Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For the functions in this problem, we consider that:
The entrance fee is the intercept.The cost for carnivals(games/rides) is the slope.Hence the cost functions for Kiara and Donovon are given, respectively, by:
K(x) = 5 + 0.75x.D(x) = 7 + 0.5x.The costs will be the same when:
K(x) = D(x)
5 + 0.75x = 7 + 0.5x.
0.25x = 2
x = 2/0.25
x = 8.
They have to buy 8 tickets for the costs to be the same.
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Is 3 irrational number integer real number whole number natural number irrational number
3 is a whole number, as it is a regular number, on the other hand decimals and negatives are a diffrent story! Have fun on Brainly!
V=1/3xr^2(h-1) solve for h
Answer: h=3v+xr^{2}/xr^{2}
Step-by-step explanation:
t distribution, or neither. Claim: μ = 83. Sample data: n = 24, = 103, s = 15.1. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.
Student t distribution
A measurement of a data set's deviation from the mean is referred to as "standard deviation". While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.
The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
We have,
Claim : μ = 83
Sample data : s = 15.1, n = 24, and x = 103
The hypothesis test uses the student t distribution because we are evaluating the mean in this situation, the sample standard deviation of a normal distribution is estimated or supplied, and the population's standard deviation is unknown.
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If f(x) = 3x - 1 and g(x) = x^2-4x, find f(g(x)).
A) 3x-1
____
x^2- 4x
B) 3x^2-12x-1
C) 3x^3-13x^2+4x
D) 9x^2-18x+5
Answer:
[tex] \large{ \boxed{ \tt{3 {x}^{2} - 12x - 1 }}}[/tex]
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PLEASE HELP Four different linear functions are represented below. Answer the following questions.
The closest y-intercept is in function 1 so in option (A), the Greatest y-intercept is +4 in function 3 so in option (C), Functions 1 and 2 will have a slope less than 3 option (A) and (B).
What is a graph?The graph is a geometrical representation of a function and can be plotted by taking x's and y's corresponding values within the interval.
For example plot of y = x³ ,y = sinx.
Given four functions,
The y-intercept is a point on the y-axis where the graph intersects therefore coordinate of x will be 0.
In function 1 ⇒ y-intercept = -1 in rest, all it is far from 1 therefore it is close to 0.
The y-intercept of function 3 is →
y = x + 4 ⇒ y = 0 + 4 = 4 which is greatest positive value among all.
The slope of any function associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of function 1 has points (0,-1) and (1,-5)
(-5 + 1)/(1 - 0) = -4 < 3
The slope of function 2 →
(5 - 8)/(-1 + 2) = -3 < 3 rest all function have slope as > 3.
Hence "The closest y-intercept is in function 1, the Greatest y-intercept is +4 in function 3 , Functions 1 and 2 will have a slope less than 3".
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8,702 mL = ______________ L
Answer:I think it's 8.702 L
Step-by-step explanation:
the sum of an arithmetic series is given be Sn= 6n-3n2. find the common difference and the first 4 terms of the sequence
The common difference and the first four terms are - 12 and 3, -9, -21 , -33 respectively
How to determine the valueGiven that the sum of an arithmetic sequence is 6n-3n²
Let the first term of the sequence be a1The second term of the sequence be a2The third term of the sequence be a3The fourth term be a4d denotes common difference of the sequenceS1 = a1 = 6(1) - 3(1)² = 6 - 3 = 3
S4 = a1 + a2 + a3 + a4 = 6(4) - 3(4)² = -24
a1 + a2+ a3 + a4 + d = -24
4(a1) + d = -24
4(3) + d = -24
12 + d = -24
d = -24 + 12
d = -12
The first four terms are;
T2 = 3 + (2-1) -12
T2 = 3 -12
T2 = -9
T3 = 3 + 2(-12)
T3 = 3 - 24
T3 = -21
T4 = 3 + 3(-12)
T4 = 3 - 36
T4 = -33
Thus, the common difference and the first four terms are - 12 and 3, -9, -21 , -33 respectively
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Order the square root of 97 to the third power, 78/9, and the square root of 45 from greatest to least.
Answer:The answer would be the second
Step-by-step explanation:The square root of 97 to the third power is 955.3. 78/9 is 8.6 and the square root of 45 is 6.7.
-) Use the E -
& definition of a limit to prove that
lim 7x3 = 4
x-1
The [tex]\lim_{x \to 1} 7x-3=7(1)-3=4[/tex] using the ε − δ definition of a limit.
The value that a function approaches when the input approaches a certain value is known as a limit. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.
The limit of f(x) at x = c is L according to the epsilon-delta definition of limits if ε > 0 there's a δ > 0 such that if the distance of x from c is less than, then the distance of f(x) from L is less than ε. The idea that we can approach L as closely as we like is expressed in this way.
[tex]\lim_{x \to a}f(x)= L[/tex] if ∀ ε > 0, ∃ δ > 0
0 < | x − a| < δ
⇒ | f(x) − L | < ε
Now, consider the limit
[tex]\lim_{x \to 1} 7x-3=4[/tex]
Here, f(x) = 7x - 3, a = 1, L = 4
Proof:
∀ ε > 0, ∃ δ = ε > 0
0 < | x - 1 | < δ
⇒ | 7x - 3 - 4 | = | x - 1 | < δ = ε
Hence, [tex]\lim_{x \to 1} 7x-3=4[/tex]
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Lesson 3.1 worksheet please help thank you!
Can someone solve this equation please ? 3/4x + 7 = -8
Answer:
x = -20
Step-by-step explanation:
Solve for x:
(3 x)/4 + 7 = -8
Put each term in (3 x)/4 + 7 over the common denominator 4: (3 x)/4 + 7 = (3 x)/4 + 28/4:
((3 x)/4 + 28/4) = -8
(3 x)/4 + 28/4 = (3 x + 28)/4:
(1/4 (3 x + 28)) = -8
Multiply both sides of (3 x + 28)/4 = -8 by 4:
(4 (3 x + 28))/4 = -8×4
(4 (3 x + 28))/4 = 4/4×(3 x + 28) = 3 x + 28:
(3 x + 28) = -8×4
4 (-8) = -32:
3 x + 28 = -32
Subtract 28 from both sides:
3 x + (28 - 28) = -28 - 32
28 - 28 = 0:
3 x = -28 - 32
-28 - 32 = -60:
3 x = -60
Divide both sides of 3 x = -60 by 3:
(3 x)/3 = (-60)/3
3/3 = 1:
x = (-60)/3
The gcd of -60 and 3 is 3, so (-60)/3 = (3 (-20))/(3×1) = 3/3×-20 = -20:
Answer: x = -20
Find the slope of the line
Please help thank you
Answer:
y=3/4x
Step-by-step explanation:
I use the Rise/Run method. It helps the most for me
If you buy 100 shares of a stock that cost $30 per share and the value of the stock increase 10% each year for 3 years, what is the value of your stock after 3 years
Answer:
$3900
Step-by-step explanation:
100*30=$3000
10%=0.1 ---> 3*0.1=0.3
3000*1.3=$3900
Graph the image of the pre-image shown below, reflected across the y-axis.
PLEAS ANSWER QUICK ASAP
Answer: (3,5),(9,1),(6,-9)
Step-by-step explanation:
Just mirror it to the other side.
What is In(3x)=2 ? Pre-Calc/Calc
The final value of the equation is x=e²/3
A natural log is a logarithm with the base "e." It is represented by the symbol "ln." In other words, loge = ln. In other words, the natural logarithm lacks a base. When "ln" is recognized automatically, "e" is assumed to be its base. The same set of logarithmic rules applies to all logarithms, including the natural logarithm. As a result, the following are the key natural log rules (also known as ln rules):
ln (mn) = ln m + ln nln (m/n) = ln m - ln nln mn = n ln mln a = (log a) / (log e)ln e = 1ln 1 = 0log∨b m = x ⇒ m = b∧xlog∨e(3x)=23x=e²x=e²/3Therefore the final answer for the given question is x=e²/3
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L = {0,20,40,80,100}
M = {5,10,15,20,25}
N = {10,20,30,40,50}
Sets L, M, and N are shown above. Which of the following sets represents LU (MnN) (the union of L with the interesection of sets M and N)?
The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}.
What is domain and range ?
The bis the set of possible input values, and the range is the set of all possible output values of the graph.
In the sets:
Union (∪) of two sets means all the elements in the two sets without repeating the same elements
Intersection (∩) of two sets means the common elements in the two sets
∵ Set L = {0 , 20 , 40 , 80 , 100}
∵ Set M = {5 , 10 , 15 , 20 , 25}
∵ Set N = {10 , 20 , 30 , 40 , 50}
We need to find L ∪ (M ∩ N)
At first find (M ∩ N)
M ∩ N means find the common elements of M and N
10 and 20 are common elements in M and N
M ∩ N = {10 , 20}
Now find the union of L and {10 , 20}
L ∪ {10 , 20} means all elements in L and {10 , 20} without repeating the same elements
L ∪ {10 , 20} = {0 , 10 , 20 , 40 , 80 , 100}
L ∪ (M ∩ N) = {0 , 10 , 20 , 40 , 80 , 100}
The sets represents L ∪ (M ∩ N) is {0 , 10 , 20 , 40 , 80 , 100}
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Find X and Y with these angles. Thank you
Which equation has the solution x = 5?
A. 3x + 1 = 9
B. 18 - 2x = 9
C. 32 - 4x = 12
D. 25/x + 4 = 9
E. x/5 + 5 = 6
F. 11 + 6x = 22
Answer:
C. 32 - 4x = 12
Step-by-step explanation:
In a election of municipality two candidates P and Q stood for the post of mayor and 35000 people were in voter list. Voters were supposed to cast for a single candidate .22000 people cast vote for P, 5500 people cast for Q and 1500 cast vote even for both. How many people didn't cast vote find it
6000 people didn't cast their vote and 1500 votes are not valid in the election
Given that In a municipal election, two candidates, P, and Q, ran for the position of Mayor, and 35000 people voted. Voters were supposed to vote for only one candidate. P received 22000 votes, Q received 5500 votes, and 1500 cast votes for P and Q.
Number of votes for P =22,000
Number of votes for Q= 5500
1500 cast votes to Both P and Q, these votes are not valid because each one is supposed to vote only for one.
Therefore, the number of votes not valid is 1500
Total people cast vote= sum of votes for every party
Total people cast vote=22,000+ 5500+1500
Total people casted vote=29,000
Therefore, 6000 people didn't cast their vote and 1000 votes are not valid in the election
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Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x)=
400(1.02. What is the meaning of the y-intercept in the context of the problem?
The initial value of the investment is $400.
The principal amount put into the savings plan is $1.02.
The percent rate of change is 400%.
The average rate of change that is occurring is 1.02.
In the context of the issue, the letter D represents the meaning of the y-intercept.
The value of the investment at the outset is determined to be $600.
How can we make sense of this information?Based on the data, the growth of the savings plan over the course of one year, denoted by the variable x, may be modeled using the exponential function f(x) = 600 * (1.04)x.
In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $600.
In conclusion, the choice D is the one that should be made.
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Answer:
(A) The initial value of the investment is $400.
Step-by-step explanation:
Got it right on my quiz.
Every pay period, Tamara pays 11% of her gross pay in taxes and an additional $200 in voluntary retirement deductions.
Write an equation that represents Tamara's net pay, where x represents her gross pay per pay period.
Of(x) = 0.89x - 200
Of(x) = 0.89x+ 200
Of(x) = 0.11x + 200
Of(x) = 0.11x-200
An equation that represents Tamara's net pay, where x represents her gross pay per pay period is: D. f(x) = 0.11x - 200
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
Mathematically, net pay can be calculated by using this formula:
Net pay = Gross pay - Deductions.
In order to solve this word problem, we would assign variables to the gross pay and then translate the word problem into algebraic equation as follows:
Let x represent the gross pay.
Translating the word problem into an equation, we have;
f(x) = 0.11x - 200
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Fifth grade
Rasheeds body mass was 120kg.He went on a diet and lost 1/6 of his body mass during the first month and 1/10 of his remaining mass during the second month.
What fraction of his original mass did Rasheed lose during the second
The fraction of the original mass that was lost in the second month is 1/12.
What is the fraction?A fraction is a non-integer that is made up of numerators and denominators. An example of a fraction is 1/6.
Weight lost in the first month = 1/6 x 120 = 20kg
Weight lost in the second month = 1/10 x (120 - 20)
= 1/10 x 100 = 10kg
Fraction of the original mass that was lost in the second month : weight lost in the second month / total mass
10 kg / 120 = 1/12
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round off to millions
9887674
69954943
47546804
Answer:
9,887,674 ≈ 10,000,000
69,954,943 ≈ 70,000,000
47,546,804 ≈ 48,000,000
The coordinates of point T are (0,5). The midpoint of ST is (6,-2) find the coordinates of point S
The coordinates of point S are (12,₋9)
Given, coordinates of T are (0,5)
midpoint of ST is (6,₋2)
When it is necessary to determine the precise center point between two specified points, the midpoint formula is used. So you may use this method to determine the point that divides a line segment specified by two points in half.
coordinates of S are = ?
we know the midpoint formula is (x₊x₁)/2 , (y₊y₁)/2
The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.
substitute the given values in the formula.
(6,₋2) = (x₊0)/2 , (y₊5)/2
for the x value of S:
x/2 = 6
x = 12
for the y value of S:
y₊5/2 = ₋2
y ₊ 5 = ₋4
y = ₋4 ₋ 5
y = ₋9
Therefore the coordinates of S are (12,₋9)
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Which of the following values are solutions to the given
equation?
|x-5|=9
Be sure to select ALL numbers which are solutions.
(Select all that apply.)
x=3
x = 14
x = -2
x = 9
x= -14
x=-4
Step-by-step explanation:
x= 14 and x = -4 these are the answers
I need the quotient of this expression
The quotient of the expression [tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex] is [tex]x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex].
In mathematics, the outcome of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor.
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
Constant: An absolute numerical number is referred to as a constant.
Variable: A symbol without a set value is referred to as a variable.
Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.
Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.
Consider the expression,
[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5}[/tex]
Now,
[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2}+\frac{-3x^{3}+7x^{2}-5x+1}{x^{2}-5}[/tex]
[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + \frac{7x^{2}-20x+1}{x^{2}-5}[/tex]
[tex]\frac{x^{4}-3x^{3}+2x^{2}-5x+1}{x^{2}-5} = x^{2} - 3x + 7 + \frac{-20x+36}{x^{2}-5}[/tex]
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Rita bought 1/4 pound hamburger patties
for her family reunion picnic. She
bought 50 patties. How many pounds of
hamburgers did she buy?
Answer:
12 1/2 pounds
Step-by-step explanation:
You want to know the total weight of 50 hamburger patties that weigh 1/4 pound each.
Total weightThe weight of 50 patties will be the sum of their weights. That sum is most easily figured using multiplication.
(1/4 lb) +(1/4 lb) +(1/4 lb) +... +(1/4 lb) . . . . 50 repetitions
= 50 × (1/4 lb)
= (50/4) lb = 12.5 lb
Rita bought 12 1/2 pounds of hamburgers.
Solve the equation below for p:
9p-12=-3p+24
Answer:
p= 3
Step-by-step explanation:
Answer:
p = 3
Step-by-step explanation:
Solving for the value of p,
→ 9p - 12 = -3p + 24
→ 9p + 3p = 24 + 12
→ 12p = 36
→ p = 36/12
→ [ p = 3 ]
Thus, the value of p is 3.
A 6-inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour??
Answer:
1 inch per hour.
Step-by-step explanation:
If a candle burns 6 inches in 6 hours, this means 1 inch of the candle melted every hour. Therefore, the candle burned/melted at a rate of 1 inch per hour.
Hope this helps!
Answer: the candle burns down at about 1 inch per hour
Step-by-step explanation: since if it is burning the whole time the equation you can do is 6 hours divided by 6 inches which is 1 hour by 1 inch
What polynomial must be added to -3c^{2} +3 -6c in order to get a sum of 2c^{2} -c+5
The polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]
Given,
The first polynomial = [tex]-3c^{2}+3-6c[/tex]
The result = [tex]2c^{2}-c+5[/tex]
Then,
[tex]-3c^{2}+3-6c[/tex] + second polynomial = [tex]2c^{2}-c+5[/tex]
The second polynomial = [tex]2c^{2}-c+5[/tex] -( [tex]-3c^{2}+3-6c[/tex] )
[tex]=2c^{2}-c+5+3c^{2}+6c-3\\ =(2+3)c^{2}+(-1+6)c+(5-3)\\ =5c^{2}+5c+2[/tex]
Hence, the polynomial that added to [tex]-3c^{2}+3-6c[/tex] in order to get a sum of [tex]2c^{2}-c+5[/tex] is [tex]5c^{2}+5c+2[/tex]
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