Answer:
0.498 on edg
Step-by-step explanation:
Which graph represents the solution set of the system of inequalities?
{3y≥x−9
3x+y>−3
the solid line passes through (0,-3) and (0,9)
dotted line passes through (0,-3) and (0,-1)
see attached sketch
Answer:
The image shows the solution for the given inequalities.
Step-by-step explanation:
We are given the following information in the question:
[tex]3y \geq x-9\\3x+y>-3[/tex]
We have to plot the solution for the given inequality.
The image attached shows the solution to the given inequalities.
The red shaded portion is the solution to the first inequality and the blue shaded region is the solution for the second inequality.
The common shaded portion is the solution common to both the inequalities.
The dotted blue line is not a part of the solution for both the inequality.
I can't figure this out I need helppp!!!!
What is the justification for each step in the solution of the equation 3(2x + 7) - 4 = 53 - 3x?
Step 1: 3(2x + 7) - 4 = 53 - 3x
Step 2: 6x + 21 - 4 = 53 - 3x
Step 3: 6x + 17 = 53 - 3x
Step 4: 9x + 17 = 53
Step 5: 9x = 36
Step 6: x = 4
Final answer:
The equation 3(2x + 7) - 4 = 53 - 3x is solved through algebraic processes: distributing, combining like terms, transposing terms, isolating the variable, and dividing to solve for x, resulting in the solution x=4.
Explanation:
The justification for each step in solving the equation 3(2x + 7) - 4 = 53 - 3x involves algebraic manipulation:
Distribute the 3 into the parenthesis: 3(2x) + 3(7) - 4 = 53 - 3x becomes 6x + 21 - 4 = 53 - 3x.Combine like terms on the left side: 6x + 17 = 53 - 3x.Add 3x to both sides to get all x terms on one side: 9x + 17 = 53.Subtract 17 from both sides to isolate the term with x: 9x = 36.Divide both sides by 9 to solve for x: x = 4.Each step is justified by the rules of algebra which allow us to simplify and rearrange equations to isolate the variable. The final step gives us the solution x = 4.
how do you do number 10?
You review a lease for a new apartment. The lease requires you pay the first month's rent, last month's rent and a security deposit of one month's rent, at the time of signing. The monthly rent is $500. How much will you need at the time of signing?
How do I use the graph of the function to find the domain and range of f.
Grandpa schmidt is 75 years old. this is 9 years less than seven times the age of junior schmidt. how old is junior
A spinner has 4 equally-sized sections, labeled A, B, C, and D. It is spun and a fair coin is tossed. What is the denominator of the simplified fraction representing the probability of spinning “C” and flipping “heads”? P(spinning C and flipping heads) =
Answer:
1/8
Step-by-step explanation:
If the hypotenuse is 41 inches and one of the legs is 40 inches, what is the lengh of the other eleg in inches
A probability distribution for all possible values of a sample statistic is known as a _____.
Answer:
Sampling Distribution
Step-by-step explanation:
A sample is a portion of the population chosen randomly or with certain techniques.
A statistic is a property of sample that describes the sample
Sampling distribution of statistic is a collection of all possible values of statistics for samples taken from the population. To be more precise it is probability distribution of all the outcomes of statistics of samples from the population.
Sample distribution of mean:
It can be defined as the probability distribution of all the feasible or possible means of samples of same size size taken from the population.
Which statement best describes how to determine whether f(x)=9-4x^2 is an odd function
Plz help! True or False. The response variable is plotted along the y-axis.
If the slope and a point of a line are given, then the equation of the line can be written in point-slope form.
True
False
Which regular polygon can be used to form a tessellation?
octagon
decagon
triangle
nonagon
The regular polygon that could be used for tessellation is:
Triangle.
Step-by-step explanation:Tessellation is a geometry that is formed by a repeating pattern of same shape without any gaps.
We can use only three regular polygon for the formation of Tessellation:
1) Equilateral Triangle
2) Square
3) Regular Hexagon.
Hence, from the given option the regular polygon that can be used to form a tessellation is:
Triangle.
Evaluate the expression when x = -15
-4x -11
A. -71
B. -49
C. 49
D. 71
Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?
Darryl has $5 left in his pocket. He spent $16 on a book, $20 on a compact disc, and $2 on a magazine. How much money did he have at the beginning of the day?
Darryl had $43 at the beginning of the day.
Let's denote the initial amount of money Darryl had as [tex]\( M \)[/tex].
He spent $16 on a book, which we can denote as [tex]\( S_{book} = \$16 \)[/tex].
He spent $20 on a compact disc, which we can denote as [tex]\( S_{CD} = \$20 \)[/tex].
He spent $2 on a magazine, which we can denote as [tex]\( S_{magazine} = \$2 \)[/tex].
He has $5 left at the end of the day, which we can denote as [tex]\( L = \$5 \)[/tex].
The total amount spent, [tex]\( S_{total} \)[/tex], is the sum of the amounts spent on the book, the compact disc, and the magazine:
[tex]\[ S_{total} = S_{book} + S_{CD} + S_{magazine} \][/tex]
[tex]\[ S_{total} = \$16 + \$20 + \$2 \][/tex]
[tex]\[ S_{total} = \$38 \][/tex]
The initial amount of money Darryl had, [tex]\( M \)[/tex], is the sum of the total amount spent and the amount left:
[tex]\[ M = S_{total} + L \][/tex]
[tex]\[ M = \$38 + \$5 \][/tex]
[tex]\[ M = \$43 \][/tex]
By graphing the system of constraints, find the values of x and y that maximize the objective function. 25<=x<=75 y<=110 8x+6y=>720 y=>0 minimum for c=8x+5y a. c=100 b. c=225 2/3 c. c=633 1/3 d. c=86 2/3
Solve 3c − 5f = 55 for f. Show your work.
[tex]\(f = \frac{3c - 55}{5}\)[/tex] is the solution for the given expression.
To solve the equation 3c - 5f = 55 for f, you need to isolate the variable f by performing a series of mathematical operations. Let's go step by step:
Start with the equation:
3c - 5f = 55
Add 5f to both sides to move the term involving f to one side of the equation:
3c = 5f + 55
Subtract 55 from both sides to isolate the term with f:
3c - 55 = 5f
Now, divide both sides by 5 to solve for f:
(3c - 55) / 5 = f
f = (3c - 55) / 5
So, [tex]\(f = \frac{3c - 55}{5}\)[/tex] is the solution for (f).
can somebody help me with these please ☺
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. the probability of a player weighing less than 250 pounds is closest to:
Using the normal distribution, it is found that there is a 0.9772 = 97.72% probability of a player weighing less than 250 pounds.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of [tex]\mu = 200[/tex].The standard deviation is of [tex]\sigma = 25[/tex].The probability of a player weighing less than 250 pounds is the p-value of Z when X = 250, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{250 - 200}{25}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
0.9772 = 97.72% probability of a player weighing less than 250 pounds.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is the simplified form of the following expression? 7[6^2÷(5^2-4^2 )+8]
&
(3/4)^3
Can somebody help me with this?
the base is 12 the height is 17. and the apothem is 10 inches they are all inches. Triangular pyramid volume
What is gk can someone solve for gk
Answer:
7
Step-by-step explanation:
12 on the bottom right is 1 up the 11 on the bottom left, so 7 must be the right answer.
A cyclist rides his bike at a rate of
11
feet per second. What is this rate in miles per hour? How many miles will the cyclist travel in
3
hours? In your computations, use the fact that
1
mile is equal to
5280
feet. Do not round your answers.
if (2x-3) and (x+5) are multiplied to form the trinomial ax^2 +bx+c, what is the value of b
After using the trinomial The required value of b is 7.
What is a trinomial?
An algebraic expression with three terms is called a trinomial. One or more terms in an algebraic expression each have variables and constants. These expressions use separators like +, -,, and that are symbols or operations. This algebraic expression encompasses polynomials, monomials, binomials, and trinomials. An algebraic expression that is created by squaring a binomial expression is known as a perfect square trinomial. It takes the shape of ax2 + bx + c. Real numbers a, b, and c are present here, and a 0. Take the binomial (x + 2), for instance, and multiply it by (x + 2). The outcome is equal to x2 + 4x + 4.
Given, [tex](2x-3)[/tex] and [tex](x+5)[/tex] are multiplied [tex]= (2x-3)(x+5)[/tex]
[tex]= 2x(x+5) -3(x+5)[/tex]
[tex]= 2x^{2} +10x -3x-15\\= 2x^{2} +7x-15[/tex]
Now, comparing the calculated expression [tex]2x^{2} +7x-15[/tex] with the given equation [tex]ax^{2} +bx+c[/tex] , then we get, [tex]b=7[/tex]
Therefore, the required value [tex]b[/tex] is 7.
To learn more about trinomials
https://brainly.com/question/21832198
#SPJ2
How many solutions are ther to this equation.
The sum of two consecutive odd integers is 24. find the integers. which equation can be used to find the first integer n
The rule (x, y)→(x+2, y−4) represents a translation 2 units ______
left
right
up
down
and 4 units _______
left
right
up
down
The rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units down.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The rule (x, y)→(x+2, y−4)
As we know, when we go right side of the x-axis we add to the x-coordinate, and when we go left side of the x-axis we subtract to the x-coordinate.
The rule (x, y)→(x+2, y−4) represents a translation of 2 units right.
When we go upside of the y-axis we add to the y-coordinate, and when we go down the side of the y-axis we subtract to the y-coordinate.
The rule (x, y)→(x+2, y−4) represents a translation 4 units down.
Thus, the rule (x, y)→(x+2, y−4) represents a translation of 2 units right and 4 units down.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ5