Answer:
A) The graph of function g(x) is V-shaped and has the following properties:
The vertex is (-3, 0)The axis of symmetry is x = -3The domain is the set of all real numbers: (-∞, ∞)The range is [0, ∞)B) Translation of 2 units down.
Therefore:
The vertex is (0, -2)The range is [-2, ∞)Step-by-step explanation:
The absolute value parent function, f(x) = |x|, is defined as:
[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]
Therefore:
The slope of the line where x > 0 is positive.The slope of the line where x < 0 is negative.Its graph is V-shaped and has the following properties:
The x-intercept and y-intercept are at the origin (0, 0).The vertex is at the origin (0, 0).The axis of symmetry is x = 0 (y-axis).The domain is the set of all real numbers: (-∞, ∞).The range is the set of all real numbers greater than or equal to 0: [0, ∞).Part AGiven absolute value function:
[tex]g(x)=|x+3|[/tex]
The graph of function g(x) is the parent function f(x) translated 3 units to the left.
As the graph has only been translated horizontally, the domain and range are the same as the parent function.
Therefore, the graph of function g(x) has:
Vertex = (-3, 0)Domain = (-∞, ∞)Range = [0, ∞)Part BGiven absolute value functions:
[tex]f(x)=|x|[/tex]
[tex]h(x)=|x|-2[/tex]
The graph of function h(x) is the parent function f(x) translated 2 units down.
As the graph has been translated vertically, the domain is the same as the parent function, but the vertex and range are different.
The y-value of the vertex of h(x) is 2 less than f(x).A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46. For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $20. Find the cost for each pound of jelly beans and each pound of almonds.
Answer:
jelly beans: $1.75 per poundalmonds: $3.75 per poundStep-by-step explanation:
You want to know the prices of jelly beans and almonds when you can buy 7 pounds of jelly beans and 9 pounds of almonds for $46, or 5 pounds of jelly beans and 3 pounds of almonds for $20.
EquationsThe equations describing each purchase can be written as ...
7j +9a = 465j +3a = 20SolutionA graphing calculator plots these equations easily, and shows you the solution is (j, a) = (1.75, 3.75).
Jelly beans are $1.75 per pound; almonds are $3.75 per pound.
EliminationIf you like, you can solve these equations by elimination. We notice the coefficients of 'a' have a simple ratio, so we can eliminate 'a' easily.
3(5j +3a) -(7j +9a) = 3(20) -(46) . . . . . subtract the first from 3 times the second
8j = 14 . . . . . simplify
j = 1.75 . . . . . divide by 8
Substituting into the second equation, we get ...
5(1.75) +3a = 20
3a = 11.25 . . . . . . . . . subtract 8.75
a = 3.75 . . . . . . . . divide by 3
Jelly beans are $1.75 per pound; almonds are $3.75 per pound.
If five standard (six-sided) dice are tossed onto the table, what is the probability that
a. all of them will show an odd number on top?
b. no aces or deuces (that means ones or twos) will show on top?
C. the five dice will show five different values on top?
If Five standard (six-sided) dice are rolled, one at a time. What is the probability that
a. the first two dice show aces, and the next three do not?
b. two of the five dice show aces, and the other three do not?
The probability of getting a specific number on the first roll of the die is 1/6. The probability of getting that same number on five successive rolls is (1/6)^5 = 1/7776. Because there are six different ways to get the same number on five rolls, multiply by 6 to get the probability of the same number on five successive rolls to be 6/7776 =1/1296.
Determining the probability that all five rolls will be different starts with asking how many ways can you choose 5 numbers from six with replacement and without repetition where order does not matter, then dividing that number by the total number of outcomes in five rolls of the die.
The total number of possible rolls is easy. There are six possible outcomes for each of the five rolls, so the total number of possible combinations after 5 rolls is 6^5 = 7776.
Now if each roll has to be a different number, consider that there are six acceptable outcomes on the first roll of the die. There are only five acceptable outcomes on the second roll, four on the third, three on the fourth, and two on the fifth. Multiplying all these together gives 6x5x4x3x2 = 6! = 720 ways to get a different number on five successive rolls of the die. This probability is 720/7776 ( 0.0926 or 9.26% or 120 times greater than getting the same number on each of five rolls.
Consider a game in which six true dice are rolled. What is the probability of obtaining exactly one ace, at least one ace and exactly two aces?
Exactly 1 ace(one) =6C1 * 5^5 = 18750 / 6^6 = 0.401877572
At Least 1 ace(one) =6C1 *5^5 +6C2 * 5^4 + 6C3 * 5^3......6C6 * 5^0= 31031/6^6 = 0.6651020233
Exactly 2 aces(ones) =6C2 * 5^4 = 9375 / 6^6 = 0.200938786
If you require two specific times(e.g. first time and second time) to be 5(probability 1/6), others to be non-5(probability 1−1/6=5/6). The probabiliy is (1/6)2(5/6)3, you have C52=10 different ways to roll two 5. Therefore the answer is 10(1/6)2(5/6)3, which is approximately 0.1608.
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Part A: In two or more sentences, explain what a variable expense is and provide at least two examples.
Part B: In two or more sentences, explain what a fixed expense is and provide at least two examples.
An essential part of a business' operations is its fixed and variable expenses.
What is fixed expense?It is an expenditure that does not fluctuate, or rather, does not alter over time.
An illustration of a fixed expense is:
1. Mortgage,
2. Rent payments,
3. Utility bills etc
Let see about Variable expense:
It is a cost that typically varies based on how the business uses the goods or services.
Examples of variable costs are as follows:
1. Sales commissions
2. Direct labor costs
3. Cost of raw materials etc
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Which can be represented by the expression 5+3(x-6)
O6 less than 3 times the sum of a number and 5
O the sum of 5 and 3 times the difference of a numbe
Othe cube of the sum of a number and 3 less than 5
the difference between 5 and the cube of the difference of a number and 6
Correct answer of the expression 5+3(x+6) is the sum of 5 and 3 times the difference of a number by 6
what is expression?A finite collection of symbols that are well-formed in mathematics according to context-dependent principles is called an expression or mathematical expression.
given
the expression 5+3(x+6)
it is concluded from the expression 5+3(x+6) that the sum of 5 and 3 times the difference of the number which is x by 6
so the correct answer of the expression 5+3(x+6) is the sum of 5 and 3 times the difference of a number by 6
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solve for x using cross multiplication x+2/4=x+5/5
Answer:
There are no solutions
Step-by-step explanation:
x + 2/4 = x + 5/5
x + 1/2 = x + 1
1/2 = 1 or 0.5 = 1
or
x + 2/4 = x + 5/5
x + 1/2 = x + 1
0 = 1/2 or 0 = 0.5
At a busy street corner in a large city, right at the morning rush hour, a psychologist counted the number of people waiting for the light to change. A confederate dressed as a homeless man crossed the street against the light. The psychologist counted the number of people who followed him. Whern the next group collected to wait for the light to change, another confederate, dressed as a well-to-do businessman, crossed the street against the light, and the psychologist counted the number of people who followed him. Analyze the data, X2, Write the conclusions and answer the question below Followed Did Not Follow Homeless Man 3 15 Businessman 8 7 What can the psychologist say about the influence of appearance on whether or not a person takes risks?
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
What do hypotheses and null hypotheses mean?Using a statistical test, researchers compare the evidence supporting the null and alternative hypotheses, which are two conflicting claims: There is no population impact, or null hypothesis (H0). There is a population effect, or alternative hypothesis (Ha or H1).
Here,
Procedure for the Mega Stat Excel add-in:
The first step is to choose Add-Ins > Mega Stat > Chi-square/Crosstab > Contingency Table in EXCEL.
Step 2: Select the cell range A1:C3 in the input range box.
Step 3. Pick chi-square under Output Options. Click OK in Step 4.
Mega Stat output from the Excel add-in
Test for Independence Using a Chi-Square Contingency Table
Total Number of Followed Did Not Follow
Homeless Man 3 15 18
Businessman 8 7 15
Total 11 22 33
4.95 chi-square
1 df
.0261 p-value
Consequently, the p-value is 0.0261.
Decide on a significance threshold of 0.05.
The p-value in this instance, which is lower than the value of a = 0.05, is 0.0261. In other words, the p-value was (=0.0261) (=0.05).
Reject the null hypothesis in light of the rejection rule. [tex]H_{0}[/tex]
Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.
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Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])
After solving the equations, the value obtained for x and y will be equal to (-1, 1).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
y = 2x + 3 (i)
y = -x (ii)
Substitute equation (ii) in (i)
-x = 2x + 3
-x - 2x = 3
-3x = 3
x = -3/3
x = -1
Substitute x = -1 in equation (i)
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
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How to graph -1/2x-2/3y=3/4
Answer:
To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = MX + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.
Step-by-step explanation:
I NEED HELP ASAP!!! Martina and Sabrina created a number pattern that began with the number 0.
• Martina used the rule “Add 2.”
• Sabrina used the rule “Add 6.”
Which statement is true about each corresponding pair of numbers in the two patterns?
Responses
A Each number in Sabrina’s pattern is 4 more than the corresponding number in Martina’s pattern.Each number in Sabrina’s pattern is 4 more than the corresponding number in Martina’s pattern.
B Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern.
C Each number in Sabrina’s pattern is 4 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 4 times the corresponding number in Martina’s pattern.
D Each number in Sabrina’s pattern is 4 less than the corresponding number in Martina’s pattern.
The correct statement is "each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern."
What is a statement?
A statement in mathematics is a declarative utterance that can only be either true or false. A proposal is another name for a statement. It's important that there be no ambiguity. A sentence can only be true or untrue and not both for it to be a statement.
Given that:
Martina used the rule “Add 2.”
Sabrina used the rule “Add 6.”
The rule that Martina is follow is
M(n) = starting number + 2n
M(n) = 0 + 2n
M(n) = 2n
The rule that Sabrina is follow is
S(n) = starting number + 6n
S(n) = 0 + 6n
S(n) = 6n
S(n) = 3 × 2n
S(n) = 3 × S(n)
Thus Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern. Each number in Sabrina’s pattern is 3 times the corresponding number in Martina’s pattern.
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John Carlo takes a car to a little business to borrow some money, John Carlo is given 3,400.00.00. He must pay back the $3,400.00 in addition to a $1,000.00 fee in 4 months.
What is the simple interest rate is he being charged?
Answer:
Step-by-step explanation:
simple interest I = Prt
I = $1,000 = 3,400r (4/12)
⇒ 3,400r (4/12) = 1,000
⇒ 3400r = 333.333
⇒ r = 0.098
≈ 9.80 %
Solve for pressure #2 using Bernoullis equation
What is the definition of Bernoulli's principle?
In fluid dynamics, Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in static pressure or a decrease in the fluid's potential energy.
p+12ρ v2+ρgh=konstant Bernoulli equation(1)
Two states on a streamline are thus linked by the following equation:
p1+12ρv21+ρgh1=p2+12ρv22+ρgh2p1+12ρv21=p2+12ρv22p2=p1+12ρv21−12ρv2
Due to the constriction of the cross-section to only half the size, the flow speed is doubled. All known values can now be put in equation (5). Note that the pressure is to be used in the basic unit N/m² and the density in the unit kg/m³.
p2=p1+12ρv21−12ρv22p2=4⋅105Nm²+121000kgm³ (4ms)2–121000kgm³ (8ms)2=3.76⋅105Nm²p2=3.76 bar
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Four students are getting ready for a running competition. They each set a goal to run
a certain number of laps in the week before the competition.
Ivory's goal is to run 50
laps. They ran 35 laps. What percent of their goal is this?
Answer: 70%
Step-by-step explanation: To find the percent of their goal that Ivory ran, divide the number of laps they ran by their goal and multiply by 100. In this case, Ivory ran 35 / 50 * 100 = 70% of their goal.
Estimate y when x = 8 from the best fitted straight line y = 13.06 + 0.6x.
Answer:
y = 17.86
Step-by-step explanation:
y = 13.06 + .6x Substitute in 8 for x
y = 13.06 + .6(8)
y = 13.06 + 4.8
y = 17.86
Write a rule that transforms ABC into A'B'C'
Answer:
(x - 5, y - 1)
Step-by-step explanation:
The x value tells how many units to move right or left. Right would be adding to x and left would be subtracting from x.
The figure is moved 5 spaces left that would be a rule of x -5.
The y value tells how many units to move up or down. Up would be addition and down would be subtraction. In this case, we are moving the figure down one unit so the rule would be y - 1
186283 miles every second is how many feet per hour
Step-by-step explanation:
To convert 186283 miles per second to feet per hour, we need to first convert the distance from miles to feet. There are 5280 feet in a mile, so 186283 miles is equal to 186283 * 5280 = 9,839,784,000 feet.
We also need to convert the time from seconds to hours. There are 3600 seconds in an hour, so 186283 seconds is equal to 186283 / 3600 = 51.8 hours.
Therefore, 186283 miles per second is equal to 9,839,784,000 feet per 51.8 hours, or approximately 188,822,900 feet per hour. This is the final answer.
Solve the following equation for b. You may assume all variables are positive
so do not use or absolute values.
m = 4fb²-g²
Answer:
b = √(m+g²)/4f
Step-by-step explanation:
The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Select two options.
The graph is continuous.
All values of t must be positive.
A viable solution is (-2,38)
A viable solution is (0.5, 40.5)
A viable solution is (10,50)
The two true options are A and D
The two options that are true about the graph that represents this real-world scenario are;
All the t values must be positive, and a viable solution is (10, 50). Hence, the correct option for this question is A and D.
Plotting the data in the graph is advantageous because it gives a visual presentation of the data and makes it easy to observe and forecast the large data set in a short time.
In the case of this question, the temperature is directly reliant on the c number of cricket chirps heard in 14 seconds. Therefore, if all the c values must be positive integers, the values of t must also be positive numbers.
t = c + 40
Because 10 is a positive integer, it is a possible c value
If c = 10
t = 40 + 10
t = 50
A viable solution (10, 50) represents the values of c and t, respectively, to predict the data more accurately and with validity.
Therefore, the correct option for this question is A and D.
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Find the equation that matches the following table.
X Y
-3 4
0 2
3 0
Answer:
In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.
form of liner function : y= ax+b
step 1. finding the slope
[tex]a = \frac{y1 - y2}{x1 - x2} [/tex]
for example I'll put (-3,4) and (0,2) to this formula,
the slope would be -2/3
step2. finding the b
put a desire point of x,y table for example (3,0)
0 = -2/3 × 3 + b
b would be 2
so the equation is y= -2/3x + 2
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50. Determine how many miles it is to the airport.
Using the linear function y = 0.6x + 1.5, he drove 20 miles to be charged $13.50
Linear FunctionThe parent linear function is f(x) = x, which is a line passing through the origin. In general, a linear function equation is f(x) = mx + c
where m is the slope of the equation and c is the y - intercept.
To solve this problem, we have to write an equation that models y = mx + c
c = constant = service charge = 1.50m = slope = 0.60The linear function to model this is given as;
y = 0.6x + 1.5
Assuming a trip cost 13.50, the number of miles can be calculated as;
13.50 = 0.6x + 1.5
0.6x = 13.50 - 1.5
0.6x = 12
x = 12/0.6
x = 20
The drove 20 miles
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Solve 7x-6y=17 for y.
The value of y in the linear equation 7x - 6y = 17 is y = -(17 + 7x)/6
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
In this problem, we are to solve for y.
7x - 6y = 17
Step 1
Take 7x to the right hand side of the equation
-6y = 17 - 7x
Step 2
Divide both sides by the coefficient of y
-6y / -6 = (17 - 7x) / - 6
y = - (17 + 7x) / 6
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What is the slope of a line parallel to the line
3x - 2y = 8?
Answer:
looooookkkk att the picture
If x)=x+7 and 9(x)=x-13.
The answer is that, save from 13, all real numbers fall into the domain of (fog)(x).
So, {x|x≠13} option 4 is correct.
What is meant by domain?A function's domain is the collection of all potential inputs. For instance, all real numbers are in the domain of f(x)=x², and all real numbers are in the domain of g(x)=1/x, with the exception of x=0.
Let y = f(x) be a function where x and y are the independent and dependent variables. If a function f offers a means of successfully generating a single value y while using a value for x to that end, then that selected x-value is said to belong to the domain of f.
The result of multiplying the expression for f(x) by the expression for g(x) is (x + 7)(1/x-13).
This can be expressed much more clearly as (x + 7) (x – 13)
All real numbers, with the exception of 13, can be used to replace x in the expression in this condensed form. This is due to the fact that if we substitute 13 for x, our denominator will be equal to 0, making our formula illogical.
The answer is that, save from 13, all real numbers fall into the domain of (fog)(x).
So, {x|x≠13}
Therefore, option 4 is correct.
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I’m so lost someone help!
Answer:
Cubic, Binomial
Step-by-step explanation:
A cubic function is when the degree of the polynomial is 3
The degree is the highest power
A binomial has 2 terms
So 8x^3-1 is a binomial and is cubic
Match each expression on the left with its quotient. Use number sense and estimation to help.
5.85 or 36 or 9.4 or 21.5
40.42 ÷ 4.3 ( Drag Here )
15.48 ÷ 0.72 ( Drag Here )
86.4 ÷ 2.4 ( Drag Here )
50.31 ÷ 8.6 ( Drag Here )
Answer:
40.42 ÷ 4.3 = 9.4
15.48 ÷ 0.72 = 21.5
86.4 ÷ 2.4 = 36
50.31 ÷ 8.6 = 5.85
Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
Answer:Th numbers between the bars represents:
A) The age classes, in 5-year ranges
Explanation:The age classes are indicated by the numbers between the bars, while the numbers within the bars show the popularity of each age group in millions.
Typically, a population pyramid like the one below does not display the number of births that occurred in a single year. However, by looking at the year the population pyramid was developed and deducting from it the corresponding ages shown in the pyramid, one can estimate this information.
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complete question:
Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?
a) the age classes, in 5-year ranges
b) the number of people born in a particular year
c) the total population(in Million) of males and females
d) the percentage of the population in each age class.
Construct a venn diagram illustrating the sets below. U = {1,2,3,4,5,6,7,8,9} Y={1,3,4,6,7} Z={1,5,7}
Answer:
Step-by-step explanation:
Here is a Venn diagram illustrating the sets U, Y, and Z:
Y
_____|_____
| |
| |
| |
| |
Z | U |
| |
| |
| |
|_____ _|
|__ _|
Z
In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.
G(x) = 4x - 5, find g(3)
To find the value of g(3), we need to substitute the value 3 into the expression for G(x) in place of x and then evaluate the resulting expression. Since G(x) = 4x - 5, we can substitute 3 for x to get G(3) = 4 * 3 - 5 = 12 - 5 = 7. Therefore, g(3) = 7.
help pls will give branliiest if you explain
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (11, - 17) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = [tex]\frac{1-(-17)}{2-11}[/tex] = [tex]\frac{1+17}{-9}[/tex] = [tex]\frac{18}{-9}[/tex] = - 2
Can I have some days free because I really am struggling with math these days and I have no money
Please
God loves you
Graph the solution to the following system of inequalities.
y≤2x+3
y> -3x+5
The solution to the inequality is (0.4.3.8). The graph of the inequalities is attached with the answer.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given inequalities are.
y≤2x+3
y> -3x+5
When we plot the graph of the inequalities on the x-y axis the two lines intersect at the point (0.4,3.8). The graph is attached with the answer below.
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