Since she cannot pay a decimal number of games, we should round the number down} \\ \\ \therefore n=8 \end{gathered}[/tex]Question 3:
- In solving this question, we shall convert the information given to a mathematical equation
- Let the number of Field trips taken last year be f.
- Three times as many field trips as last year implies
[tex]3f[/tex]- Two more than three times as many field trips as last year implies
[tex]2+3f[/tex]- Cornell's class takes Two more than three times as many field trips as last year and this number of trips this year is 8.
Thus, we can say:
[tex]2+3f=8[/tex]- This means we can find the number of field trips last year f by solving the above expression.
[tex]\begin{gathered} 2+3f=8 \\ \text{Subtract 2 from both sides} \\ 3f=8-2 \\ 3f=6 \\ \text{Divide both sides by 3} \\ \frac{3f}{3}=\frac{6}{3} \\ \\ \therefore f=2 \end{gathered}[/tex]Final Answer
Question 2:
- The number of games is 8
- The equation is:
[tex]42=4.75n+3[/tex]
Question 3:
- The number of field trips from last year is 2
- The equation is:
[tex]2+3f=8[/tex]
the regular price of a high quality pair of binoculars is $600.00. This week, binoculars are on sale for 12% off. The tax rate is 3.5%. If you hand the cashier twenty-eight $20.00 bills, how much change should you receive ? show your work.
Answers
Answer:
$13.52
Explanation:
Regular Price of the binoculars = $600
Discount = 12%
Therefore, the Sale Price of the binocular will be:
[tex]\begin{gathered} (1-12\%)\text{ of 600} \\ =(1-0.12)\times600 \\ =0.88\times600 \\ =\$528 \end{gathered}[/tex]The tax rate is 3.5%.
[tex]\begin{gathered} \text{Tax}=3.5\%\text{ of \$528} \\ =0.035\times528 \\ =18.48 \end{gathered}[/tex]Therefore, the total amount to be paid will be:
[tex]\begin{gathered} =\text{Sales Price+Tax} \\ =528+18.48 \\ =546.48 \end{gathered}[/tex]If you give the cashier twenty-eight $20.00 bills, the change that you would receive will therefore be:
[tex]\begin{gathered} \text{Change}=(28\times20)-546.48 \\ =560-546.48 \\ =\$13.52 \end{gathered}[/tex]A carnival equipment manufacturer states that the circular platform of a particular merry-go-round has a circumference of 6.28 yards. What is the platform's area?
Answers
Given:
The circumference of the platform is 6.28 yards.
To find: The platform's area
Explanation:
The formula of the circumference of the circle is,
[tex]\begin{gathered} C=2\pi r \\ 6.28=2\times\frac{22}{7}\times r \\ r=6.28\times\frac{1}{2}\times\frac{7}{22} \\ =0.999 \\ \approx1yard \end{gathered}[/tex]The formula of the area of the circle is,
[tex]\begin{gathered} A=\pi r^2 \\ =\frac{22}{7}\times1\times1 \\ =3.137 \\ \approx3.14yards^2 \end{gathered}[/tex]Final answer: The platform's area is 3.14 square yards.
I need help with a math question i linked the picture below with the questions the question is also a multiple question but i have to answer one question first to get to the next question
Answers
The coefficient is the number in front of a variable
EX: 9x, 3y, -4z
9, 3, and -4 are coefficients
Constant is the numerical term
EX: 3x + 2
3 is a coefficient of x and 2 is the constant
The given expression is
[tex]m+9+6n[/tex]We have 2 variables m and n, and 1 numerical term 9, then
The coefficients are the numbers of m and n
Since the number of m is 1 and the number of n is 6, then
The coefficients are 1 and 6
The constant is the numerical term, then
The constant is 9
The error that Sara made is she did not mention the coefficient of m
The trip to and from work each day is 5 2/9 kilometers. If gina does this 5 days a week ,how many kilometers does she travel
Answers
Answer: Answer is 26.11 Kilometers
Step-by-step explanation:
First, we will convert the mixed fraction into improper fraction for easy calculation. So, the steps to convert mixed fraction to improper fraction are :-
Step 1- Multiply the denominator by the whole number
9 × 5 = 45
Step 2- Add the answer from Step 1 to the numerator
45 + 2 = 47
Step 3 - Write answer from Step 2 over the denominator
47/9
So, Mixed fraction is 47/9.
In other words, she travels 5.22 Kilometers daily.
Now, Gina travels 47/9 km daily to and from for work.
So, Kilometers travelled by her in 5 days are
47/9 * 5 = 26.11 Kilometer
To learn more about Kilometer Conversion,
https://brainly.com/question/23278617
https://brainly.com/question/21334478
1. Let a and b be integers. Prove that if a|b, then a”|6" for all positive integers n.
Answers
Solution
- a and b are integers. a | b means that integer a can divide integer b with no remainders.
- Let the Quotient of the division be k, so we can say:
[tex]\begin{gathered} a|b=k \\ \\ \text{ Put in an easier way, we have:} \\ \frac{b}{a}=k \\ \\ where, \\ k\text{ is an integer since }a\text{ directly divides b} \end{gathered}[/tex]- Now, we are asked to find
[tex]a^n|b^n[/tex]- Again, we can rewrite this as:
[tex]\frac{b^n}{a^n}[/tex]- We can rewrite this expression using the law of exponents that says:
[tex]\frac{x^m}{y^m}=(\frac{x}{y})^m[/tex]- Applying this law, we have:
[tex]\frac{b^n}{a^n}=(\frac{b}{a})^n[/tex]- But we already know that
[tex]\frac{b}{a}=k[/tex]- Thus, we have that:
[tex]\begin{gathered} \frac{b^n}{a^n}=k^n \\ \\ That\text{ is,} \\ a^n|b^n=k^n \\ for\text{ all positive integers n} \\ \\ k^n\text{ is an integer as well because }k\text{ is an integer.} \end{gathered}[/tex]- Therefore, we have successfully proved the assertion
Determine whether the given statement is true or false b ∈ {a,b,c}
Answers
ANSWER:
True
STEP-BY-STEP EXPLANATION:
The statement tells us if b belongs to the set by a, b and c.
Therefore, the statement is true, since it can be seen that b belongs to that set.
Q13.Neil bought a house for £235 000In the first year the value of the house depreciated by 4%In each of years 2 and 3 the value of the house increased by 6%Work out the value of the house at the end of year 3
Answers
Given: Neil bought a house for £235 000
In the first year the value of the house depreciated by 4%
In each of years 2 and 3, the value of the house increased by 6%.
Required: To find out the value of the house at the end of year 3.
Explanation: Since in first year the value of house depreciated by 4%,
[tex]\text{ New price}=235000-\frac{235000\times4\times1}{100}[/tex][tex]undefined[/tex]Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data can be in tabular form or in a scatter plot. Choose data that has a reasonable number of data points so you’re able to uncover trends. For the purposes of this activity, the data must not show a linear association. Describe the data you’ve identified in a sentence or two, and include a link to the data.
Answers
Here, we can observe how the human population is growing through time.
In approximately 100 years the population is twice the original population.
The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design. Which of the options would create a triangle for his design?
*
5 points
Side lengths: 4, 4, 8
Side lengths: 6, 8, 10
Side lengths: 6, 6, 13
Answers
The pair of side lengths that can create a triangle is 6, 8 , 10.
What is a triangle?A triangle is a polygon with 3 sides. The area of a triangle with base b and height h is given by A = (1/2)bh.
The given pairs of side lengths of the triangle are 4,4,8; 6,8,10; and 6,6,13.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
(1) The side lengths are 4,4,8.
Since 4 + 4 =8 is not greater than the length of the third side, 8, it won't create a triangle.
(2) The side lengths are 6,8,10.
Note that the sum of any two side lengths is greater than the length of the third side, therefore, this pair of side lengths can create a triangle.
(3) The side lengths are 6,6,13
Since 6 + 6 =12 is not greater than 13, the third side length, won't create a triangle.
Hence, the pair of side lengths that can create a triangle is 6, 8 , 10.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
Given the sizes of the three angles for the ∆ABC, please list their sides in order from smallest to largest.
1. m ∠ A=36, m ∠ B=42, m ∠ C= 102
2. m ∠ A = 53, m ∠ B = 72, m ∠ C = 55
Answers
Answer:
1. BC, AC, AB2. BC, AB, AC
Step-by-step explanation:
We know smaller side is opposite to smaller angle and the larger side is opposite to larger angle.
Considering this we have the following1. m ∠A = 36, m ∠B = 42, m ∠C = 102
Put in ascending order:
A < B < CSo the opposite sides are:
BC < AC < AB----------------------------------------------------------------------
2. m ∠A = 53, m ∠B = 72, m ∠C = 55
Put in ascending order:
A < C < BSo the opposite sides are:
BC < AB < ACUse the law of sines to prove that the sides..............
Answers
Given the triangle:
We could use the law of sines to prove that sides b and c have the same length.