Answers
5(-4) = -20 <==
Related Questions
Graph the relation shown in the table. Is the relation a function? Why or why not?
{(–3, –2), (–1, 0), (1, 0), (5, –2)}
No; the relation passes the vertical-line test.
Yes; only one range value exists for each domain value.
Yes; two domain values exist for range value –2.
No; two domain values exist for range value –2.
Answers
---------------------------------
---------------------------------
Explanation:
The inputs are x = -3, x = -1, x = 1, x = 5. They are the first coordinate listed of each point. We don't have any x values repeating so this means we have a function. Each input leads to exactly one output which is what choice B is stating. The domain is the set of allowed inputs, or x values. The range is the set of possible y outputs.
If we had something like (1,2) and (1,5) then the input x = 1 leads to more than one output (y = 2 and y = 5). This example means we don't have a function
If you graph the points (-3, -2), (-1,0), (1,0) and (5,-2) as shown in the attached image, then you'll notice that it is impossible to pass a single line through more than one point. Therefore this graph passes the vertical line test visually proving we have a function.
Going back to the example with (1,2) and (1,5), plotting these two points leads to the vertical line test failing implying we don't have a function.
For the following geometric sequence, find the recursive formula.
{-80, 20, -5, ...}
Answers
common ratio/r=-1/4
ar^(n-1), where a is the first term
substitute all the numbers in it
-80(-1/4)^(n-1)
Answer:
[tex]a_n =-\frac{1}{4} \cdot a_{n-1}[/tex]
Step-by-step explanation:
{-80, 20, -5, ...}
General recusive formula for geometric sequence is
[tex]a_n = r \cdot a_{n-1}[/tex]
Where 'r' is the common ratio
To find common ratio 'r' we divide second term by first term
[tex]r=\frac{20}{-80} =-\frac{1}{4}[/tex]
Replace 'r' with -1/4
First term is -80
Recursive formula becomes
[tex]a_n =-\frac{1}{4} \cdot a_{n-1}[/tex]
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .
Answers
To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC and use the fact that angles in a triangle add up to 180°. Angle ZAB and CAB are a linear pair, so they add up to 180°. By substitution, we can conclude that m∠ZAB = m∠ACB + m∠CBA.
Explanation:To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC. Angle ZAB is an exterior angle created by the extension of side AC. Angle ZAB and CAB are a linear pair, which means they add up to 180°. We also know that angle CAB + angle ACB + angle CBA = 180° because the angles in a triangle add up to 180°. Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we can conclude that m∠ZAB = m∠ACB + m∠CBA using the fact that the angles in a triangle add up to 180°.
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during the 2009-2010 basketball season, the number of points scored in each game by the boston celtics was approximately normally distributed with a mean of 99.2 points and a standard deviation of 10.5 pthe mean number of points scored by los angeles lakers was 101.7. in what proportion of their games did the celtics score more than the lakers' mean score?
Answers
To solve this problem, we use the z statistic. The z formula is:
z = (x – u) / s
where x is lakers score = 101.7, u is Celtics score = 99.2, s is standard dev = 10.5
z = (101.7 – 99.2) / 10.5 = 0.24
using the normal distribution table at z = 0.24, the P value is:
P (z = 0.24) = 0.5984 = 59.84%
Jenna saved $100. She wants to buy 6 games that cost $20 each. Dose Jenna have enough money? Explain.
Answers
hope this helps, God bless!
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The total amount Jenna have is only $100.
But the cost of 6 games is $120.
No, Jenna doesn't have enough money to buy 6 games.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount saved = $100
Cost of each game = $20
The cost of 6 games that cost $20:
= 20 x 6
= $120
The total amount Jenna have is only $100.
But the cost of 6 games is $120.
This means,
Jenna doesn't have enough money to buy 6 games.
Thus,
The total amount Jenna have is only $100.
But the cost of 6 games is $120.
No, Jenna doesn't have enough money to buy 6 games.
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Rational Exponent
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
Answers
When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical.
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).
Let's say we wanted to write the cubed root of x squared, in exponential form.
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2).
Therefore, it would be x^(2/3), or x to the 2 thirds power.
Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator.
Answer:
Sample Response:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
The function f(x) = x2 – 4x + 4 is shifted 3 units to the right to create g(x).
A. g(x) = (x – 3)2 – 4(x – 3) + 4
B. g(x) = (x2 – 4x + 4) – 3
C. g(x) = (x2 – 4x + 4) + 3
D. g(x) = (x + 3)2 – 4(x + 3) + 4
Answers
Answer:
answer is A for APEX..
Step-by-step explanation:
The function f(x) = [tex]x^{2} -4x+4[/tex] is shifted 3 units to the right to create
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex] .
What is shifting of a function?A shift is a rigid translation in that it does not change the shape or size of the graph of the function. All that a shift will do is change the location of the graph. A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged.
Given
f(x) = [tex]x^{2} -4x+4[/tex]
The function f(x) = x2 – 4x + 4 is shifted 3 units to the right to create g(x).
If the function is shifted to the left it is going to plus(+).
If the function is shifted to the right it is going to minus(-).
So, x = x - 3
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex]
The function f(x) = [tex]x^{2} -4x+4[/tex] is shifted 3 units to the right to create
g(x) = [tex](x-3)^{2}-4(x-3)+4[/tex] .
Option A is correct.
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Karl runs a car wash. On the Monday, he recorded a loss of $80 and recorded it as -$80. On Tuesday he earned a profit of $120. What is Karl's balance at the end of Tuesday?
Answers
Karl's balance at the end of Tuesday is a net profit of $40, after combining his loss of $80 from Monday with his profit of $120 from Tuesday.
To find Karl's balance at the end of Tuesday, we need to combine his loss from Monday with his profit from Tuesday. Karl recorded a loss of -$80 on Monday. On Tuesday, he made a profit of $120. Add the two amounts together to find Karl's total balance after these two days.
Monday: -$80
Tuesday: +$120
Combining them, -$80 (loss) + $120 (profit) equals to a net profit of $40.
Therefore, Karl's balance at the end of Tuesday is $40.
The number 1.258201... can be classified as which of the following? Select all that apply. Real, rational, irrational, whole, integer ,natural
Its a multiple choice question
Answers
The decimal does not terminate and the decimal pattern does not repeat, so the number can not be rationalized.
The number can be classified as both real and irrational
The given number:
= 1.258201
A real number is any number that can represent a distance along a line
A rational number is a real number that can be expressed in form a ratio, it usually have terminating decimals.
An irrational number is any real number that cannot be expressed in form of ratio, it doesn't have terminating or repeating decimals.
A whole number does not contain fractions, it is usually positive integers.
Integers are whole numbers that includes negative and positive numbers.
The given number is a real number but it doesn't contain terminating or repeating decimals. Hence it is irrational number.
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Randy is twice as old as his sister jane. together the sum of their ages is 15. how old is randy?
Answers
Final answer:
Randy is 10 years old.
Explanation:
The question is about solving a simple algebraic equation involving ages.
We are told Randy is twice as old as his sister Jane, and the sum of their ages is 15 years.
If we let Jane's age be represented by 'j', then Randy's age would be '2j' as he is twice as old as Jane.
The equation to represent the sum of their ages is:
j + 2j = 15
To find Jane's age, we combine the like terms:
3j = 15
Now, we divide both sides of the equation by 3 to isolate 'j':
j = 15 / 3
j = 5
Therefore, Jane is 5 years old. To find Randy's age, we multiply Jane's age by 2:
Randy's age = 2 * Jane's age
Randy's age = 2 * 5
Randy's age = 10
So, Randy is 10 years old.
Translate this equation into a real life situation. 4m = -8
Answers
The Great Foods Warehouse contains 9435 pounds of watermelons. There are 6555.569 pounds of watermelons in the Tasty Food Warehouse. How many more pounds does the Tasty Food Warehouse need to have the same amount of watermelons as the Great Food Warehouse?
Answers
Answer: 2879.431 pounds
Step-by-step explanation:
Given : The Great Foods Warehouse contains 9435 pounds of watermelons.
There are 6555.569 pounds of watermelons in the Tasty Food Warehouse.
Clearly , 9435 > 6555.569.
By using Subtraction operation, The amount of watermelon needed by Tasty Food Warehouse to have to get the same amount of watermelons as the Great Food Warehouse will be :-
9435-6555.569=2879.431 pounds
Hence, the Tasty Food Warehouse needs to have 2879.431 pounds to gwt the same amount of watermelons as the Great Food Warehouse.
What is 9,333,625 rounded to the nearest hundred thousand?
Answers
What is the slope is the x the top ordered pairs or the bottom !??? HELLPPP
Answers
Suppose you have a $8-off coupon at a fabric store. You buy fabric that costs $7.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answers
The graph would be an increasing straight line.
Please help!!!
System of Equations Applications
Bill and Cody are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of double chocolate chip cookie dough. Bill sold 9 packages of white chocolate chip cookie dough and 2 packages of double chocolate cookie dough for a total of $200. Cody sold 2 packages of white chocolate chip cookie dough and 13 packages of double chocolate chip cookie dough for a total of $283. find the cost each of one package of white chocolate chip cookie dough and one package of double chocolate chip cookie dough.
Answers
Bill sold 9 for w and 2 for b for a total of 200. So 9w + 2b = 200
Cody sold 2 for w and 13 for b for a total of 283. So 2w + 13b = 283
Lets solve by elimination.
[tex]\begin{bmatrix}9w+2b=200\\ 2w+13b=283\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}9w+2b=200\mathrm{\:by\:}2:\quad 18w+4b=400[/tex]
[tex]\mathrm{Multiply\:}2w+13b=283\mathrm{\:by\:}9:\quad 18w+117b=2547[/tex]
[tex]\begin{bmatrix}18w+4b=400\\ 18w+117b=2547\end{bmatrix}[/tex]
18w + 117b = 2547
-
18w + 4b = 400
/
113b = 2147
[tex]\begin{bmatrix}18w+4b=400\\ 113b=2147\end{bmatrix}[/tex]
[tex]113b=2147 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}113 \ \textgreater \ \frac{113b}{113}=\frac{2147}{113} \ \textgreater \ b=19[/tex]
[tex]\mathrm{For\:}18w+4b=400\mathrm{\:plug\:in\:}\ \:b=19[/tex]
[tex]18w+4\cdot \:19=400 \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:4\cdot \:19=76 [/tex]
[tex]18w+76=400 \ \textgreater \ \mathrm{Subtract\:}76\mathrm{\:from\:both\:sides} [/tex]
[tex]18w+76-76=400-76 \ \textgreater \ 18w=324 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}18[/tex]
[tex]\frac{18w}{18}=\frac{324}{18} \ \textgreater \ w=18[/tex]
Therefore the cost of the white chocolate chip cookies is $18 and the double choco is $19
Cody:. 2w+13d= $283
2(9w+2d=$200)
-9(2w+13d=$283)
18w+4d=$400
-18w-117d=-$2547
-113d= -2147
d= $19
9w+2(19)=200
9w+38=200
9w= 162
w= $18
double chocolate chip cookie dough:$19
white chocolate chip cookie dough: $18
Suppose that 4 fair dice are rolled.let m be the minimum of 4 numbers rolled.what are the possible values of m
Answers
In this case, the total value of 4 is the minimum so that means them possibilities should be 100%
If the question asks about the possible way of all dice show at least 4 number, then the answer is: 3^4−2^4= 81 * 16= 1296
|3x-2|+2y if x=-4,y=7,and z=-9
Answers
Amy has 1/2 hour to do 5 chores. She plans to spend the same fraction of an hour on each chore. She wants to use the number line to help her determine what fraction of an hour she can spend on each chore.
Answers
<-----------(5/2)----------->
Note: 5/2 is determined by multiplying (1/2)(5).
If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
A. g(x) = x + 6
B. g(x) = x
C. g(x) = 6x
D. g(x) = x – 6
Answers
Answer:
Option D is correct
[tex]g(x) = x-6[/tex]
Step-by-step explanation:
Vertically down :
If y =f(x) is a parent function, then the new function g(x) b units vertically down is, g(x) = f(x) -b.
As per the statement:
Given the parent function:
[tex]f(x) = x[/tex]
To shift linear parent function vertically down 6 units.
By definition we have;
g(x) = f(x) -6
⇒[tex]g(x) = x-6[/tex]
Therefore, the equation of new function g(x) is, [tex]g(x) = x-6[/tex]
50 POINTS! + BRAINLIEST! PLEASE HELP
Answers
slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
Answer: yes it is
Step-by-step explanation: put into a graph and it will become clear
The sides of a triangle are in the ratio 5:12:13. Describe the length of the shortest side is the perimeter is not more than 120 inches
Answers
Then <= 120 yields 4 times this triple, yielding another triple of 20,48,52
I only just started learning Algebra, and my teacher just threw all these worksheets at us without explaining much. Can someone please explain the concept of Algebra? Staring with this question, please:
Answers
2x - 3x = 3 + 5
-x = 8
x = -8
Answer:
x = -8
Step-by-step explanation:
Hello!
Algebra is based on the concept of unknown values called variables, the value of each variable must remain the same in each problem.
Here are steps to solve your problem!
1. Pull out like terms:
-x - 8 = -1 • (x + 8)
2. Solve -x-8 = 0
Add 8 to both sides of the equation:
-x = 8
Multiply both sides of the equation by (-1)
x = -8
Therefore, x = -8
Hope this Helps!
Graph each equation by using the x- and y-intercepts
Answers
x intercept = -3 which is the point (-3,0)
y intercept = -3 which is the point (0,-3)
Nice job on getting the correct graph with the correct points.
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the graph. Which statements are true about the cost of the apples?
Which statements are true about the cost of the apples?
Select each correct answer
1 lb of apples will cost Zack $2.50.
10 lb of apples will cost Zack t $4.
4 lb of apples will cost Zack $10.
2.5 lb of apples will cost Zack $1.
Answers
Answer:
1 lb of apples will cost Zack $2.504 lb of apples will cost Zack $10Step-by-step explanation:
The graph axesand common sense tell you that each ordered pair represents ...
(weight, cost)
So the ordered pairs (1, 2.50) and (4, 10) mean ...
1 lb of apples will cost Zack $2.50
4 lb of apples will cost Zack $10
A and C should be the correct answers if I'm not mistaken
Solve the following system of equations.
x − 2y = 5
−3x + 2y = 7
A. x = 3, y = −1
B. x = 11, y = 11/2
C. x = 3, y = 1
D. x = −6, y = -11/2
Answers
Let me help you out real quick.
x - 2y = 5
-3x + 2y = 7
We need to solve x - 2y =5 for x
x - 2y = 5
x = 5 + 2y
Now substitute 2y + 5 for x in -3x + 2y = 7
-3x + 2y = 7
-3(2y + 5) + 2y = 7
-6y - 15 + 2y = 7
-4y - 15 = 7
-4y = 7 + 15
-4y = 22
y = 22/-4
y = -11/2
Now we need to substitute -11/2 for y in x= 2y + 5
x = 2y + 5
x = 2(-11/2) + 5
x = -22/2 + 5
x = -6
Thus,
The answer is x = -6 and y = -11/2
The correct answer is option D
Good luck with your studies :)
You got it!
Find the y-intercept of the line whose equation is 2x - 3y = -6.
Answers
to find y intercept, make x = 0 then solve equation:
2x-3y=-6
2(0) - 3y=-6
-3y =-6
y = -6 / -3
y=2
so y intercept is (0,2)
a ride at an amusement park rises 8 feet every horizontal change of 2 feet. how could you determine the slope of the ride?
Answers
Jordan makes 100 3-point shots per basketball practice. She makes 44 of these shots. What decimal represents the number of the shots she made?
Answers
0.44 is the answer
this is because she took 100 shots and made 44 of them in. the three doesn't matter because they never asked for the amount of points.
The expression below represents the number of bacteria in a petri dish after t hours.
Interpret the meaning of the expression.
A. The initial number of bacteria is 57, and the growth rate is 3.1% per hour.
B. The initial number of bacteria is 57, and the growth rate is 31% per hour.
C. The initial number of bacteria is 131, and the growth rate is 5.7% per hour.
D. The initial number of bacteria is 131, and the growth rate is 57% per hour.
Answers
Solving this problem requires the supplement of the actual expression. However I believe you forgot to include it with the question.
However I believe that the expression is in the form of:
y = A e^(-k t)
where,
y is the number of bacteria after time t
A is a constant and represents the initial number of bacteria
k is the growth rate in decimal form
t is time
So whatever is located in A is the initial number of bacteria, while k times 100% is the growth rate.
Answer:
A
Step-by-step explanation: