Answer:
sample answer: If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4
Step-by-step explanation:
The situation is a representation of the linear function.
What is meant by linear function?A linear function is one that, when graphed, produces a straight line. Thus, non-linear functions are any non-linear functions. Although graphing is the quickest way to determine whether a function is linear or non-linear, we can also determine linearity from its input/output table or equation. A straight line on the coordinate plane is represented by a linear function. For example, y = 3x - 2 denotes a straight line on a coordinate plane and, as such, a linear function.Given that,
One dollar is divided into four quarters.
The total number of dollars is a function of the number of quarters.
Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value
As a result, the slope should be 1/4.
y = 1/4x should be the linear function.
Hence, As a result, we can conclude that the situation is a linear function.
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What is the inverse of the function g(x)=5(x-2)
Answer:
[tex]\frac{x-2}{5}[/tex]
Step-by-step explanation:
The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function is calculated as:-
y = 5 ( x - 2 )
Replace the variables with each other in the equation.
x = 5 ( y - 2 )
( x/5 ) = y - 2
y = ( x/5 ) + 2
Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].
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Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will
an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the
price increase goes into effect
Answer:
Step-by-step explanation:
We don't know the first price?
Find the total earnings based on the given information.
Base: $22,000, Total Sales: $99,000, Commission: 3%
Enter the correct answer in the box.
Answer:
$24,970
Step-by-step explanation:
22,000+(99,000•0.03)=22,000+2,970=24,970
Find the sum to infinity of the infinite G.P.
1-½+¼........
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The sum to infinity of a GP is
[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1
where a is the first term and r the common ratio
Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus
[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]
Answer:
2/3
Step-by-step explanation:
1-1/2+1/4.....
[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.
Answer:217
Step-by-step explanation:
Write and solve the equation and then check your answer.
The difference between a number and four hundred forty is five hundred eighty-five.
Complete the statements.
The equation that correctly models the problem is
To undo what has been done to the variable,
both sides of the equation.
The solution of the equation is
Check the solution by substituting for the variable and simplifying.
1)Intro
Answer:the first one is n-440=585
The second one is add 440 to
The third one is n = 1025
The last one is 1025
Step-by-step explanation: got this all right on edge
Answer:
The equation that correctly models the problem is
✔ n – 440 = 585
.
To undo what has been done to the variable,
✔ add 440 to
both sides of the equation.
The solution of the equation is
✔ n = 1025
.
Check the solution by substituting
✔ 1025
for the variable and simplifying.
the slope of the line...................
Answer:
Y=0/0
Step-by-step explanation: since their is no fall or rise in the slope it is 0
are irrational numbers intergers
Answer:
No they are not intergers
Step-by-step explanation:
Hope this helps
-66 = -9n + 16n + 4
Solve these step by step pls
Answer:
n= -10
Step-by-step explanation:
-66=7n+4
-7n=4+66
-7n=70
n=70/-7
n= -10
Answer:
n = -10
Step-by-step explanation:
-66 = -9n + 16n + 4
1. I started by subtracting 4 on both sides of the equation this gives you -70 = -9n + 16n
2. I then combined the like terms 16n and -9n on the right side of the equation. We do this by subtracting 9n from 16n. Which gives you -70 = 7n
3. We then divide both sides by 7 in order to get -10 = n
This gives you your final answer of n = -10
If S = 2(lw + lh + wh) and l = 5w, rewrite the equation for S, substituting in 5w for l.
Answer:
S = 2w( 5w + 6h)
Step-by-step explanation:
given:
S = 2(lw + lh + wh)
if l = 5w, then we simply substitute this into the expression above.
S = 2[ lw + lh + wh ]
S = 2[ (5w)w + (5w)h + wh ]
S = 2[ 5w² + 5wh + wh ]
S = 2( 5w² + 6wh) simplify by factoring out w
S = 2w( 5w + 6h)
PLEASE HELP YALL
simplify the expression:
-3 (4u -9)
Answer: (-12u+27)
Step-by-step explanation: I distributed the negative 3
help help HELP!!! PLEASE
Use the described technique to solve the equation describing the following problem:
A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no starting fee. At which distance (in kilometers) will the price of taking an Uber be equal to the price of taking a city taxi?
2. Tina uSUally brings her children every Sunday afternoon at the children's park in their barangay. The park is 350m Iong and 200m wide complete with slides and
swings for children to play. If is surounded by a pathway of unifom width for children who loves biking and jogging. Suppose the total area of the park and the pathway is 74,464 m2.
a. How wide is the pathway of the park?
b. If you were Tina, woulad you like your children fo go biking and jogging in that park?
Answer: kindly check explanation
Step-by-step explanation:
Given the following :
Total area of parknand path way = 74,464 m2.
Dimension of park = 350m by 200m
Using the area of rectangle formula:
Area = Length * width
Area of park = 350m * 200m
Area of park = 70,000
Area of path = (74,464 - 70,000) = 4,464m2
Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m
2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path
State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386
FOOD $804
CHILD CARE $1,709
Transportation $1,235
HEALTH CARE $908
OTHER NECESSITIES $884
TAXES $1,483
Monthly Total $8,409
Annual Total $100,909
Answer:
these teachers b expectin u to do this bs
Step-by-step explanation:
do i use mean and standard deviation or median and interquartile range?
Answer: median and interquartile range
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!
Find the values of the letters
Answer:
A = -3
B = 5
Proof:
A ⇒ -3+5 = 2
B ⇒ 3+2 = 5
Answer:
7=A 6=B
Step-by-step explanation: 37+25=62
Given 45-45-90 triangle with hypotenuse of 3cm solve for the other sides.
Answer:
[tex]\sqrt{\frac{9}{2} }[/tex]
Step-by-step explanation:
Given dimensions:
The right angle system is a 45 - 45 - 90
Hypotenuse = 3cm
Unknown:
Adjacent and opposite sides = ?
Solution:
In this triangle, the adjacent and opposite sides are equal to one another. So,
Let adjacent = y
opposite = y
For right angle triangles as this, using the Pythagoras theorem,
hypotenuse² = adjacent² + opposite²
Insert the parameters and solve;
3² = y² + y²
2y² = 9
y² = [tex]\frac{9}{2}[/tex]
y = [tex]\sqrt{\frac{9}{2} }[/tex]
f(x)= -3/4x+6
Find the inverse I need help pretty bad please help!!
Answer:
f⁻¹(x)= - 4x/3 +8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
write four integers between -10 and 3
Answer:
-4, -3, -2, -1
Step-by-step explanation:
all the integers between -10 and 3
-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2
Answer:
-9, -8, 2, 1
Step-by-step explanation:
Integers are whole number that can either be positive or negative.
What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
What are the solutions to the quadratic equation 3(x − 4)2 = 75?
x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9
Answer:
x=-1 and x=9
Step-by-step explanation:
[tex]3(x-4)^{2} =75[/tex]
[tex](x-4)^{2} =\frac{75}{3}[/tex]
[tex](x-4)^{2}[/tex]=[tex]25[/tex]
[tex](x-4)(x-4)[/tex]=[tex]25[/tex]
[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16-25=0[/tex]
[tex]x^{2} -8x-9=0[/tex]
[tex](x-9)(x+1)=0[/tex]
[tex]x-9=0\\x=0+9\\x=9[/tex] [tex]x+1=0\\x=0-1\\x=-1[/tex]
therefore x=9 and x=-1
Answer:
the answer is d x = −1 and x = 9
Step-by-step explanation:
Complete the factorization of 3x2 – 10x + 8.
3x^2 – 10x + 8 = (x – _ )( _ x – 4)
Answer:
picture of answer on edge 2023.
Step-by-step explanation:
What is the equation of the line?
Answer:
y = 2/3x + 4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Find the value of x.
Answer:
its 90 bro whenever you see that square on a corner its always 90 degrees
Step-by-step explanation:
Answer:
The answer is 90 degrees.
Whenever you see a square in the corner, it means it's 90 degrees.
It's also red, meaning that that is what you're trying to find.
Square root 2-x =x-2
Answer:
The square root of 2-x+x-2 is the square root of x (2-x)
Step-by-step explanation:
PLEASE HELP MEEEEEEEEEEEEE
The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ:
Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively.
According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Which property of equality accurately completes the proof?
А Reflexive
B Substitution
C Subtraction
D Transitive
Answer:
The correct answer is Transitive
What is the sign of the product if you multiplied three negative integers?
Answer:
negative
Step-by-step explanation:
Answer:
negative
Step-by-step explanation:
negative times negative is positive
then, the positive times negative is negative
Round 463,751 to the nearest hundred.
Answer:
463,800
Step-by-step explanation:
:) watch this be wrong lol
Kya is mailing a package to her friend for her birthday. The United States Post Office charges her a flat fee of $8.50 for packing materials plus an additional $0.18 per ounce.
a. Define your variables:
b. Write a function that will help Kya determine how much it will cost to ship her package to her friend based on the weight of the package (in ounces).
c. Kya is trying to remember how much the package she sent weighed. She doesn’t remember the weight exactly, but she knows how much it cost her to mail the package. Write a function that will determine the weight of the package (in ounces) based on the total cost to mail the package.
d. It cost Kya $17.50 to mail her package to her friend. How much did the package weigh? Explain your solution, including the function, used to determine your answer.
Answer:
The answer is Y=8.5+0.18x
Step-by-step explanation:
Given data
Let the flat fee be $8.5
Let the additional fee per ounce be $0.18
Let the total amount to mail the package be y
Therefore the total amount is
Y=8.5+0.18x
The function is Y=8.5+0.18x